#6482: multivariate polynomial substitution has a design flaw
---------------------------------+------------------------------------------
 Reporter:  was                  |       Owner:  malb      
     Type:  defect               |      Status:  new       
 Priority:  critical             |   Milestone:  sage-4.1.1
Component:  commutative algebra  |    Keywords:            
 Reviewer:                       |      Author:            
   Merged:                       |  
---------------------------------+------------------------------------------

Comment(by malb):

 the main use-case for which I wrote it is (which **must** be fast):

 {{{
 sage: R.<x,y>=QQ[]
 sage: g=x+y
 sage: %timeit g.subs({x:2,y:1})
 10000 loops, best of 3: 62.9 µs per loop
 }}}

 The performance for elements in R is:

 {{{
 sage: %timeit g.subs({x:x+1,y:x*y})
 10000 loops, best of 3: 153 µs per loop
 }}}

 However, to my surprise {{{hom}}} is faster:

 {{{
 sage: R.<x,y>=QQ[]
 sage: phi = R.hom([x+1,x*y])
 sage: g=x+y
 sage: %timeit phi(g)
 10000 loops, best of 3: 45.8 µs per loop
 }}}


 Is it because it caches or is really just better code?

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/6482#comment:1>
Sage <http://sagemath.org/>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

--~--~---------~--~----~------------~-------~--~----~
You received this message because you are subscribed to the Google Groups 
"sage-trac" group.
To post to this group, send email to [email protected]
To unsubscribe from this group, send email to 
[email protected]
For more options, visit this group at 
http://groups.google.com/group/sage-trac?hl=en
-~----------~----~----~----~------~----~------~--~---

Reply via email to