Initial Problem

Start: f3
Program_Vars: Arg_0, Arg_1
Temp_Vars: C, D
Locations: f2, f3, f300
Transitions:
0:f2(Arg_0,Arg_1) -> f2(D-1,Arg_1):|:C<=0 && Arg_0+1<=0
1:f2(Arg_0,Arg_1) -> f2(1+D,Arg_1):|:2<=C && Arg_0+1<=0
2:f2(Arg_0,Arg_1) -> f2(D-1,Arg_1):|:2+C<=0 && 1<=Arg_0
3:f2(Arg_0,Arg_1) -> f2(1+D,Arg_1):|:0<=C && 1<=Arg_0
5:f2(Arg_0,Arg_1) -> f300(0,D):|:Arg_0+1<=0
6:f2(Arg_0,Arg_1) -> f300(0,D):|:1<=Arg_0
7:f2(Arg_0,Arg_1) -> f300(Arg_0,D):|:Arg_0<=0 && 0<=Arg_0
4: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, D
Locations: f2, f3, f300
Transitions:
16:f2(Arg_0) -> f2(D-1):|:C<=0 && Arg_0+1<=0
17:f2(Arg_0) -> f2(1+D):|:2<=C && Arg_0+1<=0
18:f2(Arg_0) -> f2(D-1):|:2+C<=0 && 1<=Arg_0
19:f2(Arg_0) -> f2(1+D):|:0<=C && 1<=Arg_0
20:f2(Arg_0) -> f300(0):|:Arg_0+1<=0
21:f2(Arg_0) -> f300(0):|:1<=Arg_0
22:f2(Arg_0) -> f300(Arg_0):|:Arg_0<=0 && 0<=Arg_0
23:f3(Arg_0) -> f2(Arg_0)

All Bounds

Timebounds

Overall timebound:inf {Infinity}
16: f2->f2: inf {Infinity}
17: f2->f2: inf {Infinity}
18: f2->f2: inf {Infinity}
19: f2->f2: inf {Infinity}
20: f2->f300: 1 {O(1)}
21: f2->f300: 1 {O(1)}
22: f2->f300: 1 {O(1)}
23: f3->f2: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
16: f2->f2: inf {Infinity}
17: f2->f2: inf {Infinity}
18: f2->f2: inf {Infinity}
19: f2->f2: inf {Infinity}
20: f2->f300: 1 {O(1)}
21: f2->f300: 1 {O(1)}
22: f2->f300: 1 {O(1)}
23: f3->f2: 1 {O(1)}

Sizebounds

20: f2->f300, Arg_0: 0 {O(1)}
21: f2->f300, Arg_0: 0 {O(1)}
22: f2->f300, Arg_0: 0 {O(1)}
23: f3->f2, Arg_0: Arg_0 {O(n)}