Initial Problem

Start: f0
Program_Vars: Arg_0
Temp_Vars:
Locations: f0, f3
Transitions:
0:f0(Arg_0) -> f3(Arg_0)
1:f3(Arg_0) -> f3(Arg_0-1):|:2<=Arg_0
2:f3(Arg_0) -> f3(Arg_0-1)

Preprocessing

Problem after Preprocessing

Start: f0
Program_Vars: Arg_0
Temp_Vars:
Locations: f0, f3
Transitions:
0:f0(Arg_0) -> f3(Arg_0)
1:f3(Arg_0) -> f3(Arg_0-1):|:2<=Arg_0
2:f3(Arg_0) -> f3(Arg_0-1)

MPRF for transition 1:f3(Arg_0) -> f3(Arg_0-1):|:2<=Arg_0 of depth 1:

new bound:

Arg_0 {O(n)}

MPRF:

f3 [Arg_0 ]

Analysing control-flow refined program

Found invariant 1<=Arg_0 for location n_f3___1

MPRF for transition 33:f3(Arg_0) -> n_f3___1(Arg_0-1):|:2<=Arg_0 of depth 1:

new bound:

Arg_0+1 {O(n)}

MPRF:

n_f3___1 [Arg_0-2 ]
f3 [Arg_0-1 ]

MPRF for transition 31:n_f3___1(Arg_0) -> n_f3___1(Arg_0-1):|:1<=Arg_0 && 1<=Arg_0 && 2<=Arg_0 of depth 1:

new bound:

Arg_0 {O(n)}

MPRF:

n_f3___1 [Arg_0 ]
f3 [Arg_0 ]

MPRF for transition 32:n_f3___1(Arg_0) -> f3(Arg_0-1):|:1<=Arg_0 && 1<=Arg_0 of depth 1:

new bound:

Arg_0+1 {O(n)}

MPRF:

n_f3___1 [Arg_0 ]
f3 [Arg_0-1 ]

CFR did not improve the program. Rolling back

All Bounds

Timebounds

Overall timebound:inf {Infinity}
0: f0->f3: 1 {O(1)}
1: f3->f3: Arg_0 {O(n)}
2: f3->f3: inf {Infinity}

Costbounds

Overall costbound: inf {Infinity}
0: f0->f3: 1 {O(1)}
1: f3->f3: Arg_0 {O(n)}
2: f3->f3: inf {Infinity}

Sizebounds

0: f0->f3, Arg_0: Arg_0 {O(n)}