> 
> That looks great!
> 
> As a performance test I tried this:
> 
> (79) -> h2323:=((h2*h3*h2*h3)^2);
> 
> Type: 
> XDistributedPolynomial(OrderedVariableList([x,y,z,w,x1,x2,x3,x4,x5]),Fraction(Integer))
>                            Time: 0.00 (IN) + 2.71 (EV) + 0.00 (OT) = 2.71 sec
> (80) -> dc_fact h2323
> 
>    (80)
>    [- y x + x y, - z y x + z x y + y z x - y x z - x z y + x y z, - y x + x y,
>     - z y x + z x y + y z x - y x z - x z y + x y z, - y x + x y,
>     - z y x + z x y + y z x - y x z - x z y + x y z, - y x + x y,
>     - z y x + z x y + y z x - y x z - x z y + x y z]
> Type: 
> List(XDistributedPolynomial(OrderedVariableList([x,y,z,w,x1,x2,x3,x4,x5]),Fraction(Integer)))
>                        Time: 0.00 (IN) + 315.56 (EV) + 0.13 (OT) = 315.69 sec

I have put a new version at:

http://www.math.uni.wroc.pl/~hebisch/fricas/dcfact4.input

Now, on my machine:

(357) -> dc_fact(h2323)                             

   (357)
   [- y x + x y, - z y x + z x y + y z x - y x z - x z y + x y z, - y x + x y,
    - z y x + z x y + y z x - y x z - x z y + x y z, - y x + x y,
    - z y x + z x y + y z x - y x z - x z y + x y z, - y x + x y,
    - z y x + z x y + y z x - y x z - x z y + x y z]
Type: 
List(XDistributedPolynomial(OrderedVariableList([x,y,z,w,x1,x2,x3,x4,x5]),Fraction(Integer)))
                                                   Time: 1.12 (EV) = 1.12 sec

Code tries to solve linear equations if possible, so in this case
does not need to call 'solve'.  But there are many special cases
so more space where bugs can hide...

-- 
                              Waldek Hebisch

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