Initial Problem

Start: evalfstart
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars: E
Locations: evalfbb1in, evalfbb2in, evalfbb3in, evalfbb4in, evalfbbin, evalfentryin, evalfreturnin, evalfstart, evalfstop
Transitions:
9:evalfbb1in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfbb3in(Arg_0,Arg_1,Arg_2+1,Arg_3)
10:evalfbb2in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfbb3in(Arg_0,Arg_1,0,Arg_3+1)
3:evalfbb3in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfbb4in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3+1<=Arg_1
2:evalfbb3in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfreturnin(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<=Arg_3
4:evalfbb4in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfbbin(Arg_0,Arg_1,Arg_2,Arg_3):|:E+1<=0
5:evalfbb4in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfbbin(Arg_0,Arg_1,Arg_2,Arg_3):|:1<=E
6:evalfbb4in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfreturnin(Arg_0,Arg_1,Arg_2,Arg_3)
7:evalfbbin(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfbb1in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2+1<=Arg_0
8:evalfbbin(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfbb2in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_0<=Arg_2
1:evalfentryin(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfbb3in(Arg_0,Arg_1,0,0):|:1<=Arg_0 && Arg_0+1<=Arg_1
11:evalfreturnin(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfstop(Arg_0,Arg_1,Arg_2,Arg_3)
0:evalfstart(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfentryin(Arg_0,Arg_1,Arg_2,Arg_3)

Preprocessing

Found invariant 0<=Arg_3 && 0<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_2<=Arg_1 && Arg_2<=Arg_0 && 0<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 for location evalfreturnin

Found invariant 0<=Arg_3 && 0<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 2+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 for location evalfbb1in

Found invariant 0<=Arg_3 && 1<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_2<=Arg_1 && Arg_2<=Arg_0 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 for location evalfbb2in

Found invariant 0<=Arg_3 && 0<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_2<=Arg_1 && Arg_2<=Arg_0 && 0<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 for location evalfbbin

Found invariant 0<=Arg_3 && 0<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_2<=Arg_1 && Arg_2<=Arg_0 && 0<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 for location evalfbb3in

Found invariant 0<=Arg_3 && 0<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_2<=Arg_1 && Arg_2<=Arg_0 && 0<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 for location evalfstop

Found invariant 1+Arg_3<=Arg_1 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_2<=Arg_1 && Arg_2<=Arg_0 && 0<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 for location evalfbb4in

Problem after Preprocessing

Start: evalfstart
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars: E
Locations: evalfbb1in, evalfbb2in, evalfbb3in, evalfbb4in, evalfbbin, evalfentryin, evalfreturnin, evalfstart, evalfstop
Transitions:
9:evalfbb1in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfbb3in(Arg_0,Arg_1,Arg_2+1,Arg_3):|:0<=Arg_3 && 0<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 2+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0
10:evalfbb2in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfbb3in(Arg_0,Arg_1,0,Arg_3+1):|:0<=Arg_3 && 1<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_2<=Arg_1 && Arg_2<=Arg_0 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0
3:evalfbb3in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfbb4in(Arg_0,Arg_1,Arg_2,Arg_3):|:0<=Arg_3 && 0<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_2<=Arg_1 && Arg_2<=Arg_0 && 0<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 && Arg_3+1<=Arg_1
2:evalfbb3in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfreturnin(Arg_0,Arg_1,Arg_2,Arg_3):|:0<=Arg_3 && 0<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_2<=Arg_1 && Arg_2<=Arg_0 && 0<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 && Arg_1<=Arg_3
4:evalfbb4in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfbbin(Arg_0,Arg_1,Arg_2,Arg_3):|:1+Arg_3<=Arg_1 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_2<=Arg_1 && Arg_2<=Arg_0 && 0<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 && E+1<=0
5:evalfbb4in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfbbin(Arg_0,Arg_1,Arg_2,Arg_3):|:1+Arg_3<=Arg_1 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_2<=Arg_1 && Arg_2<=Arg_0 && 0<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 && 1<=E
6:evalfbb4in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfreturnin(Arg_0,Arg_1,Arg_2,Arg_3):|:1+Arg_3<=Arg_1 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_2<=Arg_1 && Arg_2<=Arg_0 && 0<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0
7:evalfbbin(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfbb1in(Arg_0,Arg_1,Arg_2,Arg_3):|:0<=Arg_3 && 0<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_2<=Arg_1 && Arg_2<=Arg_0 && 0<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 && Arg_2+1<=Arg_0
8:evalfbbin(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfbb2in(Arg_0,Arg_1,Arg_2,Arg_3):|:0<=Arg_3 && 0<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_2<=Arg_1 && Arg_2<=Arg_0 && 0<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 && Arg_0<=Arg_2
1:evalfentryin(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfbb3in(Arg_0,Arg_1,0,0):|:1<=Arg_0 && Arg_0+1<=Arg_1
11:evalfreturnin(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfstop(Arg_0,Arg_1,Arg_2,Arg_3):|:0<=Arg_3 && 0<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_2<=Arg_1 && Arg_2<=Arg_0 && 0<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0
0:evalfstart(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfentryin(Arg_0,Arg_1,Arg_2,Arg_3)

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_0: Arg_0 {O(n)}
9: evalfbb1in->evalfbb3in, Arg_1: Arg_1 {O(n)}
10: evalfbb2in->evalfbb3in, Arg_0: Arg_0 {O(n)}
10: evalfbb2in->evalfbb3in, Arg_1: Arg_1 {O(n)}
10: evalfbb2in->evalfbb3in, Arg_2: 0 {O(1)}
2: evalfbb3in->evalfreturnin, Arg_0: 2*Arg_0 {O(n)}
2: evalfbb3in->evalfreturnin, Arg_1: 2*Arg_1 {O(n)}
3: evalfbb3in->evalfbb4in, Arg_0: Arg_0 {O(n)}
3: evalfbb3in->evalfbb4in, Arg_1: Arg_1 {O(n)}
4: evalfbb4in->evalfbbin, Arg_0: Arg_0 {O(n)}
4: evalfbb4in->evalfbbin, Arg_1: Arg_1 {O(n)}
5: evalfbb4in->evalfbbin, Arg_0: Arg_0 {O(n)}
5: evalfbb4in->evalfbbin, Arg_1: Arg_1 {O(n)}
6: evalfbb4in->evalfreturnin, Arg_0: Arg_0 {O(n)}
6: evalfbb4in->evalfreturnin, Arg_1: Arg_1 {O(n)}
7: evalfbbin->evalfbb1in, Arg_0: Arg_0 {O(n)}
7: evalfbbin->evalfbb1in, Arg_1: Arg_1 {O(n)}
8: evalfbbin->evalfbb2in, Arg_0: Arg_0 {O(n)}
8: evalfbbin->evalfbb2in, Arg_1: Arg_1 {O(n)}
1: evalfentryin->evalfbb3in, Arg_0: Arg_0 {O(n)}
1: evalfentryin->evalfbb3in, Arg_1: Arg_1 {O(n)}
1: evalfentryin->evalfbb3in, Arg_2: 0 {O(1)}
1: evalfentryin->evalfbb3in, Arg_3: 0 {O(1)}
11: evalfreturnin->evalfstop, Arg_0: 3*Arg_0 {O(n)}
11: evalfreturnin->evalfstop, Arg_1: 3*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)}
0: evalfstart->evalfentryin, Arg_3: Arg_3 {O(n)}