Initial Problem
Start: evalEx2start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars: E
Locations: evalEx2bb1in, evalEx2bb2in, evalEx2bb3in, evalEx2bbin, evalEx2entryin, evalEx2returnin, evalEx2start, evalEx2stop
Transitions:
9:evalEx2bb1in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalEx2bb2in(Arg_0,Arg_1,Arg_2+1,Arg_3-1)
6:evalEx2bb2in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalEx2bb1in(Arg_0,Arg_1,Arg_2,Arg_3):|:E+1<=0
7:evalEx2bb2in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalEx2bb1in(Arg_0,Arg_1,Arg_2,Arg_3):|:1<=E
8:evalEx2bb2in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalEx2bb3in(Arg_2,Arg_3,Arg_2,Arg_3)
2:evalEx2bb3in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalEx2bbin(Arg_0,Arg_1,Arg_2,Arg_3):|:1<=Arg_1 && 1<=Arg_0
3:evalEx2bb3in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalEx2returnin(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<=0
4:evalEx2bb3in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalEx2returnin(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_0<=0
5:evalEx2bbin(Arg_0,Arg_1,Arg_2,Arg_3) -> evalEx2bb2in(Arg_0,Arg_1,Arg_0-1,Arg_1-1)
1:evalEx2entryin(Arg_0,Arg_1,Arg_2,Arg_3) -> evalEx2bb3in(Arg_1,Arg_0,Arg_2,Arg_3)
10:evalEx2returnin(Arg_0,Arg_1,Arg_2,Arg_3) -> evalEx2stop(Arg_0,Arg_1,Arg_2,Arg_3)
0:evalEx2start(Arg_0,Arg_1,Arg_2,Arg_3) -> evalEx2entryin(Arg_0,Arg_1,Arg_2,Arg_3)
Preprocessing
Found invariant 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location evalEx2bbin
Found invariant 1+Arg_3<=Arg_1 && 0<=Arg_2+Arg_3 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location evalEx2bb2in
Found invariant 1+Arg_3<=Arg_1 && 0<=Arg_2+Arg_3 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location evalEx2bb1in
Problem after Preprocessing
Start: evalEx2start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars: E
Locations: evalEx2bb1in, evalEx2bb2in, evalEx2bb3in, evalEx2bbin, evalEx2entryin, evalEx2returnin, evalEx2start, evalEx2stop
Transitions:
9:evalEx2bb1in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalEx2bb2in(Arg_0,Arg_1,Arg_2+1,Arg_3-1):|:1+Arg_3<=Arg_1 && 0<=Arg_2+Arg_3 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0
6:evalEx2bb2in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalEx2bb1in(Arg_0,Arg_1,Arg_2,Arg_3):|:1+Arg_3<=Arg_1 && 0<=Arg_2+Arg_3 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && E+1<=0
7:evalEx2bb2in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalEx2bb1in(Arg_0,Arg_1,Arg_2,Arg_3):|:1+Arg_3<=Arg_1 && 0<=Arg_2+Arg_3 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && 1<=E
8:evalEx2bb2in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalEx2bb3in(Arg_2,Arg_3,Arg_2,Arg_3):|:1+Arg_3<=Arg_1 && 0<=Arg_2+Arg_3 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0
2:evalEx2bb3in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalEx2bbin(Arg_0,Arg_1,Arg_2,Arg_3):|:1<=Arg_1 && 1<=Arg_0
3:evalEx2bb3in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalEx2returnin(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<=0
4:evalEx2bb3in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalEx2returnin(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_0<=0
5:evalEx2bbin(Arg_0,Arg_1,Arg_2,Arg_3) -> evalEx2bb2in(Arg_0,Arg_1,Arg_0-1,Arg_1-1):|:1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0
1:evalEx2entryin(Arg_0,Arg_1,Arg_2,Arg_3) -> evalEx2bb3in(Arg_1,Arg_0,Arg_2,Arg_3)
10:evalEx2returnin(Arg_0,Arg_1,Arg_2,Arg_3) -> evalEx2stop(Arg_0,Arg_1,Arg_2,Arg_3)
0:evalEx2start(Arg_0,Arg_1,Arg_2,Arg_3) -> evalEx2entryin(Arg_0,Arg_1,Arg_2,Arg_3)
MPRF for transition 8:evalEx2bb2in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalEx2bb3in(Arg_2,Arg_3,Arg_2,Arg_3):|:1+Arg_3<=Arg_1 && 0<=Arg_2+Arg_3 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 of depth 1:
new bound:
Arg_0 {O(n)}
MPRF:
evalEx2bb1in [Arg_1 ]
evalEx2bb3in [Arg_1 ]
evalEx2bbin [Arg_1 ]
evalEx2bb2in [Arg_1 ]
MPRF for transition 2:evalEx2bb3in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalEx2bbin(Arg_0,Arg_1,Arg_2,Arg_3):|:1<=Arg_1 && 1<=Arg_0 of depth 1:
new bound:
Arg_0 {O(n)}
MPRF:
evalEx2bb1in [Arg_1-1 ]
evalEx2bb3in [Arg_1 ]
evalEx2bbin [Arg_1-1 ]
evalEx2bb2in [Arg_1-1 ]
MPRF for transition 5:evalEx2bbin(Arg_0,Arg_1,Arg_2,Arg_3) -> evalEx2bb2in(Arg_0,Arg_1,Arg_0-1,Arg_1-1):|:1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 of depth 1:
new bound:
Arg_0 {O(n)}
MPRF:
evalEx2bb1in [Arg_1-1 ]
evalEx2bb3in [Arg_1 ]
evalEx2bbin [Arg_1 ]
evalEx2bb2in [Arg_1-1 ]
All Bounds
Timebounds
Overall timebound:inf {Infinity}
9: evalEx2bb1in->evalEx2bb2in: inf {Infinity}
6: evalEx2bb2in->evalEx2bb1in: inf {Infinity}
7: evalEx2bb2in->evalEx2bb1in: inf {Infinity}
8: evalEx2bb2in->evalEx2bb3in: Arg_0 {O(n)}
2: evalEx2bb3in->evalEx2bbin: Arg_0 {O(n)}
3: evalEx2bb3in->evalEx2returnin: 1 {O(1)}
4: evalEx2bb3in->evalEx2returnin: 1 {O(1)}
5: evalEx2bbin->evalEx2bb2in: Arg_0 {O(n)}
1: evalEx2entryin->evalEx2bb3in: 1 {O(1)}
10: evalEx2returnin->evalEx2stop: 1 {O(1)}
0: evalEx2start->evalEx2entryin: 1 {O(1)}
Costbounds
Overall costbound: inf {Infinity}
9: evalEx2bb1in->evalEx2bb2in: inf {Infinity}
6: evalEx2bb2in->evalEx2bb1in: inf {Infinity}
7: evalEx2bb2in->evalEx2bb1in: inf {Infinity}
8: evalEx2bb2in->evalEx2bb3in: Arg_0 {O(n)}
2: evalEx2bb3in->evalEx2bbin: Arg_0 {O(n)}
3: evalEx2bb3in->evalEx2returnin: 1 {O(1)}
4: evalEx2bb3in->evalEx2returnin: 1 {O(1)}
5: evalEx2bbin->evalEx2bb2in: Arg_0 {O(n)}
1: evalEx2entryin->evalEx2bb3in: 1 {O(1)}
10: evalEx2returnin->evalEx2stop: 1 {O(1)}
0: evalEx2start->evalEx2entryin: 1 {O(1)}
Sizebounds
1: evalEx2entryin->evalEx2bb3in, Arg_0: Arg_1 {O(n)}
1: evalEx2entryin->evalEx2bb3in, Arg_1: Arg_0 {O(n)}
1: evalEx2entryin->evalEx2bb3in, Arg_2: Arg_2 {O(n)}
1: evalEx2entryin->evalEx2bb3in, Arg_3: Arg_3 {O(n)}
0: evalEx2start->evalEx2entryin, Arg_0: Arg_0 {O(n)}
0: evalEx2start->evalEx2entryin, Arg_1: Arg_1 {O(n)}
0: evalEx2start->evalEx2entryin, Arg_2: Arg_2 {O(n)}
0: evalEx2start->evalEx2entryin, Arg_3: Arg_3 {O(n)}