Initial Problem

Start: eval_speedNestedMultipleDep_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4
Temp_Vars:
Locations: eval_speedNestedMultipleDep_bb0_in, eval_speedNestedMultipleDep_bb1_in, eval_speedNestedMultipleDep_bb2_in, eval_speedNestedMultipleDep_bb3_in, eval_speedNestedMultipleDep_bb4_in, eval_speedNestedMultipleDep_bb5_in, eval_speedNestedMultipleDep_start, eval_speedNestedMultipleDep_stop
Transitions:
1:eval_speedNestedMultipleDep_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedNestedMultipleDep_bb1_in(Arg_0,Arg_1,Arg_2,0,Arg_4)
2:eval_speedNestedMultipleDep_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedNestedMultipleDep_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_3<Arg_2
3:eval_speedNestedMultipleDep_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedNestedMultipleDep_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_2<=Arg_3
4:eval_speedNestedMultipleDep_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedNestedMultipleDep_bb3_in(Arg_3+1,Arg_1,Arg_2,Arg_3,0)
6:eval_speedNestedMultipleDep_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedNestedMultipleDep_bb1_in(Arg_0,Arg_1,Arg_2,Arg_0,Arg_4):|:Arg_1<=Arg_4
5:eval_speedNestedMultipleDep_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedNestedMultipleDep_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_4<Arg_1
7:eval_speedNestedMultipleDep_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedNestedMultipleDep_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4+1)
8:eval_speedNestedMultipleDep_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedNestedMultipleDep_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)
0:eval_speedNestedMultipleDep_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedNestedMultipleDep_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)

Preprocessing

Found invariant 0<=Arg_3 for location eval_speedNestedMultipleDep_bb1_in

Found invariant 1+Arg_3<=Arg_2 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_2 for location eval_speedNestedMultipleDep_bb2_in

Found invariant 0<=Arg_3 && Arg_2<=Arg_3 for location eval_speedNestedMultipleDep_bb5_in

Found invariant 0<=Arg_4 && 0<=Arg_3+Arg_4 && 1<=Arg_2+Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_0 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_0 for location eval_speedNestedMultipleDep_bb3_in

Found invariant 1+Arg_4<=Arg_1 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && 1<=Arg_2+Arg_4 && 1<=Arg_1+Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_0 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location eval_speedNestedMultipleDep_bb4_in

Found invariant 0<=Arg_3 && Arg_2<=Arg_3 for location eval_speedNestedMultipleDep_stop

Problem after Preprocessing

Start: eval_speedNestedMultipleDep_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4
Temp_Vars:
Locations: eval_speedNestedMultipleDep_bb0_in, eval_speedNestedMultipleDep_bb1_in, eval_speedNestedMultipleDep_bb2_in, eval_speedNestedMultipleDep_bb3_in, eval_speedNestedMultipleDep_bb4_in, eval_speedNestedMultipleDep_bb5_in, eval_speedNestedMultipleDep_start, eval_speedNestedMultipleDep_stop
Transitions:
1:eval_speedNestedMultipleDep_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedNestedMultipleDep_bb1_in(Arg_0,Arg_1,Arg_2,0,Arg_4)
2:eval_speedNestedMultipleDep_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedNestedMultipleDep_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:0<=Arg_3 && Arg_3<Arg_2
3:eval_speedNestedMultipleDep_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedNestedMultipleDep_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:0<=Arg_3 && Arg_2<=Arg_3
4:eval_speedNestedMultipleDep_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedNestedMultipleDep_bb3_in(Arg_3+1,Arg_1,Arg_2,Arg_3,0):|:1+Arg_3<=Arg_2 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_2
6:eval_speedNestedMultipleDep_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedNestedMultipleDep_bb1_in(Arg_0,Arg_1,Arg_2,Arg_0,Arg_4):|:0<=Arg_4 && 0<=Arg_3+Arg_4 && 1<=Arg_2+Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_0 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_0 && Arg_1<=Arg_4
5:eval_speedNestedMultipleDep_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedNestedMultipleDep_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:0<=Arg_4 && 0<=Arg_3+Arg_4 && 1<=Arg_2+Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_0 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_0 && Arg_4<Arg_1
7:eval_speedNestedMultipleDep_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedNestedMultipleDep_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4+1):|:1+Arg_4<=Arg_1 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && 1<=Arg_2+Arg_4 && 1<=Arg_1+Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_0 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0
8:eval_speedNestedMultipleDep_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedNestedMultipleDep_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:0<=Arg_3 && Arg_2<=Arg_3
0:eval_speedNestedMultipleDep_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedNestedMultipleDep_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)

MPRF for transition 2:eval_speedNestedMultipleDep_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedNestedMultipleDep_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:0<=Arg_3 && Arg_3<Arg_2 of depth 1:

new bound:

Arg_2 {O(n)}

MPRF:

eval_speedNestedMultipleDep_bb2_in [Arg_2-Arg_3-1 ]
eval_speedNestedMultipleDep_bb1_in [Arg_2-Arg_3 ]
eval_speedNestedMultipleDep_bb4_in [Arg_2-Arg_0 ]
eval_speedNestedMultipleDep_bb3_in [Arg_2-Arg_0 ]

MPRF for transition 4:eval_speedNestedMultipleDep_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedNestedMultipleDep_bb3_in(Arg_3+1,Arg_1,Arg_2,Arg_3,0):|:1+Arg_3<=Arg_2 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_2 of depth 1:

new bound:

Arg_2 {O(n)}

MPRF:

eval_speedNestedMultipleDep_bb2_in [Arg_2-Arg_3 ]
eval_speedNestedMultipleDep_bb1_in [Arg_2-Arg_3 ]
eval_speedNestedMultipleDep_bb4_in [Arg_2-Arg_3-1 ]
eval_speedNestedMultipleDep_bb3_in [Arg_2-Arg_3-1 ]

MPRF for transition 6:eval_speedNestedMultipleDep_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedNestedMultipleDep_bb1_in(Arg_0,Arg_1,Arg_2,Arg_0,Arg_4):|:0<=Arg_4 && 0<=Arg_3+Arg_4 && 1<=Arg_2+Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_0 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_0 && Arg_1<=Arg_4 of depth 1:

new bound:

Arg_2 {O(n)}

MPRF:

eval_speedNestedMultipleDep_bb2_in [Arg_2-Arg_3 ]
eval_speedNestedMultipleDep_bb1_in [Arg_2-Arg_3 ]
eval_speedNestedMultipleDep_bb4_in [Arg_2-Arg_3 ]
eval_speedNestedMultipleDep_bb3_in [Arg_2-Arg_3 ]

MPRF for transition 5:eval_speedNestedMultipleDep_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedNestedMultipleDep_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:0<=Arg_4 && 0<=Arg_3+Arg_4 && 1<=Arg_2+Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_0 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_0 && Arg_4<Arg_1 of depth 1:

new bound:

Arg_1*Arg_2+Arg_1 {O(n^2)}

MPRF:

eval_speedNestedMultipleDep_bb1_in [Arg_1 ]
eval_speedNestedMultipleDep_bb2_in [Arg_1 ]
eval_speedNestedMultipleDep_bb4_in [Arg_1-Arg_4-1 ]
eval_speedNestedMultipleDep_bb3_in [Arg_1-Arg_4 ]

MPRF for transition 7:eval_speedNestedMultipleDep_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedNestedMultipleDep_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4+1):|:1+Arg_4<=Arg_1 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && 1<=Arg_2+Arg_4 && 1<=Arg_1+Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_0 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 of depth 1:

new bound:

Arg_1*Arg_2+Arg_1 {O(n^2)}

MPRF:

eval_speedNestedMultipleDep_bb1_in [Arg_1 ]
eval_speedNestedMultipleDep_bb2_in [Arg_1 ]
eval_speedNestedMultipleDep_bb4_in [Arg_1-Arg_4 ]
eval_speedNestedMultipleDep_bb3_in [Arg_1-Arg_4 ]

Analysing control-flow refined program

Found invariant 0<=Arg_3 for location eval_speedNestedMultipleDep_bb1_in

Found invariant 1+Arg_3<=Arg_2 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_2 for location eval_speedNestedMultipleDep_bb2_in

Found invariant Arg_4<=Arg_1 && 1<=Arg_4 && 1<=Arg_3+Arg_4 && 2<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && 1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_0 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location n_eval_speedNestedMultipleDep_bb3_in___2

Found invariant 0<=Arg_3 && Arg_2<=Arg_3 for location eval_speedNestedMultipleDep_bb5_in

Found invariant Arg_4<=0 && Arg_4<=Arg_3 && 1+Arg_4<=Arg_2 && 1+Arg_4<=Arg_0 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && 1<=Arg_2+Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_0 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_0 for location eval_speedNestedMultipleDep_bb3_in

Found invariant Arg_4<=0 && Arg_4<=Arg_3 && 1+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1+Arg_4<=Arg_0 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && 1<=Arg_2+Arg_4 && 1<=Arg_1+Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_0 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location n_eval_speedNestedMultipleDep_bb4_in___3

Found invariant 0<=Arg_3 && Arg_2<=Arg_3 for location eval_speedNestedMultipleDep_stop

Found invariant 1+Arg_4<=Arg_1 && 1<=Arg_4 && 1<=Arg_3+Arg_4 && 2<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && 1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_0 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1<=Arg_0 for location n_eval_speedNestedMultipleDep_bb4_in___1

knowledge_propagation leads to new time bound Arg_2 {O(n)} for transition 60:eval_speedNestedMultipleDep_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_speedNestedMultipleDep_bb4_in___3(Arg_0,Arg_1,Arg_2,Arg_0-1,Arg_4):|:Arg_4<=0 && Arg_4<=Arg_3 && 1+Arg_4<=Arg_2 && 1+Arg_4<=Arg_0 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && 1<=Arg_2+Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_0 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_0 && Arg_0<=Arg_2 && 0<=Arg_4 && 1<=Arg_0 && Arg_0<=Arg_3+1 && 1+Arg_3<=Arg_0 && Arg_4<=0 && 0<=Arg_4 && Arg_0<=1+Arg_3 && 1+Arg_3<=Arg_0 && 0<=Arg_3 && 1+Arg_3<=Arg_2 && Arg_4<Arg_1 && 1<=Arg_0 && 0<=Arg_4 && Arg_0<=Arg_2 && Arg_0<=Arg_3+1 && 1+Arg_3<=Arg_0

knowledge_propagation leads to new time bound Arg_2 {O(n)} for transition 62:n_eval_speedNestedMultipleDep_bb4_in___3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_speedNestedMultipleDep_bb3_in___2(Arg_0,Arg_1,Arg_2,Arg_0-1,Arg_4+1):|:Arg_4<=0 && Arg_4<=Arg_3 && 1+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1+Arg_4<=Arg_0 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && 1<=Arg_2+Arg_4 && 1<=Arg_1+Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_0 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && 1+Arg_3<=Arg_2 && 0<Arg_1 && 0<=Arg_3 && Arg_0<=Arg_3+1 && 1+Arg_3<=Arg_0 && Arg_4<=0 && 0<=Arg_4 && 1+Arg_4<=Arg_1 && 1<=Arg_0 && 0<=Arg_4 && Arg_0<=Arg_2 && Arg_0<=Arg_3+1 && 1+Arg_3<=Arg_0

MPRF for transition 59:n_eval_speedNestedMultipleDep_bb3_in___2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_speedNestedMultipleDep_bb4_in___1(Arg_0,Arg_1,Arg_2,Arg_0-1,Arg_4):|:Arg_4<=Arg_1 && 1<=Arg_4 && 1<=Arg_3+Arg_4 && 2<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && 1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_0 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_0<=Arg_2 && 0<=Arg_4 && 1<=Arg_0 && Arg_0<=Arg_3+1 && 1+Arg_3<=Arg_0 && Arg_0<=1+Arg_3 && 1+Arg_3<=Arg_0 && 1<=Arg_0 && 1<=Arg_4 && Arg_4<=Arg_1 && Arg_0<=Arg_2 && Arg_4<Arg_1 && 1<=Arg_0 && 0<=Arg_4 && Arg_0<=Arg_2 && Arg_0<=Arg_3+1 && 1+Arg_3<=Arg_0 of depth 1:

new bound:

Arg_1*Arg_2+2*Arg_2 {O(n^2)}

MPRF:

eval_speedNestedMultipleDep_bb2_in [0 ]
eval_speedNestedMultipleDep_bb3_in [0 ]
n_eval_speedNestedMultipleDep_bb4_in___3 [0 ]
eval_speedNestedMultipleDep_bb1_in [0 ]
n_eval_speedNestedMultipleDep_bb4_in___1 [Arg_1-Arg_4 ]
n_eval_speedNestedMultipleDep_bb3_in___2 [Arg_1+1-Arg_4 ]

MPRF for transition 67:n_eval_speedNestedMultipleDep_bb3_in___2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_speedNestedMultipleDep_bb1_in(Arg_0,Arg_1,Arg_2,Arg_0,Arg_4):|:Arg_4<=Arg_1 && 1<=Arg_4 && 1<=Arg_3+Arg_4 && 2<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && 1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_0 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && 0<=Arg_4 && 0<=Arg_3+Arg_4 && 1<=Arg_2+Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_0 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_0 && Arg_1<=Arg_4 of depth 1:

new bound:

Arg_2 {O(n)}

MPRF:

eval_speedNestedMultipleDep_bb2_in [Arg_2-Arg_3 ]
eval_speedNestedMultipleDep_bb3_in [Arg_2-Arg_3 ]
eval_speedNestedMultipleDep_bb1_in [Arg_2-Arg_3 ]
n_eval_speedNestedMultipleDep_bb4_in___1 [Arg_0+Arg_2-2*Arg_3-1 ]
n_eval_speedNestedMultipleDep_bb4_in___3 [Arg_2-Arg_3 ]
n_eval_speedNestedMultipleDep_bb3_in___2 [Arg_2-Arg_3 ]

MPRF for transition 61:n_eval_speedNestedMultipleDep_bb4_in___1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_speedNestedMultipleDep_bb3_in___2(Arg_0,Arg_1,Arg_2,Arg_0-1,Arg_4+1):|:1+Arg_4<=Arg_1 && 1<=Arg_4 && 1<=Arg_3+Arg_4 && 2<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 2<=Arg_0+Arg_4 && 1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_0 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && Arg_0<=1+Arg_3 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_0<=Arg_2 && Arg_4<Arg_1 && 1<=Arg_4 && 1<=Arg_0 && Arg_0<=Arg_3+1 && 1+Arg_3<=Arg_0 && 1+Arg_4<=Arg_1 && 1<=Arg_0 && 0<=Arg_4 && Arg_0<=Arg_2 && Arg_0<=Arg_3+1 && 1+Arg_3<=Arg_0 of depth 1:

new bound:

2*Arg_1*Arg_2+3*Arg_2+Arg_1 {O(n^2)}

MPRF:

eval_speedNestedMultipleDep_bb2_in [Arg_1-2*Arg_3 ]
eval_speedNestedMultipleDep_bb3_in [Arg_1-2*Arg_3 ]
n_eval_speedNestedMultipleDep_bb4_in___3 [Arg_1-2*Arg_0 ]
eval_speedNestedMultipleDep_bb1_in [Arg_1-2*Arg_3 ]
n_eval_speedNestedMultipleDep_bb4_in___1 [2*Arg_1-Arg_4-2 ]
n_eval_speedNestedMultipleDep_bb3_in___2 [2*Arg_1-Arg_4-2 ]

CFR did not improve the program. Rolling back

All Bounds

Timebounds

Overall timebound:2*Arg_1*Arg_2+2*Arg_1+3*Arg_2+4 {O(n^2)}
1: eval_speedNestedMultipleDep_bb0_in->eval_speedNestedMultipleDep_bb1_in: 1 {O(1)}
2: eval_speedNestedMultipleDep_bb1_in->eval_speedNestedMultipleDep_bb2_in: Arg_2 {O(n)}
3: eval_speedNestedMultipleDep_bb1_in->eval_speedNestedMultipleDep_bb5_in: 1 {O(1)}
4: eval_speedNestedMultipleDep_bb2_in->eval_speedNestedMultipleDep_bb3_in: Arg_2 {O(n)}
5: eval_speedNestedMultipleDep_bb3_in->eval_speedNestedMultipleDep_bb4_in: Arg_1*Arg_2+Arg_1 {O(n^2)}
6: eval_speedNestedMultipleDep_bb3_in->eval_speedNestedMultipleDep_bb1_in: Arg_2 {O(n)}
7: eval_speedNestedMultipleDep_bb4_in->eval_speedNestedMultipleDep_bb3_in: Arg_1*Arg_2+Arg_1 {O(n^2)}
8: eval_speedNestedMultipleDep_bb5_in->eval_speedNestedMultipleDep_stop: 1 {O(1)}
0: eval_speedNestedMultipleDep_start->eval_speedNestedMultipleDep_bb0_in: 1 {O(1)}

Costbounds

Overall costbound: 2*Arg_1*Arg_2+2*Arg_1+3*Arg_2+4 {O(n^2)}
1: eval_speedNestedMultipleDep_bb0_in->eval_speedNestedMultipleDep_bb1_in: 1 {O(1)}
2: eval_speedNestedMultipleDep_bb1_in->eval_speedNestedMultipleDep_bb2_in: Arg_2 {O(n)}
3: eval_speedNestedMultipleDep_bb1_in->eval_speedNestedMultipleDep_bb5_in: 1 {O(1)}
4: eval_speedNestedMultipleDep_bb2_in->eval_speedNestedMultipleDep_bb3_in: Arg_2 {O(n)}
5: eval_speedNestedMultipleDep_bb3_in->eval_speedNestedMultipleDep_bb4_in: Arg_1*Arg_2+Arg_1 {O(n^2)}
6: eval_speedNestedMultipleDep_bb3_in->eval_speedNestedMultipleDep_bb1_in: Arg_2 {O(n)}
7: eval_speedNestedMultipleDep_bb4_in->eval_speedNestedMultipleDep_bb3_in: Arg_1*Arg_2+Arg_1 {O(n^2)}
8: eval_speedNestedMultipleDep_bb5_in->eval_speedNestedMultipleDep_stop: 1 {O(1)}
0: eval_speedNestedMultipleDep_start->eval_speedNestedMultipleDep_bb0_in: 1 {O(1)}

Sizebounds

1: eval_speedNestedMultipleDep_bb0_in->eval_speedNestedMultipleDep_bb1_in, Arg_0: Arg_0 {O(n)}
1: eval_speedNestedMultipleDep_bb0_in->eval_speedNestedMultipleDep_bb1_in, Arg_1: Arg_1 {O(n)}
1: eval_speedNestedMultipleDep_bb0_in->eval_speedNestedMultipleDep_bb1_in, Arg_2: Arg_2 {O(n)}
1: eval_speedNestedMultipleDep_bb0_in->eval_speedNestedMultipleDep_bb1_in, Arg_3: 0 {O(1)}
1: eval_speedNestedMultipleDep_bb0_in->eval_speedNestedMultipleDep_bb1_in, Arg_4: Arg_4 {O(n)}
2: eval_speedNestedMultipleDep_bb1_in->eval_speedNestedMultipleDep_bb2_in, Arg_0: 2*Arg_2+Arg_0 {O(n)}
2: eval_speedNestedMultipleDep_bb1_in->eval_speedNestedMultipleDep_bb2_in, Arg_1: Arg_1 {O(n)}
2: eval_speedNestedMultipleDep_bb1_in->eval_speedNestedMultipleDep_bb2_in, Arg_2: Arg_2 {O(n)}
2: eval_speedNestedMultipleDep_bb1_in->eval_speedNestedMultipleDep_bb2_in, Arg_3: Arg_2 {O(n)}
2: eval_speedNestedMultipleDep_bb1_in->eval_speedNestedMultipleDep_bb2_in, Arg_4: Arg_1*Arg_2+Arg_1+Arg_4 {O(n^2)}
3: eval_speedNestedMultipleDep_bb1_in->eval_speedNestedMultipleDep_bb5_in, Arg_0: 2*Arg_2+Arg_0 {O(n)}
3: eval_speedNestedMultipleDep_bb1_in->eval_speedNestedMultipleDep_bb5_in, Arg_1: 2*Arg_1 {O(n)}
3: eval_speedNestedMultipleDep_bb1_in->eval_speedNestedMultipleDep_bb5_in, Arg_2: 2*Arg_2 {O(n)}
3: eval_speedNestedMultipleDep_bb1_in->eval_speedNestedMultipleDep_bb5_in, Arg_3: Arg_2 {O(n)}
3: eval_speedNestedMultipleDep_bb1_in->eval_speedNestedMultipleDep_bb5_in, Arg_4: Arg_1*Arg_2+Arg_1+Arg_4 {O(n^2)}
4: eval_speedNestedMultipleDep_bb2_in->eval_speedNestedMultipleDep_bb3_in, Arg_0: Arg_2 {O(n)}
4: eval_speedNestedMultipleDep_bb2_in->eval_speedNestedMultipleDep_bb3_in, Arg_1: Arg_1 {O(n)}
4: eval_speedNestedMultipleDep_bb2_in->eval_speedNestedMultipleDep_bb3_in, Arg_2: Arg_2 {O(n)}
4: eval_speedNestedMultipleDep_bb2_in->eval_speedNestedMultipleDep_bb3_in, Arg_3: Arg_2 {O(n)}
4: eval_speedNestedMultipleDep_bb2_in->eval_speedNestedMultipleDep_bb3_in, Arg_4: 0 {O(1)}
5: eval_speedNestedMultipleDep_bb3_in->eval_speedNestedMultipleDep_bb4_in, Arg_0: Arg_2 {O(n)}
5: eval_speedNestedMultipleDep_bb3_in->eval_speedNestedMultipleDep_bb4_in, Arg_1: Arg_1 {O(n)}
5: eval_speedNestedMultipleDep_bb3_in->eval_speedNestedMultipleDep_bb4_in, Arg_2: Arg_2 {O(n)}
5: eval_speedNestedMultipleDep_bb3_in->eval_speedNestedMultipleDep_bb4_in, Arg_3: Arg_2 {O(n)}
5: eval_speedNestedMultipleDep_bb3_in->eval_speedNestedMultipleDep_bb4_in, Arg_4: Arg_1*Arg_2+Arg_1 {O(n^2)}
6: eval_speedNestedMultipleDep_bb3_in->eval_speedNestedMultipleDep_bb1_in, Arg_0: 2*Arg_2 {O(n)}
6: eval_speedNestedMultipleDep_bb3_in->eval_speedNestedMultipleDep_bb1_in, Arg_1: Arg_1 {O(n)}
6: eval_speedNestedMultipleDep_bb3_in->eval_speedNestedMultipleDep_bb1_in, Arg_2: Arg_2 {O(n)}
6: eval_speedNestedMultipleDep_bb3_in->eval_speedNestedMultipleDep_bb1_in, Arg_3: Arg_2 {O(n)}
6: eval_speedNestedMultipleDep_bb3_in->eval_speedNestedMultipleDep_bb1_in, Arg_4: Arg_1*Arg_2+Arg_1 {O(n^2)}
7: eval_speedNestedMultipleDep_bb4_in->eval_speedNestedMultipleDep_bb3_in, Arg_0: Arg_2 {O(n)}
7: eval_speedNestedMultipleDep_bb4_in->eval_speedNestedMultipleDep_bb3_in, Arg_1: Arg_1 {O(n)}
7: eval_speedNestedMultipleDep_bb4_in->eval_speedNestedMultipleDep_bb3_in, Arg_2: Arg_2 {O(n)}
7: eval_speedNestedMultipleDep_bb4_in->eval_speedNestedMultipleDep_bb3_in, Arg_3: Arg_2 {O(n)}
7: eval_speedNestedMultipleDep_bb4_in->eval_speedNestedMultipleDep_bb3_in, Arg_4: Arg_1*Arg_2+Arg_1 {O(n^2)}
8: eval_speedNestedMultipleDep_bb5_in->eval_speedNestedMultipleDep_stop, Arg_0: 2*Arg_2+Arg_0 {O(n)}
8: eval_speedNestedMultipleDep_bb5_in->eval_speedNestedMultipleDep_stop, Arg_1: 2*Arg_1 {O(n)}
8: eval_speedNestedMultipleDep_bb5_in->eval_speedNestedMultipleDep_stop, Arg_2: 2*Arg_2 {O(n)}
8: eval_speedNestedMultipleDep_bb5_in->eval_speedNestedMultipleDep_stop, Arg_3: Arg_2 {O(n)}
8: eval_speedNestedMultipleDep_bb5_in->eval_speedNestedMultipleDep_stop, Arg_4: Arg_1*Arg_2+Arg_1+Arg_4 {O(n^2)}
0: eval_speedNestedMultipleDep_start->eval_speedNestedMultipleDep_bb0_in, Arg_0: Arg_0 {O(n)}
0: eval_speedNestedMultipleDep_start->eval_speedNestedMultipleDep_bb0_in, Arg_1: Arg_1 {O(n)}
0: eval_speedNestedMultipleDep_start->eval_speedNestedMultipleDep_bb0_in, Arg_2: Arg_2 {O(n)}
0: eval_speedNestedMultipleDep_start->eval_speedNestedMultipleDep_bb0_in, Arg_3: Arg_3 {O(n)}
0: eval_speedNestedMultipleDep_start->eval_speedNestedMultipleDep_bb0_in, Arg_4: Arg_4 {O(n)}