Calculation dependencies in views

I have a table with, say, a dozen fields and I want to end up with a view with
around 50 fields, calculated from the original dozen.

So it would be something like this:

CREATE VIEW final AS   SELECT       x, y, z,       (x + y)         as a,       (y + z)         as b,       (x + y) * z
  as c,       (y + z) * x     as d,       (x + y) * z + x as e,       (y + z) * x + x as f   FROM my_table;
 

except my expressions are longer and more complicated.  However, my expressions
do have similar dependencies and redundancies.

My question is what is a good way of dealing with this?  I was going to do
something like

CREATE VIEW one AS   SELECTid,       (x + y)         as a,       (y + z)         as b,  FROM my_table;

CREATE VIEW two AS   SELECTm.id,       o.a * m.z     as c,       o.b * m.x     as d,  FROM my_table m, one o  WHERE
m.id= o.id;
 

etc.  but I'll end up with a lot of levels and joins going this route which I
expect will be pretty slow.

Can someone recommend anything to me?  Should I be approaching this from a
completely different angle i.e other than views?

I'm pretty new at this so any pointers will be appreciated.

--Rick