Initial Problem

Start: evalfstart
Program_Vars: Arg_0, Arg_1
Temp_Vars: C
Locations: evalfbb1in, evalfbb2in, evalfbb3in, evalfbb4in, evalfbbin, evalfentryin, evalfreturnin, evalfstart, evalfstop
Transitions:
9:evalfbb1in(Arg_0,Arg_1) -> evalfbb3in(Arg_0+1,Arg_1)
10:evalfbb2in(Arg_0,Arg_1) -> evalfbb3in(Arg_0-Arg_1,Arg_1)
3:evalfbb3in(Arg_0,Arg_1) -> evalfbb4in(Arg_0,Arg_1):|:1<=Arg_0
2:evalfbb3in(Arg_0,Arg_1) -> evalfreturnin(Arg_0,Arg_1):|:Arg_0<=0
4:evalfbb4in(Arg_0,Arg_1) -> evalfbbin(Arg_0,Arg_1):|:C+1<=0
5:evalfbb4in(Arg_0,Arg_1) -> evalfbbin(Arg_0,Arg_1):|:1<=C
6:evalfbb4in(Arg_0,Arg_1) -> evalfreturnin(Arg_0,Arg_1)
7:evalfbbin(Arg_0,Arg_1) -> evalfbb1in(Arg_0,Arg_1):|:Arg_0+1<=Arg_1
8:evalfbbin(Arg_0,Arg_1) -> evalfbb2in(Arg_0,Arg_1):|:Arg_1<=Arg_0
1:evalfentryin(Arg_0,Arg_1) -> evalfbb3in(Arg_1,Arg_0):|:1<=Arg_0 && Arg_0+1<=Arg_1
11:evalfreturnin(Arg_0,Arg_1) -> evalfstop(Arg_0,Arg_1)
0:evalfstart(Arg_0,Arg_1) -> evalfentryin(Arg_0,Arg_1)

Preprocessing

Found invariant 1<=Arg_1 && 1<=Arg_0+Arg_1 for location evalfreturnin

Found invariant 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 for location evalfbb1in

Found invariant Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location evalfbb2in

Found invariant 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location evalfbbin

Found invariant 1<=Arg_1 && 1<=Arg_0+Arg_1 for location evalfbb3in

Found invariant 1<=Arg_1 && 1<=Arg_0+Arg_1 for location evalfstop

Found invariant 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location evalfbb4in

Problem after Preprocessing

Start: evalfstart
Program_Vars: Arg_0, Arg_1
Temp_Vars: C
Locations: evalfbb1in, evalfbb2in, evalfbb3in, evalfbb4in, evalfbbin, evalfentryin, evalfreturnin, evalfstart, evalfstop
Transitions:
9:evalfbb1in(Arg_0,Arg_1) -> evalfbb3in(Arg_0+1,Arg_1):|:2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0
10:evalfbb2in(Arg_0,Arg_1) -> evalfbb3in(Arg_0-Arg_1,Arg_1):|:Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0
3:evalfbb3in(Arg_0,Arg_1) -> evalfbb4in(Arg_0,Arg_1):|:1<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0
2:evalfbb3in(Arg_0,Arg_1) -> evalfreturnin(Arg_0,Arg_1):|:1<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=0
4:evalfbb4in(Arg_0,Arg_1) -> evalfbbin(Arg_0,Arg_1):|:1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && C+1<=0
5:evalfbb4in(Arg_0,Arg_1) -> evalfbbin(Arg_0,Arg_1):|:1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && 1<=C
6:evalfbb4in(Arg_0,Arg_1) -> evalfreturnin(Arg_0,Arg_1):|:1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0
7:evalfbbin(Arg_0,Arg_1) -> evalfbb1in(Arg_0,Arg_1):|:1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_0+1<=Arg_1
8:evalfbbin(Arg_0,Arg_1) -> evalfbb2in(Arg_0,Arg_1):|:1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_1<=Arg_0
1:evalfentryin(Arg_0,Arg_1) -> evalfbb3in(Arg_1,Arg_0):|:1<=Arg_0 && Arg_0+1<=Arg_1
11:evalfreturnin(Arg_0,Arg_1) -> evalfstop(Arg_0,Arg_1):|:1<=Arg_1 && 1<=Arg_0+Arg_1
0:evalfstart(Arg_0,Arg_1) -> evalfentryin(Arg_0,Arg_1)

All Bounds

Timebounds

Overall timebound:inf {Infinity}
9: evalfbb1in->evalfbb3in: inf {Infinity}
10: evalfbb2in->evalfbb3in: inf {Infinity}
2: evalfbb3in->evalfreturnin: 1 {O(1)}
3: evalfbb3in->evalfbb4in: inf {Infinity}
4: evalfbb4in->evalfbbin: inf {Infinity}
5: evalfbb4in->evalfbbin: inf {Infinity}
6: evalfbb4in->evalfreturnin: 1 {O(1)}
7: evalfbbin->evalfbb1in: inf {Infinity}
8: evalfbbin->evalfbb2in: inf {Infinity}
1: evalfentryin->evalfbb3in: 1 {O(1)}
11: evalfreturnin->evalfstop: 1 {O(1)}
0: evalfstart->evalfentryin: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
9: evalfbb1in->evalfbb3in: inf {Infinity}
10: evalfbb2in->evalfbb3in: inf {Infinity}
2: evalfbb3in->evalfreturnin: 1 {O(1)}
3: evalfbb3in->evalfbb4in: inf {Infinity}
4: evalfbb4in->evalfbbin: inf {Infinity}
5: evalfbb4in->evalfbbin: inf {Infinity}
6: evalfbb4in->evalfreturnin: 1 {O(1)}
7: evalfbbin->evalfbb1in: inf {Infinity}
8: evalfbbin->evalfbb2in: inf {Infinity}
1: evalfentryin->evalfbb3in: 1 {O(1)}
11: evalfreturnin->evalfstop: 1 {O(1)}
0: evalfstart->evalfentryin: 1 {O(1)}

Sizebounds

9: evalfbb1in->evalfbb3in, Arg_1: Arg_0 {O(n)}
10: evalfbb2in->evalfbb3in, Arg_1: Arg_0 {O(n)}
2: evalfbb3in->evalfreturnin, Arg_1: Arg_0 {O(n)}
3: evalfbb3in->evalfbb4in, Arg_1: Arg_0 {O(n)}
4: evalfbb4in->evalfbbin, Arg_1: Arg_0 {O(n)}
5: evalfbb4in->evalfbbin, Arg_1: Arg_0 {O(n)}
6: evalfbb4in->evalfreturnin, Arg_1: Arg_0 {O(n)}
7: evalfbbin->evalfbb1in, Arg_1: Arg_0 {O(n)}
8: evalfbbin->evalfbb2in, Arg_1: Arg_0 {O(n)}
1: evalfentryin->evalfbb3in, Arg_0: Arg_1 {O(n)}
1: evalfentryin->evalfbb3in, Arg_1: Arg_0 {O(n)}
11: evalfreturnin->evalfstop, Arg_1: 2*Arg_0 {O(n)}
0: evalfstart->evalfentryin, Arg_0: Arg_0 {O(n)}
0: evalfstart->evalfentryin, Arg_1: Arg_1 {O(n)}