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3 :'+/,y>:%:+/~*:i:y'
Very brutal: computes sqrt(x²+y²) over the [-n,n] range and counts items ≤n. Still very acceptable times for 1000.
Edit: i:y is quite a bit shorter than y-i.>:+:y. Thanks Jesse MillikanJesse Millikan!
i:y
y-i.>:+:y
Edit: i:y is quite a bit shorter than y-i.>:+:y. Thanks Jesse Millikan!
3 :'+/,y>:%:+/~*:y-i.>:+:y'