Initial Problem

Start: evalfstart
Program_Vars: Arg_0, Arg_1, Arg_2
Temp_Vars:
Locations: evalfbb1in, evalfbb2in, evalfbb3in, evalfbbin, evalfentryin, evalfreturnin, evalfstart, evalfstop
Transitions:
7:evalfbb1in(Arg_0,Arg_1,Arg_2) -> evalfbb3in(Arg_0,Arg_1,Arg_2+1)
8:evalfbb2in(Arg_0,Arg_1,Arg_2) -> evalfbb3in(Arg_0,Arg_1,Arg_2-1)
2:evalfbb3in(Arg_0,Arg_1,Arg_2) -> evalfbbin(Arg_0,Arg_1,Arg_2):|:1<=Arg_2 && Arg_2+1<=Arg_1
3:evalfbb3in(Arg_0,Arg_1,Arg_2) -> evalfreturnin(Arg_0,Arg_1,Arg_2):|:Arg_2<=0
4:evalfbb3in(Arg_0,Arg_1,Arg_2) -> evalfreturnin(Arg_0,Arg_1,Arg_2):|:Arg_1<=Arg_2
5:evalfbbin(Arg_0,Arg_1,Arg_2) -> evalfbb1in(Arg_0,Arg_1,Arg_2):|:1<=Arg_0
6:evalfbbin(Arg_0,Arg_1,Arg_2) -> evalfbb2in(Arg_0,Arg_1,Arg_2):|:Arg_0<=0
1:evalfentryin(Arg_0,Arg_1,Arg_2) -> evalfbb3in(Arg_2,Arg_1,Arg_0):|:1<=Arg_0 && Arg_0+1<=Arg_1
9:evalfreturnin(Arg_0,Arg_1,Arg_2) -> evalfstop(Arg_0,Arg_1,Arg_2)
0:evalfstart(Arg_0,Arg_1,Arg_2) -> evalfentryin(Arg_0,Arg_1,Arg_2)

Preprocessing

Found invariant Arg_2<=Arg_1 && 0<=Arg_2 && 2<=Arg_1+Arg_2 && 2<=Arg_1 for location evalfreturnin

Found invariant 1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1<=Arg_0 for location evalfbb1in

Found invariant 1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_0<=Arg_2 && 2<=Arg_1 && 2+Arg_0<=Arg_1 && Arg_0<=0 for location evalfbb2in

Found invariant 1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 2<=Arg_1 for location evalfbbin

Found invariant Arg_2<=Arg_1 && 0<=Arg_2 && 2<=Arg_1+Arg_2 && 2<=Arg_1 for location evalfbb3in

Found invariant Arg_2<=Arg_1 && 0<=Arg_2 && 2<=Arg_1+Arg_2 && 2<=Arg_1 for location evalfstop

Problem after Preprocessing

Start: evalfstart
Program_Vars: Arg_0, Arg_1, Arg_2
Temp_Vars:
Locations: evalfbb1in, evalfbb2in, evalfbb3in, evalfbbin, evalfentryin, evalfreturnin, evalfstart, evalfstop
Transitions:
7:evalfbb1in(Arg_0,Arg_1,Arg_2) -> evalfbb3in(Arg_0,Arg_1,Arg_2+1):|:1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1<=Arg_0
8:evalfbb2in(Arg_0,Arg_1,Arg_2) -> evalfbb3in(Arg_0,Arg_1,Arg_2-1):|:1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_0<=Arg_2 && 2<=Arg_1 && 2+Arg_0<=Arg_1 && Arg_0<=0
2:evalfbb3in(Arg_0,Arg_1,Arg_2) -> evalfbbin(Arg_0,Arg_1,Arg_2):|:Arg_2<=Arg_1 && 0<=Arg_2 && 2<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_2 && Arg_2+1<=Arg_1
3:evalfbb3in(Arg_0,Arg_1,Arg_2) -> evalfreturnin(Arg_0,Arg_1,Arg_2):|:Arg_2<=Arg_1 && 0<=Arg_2 && 2<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_2<=0
4:evalfbb3in(Arg_0,Arg_1,Arg_2) -> evalfreturnin(Arg_0,Arg_1,Arg_2):|:Arg_2<=Arg_1 && 0<=Arg_2 && 2<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_1<=Arg_2
5:evalfbbin(Arg_0,Arg_1,Arg_2) -> evalfbb1in(Arg_0,Arg_1,Arg_2):|:1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_0
6:evalfbbin(Arg_0,Arg_1,Arg_2) -> evalfbb2in(Arg_0,Arg_1,Arg_2):|:1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_0<=0
1:evalfentryin(Arg_0,Arg_1,Arg_2) -> evalfbb3in(Arg_2,Arg_1,Arg_0):|:1<=Arg_0 && Arg_0+1<=Arg_1
9:evalfreturnin(Arg_0,Arg_1,Arg_2) -> evalfstop(Arg_0,Arg_1,Arg_2):|:Arg_2<=Arg_1 && 0<=Arg_2 && 2<=Arg_1+Arg_2 && 2<=Arg_1
0:evalfstart(Arg_0,Arg_1,Arg_2) -> evalfentryin(Arg_0,Arg_1,Arg_2)

All Bounds

Timebounds

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

Costbounds

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

Sizebounds

7: evalfbb1in->evalfbb3in, Arg_0: Arg_2 {O(n)}
7: evalfbb1in->evalfbb3in, Arg_1: Arg_1 {O(n)}
8: evalfbb2in->evalfbb3in, Arg_0: Arg_2 {O(n)}
8: evalfbb2in->evalfbb3in, Arg_1: Arg_1 {O(n)}
2: evalfbb3in->evalfbbin, Arg_0: Arg_2 {O(n)}
2: evalfbb3in->evalfbbin, Arg_1: Arg_1 {O(n)}
3: evalfbb3in->evalfreturnin, Arg_0: Arg_2 {O(n)}
3: evalfbb3in->evalfreturnin, Arg_1: Arg_1 {O(n)}
3: evalfbb3in->evalfreturnin, Arg_2: 0 {O(1)}
4: evalfbb3in->evalfreturnin, Arg_0: Arg_2 {O(n)}
4: evalfbb3in->evalfreturnin, Arg_1: Arg_1 {O(n)}
5: evalfbbin->evalfbb1in, Arg_0: Arg_2 {O(n)}
5: evalfbbin->evalfbb1in, Arg_1: Arg_1 {O(n)}
6: evalfbbin->evalfbb2in, Arg_0: Arg_2 {O(n)}
6: evalfbbin->evalfbb2in, Arg_1: Arg_1 {O(n)}
1: evalfentryin->evalfbb3in, Arg_0: Arg_2 {O(n)}
1: evalfentryin->evalfbb3in, Arg_1: Arg_1 {O(n)}
1: evalfentryin->evalfbb3in, Arg_2: Arg_0 {O(n)}
9: evalfreturnin->evalfstop, Arg_0: 2*Arg_2 {O(n)}
9: evalfreturnin->evalfstop, Arg_1: 2*Arg_1 {O(n)}
0: evalfstart->evalfentryin, Arg_0: Arg_0 {O(n)}
0: evalfstart->evalfentryin, Arg_1: Arg_1 {O(n)}
0: evalfstart->evalfentryin, Arg_2: Arg_2 {O(n)}