Initial Problem

Start: eval_speedFails2_start
Program_Vars: Arg_0, Arg_1, Arg_2
Temp_Vars:
Locations: eval_speedFails2_bb0_in, eval_speedFails2_bb1_in, eval_speedFails2_bb2_in, eval_speedFails2_bb3_in, eval_speedFails2_start, eval_speedFails2_stop
Transitions:
1:eval_speedFails2_bb0_in(Arg_0,Arg_1,Arg_2) -> eval_speedFails2_bb1_in(Arg_2,Arg_1,Arg_2)
2:eval_speedFails2_bb1_in(Arg_0,Arg_1,Arg_2) -> eval_speedFails2_bb2_in(Arg_0,Arg_1,Arg_2):|:Arg_0<Arg_1
3:eval_speedFails2_bb1_in(Arg_0,Arg_1,Arg_2) -> eval_speedFails2_bb2_in(Arg_0,Arg_1,Arg_2):|:Arg_1<Arg_0
4:eval_speedFails2_bb1_in(Arg_0,Arg_1,Arg_2) -> eval_speedFails2_bb3_in(Arg_0,Arg_1,Arg_2):|:Arg_0<=Arg_1 && Arg_1<=Arg_0
5:eval_speedFails2_bb2_in(Arg_0,Arg_1,Arg_2) -> eval_speedFails2_bb1_in(Arg_0+1,Arg_1,Arg_2)
6:eval_speedFails2_bb3_in(Arg_0,Arg_1,Arg_2) -> eval_speedFails2_stop(Arg_0,Arg_1,Arg_2)
0:eval_speedFails2_start(Arg_0,Arg_1,Arg_2) -> eval_speedFails2_bb0_in(Arg_0,Arg_1,Arg_2)

Preprocessing

Found invariant Arg_2<=Arg_0 for location eval_speedFails2_bb2_in

Found invariant Arg_2<=Arg_1 && Arg_2<=Arg_0 && Arg_1<=Arg_0 && Arg_0<=Arg_1 for location eval_speedFails2_bb3_in

Found invariant Arg_2<=Arg_1 && Arg_2<=Arg_0 && Arg_1<=Arg_0 && Arg_0<=Arg_1 for location eval_speedFails2_stop

Found invariant Arg_2<=Arg_0 for location eval_speedFails2_bb1_in

Problem after Preprocessing

Start: eval_speedFails2_start
Program_Vars: Arg_0, Arg_1, Arg_2
Temp_Vars:
Locations: eval_speedFails2_bb0_in, eval_speedFails2_bb1_in, eval_speedFails2_bb2_in, eval_speedFails2_bb3_in, eval_speedFails2_start, eval_speedFails2_stop
Transitions:
1:eval_speedFails2_bb0_in(Arg_0,Arg_1,Arg_2) -> eval_speedFails2_bb1_in(Arg_2,Arg_1,Arg_2)
2:eval_speedFails2_bb1_in(Arg_0,Arg_1,Arg_2) -> eval_speedFails2_bb2_in(Arg_0,Arg_1,Arg_2):|:Arg_2<=Arg_0 && Arg_0<Arg_1
3:eval_speedFails2_bb1_in(Arg_0,Arg_1,Arg_2) -> eval_speedFails2_bb2_in(Arg_0,Arg_1,Arg_2):|:Arg_2<=Arg_0 && Arg_1<Arg_0
4:eval_speedFails2_bb1_in(Arg_0,Arg_1,Arg_2) -> eval_speedFails2_bb3_in(Arg_0,Arg_1,Arg_2):|:Arg_2<=Arg_0 && Arg_0<=Arg_1 && Arg_1<=Arg_0
5:eval_speedFails2_bb2_in(Arg_0,Arg_1,Arg_2) -> eval_speedFails2_bb1_in(Arg_0+1,Arg_1,Arg_2):|:Arg_2<=Arg_0
6:eval_speedFails2_bb3_in(Arg_0,Arg_1,Arg_2) -> eval_speedFails2_stop(Arg_0,Arg_1,Arg_2):|:Arg_2<=Arg_1 && Arg_2<=Arg_0 && Arg_1<=Arg_0 && Arg_0<=Arg_1
0:eval_speedFails2_start(Arg_0,Arg_1,Arg_2) -> eval_speedFails2_bb0_in(Arg_0,Arg_1,Arg_2)

MPRF for transition 2:eval_speedFails2_bb1_in(Arg_0,Arg_1,Arg_2) -> eval_speedFails2_bb2_in(Arg_0,Arg_1,Arg_2):|:Arg_2<=Arg_0 && Arg_0<Arg_1 of depth 1:

new bound:

Arg_1+Arg_2 {O(n)}

MPRF:

eval_speedFails2_bb2_in [Arg_1-Arg_0-1 ]
eval_speedFails2_bb1_in [Arg_1-Arg_0 ]

Analysing control-flow refined program

Cut unsatisfiable transition 67: n_eval_speedFails2_bb1_in___2->eval_speedFails2_bb3_in

Cut unsatisfiable transition 52: n_eval_speedFails2_bb1_in___5->n_eval_speedFails2_bb2_in___3

Cut unreachable locations [n_eval_speedFails2_bb2_in___3] from the program graph

Found invariant 1+Arg_2<=Arg_0 && 1+Arg_1<=Arg_2 && 2+Arg_1<=Arg_0 for location n_eval_speedFails2_bb2_in___1

Found invariant 1+Arg_2<=Arg_0 && 1+Arg_1<=Arg_2 && 2+Arg_1<=Arg_0 for location n_eval_speedFails2_bb1_in___2

Found invariant 2+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 1+Arg_0<=Arg_1 for location n_eval_speedFails2_bb2_in___4

Found invariant Arg_2<=Arg_1 && Arg_2<=Arg_0 && Arg_1<=Arg_0 && Arg_0<=Arg_1 for location eval_speedFails2_bb3_in

Found invariant Arg_2<=Arg_0 && 1+Arg_1<=Arg_2 && Arg_0<=Arg_2 && 1+Arg_1<=Arg_0 for location n_eval_speedFails2_bb2_in___6

Found invariant 1+Arg_2<=Arg_1 && Arg_2<=Arg_0 && Arg_0<=Arg_2 && 1+Arg_0<=Arg_1 for location n_eval_speedFails2_bb2_in___7

Found invariant Arg_2<=Arg_1 && Arg_2<=Arg_0 && Arg_1<=Arg_0 && Arg_0<=Arg_1 for location eval_speedFails2_stop

Found invariant Arg_2<=Arg_0 && Arg_0<=Arg_2 for location eval_speedFails2_bb1_in

Found invariant 1+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && Arg_0<=Arg_1 for location n_eval_speedFails2_bb1_in___5

MPRF for transition 53:n_eval_speedFails2_bb1_in___5(Arg_0,Arg_1,Arg_2) -> n_eval_speedFails2_bb2_in___4(Arg_0,Arg_1,Arg_2):|:1+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && Arg_0<=Arg_1 && Arg_2<=Arg_0 && 1+Arg_2<=Arg_0 && Arg_2<=Arg_0 && Arg_0<Arg_1 of depth 1:

new bound:

Arg_1+Arg_2+2 {O(n)}

MPRF:

n_eval_speedFails2_bb2_in___4 [Arg_1-Arg_0 ]
n_eval_speedFails2_bb1_in___5 [Arg_1+1-Arg_0 ]

MPRF for transition 58:n_eval_speedFails2_bb2_in___4(Arg_0,Arg_1,Arg_2) -> n_eval_speedFails2_bb1_in___5(Arg_0+1,Arg_1,Arg_2):|:2+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 1+Arg_0<=Arg_1 && Arg_0<Arg_1 && 1+Arg_2<=Arg_0 && Arg_2<=Arg_0 of depth 1:

new bound:

Arg_1+Arg_2+1 {O(n)}

MPRF:

n_eval_speedFails2_bb2_in___4 [Arg_1-Arg_0 ]
n_eval_speedFails2_bb1_in___5 [Arg_1-Arg_0 ]

CFR did not improve the program. Rolling back

All Bounds

Timebounds

Overall timebound:inf {Infinity}
1: eval_speedFails2_bb0_in->eval_speedFails2_bb1_in: 1 {O(1)}
2: eval_speedFails2_bb1_in->eval_speedFails2_bb2_in: Arg_1+Arg_2 {O(n)}
3: eval_speedFails2_bb1_in->eval_speedFails2_bb2_in: inf {Infinity}
4: eval_speedFails2_bb1_in->eval_speedFails2_bb3_in: 1 {O(1)}
5: eval_speedFails2_bb2_in->eval_speedFails2_bb1_in: inf {Infinity}
6: eval_speedFails2_bb3_in->eval_speedFails2_stop: 1 {O(1)}
0: eval_speedFails2_start->eval_speedFails2_bb0_in: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
1: eval_speedFails2_bb0_in->eval_speedFails2_bb1_in: 1 {O(1)}
2: eval_speedFails2_bb1_in->eval_speedFails2_bb2_in: Arg_1+Arg_2 {O(n)}
3: eval_speedFails2_bb1_in->eval_speedFails2_bb2_in: inf {Infinity}
4: eval_speedFails2_bb1_in->eval_speedFails2_bb3_in: 1 {O(1)}
5: eval_speedFails2_bb2_in->eval_speedFails2_bb1_in: inf {Infinity}
6: eval_speedFails2_bb3_in->eval_speedFails2_stop: 1 {O(1)}
0: eval_speedFails2_start->eval_speedFails2_bb0_in: 1 {O(1)}

Sizebounds

1: eval_speedFails2_bb0_in->eval_speedFails2_bb1_in, Arg_0: Arg_2 {O(n)}
1: eval_speedFails2_bb0_in->eval_speedFails2_bb1_in, Arg_1: Arg_1 {O(n)}
1: eval_speedFails2_bb0_in->eval_speedFails2_bb1_in, Arg_2: Arg_2 {O(n)}
2: eval_speedFails2_bb1_in->eval_speedFails2_bb2_in, Arg_1: 2*Arg_1 {O(n)}
2: eval_speedFails2_bb1_in->eval_speedFails2_bb2_in, Arg_2: 2*Arg_2 {O(n)}
3: eval_speedFails2_bb1_in->eval_speedFails2_bb2_in, Arg_1: 2*Arg_1 {O(n)}
3: eval_speedFails2_bb1_in->eval_speedFails2_bb2_in, Arg_2: 2*Arg_2 {O(n)}
4: eval_speedFails2_bb1_in->eval_speedFails2_bb3_in, Arg_1: 3*Arg_1 {O(n)}
4: eval_speedFails2_bb1_in->eval_speedFails2_bb3_in, Arg_2: 3*Arg_2 {O(n)}
5: eval_speedFails2_bb2_in->eval_speedFails2_bb1_in, Arg_1: 2*Arg_1 {O(n)}
5: eval_speedFails2_bb2_in->eval_speedFails2_bb1_in, Arg_2: 2*Arg_2 {O(n)}
6: eval_speedFails2_bb3_in->eval_speedFails2_stop, Arg_1: 3*Arg_1 {O(n)}
6: eval_speedFails2_bb3_in->eval_speedFails2_stop, Arg_2: 3*Arg_2 {O(n)}
0: eval_speedFails2_start->eval_speedFails2_bb0_in, Arg_0: Arg_0 {O(n)}
0: eval_speedFails2_start->eval_speedFails2_bb0_in, Arg_1: Arg_1 {O(n)}
0: eval_speedFails2_start->eval_speedFails2_bb0_in, Arg_2: Arg_2 {O(n)}