Re: Re: GroebnerBasis

*To*: mathgroup at smc.vnet.net*Subject*: [mg5774] Re: [mg5762] Re: GroebnerBasis*From*: "Benjamin Tubb" <brtubb at cybertron.com>*Date*: Sat, 18 Jan 1997 14:58:30 -0500*Sender*: owner-wri-mathgroup at wolfram.com

On Tuesday, January 14, 1997 9:42 AM, you wrote: >I ran all these on the same machine, a pentium pro (200mz). You might be interested to compare (as a benchmark) your timing results with mine on a non-Pro 200MHz Pentium, and if RAM affected the results, I'm using 64MB RAM, with a 512K cache. > In[2]:= GroebnerBasis[{x^5+y^4+z^3-1, x^3+y^2+z^2-1},{x,y,z}];//Timing > Out[2]= {0.12 Second, Null} My results was {2.69 Second, Null}. > In[3]:= $Version > Out[3]= Linux 3.0 (October 4, 1996) In case the OS is significantly affecting the results (and apparently it is), mine is (actually running Win95): Microsoft Windows 3.0 (October 6, 1996) > In[6]:= GroebnerBasis[{8*x^2 > -2*x*y-6*x*z+3*x+3*y^2-7*y*z+10*y+10*z^2-8*z-4, > 10*x^2-2*x*y+6*x*z-6*x+9*y^2-y*z-4*y-2*z^2+5*z-9, > 5*x^2+8*x*y+4*x*z+8*x+9*y^2-6*y*z+2*y-z^2-7*z+5}, {x,y,z}]; // > Timing > Out[6]= {0.1 Second, Null} My result was {1.1 Second,Null}. > In[8]:= GroebnerBasis[{x^31 - x^6 - x - y, x^8 - z, x^10 - t}, > {x,y,z,t}]; // Timing > Out[8]= {0.32 Second, Null} My result was {3.13,Null}. > In[9]:= GroebnerBasis[{45*p+35*s-165*b-36, 35*p+40*z+25*t-27*s, > 15*w+25*p*s+30*z-18*t-165*b^2, -9*w+15*p*t+20*z*s, > w*p+2*z*t-11*b^3, 99*w-11*s*b+3*b^2}, {b,t,s,w,p,z}]; // Timing > Out[9]= {8.05 Second, Null} > My result was {77.77 Second,Null}!!! I knew I should have "opted" for the Pentium Pro instead ... <g>. Benjamin R. Tubb brtubb at cybertron.com http://www.cybertron.com/~brtubb