Initial Problem

Start: eval_foo_start
Program_Vars: Arg_0, Arg_1
Temp_Vars:
Locations: eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_bb3_in, eval_foo_start, eval_foo_stop
Transitions:
1:eval_foo_bb0_in(Arg_0,Arg_1) -> eval_foo_bb1_in(Arg_1,Arg_1)
2:eval_foo_bb1_in(Arg_0,Arg_1) -> eval_foo_bb2_in(Arg_0,Arg_1):|:10<Arg_0
3:eval_foo_bb1_in(Arg_0,Arg_1) -> eval_foo_bb3_in(Arg_0,Arg_1):|:Arg_0<=10
4:eval_foo_bb2_in(Arg_0,Arg_1) -> eval_foo_bb1_in(29,Arg_1):|:Arg_0<=25 && 25<=Arg_0
5:eval_foo_bb2_in(Arg_0,Arg_1) -> eval_foo_bb1_in(Arg_0-1,Arg_1):|:Arg_0<25 && Arg_0<=30
6:eval_foo_bb2_in(Arg_0,Arg_1) -> eval_foo_bb1_in(Arg_0-1,Arg_1):|:25<Arg_0 && Arg_0<=30
7:eval_foo_bb2_in(Arg_0,Arg_1) -> eval_foo_bb1_in(20,Arg_1):|:Arg_0<25 && 30<Arg_0
8:eval_foo_bb2_in(Arg_0,Arg_1) -> eval_foo_bb1_in(20,Arg_1):|:25<Arg_0 && 30<Arg_0
9:eval_foo_bb3_in(Arg_0,Arg_1) -> eval_foo_stop(Arg_0,Arg_1)
0:eval_foo_start(Arg_0,Arg_1) -> eval_foo_bb0_in(Arg_0,Arg_1)

Preprocessing

Cut unsatisfiable transition 7: eval_foo_bb2_in->eval_foo_bb1_in

Found invariant Arg_0<=10 for location eval_foo_stop

Found invariant Arg_0<=10 for location eval_foo_bb3_in

Found invariant 11<=Arg_0 for location eval_foo_bb2_in

Problem after Preprocessing

Start: eval_foo_start
Program_Vars: Arg_0, Arg_1
Temp_Vars:
Locations: eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_bb3_in, eval_foo_start, eval_foo_stop
Transitions:
1:eval_foo_bb0_in(Arg_0,Arg_1) -> eval_foo_bb1_in(Arg_1,Arg_1)
2:eval_foo_bb1_in(Arg_0,Arg_1) -> eval_foo_bb2_in(Arg_0,Arg_1):|:10<Arg_0
3:eval_foo_bb1_in(Arg_0,Arg_1) -> eval_foo_bb3_in(Arg_0,Arg_1):|:Arg_0<=10
4:eval_foo_bb2_in(Arg_0,Arg_1) -> eval_foo_bb1_in(29,Arg_1):|:11<=Arg_0 && Arg_0<=25 && 25<=Arg_0
5:eval_foo_bb2_in(Arg_0,Arg_1) -> eval_foo_bb1_in(Arg_0-1,Arg_1):|:11<=Arg_0 && Arg_0<25 && Arg_0<=30
6:eval_foo_bb2_in(Arg_0,Arg_1) -> eval_foo_bb1_in(Arg_0-1,Arg_1):|:11<=Arg_0 && 25<Arg_0 && Arg_0<=30
8:eval_foo_bb2_in(Arg_0,Arg_1) -> eval_foo_bb1_in(20,Arg_1):|:11<=Arg_0 && 25<Arg_0 && 30<Arg_0
9:eval_foo_bb3_in(Arg_0,Arg_1) -> eval_foo_stop(Arg_0,Arg_1):|:Arg_0<=10
0:eval_foo_start(Arg_0,Arg_1) -> eval_foo_bb0_in(Arg_0,Arg_1)

Analysing control-flow refined program

Cut unsatisfiable transition 111: n_eval_foo_bb1_in___11->eval_foo_bb3_in

Cut unsatisfiable transition 112: n_eval_foo_bb1_in___12->eval_foo_bb3_in

Cut unsatisfiable transition 114: n_eval_foo_bb1_in___14->eval_foo_bb3_in

Cut unsatisfiable transition 116: n_eval_foo_bb1_in___4->eval_foo_bb3_in

Cut unsatisfiable transition 117: n_eval_foo_bb1_in___9->eval_foo_bb3_in

Found invariant Arg_1<=30 && Arg_1<=1+Arg_0 && Arg_0+Arg_1<=59 && Arg_0<=29 && 29<=Arg_0 for location n_eval_foo_bb1_in___14

Found invariant Arg_1<=30 && Arg_1<=2+Arg_0 && Arg_0+Arg_1<=58 && Arg_0<=28 && 28<=Arg_0 for location n_eval_foo_bb1_in___9

Found invariant Arg_1<=24 && Arg_1<=13+Arg_0 && Arg_0+Arg_1<=47 && 12<=Arg_1 && 23<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=23 && 11<=Arg_0 for location n_eval_foo_bb2_in___7

Found invariant Arg_0<=Arg_1 && Arg_0<=10 for location eval_foo_stop

Found invariant 31<=Arg_1 && 51<=Arg_0+Arg_1 && 11+Arg_0<=Arg_1 && Arg_0<=20 && 20<=Arg_0 for location n_eval_foo_bb1_in___11

Found invariant 31<=Arg_1 && 50<=Arg_0+Arg_1 && 12+Arg_0<=Arg_1 && Arg_0<=19 && 19<=Arg_0 for location n_eval_foo_bb1_in___4

Found invariant Arg_1<=30 && Arg_1<=1+Arg_0 && Arg_0+Arg_1<=59 && Arg_0<=29 && 29<=Arg_0 for location n_eval_foo_bb2_in___10

Found invariant Arg_1<=30 && Arg_1<=2+Arg_0 && Arg_0+Arg_1<=58 && Arg_0<=28 && 28<=Arg_0 for location n_eval_foo_bb2_in___8

Found invariant Arg_0<=Arg_1 && Arg_0<=10 for location eval_foo_bb3_in

Found invariant Arg_1<=24 && Arg_1<=14+Arg_0 && Arg_0+Arg_1<=47 && 11<=Arg_1 && 21<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=23 && 10<=Arg_0 for location n_eval_foo_bb1_in___13

Found invariant 31<=Arg_1 && 41<=Arg_0+Arg_1 && 13+Arg_0<=Arg_1 && Arg_0<=18 && 10<=Arg_0 for location n_eval_foo_bb1_in___2

Found invariant 31<=Arg_1 && 51<=Arg_0+Arg_1 && 11+Arg_0<=Arg_1 && Arg_0<=20 && 20<=Arg_0 for location n_eval_foo_bb2_in___5

Found invariant 31<=Arg_1 && 42<=Arg_0+Arg_1 && 13+Arg_0<=Arg_1 && Arg_0<=18 && 11<=Arg_0 for location n_eval_foo_bb2_in___1

Found invariant Arg_1<=Arg_0 && Arg_0<=Arg_1 for location eval_foo_bb1_in

Found invariant 31<=Arg_1 && 50<=Arg_0+Arg_1 && 12+Arg_0<=Arg_1 && Arg_0<=19 && 19<=Arg_0 for location n_eval_foo_bb2_in___3

Found invariant Arg_1<=30 && Arg_1<=5+Arg_0 && Arg_0+Arg_1<=59 && Arg_0<=29 && 25<=Arg_0 for location n_eval_foo_bb1_in___12

Found invariant Arg_1<=30 && Arg_1<=5+Arg_0 && Arg_0+Arg_1<=59 && Arg_0<=29 && 25<=Arg_0 for location n_eval_foo_bb2_in___6

Found invariant Arg_1<=Arg_0 && 11<=Arg_1 && 22<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 11<=Arg_0 for location n_eval_foo_bb2_in___15

Cut unsatisfiable transition 94: n_eval_foo_bb2_in___6->n_eval_foo_bb1_in___13

MPRF for transition 82:n_eval_foo_bb1_in___2(Arg_0,Arg_1) -> n_eval_foo_bb2_in___1(Arg_0,Arg_1):|:31<=Arg_1 && 41<=Arg_0+Arg_1 && 13+Arg_0<=Arg_1 && Arg_0<=18 && 10<=Arg_0 && Arg_0<25 && Arg_0<=30 && 10<=Arg_0 && Arg_0<=23 && 10<Arg_0 of depth 1:

new bound:

27 {O(1)}

MPRF:

n_eval_foo_bb2_in___1 [Arg_0-10 ]
n_eval_foo_bb1_in___2 [Arg_0-9 ]

MPRF for transition 85:n_eval_foo_bb2_in___1(Arg_0,Arg_1) -> n_eval_foo_bb1_in___2(Arg_0-1,Arg_1):|:31<=Arg_1 && 42<=Arg_0+Arg_1 && 13+Arg_0<=Arg_1 && Arg_0<=18 && 11<=Arg_0 && Arg_0<=23 && 10<Arg_0 && 11<=Arg_0 && Arg_0<25 of depth 1:

new bound:

28 {O(1)}

MPRF:

n_eval_foo_bb2_in___1 [Arg_0-10 ]
n_eval_foo_bb1_in___2 [Arg_0-10 ]

MPRF for transition 79:n_eval_foo_bb1_in___13(Arg_0,Arg_1) -> n_eval_foo_bb2_in___7(Arg_0,Arg_1):|:Arg_1<=24 && Arg_1<=14+Arg_0 && Arg_0+Arg_1<=47 && 11<=Arg_1 && 21<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=23 && 10<=Arg_0 && Arg_0<25 && Arg_0<=30 && 10<Arg_0 of depth 1:

new bound:

33 {O(1)}

MPRF:

n_eval_foo_bb2_in___7 [Arg_0-11 ]
n_eval_foo_bb1_in___13 [Arg_0-10 ]

MPRF for transition 96:n_eval_foo_bb2_in___7(Arg_0,Arg_1) -> n_eval_foo_bb1_in___13(Arg_0-1,Arg_1):|:Arg_1<=24 && Arg_1<=13+Arg_0 && Arg_0+Arg_1<=47 && 12<=Arg_1 && 23<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_0<=23 && 11<=Arg_0 && Arg_0<25 && 10<Arg_0 && 11<=Arg_0 && Arg_0<25 of depth 1:

new bound:

33 {O(1)}

MPRF:

n_eval_foo_bb2_in___7 [Arg_0-10 ]
n_eval_foo_bb1_in___13 [Arg_0-10 ]

CFR did not improve the program. Rolling back

All Bounds

Timebounds

Overall timebound:inf {Infinity}
1: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
2: eval_foo_bb1_in->eval_foo_bb2_in: inf {Infinity}
3: eval_foo_bb1_in->eval_foo_bb3_in: 1 {O(1)}
4: eval_foo_bb2_in->eval_foo_bb1_in: inf {Infinity}
5: eval_foo_bb2_in->eval_foo_bb1_in: inf {Infinity}
6: eval_foo_bb2_in->eval_foo_bb1_in: inf {Infinity}
8: eval_foo_bb2_in->eval_foo_bb1_in: inf {Infinity}
9: eval_foo_bb3_in->eval_foo_stop: 1 {O(1)}
0: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
1: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
2: eval_foo_bb1_in->eval_foo_bb2_in: inf {Infinity}
3: eval_foo_bb1_in->eval_foo_bb3_in: 1 {O(1)}
4: eval_foo_bb2_in->eval_foo_bb1_in: inf {Infinity}
5: eval_foo_bb2_in->eval_foo_bb1_in: inf {Infinity}
6: eval_foo_bb2_in->eval_foo_bb1_in: inf {Infinity}
8: eval_foo_bb2_in->eval_foo_bb1_in: inf {Infinity}
9: eval_foo_bb3_in->eval_foo_stop: 1 {O(1)}
0: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}

Sizebounds

1: eval_foo_bb0_in->eval_foo_bb1_in, Arg_0: Arg_1 {O(n)}
1: eval_foo_bb0_in->eval_foo_bb1_in, Arg_1: Arg_1 {O(n)}
2: eval_foo_bb1_in->eval_foo_bb2_in, Arg_0: Arg_1+101 {O(n)}
2: eval_foo_bb1_in->eval_foo_bb2_in, Arg_1: Arg_1 {O(n)}
3: eval_foo_bb1_in->eval_foo_bb3_in, Arg_0: Arg_1+23 {O(n)}
3: eval_foo_bb1_in->eval_foo_bb3_in, Arg_1: 2*Arg_1 {O(n)}
4: eval_foo_bb2_in->eval_foo_bb1_in, Arg_0: 29 {O(1)}
4: eval_foo_bb2_in->eval_foo_bb1_in, Arg_1: Arg_1 {O(n)}
5: eval_foo_bb2_in->eval_foo_bb1_in, Arg_0: 23 {O(1)}
5: eval_foo_bb2_in->eval_foo_bb1_in, Arg_1: Arg_1 {O(n)}
6: eval_foo_bb2_in->eval_foo_bb1_in, Arg_0: 29 {O(1)}
6: eval_foo_bb2_in->eval_foo_bb1_in, Arg_1: Arg_1 {O(n)}
8: eval_foo_bb2_in->eval_foo_bb1_in, Arg_0: 20 {O(1)}
8: eval_foo_bb2_in->eval_foo_bb1_in, Arg_1: Arg_1 {O(n)}
9: eval_foo_bb3_in->eval_foo_stop, Arg_0: Arg_1+23 {O(n)}
9: eval_foo_bb3_in->eval_foo_stop, Arg_1: 2*Arg_1 {O(n)}
0: eval_foo_start->eval_foo_bb0_in, Arg_0: Arg_0 {O(n)}
0: eval_foo_start->eval_foo_bb0_in, Arg_1: Arg_1 {O(n)}