Initial Problem

Start: eval_speedSingleSingle2_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4
Temp_Vars: nondef.0
Locations: eval_speedSingleSingle2_0, eval_speedSingleSingle2_1, eval_speedSingleSingle2_bb0_in, eval_speedSingleSingle2_bb1_in, eval_speedSingleSingle2_bb2_in, eval_speedSingleSingle2_bb3_in, eval_speedSingleSingle2_bb4_in, eval_speedSingleSingle2_bb5_in, eval_speedSingleSingle2_bb6_in, eval_speedSingleSingle2_start, eval_speedSingleSingle2_stop
Transitions:
6:eval_speedSingleSingle2_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedSingleSingle2_1(nondef.0,Arg_1,Arg_2,Arg_3,Arg_4)
7:eval_speedSingleSingle2_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedSingleSingle2_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:0<Arg_0
8:eval_speedSingleSingle2_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedSingleSingle2_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_0<=0
3:eval_speedSingleSingle2_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedSingleSingle2_bb1_in(Arg_0,Arg_1,Arg_2,0,0):|:0<=Arg_2 && 0<=Arg_1
1:eval_speedSingleSingle2_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedSingleSingle2_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_2<0
2:eval_speedSingleSingle2_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedSingleSingle2_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_1<0
4:eval_speedSingleSingle2_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedSingleSingle2_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)
9:eval_speedSingleSingle2_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedSingleSingle2_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_3<Arg_2
10:eval_speedSingleSingle2_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedSingleSingle2_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_2<=Arg_3
11:eval_speedSingleSingle2_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedSingleSingle2_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3+1,Arg_4+1)
12:eval_speedSingleSingle2_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedSingleSingle2_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_4<Arg_1
13:eval_speedSingleSingle2_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedSingleSingle2_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_1<=Arg_4
14:eval_speedSingleSingle2_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedSingleSingle2_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3+1,Arg_4+1)
15:eval_speedSingleSingle2_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedSingleSingle2_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)
0:eval_speedSingleSingle2_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedSingleSingle2_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)

Preprocessing

Found invariant Arg_4<=Arg_3 && 1+Arg_4<=Arg_2 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && Arg_3<=Arg_4 && 1<=Arg_2+Arg_4 && 0<=Arg_1+Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_3<=Arg_2 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 0<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1<=Arg_2 && 1<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 for location eval_speedSingleSingle2_bb3_in

Found invariant Arg_4<=Arg_3 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && Arg_3<=Arg_4 && 0<=Arg_2+Arg_4 && 0<=Arg_1+Arg_4 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 0<=Arg_1+Arg_3 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1 for location eval_speedSingleSingle2_1

Found invariant Arg_4<=Arg_3 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && Arg_3<=Arg_4 && 0<=Arg_2+Arg_4 && 0<=Arg_1+Arg_4 && 1<=Arg_0+Arg_4 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 0<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 for location eval_speedSingleSingle2_bb2_in

Found invariant Arg_4<=Arg_3 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && Arg_3<=Arg_4 && 0<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 0<=Arg_1+Arg_4 && 1<=Arg_0+Arg_4 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 0<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 for location eval_speedSingleSingle2_bb4_in

Found invariant Arg_4<=Arg_3 && 1+Arg_4<=Arg_1 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && Arg_3<=Arg_4 && 0<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 1<=Arg_1+Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 1<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location eval_speedSingleSingle2_bb5_in

Found invariant Arg_4<=Arg_3 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && Arg_3<=Arg_4 && 0<=Arg_2+Arg_4 && 0<=Arg_1+Arg_4 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 0<=Arg_1+Arg_3 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1 for location eval_speedSingleSingle2_bb1_in

Found invariant Arg_4<=Arg_3 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && Arg_3<=Arg_4 && 0<=Arg_2+Arg_4 && 0<=Arg_1+Arg_4 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 0<=Arg_1+Arg_3 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1 for location eval_speedSingleSingle2_0

Problem after Preprocessing

Start: eval_speedSingleSingle2_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4
Temp_Vars: nondef.0
Locations: eval_speedSingleSingle2_0, eval_speedSingleSingle2_1, eval_speedSingleSingle2_bb0_in, eval_speedSingleSingle2_bb1_in, eval_speedSingleSingle2_bb2_in, eval_speedSingleSingle2_bb3_in, eval_speedSingleSingle2_bb4_in, eval_speedSingleSingle2_bb5_in, eval_speedSingleSingle2_bb6_in, eval_speedSingleSingle2_start, eval_speedSingleSingle2_stop
Transitions:
6:eval_speedSingleSingle2_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedSingleSingle2_1(nondef.0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_4<=Arg_3 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && Arg_3<=Arg_4 && 0<=Arg_2+Arg_4 && 0<=Arg_1+Arg_4 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 0<=Arg_1+Arg_3 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1
7:eval_speedSingleSingle2_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedSingleSingle2_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_4<=Arg_3 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && Arg_3<=Arg_4 && 0<=Arg_2+Arg_4 && 0<=Arg_1+Arg_4 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 0<=Arg_1+Arg_3 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1 && 0<Arg_0
8:eval_speedSingleSingle2_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedSingleSingle2_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_4<=Arg_3 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && Arg_3<=Arg_4 && 0<=Arg_2+Arg_4 && 0<=Arg_1+Arg_4 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 0<=Arg_1+Arg_3 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1 && Arg_0<=0
3:eval_speedSingleSingle2_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedSingleSingle2_bb1_in(Arg_0,Arg_1,Arg_2,0,0):|:0<=Arg_2 && 0<=Arg_1
1:eval_speedSingleSingle2_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedSingleSingle2_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_2<0
2:eval_speedSingleSingle2_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedSingleSingle2_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_1<0
4:eval_speedSingleSingle2_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedSingleSingle2_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_4<=Arg_3 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && Arg_3<=Arg_4 && 0<=Arg_2+Arg_4 && 0<=Arg_1+Arg_4 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 0<=Arg_1+Arg_3 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1
9:eval_speedSingleSingle2_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedSingleSingle2_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_4<=Arg_3 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && Arg_3<=Arg_4 && 0<=Arg_2+Arg_4 && 0<=Arg_1+Arg_4 && 1<=Arg_0+Arg_4 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 0<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_3<Arg_2
10:eval_speedSingleSingle2_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedSingleSingle2_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_4<=Arg_3 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && Arg_3<=Arg_4 && 0<=Arg_2+Arg_4 && 0<=Arg_1+Arg_4 && 1<=Arg_0+Arg_4 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 0<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_2<=Arg_3
11:eval_speedSingleSingle2_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedSingleSingle2_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3+1,Arg_4+1):|:Arg_4<=Arg_3 && 1+Arg_4<=Arg_2 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && Arg_3<=Arg_4 && 1<=Arg_2+Arg_4 && 0<=Arg_1+Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_3<=Arg_2 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 0<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1<=Arg_2 && 1<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0
12:eval_speedSingleSingle2_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedSingleSingle2_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_4<=Arg_3 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && Arg_3<=Arg_4 && 0<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 0<=Arg_1+Arg_4 && 1<=Arg_0+Arg_4 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 0<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_4<Arg_1
13:eval_speedSingleSingle2_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedSingleSingle2_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_4<=Arg_3 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && Arg_3<=Arg_4 && 0<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 0<=Arg_1+Arg_4 && 1<=Arg_0+Arg_4 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 0<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_1<=Arg_4
14:eval_speedSingleSingle2_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedSingleSingle2_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3+1,Arg_4+1):|:Arg_4<=Arg_3 && 1+Arg_4<=Arg_1 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && Arg_3<=Arg_4 && 0<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 1<=Arg_1+Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 1<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0
15:eval_speedSingleSingle2_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedSingleSingle2_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)
0:eval_speedSingleSingle2_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedSingleSingle2_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)

MPRF for transition 9:eval_speedSingleSingle2_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedSingleSingle2_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_4<=Arg_3 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && Arg_3<=Arg_4 && 0<=Arg_2+Arg_4 && 0<=Arg_1+Arg_4 && 1<=Arg_0+Arg_4 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 0<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_3<Arg_2 of depth 1:

new bound:

Arg_2 {O(n)}

MPRF:

eval_speedSingleSingle2_1 [Arg_2-Arg_3 ]
eval_speedSingleSingle2_0 [Arg_2-Arg_3 ]
eval_speedSingleSingle2_bb2_in [Arg_2-Arg_4 ]
eval_speedSingleSingle2_bb3_in [Arg_2-Arg_3-1 ]
eval_speedSingleSingle2_bb4_in [Arg_2-Arg_4 ]
eval_speedSingleSingle2_bb5_in [Arg_2-Arg_4 ]
eval_speedSingleSingle2_bb1_in [Arg_2-Arg_3 ]

MPRF for transition 11:eval_speedSingleSingle2_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedSingleSingle2_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3+1,Arg_4+1):|:Arg_4<=Arg_3 && 1+Arg_4<=Arg_2 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && Arg_3<=Arg_4 && 1<=Arg_2+Arg_4 && 0<=Arg_1+Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_3<=Arg_2 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 0<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1<=Arg_2 && 1<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 of depth 1:

new bound:

Arg_2 {O(n)}

MPRF:

eval_speedSingleSingle2_1 [Arg_2-Arg_4 ]
eval_speedSingleSingle2_0 [Arg_2-Arg_3 ]
eval_speedSingleSingle2_bb2_in [Arg_2-Arg_3 ]
eval_speedSingleSingle2_bb3_in [Arg_2-Arg_4 ]
eval_speedSingleSingle2_bb4_in [Arg_2-Arg_3 ]
eval_speedSingleSingle2_bb5_in [Arg_2-Arg_3 ]
eval_speedSingleSingle2_bb1_in [Arg_2-Arg_3 ]

MPRF for transition 12:eval_speedSingleSingle2_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedSingleSingle2_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_4<=Arg_3 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && Arg_3<=Arg_4 && 0<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 0<=Arg_1+Arg_4 && 1<=Arg_0+Arg_4 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 0<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_4<Arg_1 of depth 1:

new bound:

Arg_1+1 {O(n)}

MPRF:

eval_speedSingleSingle2_1 [Arg_1+1-Arg_4 ]
eval_speedSingleSingle2_0 [Arg_1+1-Arg_4 ]
eval_speedSingleSingle2_bb2_in [Arg_1+1-Arg_3 ]
eval_speedSingleSingle2_bb3_in [Arg_1+1-Arg_4 ]
eval_speedSingleSingle2_bb4_in [Arg_1+1-Arg_4 ]
eval_speedSingleSingle2_bb5_in [Arg_1-Arg_3 ]
eval_speedSingleSingle2_bb1_in [Arg_1+1-Arg_4 ]

MPRF for transition 14:eval_speedSingleSingle2_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedSingleSingle2_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3+1,Arg_4+1):|:Arg_4<=Arg_3 && 1+Arg_4<=Arg_1 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && Arg_3<=Arg_4 && 0<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 1<=Arg_1+Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 1<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 of depth 1:

new bound:

Arg_1 {O(n)}

MPRF:

eval_speedSingleSingle2_1 [Arg_1-Arg_3 ]
eval_speedSingleSingle2_0 [Arg_1-Arg_4 ]
eval_speedSingleSingle2_bb2_in [Arg_1-Arg_4 ]
eval_speedSingleSingle2_bb3_in [Arg_1-Arg_4 ]
eval_speedSingleSingle2_bb4_in [Arg_1-Arg_3 ]
eval_speedSingleSingle2_bb5_in [Arg_1-Arg_4 ]
eval_speedSingleSingle2_bb1_in [Arg_1-Arg_4 ]

knowledge_propagation leads to new time bound Arg_1+Arg_2+1 {O(n)} for transition 4:eval_speedSingleSingle2_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedSingleSingle2_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_4<=Arg_3 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && Arg_3<=Arg_4 && 0<=Arg_2+Arg_4 && 0<=Arg_1+Arg_4 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 0<=Arg_1+Arg_3 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1

knowledge_propagation leads to new time bound Arg_1+Arg_2+1 {O(n)} for transition 6:eval_speedSingleSingle2_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedSingleSingle2_1(nondef.0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_4<=Arg_3 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && Arg_3<=Arg_4 && 0<=Arg_2+Arg_4 && 0<=Arg_1+Arg_4 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 0<=Arg_1+Arg_3 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1

knowledge_propagation leads to new time bound Arg_1+Arg_2+1 {O(n)} for transition 7:eval_speedSingleSingle2_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedSingleSingle2_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_4<=Arg_3 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && Arg_3<=Arg_4 && 0<=Arg_2+Arg_4 && 0<=Arg_1+Arg_4 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 0<=Arg_1+Arg_3 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_1 && 0<Arg_0

knowledge_propagation leads to new time bound Arg_1+Arg_2+1 {O(n)} for transition 10:eval_speedSingleSingle2_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedSingleSingle2_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_4<=Arg_3 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && Arg_3<=Arg_4 && 0<=Arg_2+Arg_4 && 0<=Arg_1+Arg_4 && 1<=Arg_0+Arg_4 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 0<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_2<=Arg_3

All Bounds

Timebounds

Overall timebound:6*Arg_1+6*Arg_2+12 {O(n)}
6: eval_speedSingleSingle2_0->eval_speedSingleSingle2_1: Arg_1+Arg_2+1 {O(n)}
7: eval_speedSingleSingle2_1->eval_speedSingleSingle2_bb2_in: Arg_1+Arg_2+1 {O(n)}
8: eval_speedSingleSingle2_1->eval_speedSingleSingle2_bb6_in: 1 {O(1)}
1: eval_speedSingleSingle2_bb0_in->eval_speedSingleSingle2_bb6_in: 1 {O(1)}
2: eval_speedSingleSingle2_bb0_in->eval_speedSingleSingle2_bb6_in: 1 {O(1)}
3: eval_speedSingleSingle2_bb0_in->eval_speedSingleSingle2_bb1_in: 1 {O(1)}
4: eval_speedSingleSingle2_bb1_in->eval_speedSingleSingle2_0: Arg_1+Arg_2+1 {O(n)}
9: eval_speedSingleSingle2_bb2_in->eval_speedSingleSingle2_bb3_in: Arg_2 {O(n)}
10: eval_speedSingleSingle2_bb2_in->eval_speedSingleSingle2_bb4_in: Arg_1+Arg_2+1 {O(n)}
11: eval_speedSingleSingle2_bb3_in->eval_speedSingleSingle2_bb1_in: Arg_2 {O(n)}
12: eval_speedSingleSingle2_bb4_in->eval_speedSingleSingle2_bb5_in: Arg_1+1 {O(n)}
13: eval_speedSingleSingle2_bb4_in->eval_speedSingleSingle2_bb6_in: 1 {O(1)}
14: eval_speedSingleSingle2_bb5_in->eval_speedSingleSingle2_bb1_in: Arg_1 {O(n)}
15: eval_speedSingleSingle2_bb6_in->eval_speedSingleSingle2_stop: 1 {O(1)}
0: eval_speedSingleSingle2_start->eval_speedSingleSingle2_bb0_in: 1 {O(1)}

Costbounds

Overall costbound: 6*Arg_1+6*Arg_2+12 {O(n)}
6: eval_speedSingleSingle2_0->eval_speedSingleSingle2_1: Arg_1+Arg_2+1 {O(n)}
7: eval_speedSingleSingle2_1->eval_speedSingleSingle2_bb2_in: Arg_1+Arg_2+1 {O(n)}
8: eval_speedSingleSingle2_1->eval_speedSingleSingle2_bb6_in: 1 {O(1)}
1: eval_speedSingleSingle2_bb0_in->eval_speedSingleSingle2_bb6_in: 1 {O(1)}
2: eval_speedSingleSingle2_bb0_in->eval_speedSingleSingle2_bb6_in: 1 {O(1)}
3: eval_speedSingleSingle2_bb0_in->eval_speedSingleSingle2_bb1_in: 1 {O(1)}
4: eval_speedSingleSingle2_bb1_in->eval_speedSingleSingle2_0: Arg_1+Arg_2+1 {O(n)}
9: eval_speedSingleSingle2_bb2_in->eval_speedSingleSingle2_bb3_in: Arg_2 {O(n)}
10: eval_speedSingleSingle2_bb2_in->eval_speedSingleSingle2_bb4_in: Arg_1+Arg_2+1 {O(n)}
11: eval_speedSingleSingle2_bb3_in->eval_speedSingleSingle2_bb1_in: Arg_2 {O(n)}
12: eval_speedSingleSingle2_bb4_in->eval_speedSingleSingle2_bb5_in: Arg_1+1 {O(n)}
13: eval_speedSingleSingle2_bb4_in->eval_speedSingleSingle2_bb6_in: 1 {O(1)}
14: eval_speedSingleSingle2_bb5_in->eval_speedSingleSingle2_bb1_in: Arg_1 {O(n)}
15: eval_speedSingleSingle2_bb6_in->eval_speedSingleSingle2_stop: 1 {O(1)}
0: eval_speedSingleSingle2_start->eval_speedSingleSingle2_bb0_in: 1 {O(1)}

Sizebounds

6: eval_speedSingleSingle2_0->eval_speedSingleSingle2_1, Arg_1: Arg_1 {O(n)}
6: eval_speedSingleSingle2_0->eval_speedSingleSingle2_1, Arg_2: Arg_2 {O(n)}
6: eval_speedSingleSingle2_0->eval_speedSingleSingle2_1, Arg_3: Arg_1+Arg_2 {O(n)}
6: eval_speedSingleSingle2_0->eval_speedSingleSingle2_1, Arg_4: Arg_1+Arg_2 {O(n)}
7: eval_speedSingleSingle2_1->eval_speedSingleSingle2_bb2_in, Arg_1: Arg_1 {O(n)}
7: eval_speedSingleSingle2_1->eval_speedSingleSingle2_bb2_in, Arg_2: Arg_2 {O(n)}
7: eval_speedSingleSingle2_1->eval_speedSingleSingle2_bb2_in, Arg_3: Arg_1+Arg_2 {O(n)}
7: eval_speedSingleSingle2_1->eval_speedSingleSingle2_bb2_in, Arg_4: Arg_1+Arg_2 {O(n)}
8: eval_speedSingleSingle2_1->eval_speedSingleSingle2_bb6_in, Arg_1: Arg_1 {O(n)}
8: eval_speedSingleSingle2_1->eval_speedSingleSingle2_bb6_in, Arg_2: Arg_2 {O(n)}
8: eval_speedSingleSingle2_1->eval_speedSingleSingle2_bb6_in, Arg_3: Arg_1+Arg_2 {O(n)}
8: eval_speedSingleSingle2_1->eval_speedSingleSingle2_bb6_in, Arg_4: Arg_1+Arg_2 {O(n)}
1: eval_speedSingleSingle2_bb0_in->eval_speedSingleSingle2_bb6_in, Arg_0: Arg_0 {O(n)}
1: eval_speedSingleSingle2_bb0_in->eval_speedSingleSingle2_bb6_in, Arg_1: Arg_1 {O(n)}
1: eval_speedSingleSingle2_bb0_in->eval_speedSingleSingle2_bb6_in, Arg_2: Arg_2 {O(n)}
1: eval_speedSingleSingle2_bb0_in->eval_speedSingleSingle2_bb6_in, Arg_3: Arg_3 {O(n)}
1: eval_speedSingleSingle2_bb0_in->eval_speedSingleSingle2_bb6_in, Arg_4: Arg_4 {O(n)}
2: eval_speedSingleSingle2_bb0_in->eval_speedSingleSingle2_bb6_in, Arg_0: Arg_0 {O(n)}
2: eval_speedSingleSingle2_bb0_in->eval_speedSingleSingle2_bb6_in, Arg_1: Arg_1 {O(n)}
2: eval_speedSingleSingle2_bb0_in->eval_speedSingleSingle2_bb6_in, Arg_2: Arg_2 {O(n)}
2: eval_speedSingleSingle2_bb0_in->eval_speedSingleSingle2_bb6_in, Arg_3: Arg_3 {O(n)}
2: eval_speedSingleSingle2_bb0_in->eval_speedSingleSingle2_bb6_in, Arg_4: Arg_4 {O(n)}
3: eval_speedSingleSingle2_bb0_in->eval_speedSingleSingle2_bb1_in, Arg_0: Arg_0 {O(n)}
3: eval_speedSingleSingle2_bb0_in->eval_speedSingleSingle2_bb1_in, Arg_1: Arg_1 {O(n)}
3: eval_speedSingleSingle2_bb0_in->eval_speedSingleSingle2_bb1_in, Arg_2: Arg_2 {O(n)}
3: eval_speedSingleSingle2_bb0_in->eval_speedSingleSingle2_bb1_in, Arg_3: 0 {O(1)}
3: eval_speedSingleSingle2_bb0_in->eval_speedSingleSingle2_bb1_in, Arg_4: 0 {O(1)}
4: eval_speedSingleSingle2_bb1_in->eval_speedSingleSingle2_0, Arg_1: Arg_1 {O(n)}
4: eval_speedSingleSingle2_bb1_in->eval_speedSingleSingle2_0, Arg_2: Arg_2 {O(n)}
4: eval_speedSingleSingle2_bb1_in->eval_speedSingleSingle2_0, Arg_3: Arg_1+Arg_2 {O(n)}
4: eval_speedSingleSingle2_bb1_in->eval_speedSingleSingle2_0, Arg_4: Arg_1+Arg_2 {O(n)}
9: eval_speedSingleSingle2_bb2_in->eval_speedSingleSingle2_bb3_in, Arg_1: Arg_1 {O(n)}
9: eval_speedSingleSingle2_bb2_in->eval_speedSingleSingle2_bb3_in, Arg_2: Arg_2 {O(n)}
9: eval_speedSingleSingle2_bb2_in->eval_speedSingleSingle2_bb3_in, Arg_3: Arg_1+Arg_2 {O(n)}
9: eval_speedSingleSingle2_bb2_in->eval_speedSingleSingle2_bb3_in, Arg_4: Arg_1+Arg_2 {O(n)}
10: eval_speedSingleSingle2_bb2_in->eval_speedSingleSingle2_bb4_in, Arg_1: Arg_1 {O(n)}
10: eval_speedSingleSingle2_bb2_in->eval_speedSingleSingle2_bb4_in, Arg_2: Arg_2 {O(n)}
10: eval_speedSingleSingle2_bb2_in->eval_speedSingleSingle2_bb4_in, Arg_3: Arg_1+Arg_2 {O(n)}
10: eval_speedSingleSingle2_bb2_in->eval_speedSingleSingle2_bb4_in, Arg_4: Arg_1+Arg_2 {O(n)}
11: eval_speedSingleSingle2_bb3_in->eval_speedSingleSingle2_bb1_in, Arg_1: Arg_1 {O(n)}
11: eval_speedSingleSingle2_bb3_in->eval_speedSingleSingle2_bb1_in, Arg_2: Arg_2 {O(n)}
11: eval_speedSingleSingle2_bb3_in->eval_speedSingleSingle2_bb1_in, Arg_3: Arg_1+Arg_2 {O(n)}
11: eval_speedSingleSingle2_bb3_in->eval_speedSingleSingle2_bb1_in, Arg_4: Arg_1+Arg_2 {O(n)}
12: eval_speedSingleSingle2_bb4_in->eval_speedSingleSingle2_bb5_in, Arg_1: Arg_1 {O(n)}
12: eval_speedSingleSingle2_bb4_in->eval_speedSingleSingle2_bb5_in, Arg_2: Arg_2 {O(n)}
12: eval_speedSingleSingle2_bb4_in->eval_speedSingleSingle2_bb5_in, Arg_3: Arg_1+Arg_2 {O(n)}
12: eval_speedSingleSingle2_bb4_in->eval_speedSingleSingle2_bb5_in, Arg_4: Arg_1+Arg_2 {O(n)}
13: eval_speedSingleSingle2_bb4_in->eval_speedSingleSingle2_bb6_in, Arg_1: Arg_1 {O(n)}
13: eval_speedSingleSingle2_bb4_in->eval_speedSingleSingle2_bb6_in, Arg_2: Arg_2 {O(n)}
13: eval_speedSingleSingle2_bb4_in->eval_speedSingleSingle2_bb6_in, Arg_3: Arg_1+Arg_2 {O(n)}
13: eval_speedSingleSingle2_bb4_in->eval_speedSingleSingle2_bb6_in, Arg_4: Arg_1+Arg_2 {O(n)}
14: eval_speedSingleSingle2_bb5_in->eval_speedSingleSingle2_bb1_in, Arg_1: Arg_1 {O(n)}
14: eval_speedSingleSingle2_bb5_in->eval_speedSingleSingle2_bb1_in, Arg_2: Arg_2 {O(n)}
14: eval_speedSingleSingle2_bb5_in->eval_speedSingleSingle2_bb1_in, Arg_3: Arg_1+Arg_2 {O(n)}
14: eval_speedSingleSingle2_bb5_in->eval_speedSingleSingle2_bb1_in, Arg_4: Arg_1+Arg_2 {O(n)}
15: eval_speedSingleSingle2_bb6_in->eval_speedSingleSingle2_stop, Arg_1: 4*Arg_1 {O(n)}
15: eval_speedSingleSingle2_bb6_in->eval_speedSingleSingle2_stop, Arg_2: 4*Arg_2 {O(n)}
15: eval_speedSingleSingle2_bb6_in->eval_speedSingleSingle2_stop, Arg_3: 2*Arg_1+2*Arg_2+2*Arg_3 {O(n)}
15: eval_speedSingleSingle2_bb6_in->eval_speedSingleSingle2_stop, Arg_4: 2*Arg_1+2*Arg_2+2*Arg_4 {O(n)}
0: eval_speedSingleSingle2_start->eval_speedSingleSingle2_bb0_in, Arg_0: Arg_0 {O(n)}
0: eval_speedSingleSingle2_start->eval_speedSingleSingle2_bb0_in, Arg_1: Arg_1 {O(n)}
0: eval_speedSingleSingle2_start->eval_speedSingleSingle2_bb0_in, Arg_2: Arg_2 {O(n)}
0: eval_speedSingleSingle2_start->eval_speedSingleSingle2_bb0_in, Arg_3: Arg_3 {O(n)}
0: eval_speedSingleSingle2_start->eval_speedSingleSingle2_bb0_in, Arg_4: Arg_4 {O(n)}