Initial Problem

Start: f3
Program_Vars: Arg_0, Arg_1
Temp_Vars: C
Locations: f2, f3, f300
Transitions:
0:f2(Arg_0,Arg_1) -> f2(C-1,Arg_1):|:Arg_0+1<=0
1:f2(Arg_0,Arg_1) -> f2(1+C,Arg_1):|:1<=Arg_0
3:f2(Arg_0,Arg_1) -> f300(Arg_0,C):|:Arg_0<=0 && 0<=Arg_0
2:f3(Arg_0,Arg_1) -> f2(Arg_0,Arg_1)

Preprocessing

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

Found invariant Arg_0<=0 && 0<=Arg_0 for location f300

Problem after Preprocessing

Start: f3
Program_Vars: Arg_0
Temp_Vars: C
Locations: f2, f3, f300
Transitions:
8:f2(Arg_0) -> f2(C-1):|:Arg_0+1<=0
9:f2(Arg_0) -> f2(1+C):|:1<=Arg_0
10:f2(Arg_0) -> f300(Arg_0):|:Arg_0<=0 && 0<=Arg_0
11:f3(Arg_0) -> f2(Arg_0)

All Bounds

Timebounds

Overall timebound:inf {Infinity}
8: f2->f2: inf {Infinity}
9: f2->f2: inf {Infinity}
10: f2->f300: 1 {O(1)}
11: f3->f2: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
8: f2->f2: inf {Infinity}
9: f2->f2: inf {Infinity}
10: f2->f300: 1 {O(1)}
11: f3->f2: 1 {O(1)}

Sizebounds

10: f2->f300, Arg_0: 0 {O(1)}
11: f3->f2, Arg_0: Arg_0 {O(n)}