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Original Raw

R timings

Jan de Leeuw 
This  is  without  an  extra  optimizations. We  compare  a dual 
1.25Ghz  G4
with  a dual  2.0  Ghz  G5. Both  run  R-1.8.0beta  and  OS  X 10.3B74. 
The
G4  has  2GB  of  RAM, the  G5  has  only 512MB (at the moment).

sink("timings.lis")
hilbert<-function(n) 1/(outer(seq(n),seq(n),"+")-1)
print("hilbert n=500")
print(system.time(eigen(hilbert(500))))
print(system.time(eigen(hilbert(500))))
print(system.time(eigen(hilbert(500))))
print("hilbert n=1000")
print(system.time(eigen(hilbert(1000))))
print(system.time(eigen(hilbert(1000))))
print(system.time(eigen(hilbert(1000))))
print("sort n=6")
print(system.time(sort(rnorm(10^6))))
print(system.time(sort(rnorm(10^6))))
print(system.time(sort(rnorm(10^6))))
print("sort n=7")
print(system.time(sort(rnorm(10^7))))
print(system.time(sort(rnorm(10^7))))
print(system.time(sort(rnorm(10^7))))

Average time for these 4 tasks

          G4    G5
H500    1.2   0.55
H1000   8.0   4.0
S6      2.1   1.2
S7     26.4  14.3