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arith.adv
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rm arith2.adv
/bin/umodem arith2.adv STOP
Add Z y => y;
Add (S x) y => S (Add x y);
Add (Add x y) z => Add x (Add y z);
Add (Mult x y) z => MultAdd x y z;
Add (MultAdd x y z) w => MultAdd x y (Add z w);
{-
Mult Z y => Z;
Mult (S x) y => Add y (Mult x y);
Mult (Add x y) z => Add (Mult x z) (Mult y z);
Mult (Mult x y) z => Mult x (Mult y z);
-}
Mult x y => MultAdd x y Z;
{- MultAdd x y z := x * y + z -}
MultAdd Z y z => z;
MultAdd (S x) y z => MultAdd x y (Add y z);
MultAdd (Add x y) z w => MultAdd x z (MultAdd y z w);
MultAdd (Mult x y) z w => MultAdd x (Mult y z) w;
MultAdd (MultAdd x y z) w u => MultAdd x (Mult y w) (MultAdd z w u); {- (x * y + z) * w + u => x * y * w + (z * w + u) -}
Compute x => x;
.
STOP
advise run arith2.adv arith.tests
advise arith arith2.adv
score=160
---
rm arith2.adv
/bin/umodem arith2.adv STOP
Add Z y => y;
Add (S x) y => S (Add x y);
Add (Add x y) z => Add x (Add y z);
Add (Mult x y) z => MultAdd x y z;
Add (MultAdd x y z) w => MultAdd x y (Add z w);
{-
Mult Z y => Z;
Mult (S x) y => Add y (Mult x y);
Mult (Add x y) z => Add (Mult x z) (Mult y z);
Mult (Mult x y) z => Mult x (Mult y z);
-}
Mult x y => MultAdd x y Z;
{- MultAdd x y z := x * y + z -}
MultAdd Z y z => z;
MultAdd (S x) y z => MultAdd x y (Add y z);
MultAdd (Add x y) z w => MultAdd x z (MultAdd y z w);
MultAdd (Mult x y) z w => MultAdd x (MultAdd y z Z) w;
MultAdd (MultAdd x y z) w u => MultAdd x (MultAdd y w Z) (MultAdd z w u); {- (x * y + z) * w + u => x * y * w + (z * w + u) -}
Compute x => x;
.
STOP
advise arith arith2.adv
---
rm arith2.adv
/bin/umodem arith2.adv STOP
Add Z y => y;
Add (S x) y => S (Add x y);
Add (Add x y) z => Add x (Add y z);
Add (Mult x y) z => MultAdd z x y;
Add (MultAdd z x y) w => MultAdd (Add z w) x y;
{-
Mult Z y => Z;
Mult (S x) y => Add y (Mult x y);
Mult (Add x y) z => Add (Mult x z) (Mult y z);
Mult (Mult x y) z => Mult x (Mult y z);
-}
Mult x y => MultAdd Z x y;
{- MultAdd z x y := x * y + z -}
MultAdd z Z y => z;
MultAdd z (S x) y => MultAdd (Add y z) x y;
MultAdd w (Add x y) z => MultAdd (MultAdd w y z) x z;
MultAdd w (Mult x y) z => MultAdd w x (Mult y z);
MultAdd u (MultAdd z x y) w => MultAdd (MultAdd u z w) x (Mult y w); {- (x * y + z) * w + u => x * y * w + (z * w + u) -}
Compute x => x;
.
STOP
advise arith arith2.adv
---
rm arith2.adv
/bin/umodem arith2.adv STOP
Do Z => Done Z;
Do (S x) => S (Do x);
Do (Add x y) => Add x (Do y);
Do (Mult x y) => Mult x (Do y);
S (Done x) => Done (S x);
Add x (Done y) => Add (Do x) y;
Mult x (Done y) => Mult (Do x) y;
Add (Done Z) y => Do y;
Add (Done (S x)) y => S (Do (Add x y));
Mult (Done Z) y => Done Z;
Mult (Done (S x)) y => Do (Add y (Mult x y));
Compute x => Get (Do x);
Get (Done x) => x;
.
STOP
advise run arith2.adv arith.tests
advise arith arith2.adv
score=163
---
rm arith2.adv
/bin/umodem arith2.adv STOP
Compute Z => Computed Z;
Compute (S x) => S (Compute x);
Compute (Add x y) => Add x (Compute y);
Compute (Mult x y) => Mult x (Compute y);
S (Computed x) => Computed (S x);
Add x (Computed y) => Add (Compute x) y;
Mult x (Computed y) => Mult (Compute x) y;
Add (Computed Z) y => Compute y;
Add (Computed (S x)) y => S (Compute (Add x y));
Mult (Computed Z) y => Computed Z;
Mult (Computed (S x)) y => Compute (Add y (Mult x y));
Computed x => x;
.
STOP
advise run arith2.adv arith.tests
advise arith arith2.adv
score=164
---
rm arith2.adv
/bin/umodem arith2.adv STOP
Compute Z => Computed Z;
Compute (S x) => S (Compute x);
Compute (Add x y) => Add (Compute x) y;
Compute (Mult x y) => Mult (Compute x) y;
S (Computed x) => Computed (S x);
Add (Computed Z) y => Compute y;
Add (Computed (S x)) y => S (Compute (Add x y));
Mult (Computed Z) y => Computed Z;
Mult (Computed (S x)) y => Compute (Add y (Mult x y));
Computed x => x;
.
STOP
advise run arith2.adv arith.tests
advise arith arith2.adv
score=166
---
rm arith2.adv
/bin/umodem arith2.adv STOP
Compute (Add x y) => Add (Compute x) y;
Compute (Mult x y) => Mult (Compute x) y;
Compute x => Computed x; {- Z | S x' -}
S (Computed x) => Computed (S x);
Add (Computed Z) y => Compute y;
Add (Computed (S x)) y => S (Compute (Add x y));
Mult (Computed Z) y => Computed Z;
Mult (Computed (S x)) y => Compute (Add y (Mult x y));
Computed x => x;
.
STOP
advise run arith2.adv arith.tests
advise arith arith2.adv
score=166