Initial Problem

Start: eval_local_alloc_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5
Temp_Vars:
Locations: eval_local_alloc_bb0_in, eval_local_alloc_bb1_in, eval_local_alloc_bb2_in, eval_local_alloc_bb3_in, eval_local_alloc_bb4_in, eval_local_alloc_bb5_in, eval_local_alloc_bb6_in, eval_local_alloc_start, eval_local_alloc_stop
Transitions:
1:eval_local_alloc_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_local_alloc_bb1_in(0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_3)
2:eval_local_alloc_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_local_alloc_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_0<Arg_4
3:eval_local_alloc_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_local_alloc_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_4<=Arg_0
4:eval_local_alloc_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_local_alloc_bb3_in(Arg_0,0,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_5<Arg_2
5:eval_local_alloc_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_local_alloc_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_2<=Arg_5
6:eval_local_alloc_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_local_alloc_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_1<Arg_5
7:eval_local_alloc_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_local_alloc_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_5<=Arg_1
8:eval_local_alloc_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_local_alloc_bb3_in(Arg_0,Arg_1+1,Arg_2,Arg_3,Arg_4,Arg_5)
9:eval_local_alloc_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_local_alloc_bb1_in(Arg_0+1,Arg_1,Arg_2,Arg_3,Arg_4,0)
10:eval_local_alloc_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_local_alloc_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5)
0:eval_local_alloc_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_local_alloc_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5)

Preprocessing

Found invariant 1+Arg_5<=Arg_2 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && 3<=Arg_2+Arg_5 && 1<=Arg_1+Arg_5 && 1+Arg_1<=Arg_5 && 1<=Arg_0+Arg_5 && 1<=Arg_4 && 3<=Arg_2+Arg_4 && 1<=Arg_1+Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && 2<=Arg_2 && 2<=Arg_1+Arg_2 && 2+Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 for location eval_local_alloc_bb4_in

Found invariant 1<=Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && 0<=Arg_0 for location eval_local_alloc_bb2_in

Found invariant Arg_4<=Arg_0 && 0<=Arg_0 for location eval_local_alloc_bb6_in

Found invariant 0<=Arg_0 for location eval_local_alloc_bb1_in

Found invariant 1+Arg_5<=Arg_2 && 1<=Arg_4 && 1<=Arg_1+Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 for location eval_local_alloc_bb3_in

Found invariant 1<=Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && 0<=Arg_0 for location eval_local_alloc_bb5_in

Found invariant Arg_4<=Arg_0 && 0<=Arg_0 for location eval_local_alloc_stop

Problem after Preprocessing

Start: eval_local_alloc_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5
Temp_Vars:
Locations: eval_local_alloc_bb0_in, eval_local_alloc_bb1_in, eval_local_alloc_bb2_in, eval_local_alloc_bb3_in, eval_local_alloc_bb4_in, eval_local_alloc_bb5_in, eval_local_alloc_bb6_in, eval_local_alloc_start, eval_local_alloc_stop
Transitions:
1:eval_local_alloc_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_local_alloc_bb1_in(0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_3)
2:eval_local_alloc_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_local_alloc_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:0<=Arg_0 && Arg_0<Arg_4
3:eval_local_alloc_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_local_alloc_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:0<=Arg_0 && Arg_4<=Arg_0
4:eval_local_alloc_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_local_alloc_bb3_in(Arg_0,0,Arg_2,Arg_3,Arg_4,Arg_5):|:1<=Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && 0<=Arg_0 && Arg_5<Arg_2
5:eval_local_alloc_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_local_alloc_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:1<=Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && 0<=Arg_0 && Arg_2<=Arg_5
6:eval_local_alloc_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_local_alloc_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:1+Arg_5<=Arg_2 && 1<=Arg_4 && 1<=Arg_1+Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_1<Arg_5
7:eval_local_alloc_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_local_alloc_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:1+Arg_5<=Arg_2 && 1<=Arg_4 && 1<=Arg_1+Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_5<=Arg_1
8:eval_local_alloc_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_local_alloc_bb3_in(Arg_0,Arg_1+1,Arg_2,Arg_3,Arg_4,Arg_5):|:1+Arg_5<=Arg_2 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && 3<=Arg_2+Arg_5 && 1<=Arg_1+Arg_5 && 1+Arg_1<=Arg_5 && 1<=Arg_0+Arg_5 && 1<=Arg_4 && 3<=Arg_2+Arg_4 && 1<=Arg_1+Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && 2<=Arg_2 && 2<=Arg_1+Arg_2 && 2+Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0
9:eval_local_alloc_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_local_alloc_bb1_in(Arg_0+1,Arg_1,Arg_2,Arg_3,Arg_4,0):|:1<=Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && 0<=Arg_0
10:eval_local_alloc_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_local_alloc_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_4<=Arg_0 && 0<=Arg_0
0:eval_local_alloc_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_local_alloc_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5)

MPRF for transition 2:eval_local_alloc_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_local_alloc_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:0<=Arg_0 && Arg_0<Arg_4 of depth 1:

new bound:

Arg_4+1 {O(n)}

MPRF:

eval_local_alloc_bb2_in [Arg_4-Arg_0 ]
eval_local_alloc_bb4_in [Arg_4-Arg_0 ]
eval_local_alloc_bb3_in [Arg_4-Arg_0 ]
eval_local_alloc_bb5_in [Arg_4-Arg_0 ]
eval_local_alloc_bb1_in [Arg_4+1-Arg_0 ]

MPRF for transition 4:eval_local_alloc_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_local_alloc_bb3_in(Arg_0,0,Arg_2,Arg_3,Arg_4,Arg_5):|:1<=Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && 0<=Arg_0 && Arg_5<Arg_2 of depth 1:

new bound:

Arg_4 {O(n)}

MPRF:

eval_local_alloc_bb2_in [Arg_4-Arg_0 ]
eval_local_alloc_bb4_in [Arg_4-Arg_0-1 ]
eval_local_alloc_bb3_in [Arg_4-Arg_0-1 ]
eval_local_alloc_bb5_in [Arg_4-Arg_0-1 ]
eval_local_alloc_bb1_in [Arg_4-Arg_0 ]

MPRF for transition 5:eval_local_alloc_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_local_alloc_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:1<=Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && 0<=Arg_0 && Arg_2<=Arg_5 of depth 1:

new bound:

Arg_4 {O(n)}

MPRF:

eval_local_alloc_bb2_in [Arg_4-Arg_0 ]
eval_local_alloc_bb4_in [Arg_4-Arg_0 ]
eval_local_alloc_bb3_in [Arg_4-Arg_0 ]
eval_local_alloc_bb5_in [Arg_4-Arg_0-1 ]
eval_local_alloc_bb1_in [Arg_4-Arg_0 ]

MPRF for transition 7:eval_local_alloc_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_local_alloc_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:1+Arg_5<=Arg_2 && 1<=Arg_4 && 1<=Arg_1+Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_5<=Arg_1 of depth 1:

new bound:

Arg_4 {O(n)}

MPRF:

eval_local_alloc_bb2_in [Arg_4-Arg_0 ]
eval_local_alloc_bb4_in [Arg_4-Arg_0 ]
eval_local_alloc_bb3_in [Arg_4-Arg_0 ]
eval_local_alloc_bb5_in [Arg_4-Arg_0-1 ]
eval_local_alloc_bb1_in [Arg_4-Arg_0 ]

MPRF for transition 9:eval_local_alloc_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_local_alloc_bb1_in(Arg_0+1,Arg_1,Arg_2,Arg_3,Arg_4,0):|:1<=Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && 0<=Arg_0 of depth 1:

new bound:

Arg_4 {O(n)}

MPRF:

eval_local_alloc_bb2_in [Arg_4-Arg_0 ]
eval_local_alloc_bb4_in [Arg_4-Arg_0 ]
eval_local_alloc_bb3_in [Arg_4-Arg_0 ]
eval_local_alloc_bb5_in [Arg_4-Arg_0 ]
eval_local_alloc_bb1_in [Arg_4-Arg_0 ]

MPRF for transition 6:eval_local_alloc_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_local_alloc_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:1+Arg_5<=Arg_2 && 1<=Arg_4 && 1<=Arg_1+Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_1<Arg_5 of depth 1:

new bound:

Arg_2*Arg_4+Arg_2 {O(n^2)}

MPRF:

eval_local_alloc_bb2_in [Arg_2 ]
eval_local_alloc_bb4_in [Arg_2-Arg_1-2 ]
eval_local_alloc_bb3_in [Arg_2-Arg_1-1 ]
eval_local_alloc_bb5_in [Arg_2 ]
eval_local_alloc_bb1_in [Arg_2 ]

MPRF for transition 8:eval_local_alloc_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_local_alloc_bb3_in(Arg_0,Arg_1+1,Arg_2,Arg_3,Arg_4,Arg_5):|:1+Arg_5<=Arg_2 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && 3<=Arg_2+Arg_5 && 1<=Arg_1+Arg_5 && 1+Arg_1<=Arg_5 && 1<=Arg_0+Arg_5 && 1<=Arg_4 && 3<=Arg_2+Arg_4 && 1<=Arg_1+Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && 2<=Arg_2 && 2<=Arg_1+Arg_2 && 2+Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 of depth 1:

new bound:

Arg_2*Arg_4+Arg_2 {O(n^2)}

MPRF:

eval_local_alloc_bb2_in [Arg_2 ]
eval_local_alloc_bb4_in [Arg_2-Arg_1-1 ]
eval_local_alloc_bb3_in [Arg_2-Arg_1-1 ]
eval_local_alloc_bb5_in [Arg_2 ]
eval_local_alloc_bb1_in [Arg_2 ]

Analysing control-flow refined program

Found invariant 1+Arg_5<=Arg_2 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && 3<=Arg_2+Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 1<=Arg_0+Arg_5 && 1<=Arg_4 && 3<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && 2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 for location n_eval_local_alloc_bb3_in___2

Found invariant 1+Arg_5<=Arg_2 && 2<=Arg_5 && 3<=Arg_4+Arg_5 && 5<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 1+Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && 3<=Arg_2 && 4<=Arg_1+Arg_2 && 2+Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 for location n_eval_local_alloc_bb4_in___1

Found invariant 1<=Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && 0<=Arg_0 for location eval_local_alloc_bb2_in

Found invariant Arg_4<=Arg_0 && 0<=Arg_0 for location eval_local_alloc_bb6_in

Found invariant 1+Arg_5<=Arg_2 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && 3<=Arg_2+Arg_5 && 1<=Arg_1+Arg_5 && 1+Arg_1<=Arg_5 && 1<=Arg_0+Arg_5 && 1<=Arg_4 && 3<=Arg_2+Arg_4 && 1<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && 2<=Arg_2 && 2<=Arg_1+Arg_2 && 2+Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_1<=0 && Arg_1<=Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 for location n_eval_local_alloc_bb4_in___3

Found invariant 0<=Arg_0 for location eval_local_alloc_bb1_in

Found invariant 1+Arg_5<=Arg_2 && 1<=Arg_4 && 1<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && Arg_1<=0 && Arg_1<=Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 for location eval_local_alloc_bb3_in

Found invariant 1<=Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && 0<=Arg_0 for location eval_local_alloc_bb5_in

Found invariant Arg_4<=Arg_0 && 0<=Arg_0 for location eval_local_alloc_stop

knowledge_propagation leads to new time bound Arg_4 {O(n)} for transition 73:eval_local_alloc_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> n_eval_local_alloc_bb4_in___3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:1+Arg_5<=Arg_2 && 1<=Arg_4 && 1<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && Arg_1<=0 && Arg_1<=Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && 1+Arg_0<=Arg_4 && 0<=Arg_1 && 0<=Arg_0 && 0<=Arg_1 && 1+Arg_5<=Arg_2 && 0<=Arg_0 && Arg_1<Arg_5 && 1+Arg_0<=Arg_4

knowledge_propagation leads to new time bound Arg_4 {O(n)} for transition 75:n_eval_local_alloc_bb4_in___3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> n_eval_local_alloc_bb3_in___2(Arg_0,Arg_1+1,Arg_2,Arg_3,Arg_4,Arg_5):|:1+Arg_5<=Arg_2 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && 3<=Arg_2+Arg_5 && 1<=Arg_1+Arg_5 && 1+Arg_1<=Arg_5 && 1<=Arg_0+Arg_5 && 1<=Arg_4 && 3<=Arg_2+Arg_4 && 1<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && 2<=Arg_2 && 2<=Arg_1+Arg_2 && 2+Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_1<=0 && Arg_1<=Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && 1+Arg_0<=Arg_4 && 1+Arg_5<=Arg_2 && Arg_1<Arg_5 && 0<=Arg_1 && 0<=Arg_0 && 1+Arg_5<=Arg_2 && 0<=Arg_1 && 0<=Arg_0 && 1+Arg_1<=Arg_5 && 1+Arg_0<=Arg_4

MPRF for transition 72:n_eval_local_alloc_bb3_in___2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> n_eval_local_alloc_bb4_in___1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:1+Arg_5<=Arg_2 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && 3<=Arg_2+Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 1<=Arg_0+Arg_5 && 1<=Arg_4 && 3<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && 2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && 1+Arg_0<=Arg_4 && 1+Arg_5<=Arg_2 && 0<=Arg_1 && 0<=Arg_0 && 0<=Arg_0 && 1<=Arg_1 && Arg_1<=Arg_5 && 1+Arg_5<=Arg_2 && 1+Arg_0<=Arg_4 && 0<=Arg_1 && 1+Arg_5<=Arg_2 && 0<=Arg_0 && Arg_1<Arg_5 && 1+Arg_0<=Arg_4 of depth 1:

new bound:

Arg_3*Arg_4+2*Arg_4 {O(n^2)}

MPRF:

eval_local_alloc_bb2_in [0 ]
eval_local_alloc_bb3_in [0 ]
n_eval_local_alloc_bb4_in___3 [0 ]
eval_local_alloc_bb1_in [0 ]
eval_local_alloc_bb5_in [0 ]
n_eval_local_alloc_bb4_in___1 [Arg_5-Arg_1 ]
n_eval_local_alloc_bb3_in___2 [Arg_5+1-Arg_1 ]

MPRF for transition 80:n_eval_local_alloc_bb3_in___2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_local_alloc_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:1+Arg_5<=Arg_2 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && 3<=Arg_2+Arg_5 && 2<=Arg_1+Arg_5 && Arg_1<=Arg_5 && 1<=Arg_0+Arg_5 && 1<=Arg_4 && 3<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && 2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && 1+Arg_5<=Arg_2 && 1<=Arg_4 && 1<=Arg_1+Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_5<=Arg_1 of depth 1:

new bound:

Arg_4 {O(n)}

MPRF:

eval_local_alloc_bb2_in [Arg_4-Arg_0 ]
eval_local_alloc_bb3_in [Arg_4-Arg_0 ]
eval_local_alloc_bb1_in [Arg_4-Arg_0 ]
eval_local_alloc_bb5_in [Arg_4-Arg_0-1 ]
n_eval_local_alloc_bb4_in___1 [Arg_4-Arg_0 ]
n_eval_local_alloc_bb4_in___3 [Arg_4-Arg_0 ]
n_eval_local_alloc_bb3_in___2 [Arg_4-Arg_0 ]

MPRF for transition 74:n_eval_local_alloc_bb4_in___1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> n_eval_local_alloc_bb3_in___2(Arg_0,Arg_1+1,Arg_2,Arg_3,Arg_4,Arg_5):|:1+Arg_5<=Arg_2 && 2<=Arg_5 && 3<=Arg_4+Arg_5 && 5<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 1+Arg_1<=Arg_5 && 2<=Arg_0+Arg_5 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && 3<=Arg_2 && 4<=Arg_1+Arg_2 && 2+Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && 1+Arg_0<=Arg_4 && 1+Arg_5<=Arg_2 && Arg_1<Arg_5 && 1<=Arg_1 && 0<=Arg_0 && 1+Arg_5<=Arg_2 && 0<=Arg_1 && 0<=Arg_0 && 1+Arg_1<=Arg_5 && 1+Arg_0<=Arg_4 of depth 1:

new bound:

Arg_3*Arg_4+Arg_4 {O(n^2)}

MPRF:

eval_local_alloc_bb2_in [0 ]
eval_local_alloc_bb3_in [0 ]
n_eval_local_alloc_bb4_in___3 [0 ]
eval_local_alloc_bb1_in [0 ]
eval_local_alloc_bb5_in [0 ]
n_eval_local_alloc_bb4_in___1 [Arg_5-Arg_1 ]
n_eval_local_alloc_bb3_in___2 [Arg_5-Arg_1 ]

CFR did not improve the program. Rolling back

All Bounds

Timebounds

Overall timebound:2*Arg_2*Arg_4+2*Arg_2+5*Arg_4+5 {O(n^2)}
1: eval_local_alloc_bb0_in->eval_local_alloc_bb1_in: 1 {O(1)}
2: eval_local_alloc_bb1_in->eval_local_alloc_bb2_in: Arg_4+1 {O(n)}
3: eval_local_alloc_bb1_in->eval_local_alloc_bb6_in: 1 {O(1)}
4: eval_local_alloc_bb2_in->eval_local_alloc_bb3_in: Arg_4 {O(n)}
5: eval_local_alloc_bb2_in->eval_local_alloc_bb5_in: Arg_4 {O(n)}
6: eval_local_alloc_bb3_in->eval_local_alloc_bb4_in: Arg_2*Arg_4+Arg_2 {O(n^2)}
7: eval_local_alloc_bb3_in->eval_local_alloc_bb5_in: Arg_4 {O(n)}
8: eval_local_alloc_bb4_in->eval_local_alloc_bb3_in: Arg_2*Arg_4+Arg_2 {O(n^2)}
9: eval_local_alloc_bb5_in->eval_local_alloc_bb1_in: Arg_4 {O(n)}
10: eval_local_alloc_bb6_in->eval_local_alloc_stop: 1 {O(1)}
0: eval_local_alloc_start->eval_local_alloc_bb0_in: 1 {O(1)}

Costbounds

Overall costbound: 2*Arg_2*Arg_4+2*Arg_2+5*Arg_4+5 {O(n^2)}
1: eval_local_alloc_bb0_in->eval_local_alloc_bb1_in: 1 {O(1)}
2: eval_local_alloc_bb1_in->eval_local_alloc_bb2_in: Arg_4+1 {O(n)}
3: eval_local_alloc_bb1_in->eval_local_alloc_bb6_in: 1 {O(1)}
4: eval_local_alloc_bb2_in->eval_local_alloc_bb3_in: Arg_4 {O(n)}
5: eval_local_alloc_bb2_in->eval_local_alloc_bb5_in: Arg_4 {O(n)}
6: eval_local_alloc_bb3_in->eval_local_alloc_bb4_in: Arg_2*Arg_4+Arg_2 {O(n^2)}
7: eval_local_alloc_bb3_in->eval_local_alloc_bb5_in: Arg_4 {O(n)}
8: eval_local_alloc_bb4_in->eval_local_alloc_bb3_in: Arg_2*Arg_4+Arg_2 {O(n^2)}
9: eval_local_alloc_bb5_in->eval_local_alloc_bb1_in: Arg_4 {O(n)}
10: eval_local_alloc_bb6_in->eval_local_alloc_stop: 1 {O(1)}
0: eval_local_alloc_start->eval_local_alloc_bb0_in: 1 {O(1)}

Sizebounds

1: eval_local_alloc_bb0_in->eval_local_alloc_bb1_in, Arg_0: 0 {O(1)}
1: eval_local_alloc_bb0_in->eval_local_alloc_bb1_in, Arg_1: Arg_1 {O(n)}
1: eval_local_alloc_bb0_in->eval_local_alloc_bb1_in, Arg_2: Arg_2 {O(n)}
1: eval_local_alloc_bb0_in->eval_local_alloc_bb1_in, Arg_3: Arg_3 {O(n)}
1: eval_local_alloc_bb0_in->eval_local_alloc_bb1_in, Arg_4: Arg_4 {O(n)}
1: eval_local_alloc_bb0_in->eval_local_alloc_bb1_in, Arg_5: Arg_3 {O(n)}
2: eval_local_alloc_bb1_in->eval_local_alloc_bb2_in, Arg_0: Arg_4 {O(n)}
2: eval_local_alloc_bb1_in->eval_local_alloc_bb2_in, Arg_1: Arg_2*Arg_4+Arg_1+Arg_2 {O(n^2)}
2: eval_local_alloc_bb1_in->eval_local_alloc_bb2_in, Arg_2: Arg_2 {O(n)}
2: eval_local_alloc_bb1_in->eval_local_alloc_bb2_in, Arg_3: Arg_3 {O(n)}
2: eval_local_alloc_bb1_in->eval_local_alloc_bb2_in, Arg_4: Arg_4 {O(n)}
2: eval_local_alloc_bb1_in->eval_local_alloc_bb2_in, Arg_5: Arg_3 {O(n)}
3: eval_local_alloc_bb1_in->eval_local_alloc_bb6_in, Arg_0: Arg_4 {O(n)}
3: eval_local_alloc_bb1_in->eval_local_alloc_bb6_in, Arg_1: Arg_2*Arg_4+2*Arg_1+Arg_2 {O(n^2)}
3: eval_local_alloc_bb1_in->eval_local_alloc_bb6_in, Arg_2: 2*Arg_2 {O(n)}
3: eval_local_alloc_bb1_in->eval_local_alloc_bb6_in, Arg_3: 2*Arg_3 {O(n)}
3: eval_local_alloc_bb1_in->eval_local_alloc_bb6_in, Arg_4: 2*Arg_4 {O(n)}
3: eval_local_alloc_bb1_in->eval_local_alloc_bb6_in, Arg_5: Arg_3 {O(n)}
4: eval_local_alloc_bb2_in->eval_local_alloc_bb3_in, Arg_0: Arg_4 {O(n)}
4: eval_local_alloc_bb2_in->eval_local_alloc_bb3_in, Arg_1: 0 {O(1)}
4: eval_local_alloc_bb2_in->eval_local_alloc_bb3_in, Arg_2: Arg_2 {O(n)}
4: eval_local_alloc_bb2_in->eval_local_alloc_bb3_in, Arg_3: Arg_3 {O(n)}
4: eval_local_alloc_bb2_in->eval_local_alloc_bb3_in, Arg_4: Arg_4 {O(n)}
4: eval_local_alloc_bb2_in->eval_local_alloc_bb3_in, Arg_5: Arg_3 {O(n)}
5: eval_local_alloc_bb2_in->eval_local_alloc_bb5_in, Arg_0: Arg_4 {O(n)}
5: eval_local_alloc_bb2_in->eval_local_alloc_bb5_in, Arg_1: Arg_2*Arg_4+Arg_1+Arg_2 {O(n^2)}
5: eval_local_alloc_bb2_in->eval_local_alloc_bb5_in, Arg_2: Arg_2 {O(n)}
5: eval_local_alloc_bb2_in->eval_local_alloc_bb5_in, Arg_3: Arg_3 {O(n)}
5: eval_local_alloc_bb2_in->eval_local_alloc_bb5_in, Arg_4: Arg_4 {O(n)}
5: eval_local_alloc_bb2_in->eval_local_alloc_bb5_in, Arg_5: Arg_3 {O(n)}
6: eval_local_alloc_bb3_in->eval_local_alloc_bb4_in, Arg_0: Arg_4 {O(n)}
6: eval_local_alloc_bb3_in->eval_local_alloc_bb4_in, Arg_1: Arg_2*Arg_4+Arg_2 {O(n^2)}
6: eval_local_alloc_bb3_in->eval_local_alloc_bb4_in, Arg_2: Arg_2 {O(n)}
6: eval_local_alloc_bb3_in->eval_local_alloc_bb4_in, Arg_3: Arg_3 {O(n)}
6: eval_local_alloc_bb3_in->eval_local_alloc_bb4_in, Arg_4: Arg_4 {O(n)}
6: eval_local_alloc_bb3_in->eval_local_alloc_bb4_in, Arg_5: Arg_3 {O(n)}
7: eval_local_alloc_bb3_in->eval_local_alloc_bb5_in, Arg_0: Arg_4 {O(n)}
7: eval_local_alloc_bb3_in->eval_local_alloc_bb5_in, Arg_1: Arg_2*Arg_4+Arg_2 {O(n^2)}
7: eval_local_alloc_bb3_in->eval_local_alloc_bb5_in, Arg_2: Arg_2 {O(n)}
7: eval_local_alloc_bb3_in->eval_local_alloc_bb5_in, Arg_3: Arg_3 {O(n)}
7: eval_local_alloc_bb3_in->eval_local_alloc_bb5_in, Arg_4: Arg_4 {O(n)}
7: eval_local_alloc_bb3_in->eval_local_alloc_bb5_in, Arg_5: 2*Arg_3 {O(n)}
8: eval_local_alloc_bb4_in->eval_local_alloc_bb3_in, Arg_0: Arg_4 {O(n)}
8: eval_local_alloc_bb4_in->eval_local_alloc_bb3_in, Arg_1: Arg_2*Arg_4+Arg_2 {O(n^2)}
8: eval_local_alloc_bb4_in->eval_local_alloc_bb3_in, Arg_2: Arg_2 {O(n)}
8: eval_local_alloc_bb4_in->eval_local_alloc_bb3_in, Arg_3: Arg_3 {O(n)}
8: eval_local_alloc_bb4_in->eval_local_alloc_bb3_in, Arg_4: Arg_4 {O(n)}
8: eval_local_alloc_bb4_in->eval_local_alloc_bb3_in, Arg_5: Arg_3 {O(n)}
9: eval_local_alloc_bb5_in->eval_local_alloc_bb1_in, Arg_0: Arg_4 {O(n)}
9: eval_local_alloc_bb5_in->eval_local_alloc_bb1_in, Arg_1: Arg_2*Arg_4+Arg_1+Arg_2 {O(n^2)}
9: eval_local_alloc_bb5_in->eval_local_alloc_bb1_in, Arg_2: Arg_2 {O(n)}
9: eval_local_alloc_bb5_in->eval_local_alloc_bb1_in, Arg_3: Arg_3 {O(n)}
9: eval_local_alloc_bb5_in->eval_local_alloc_bb1_in, Arg_4: Arg_4 {O(n)}
9: eval_local_alloc_bb5_in->eval_local_alloc_bb1_in, Arg_5: 0 {O(1)}
10: eval_local_alloc_bb6_in->eval_local_alloc_stop, Arg_0: Arg_4 {O(n)}
10: eval_local_alloc_bb6_in->eval_local_alloc_stop, Arg_1: Arg_2*Arg_4+2*Arg_1+Arg_2 {O(n^2)}
10: eval_local_alloc_bb6_in->eval_local_alloc_stop, Arg_2: 2*Arg_2 {O(n)}
10: eval_local_alloc_bb6_in->eval_local_alloc_stop, Arg_3: 2*Arg_3 {O(n)}
10: eval_local_alloc_bb6_in->eval_local_alloc_stop, Arg_4: 2*Arg_4 {O(n)}
10: eval_local_alloc_bb6_in->eval_local_alloc_stop, Arg_5: Arg_3 {O(n)}
0: eval_local_alloc_start->eval_local_alloc_bb0_in, Arg_0: Arg_0 {O(n)}
0: eval_local_alloc_start->eval_local_alloc_bb0_in, Arg_1: Arg_1 {O(n)}
0: eval_local_alloc_start->eval_local_alloc_bb0_in, Arg_2: Arg_2 {O(n)}
0: eval_local_alloc_start->eval_local_alloc_bb0_in, Arg_3: Arg_3 {O(n)}
0: eval_local_alloc_start->eval_local_alloc_bb0_in, Arg_4: Arg_4 {O(n)}
0: eval_local_alloc_start->eval_local_alloc_bb0_in, Arg_5: Arg_5 {O(n)}