Hi all,

 another performance question ... this time about arithmetic on vectors :-) 
Let's say I have two vectors of numbers (specifically, things with type 
clojure.lang.PersistentVector, containing things of type java.lang.Double). 
And let's say I want to sum the differences [1] between corresponding 
elements of the lists i.e. (a1 - b1) + (a2 - b2) + ...

Any suggestions on how to do this quickly. What I find is that if I use the 
'obvious' high-level construction:

(reduce + (mapv #(- %1 %2) a b))


then it goes pretty slowly. On my laptop I measure about 180us for 1000 
element lists.

If I try using `loop`:

(loop [sum 0.0 i 0]  
 (if (< i 1000)
   (recur (+ sum (- (nth a i) (nth b i))) (inc i))
   sum))

it does better, at about 100us.

But these are still a ways off what I might think is the best that could be 
done. If I run a similar computation in Java, it takes about 8us, which 
ties up with what my gut feeling would be.

So ... does anyone have any advice on closing the gap here?

Thanks in advance, again,


Jony


[1] Actually I want to sum the absolute differences, but that brings in 
java interop which I want to leave out lest it confuse matters.

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