Initial Problem

Start: n_f3
Program_Vars: Arg_0, Arg_1
Temp_Vars: NoDet0
Locations: n_f2___2, n_f2___3, n_f3, n_f300___1
Transitions:
0:n_f2___2(Arg_0,Arg_1) -> n_f2___2(Arg_0-1,Arg_1):|:Arg_0<=1 && Arg_0<=1 && Arg_0<=0 && Arg_0<=1
1:n_f2___3(Arg_0,Arg_1) -> n_f2___2(Arg_0-1,Arg_1):|:Arg_0<=1
2:n_f2___3(Arg_0,Arg_1) -> n_f300___1(Arg_0-1,NoDet0):|:2<=Arg_0
3:n_f3(Arg_0,Arg_1) -> n_f2___3(Arg_0,Arg_1)

Preprocessing

Eliminate variables {NoDet0,Arg_1} that do not contribute to the problem

Found invariant 1<=Arg_0 for location n_f300___1

Found invariant Arg_0<=0 for location n_f2___2

Problem after Preprocessing

Start: n_f3
Program_Vars: Arg_0
Temp_Vars:
Locations: n_f2___2, n_f2___3, n_f3, n_f300___1
Transitions:
8:n_f2___2(Arg_0) -> n_f2___2(Arg_0-1):|:Arg_0<=0 && Arg_0<=1 && Arg_0<=1 && Arg_0<=0 && Arg_0<=1
9:n_f2___3(Arg_0) -> n_f2___2(Arg_0-1):|:Arg_0<=1
10:n_f2___3(Arg_0) -> n_f300___1(Arg_0-1):|:2<=Arg_0
11:n_f3(Arg_0) -> n_f2___3(Arg_0)

All Bounds

Timebounds

Overall timebound:inf {Infinity}
8: n_f2___2->n_f2___2: inf {Infinity}
9: n_f2___3->n_f2___2: 1 {O(1)}
10: n_f2___3->n_f300___1: 1 {O(1)}
11: n_f3->n_f2___3: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
8: n_f2___2->n_f2___2: inf {Infinity}
9: n_f2___3->n_f2___2: 1 {O(1)}
10: n_f2___3->n_f300___1: 1 {O(1)}
11: n_f3->n_f2___3: 1 {O(1)}

Sizebounds

9: n_f2___3->n_f2___2, Arg_0: Arg_0+1 {O(n)}
10: n_f2___3->n_f300___1, Arg_0: Arg_0 {O(n)}
11: n_f3->n_f2___3, Arg_0: Arg_0 {O(n)}