Here is an experiment to figure out what causes the problem. If this is an
issue of the lazy sequence, then this code should be equally bad:
(defn lazy-seq-fibo
([]
(concat [0 1] (lazy-seq-fibo 0N 1N)))
([a b]
(let [n (+ (mod a 1000) (mod b 1000))]
(lazy-seq
(cons n (lazy-seq-fibo b n))))))
Instead of the real Fibonacci number, we can use the modulus to get the
same result, i.e. instead of a + b, we use (a mod 1000) + (b mod 1000).
Now we get:
user=> (time (rem (nth (lazy-seq-fibo) 1000000) 1000))
"Elapsed time: 201.592 msecs"
875N
Thus it is not the lazy sequence. As mentioned by others, it is the big
integer addition.
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