Start: evalfstart
Program_Vars: Arg_0, Arg_1, Arg_2
Temp_Vars:
Locations: evalfbb1in, evalfbb2in, evalfbb3in, evalfbbin, evalfentryin, evalfreturnin, evalfstart, evalfstop
Transitions:
6:evalfbb1in(Arg_0,Arg_1,Arg_2) -> evalfbb3in(Arg_0+1,Arg_1,Arg_2)
7:evalfbb2in(Arg_0,Arg_1,Arg_2) -> evalfbb3in(Arg_0,Arg_1+1,Arg_2)
2:evalfbb3in(Arg_0,Arg_1,Arg_2) -> evalfbbin(Arg_0,Arg_1,Arg_2):|:Arg_1<=99
3:evalfbb3in(Arg_0,Arg_1,Arg_2) -> evalfreturnin(Arg_0,Arg_1,Arg_2):|:100<=Arg_1
4:evalfbbin(Arg_0,Arg_1,Arg_2) -> evalfbb1in(Arg_0,Arg_1,Arg_2):|:Arg_0+1<=Arg_2
5:evalfbbin(Arg_0,Arg_1,Arg_2) -> evalfbb2in(Arg_0,Arg_1,Arg_2):|:Arg_2<=Arg_0
1:evalfentryin(Arg_0,Arg_1,Arg_2) -> evalfbb3in(0,0,Arg_2)
8: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)
Found invariant 100<=Arg_1 && 100<=Arg_0+Arg_1 && 0<=Arg_0 for location evalfreturnin
Found invariant 1<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 for location evalfbb1in
Found invariant Arg_2<=Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 for location evalfbb2in
Found invariant Arg_1<=99 && Arg_1<=99+Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 for location evalfbbin
Found invariant 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 for location evalfbb3in
Found invariant 100<=Arg_1 && 100<=Arg_0+Arg_1 && 0<=Arg_0 for location evalfstop
Start: evalfstart
Program_Vars: Arg_0, Arg_1, Arg_2
Temp_Vars:
Locations: evalfbb1in, evalfbb2in, evalfbb3in, evalfbbin, evalfentryin, evalfreturnin, evalfstart, evalfstop
Transitions:
6:evalfbb1in(Arg_0,Arg_1,Arg_2) -> evalfbb3in(Arg_0+1,Arg_1,Arg_2):|:1<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0
7:evalfbb2in(Arg_0,Arg_1,Arg_2) -> evalfbb3in(Arg_0,Arg_1+1,Arg_2):|:Arg_2<=Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0
2:evalfbb3in(Arg_0,Arg_1,Arg_2) -> evalfbbin(Arg_0,Arg_1,Arg_2):|:0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_1<=99
3:evalfbb3in(Arg_0,Arg_1,Arg_2) -> evalfreturnin(Arg_0,Arg_1,Arg_2):|:0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && 100<=Arg_1
4:evalfbbin(Arg_0,Arg_1,Arg_2) -> evalfbb1in(Arg_0,Arg_1,Arg_2):|:Arg_1<=99 && Arg_1<=99+Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_0+1<=Arg_2
5:evalfbbin(Arg_0,Arg_1,Arg_2) -> evalfbb2in(Arg_0,Arg_1,Arg_2):|:Arg_1<=99 && Arg_1<=99+Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_2<=Arg_0
1:evalfentryin(Arg_0,Arg_1,Arg_2) -> evalfbb3in(0,0,Arg_2)
8:evalfreturnin(Arg_0,Arg_1,Arg_2) -> evalfstop(Arg_0,Arg_1,Arg_2):|:100<=Arg_1 && 100<=Arg_0+Arg_1 && 0<=Arg_0
0:evalfstart(Arg_0,Arg_1,Arg_2) -> evalfentryin(Arg_0,Arg_1,Arg_2)
new bound:
Arg_2 {O(n)}
MPRF:
evalfbb3in [Arg_2-Arg_0 ]
evalfbb1in [Arg_2-Arg_0 ]
evalfbbin [Arg_2-Arg_0 ]
evalfbb2in [Arg_2-Arg_0 ]
new bound:
Arg_2 {O(n)}
MPRF:
evalfbb3in [Arg_2-Arg_0 ]
evalfbb1in [Arg_2-Arg_0-1 ]
evalfbbin [Arg_2-Arg_0 ]
evalfbb2in [Arg_2-Arg_0 ]
new bound:
100 {O(1)}
MPRF:
evalfbb3in [100-Arg_1 ]
evalfbb1in [100-Arg_1 ]
evalfbbin [100-Arg_1 ]
evalfbb2in [99-Arg_1 ]
knowledge_propagation leads to new time bound 100 {O(1)} for transition 7:evalfbb2in(Arg_0,Arg_1,Arg_2) -> evalfbb3in(Arg_0,Arg_1+1,Arg_2):|:Arg_2<=Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0
knowledge_propagation leads to new time bound Arg_2+101 {O(n)} for transition 2:evalfbb3in(Arg_0,Arg_1,Arg_2) -> evalfbbin(Arg_0,Arg_1,Arg_2):|:0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_1<=99
Overall timebound:3*Arg_2+305 {O(n)}
6: evalfbb1in->evalfbb3in: Arg_2 {O(n)}
7: evalfbb2in->evalfbb3in: 100 {O(1)}
2: evalfbb3in->evalfbbin: Arg_2+101 {O(n)}
3: evalfbb3in->evalfreturnin: 1 {O(1)}
4: evalfbbin->evalfbb1in: Arg_2 {O(n)}
5: evalfbbin->evalfbb2in: 100 {O(1)}
1: evalfentryin->evalfbb3in: 1 {O(1)}
8: evalfreturnin->evalfstop: 1 {O(1)}
0: evalfstart->evalfentryin: 1 {O(1)}
Overall costbound: 3*Arg_2+305 {O(n)}
6: evalfbb1in->evalfbb3in: Arg_2 {O(n)}
7: evalfbb2in->evalfbb3in: 100 {O(1)}
2: evalfbb3in->evalfbbin: Arg_2+101 {O(n)}
3: evalfbb3in->evalfreturnin: 1 {O(1)}
4: evalfbbin->evalfbb1in: Arg_2 {O(n)}
5: evalfbbin->evalfbb2in: 100 {O(1)}
1: evalfentryin->evalfbb3in: 1 {O(1)}
8: evalfreturnin->evalfstop: 1 {O(1)}
0: evalfstart->evalfentryin: 1 {O(1)}
6: evalfbb1in->evalfbb3in, Arg_0: Arg_2 {O(n)}
6: evalfbb1in->evalfbb3in, Arg_1: 99 {O(1)}
6: evalfbb1in->evalfbb3in, Arg_2: Arg_2 {O(n)}
7: evalfbb2in->evalfbb3in, Arg_0: Arg_2 {O(n)}
7: evalfbb2in->evalfbb3in, Arg_1: 100 {O(1)}
7: evalfbb2in->evalfbb3in, Arg_2: Arg_2 {O(n)}
2: evalfbb3in->evalfbbin, Arg_0: Arg_2 {O(n)}
2: evalfbb3in->evalfbbin, Arg_1: 99 {O(1)}
2: evalfbb3in->evalfbbin, Arg_2: Arg_2 {O(n)}
3: evalfbb3in->evalfreturnin, Arg_0: 2*Arg_2 {O(n)}
3: evalfbb3in->evalfreturnin, Arg_1: 199 {O(1)}
3: evalfbb3in->evalfreturnin, Arg_2: 2*Arg_2 {O(n)}
4: evalfbbin->evalfbb1in, Arg_0: Arg_2 {O(n)}
4: evalfbbin->evalfbb1in, Arg_1: 99 {O(1)}
4: evalfbbin->evalfbb1in, Arg_2: Arg_2 {O(n)}
5: evalfbbin->evalfbb2in, Arg_0: Arg_2 {O(n)}
5: evalfbbin->evalfbb2in, Arg_1: 99 {O(1)}
5: evalfbbin->evalfbb2in, Arg_2: Arg_2 {O(n)}
1: evalfentryin->evalfbb3in, Arg_0: 0 {O(1)}
1: evalfentryin->evalfbb3in, Arg_1: 0 {O(1)}
1: evalfentryin->evalfbb3in, Arg_2: Arg_2 {O(n)}
8: evalfreturnin->evalfstop, Arg_0: 2*Arg_2 {O(n)}
8: evalfreturnin->evalfstop, Arg_1: 199 {O(1)}
8: evalfreturnin->evalfstop, Arg_2: 2*Arg_2 {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)}