Created
February 22, 2013 17:05
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I ♥ associativity!
comp is associative and optimized up to arity 3, let's leverage it!
(I ♥ commutativity more, though)
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(defn- balance [n f & args] | |
(if (> (count args) n) | |
(apply balance n f (map #(apply f %) (partition-all n args))) | |
(apply f args))) | |
;; optimization kicks in for N >= 4 | |
=> (doseq [N (range 1 16)] | |
(let [++ (apply comp (repeat N inc)) | |
b++ (apply balance 3 comp (repeat N inc))] | |
(println "N=" N) | |
(time (dotimes [n (/ 1e7 N)] (++ n))) | |
(time (dotimes [n (/ 1e7 N)] (b++ n))))) | |
N= 1 | |
"Elapsed time: 314.49 msecs" | |
"Elapsed time: 283.901 msecs" | |
N= 2 | |
"Elapsed time: 523.819 msecs" | |
"Elapsed time: 510.677 msecs" | |
N= 3 | |
"Elapsed time: 389.977 msecs" | |
"Elapsed time: 408.597 msecs" | |
N= 4 | |
"Elapsed time: 1537.677 msecs" | |
"Elapsed time: 492.707 msecs" | |
N= 5 | |
"Elapsed time: 1225.063 msecs" | |
"Elapsed time: 503.592 msecs" | |
N= 6 | |
"Elapsed time: 1245.603 msecs" | |
"Elapsed time: 492.784 msecs" | |
N= 7 | |
"Elapsed time: 1087.398 msecs" | |
"Elapsed time: 370.495 msecs" | |
N= 8 | |
"Elapsed time: 1295.758 msecs" | |
"Elapsed time: 434.075 msecs" | |
N= 9 | |
"Elapsed time: 1084.12 msecs" | |
"Elapsed time: 334.002 msecs" | |
N= 10 | |
"Elapsed time: 979.564 msecs" | |
"Elapsed time: 424.21 msecs" | |
N= 11 | |
"Elapsed time: 965.945 msecs" | |
"Elapsed time: 346.99 msecs" | |
N= 12 | |
"Elapsed time: 1100.682 msecs" | |
"Elapsed time: 347.335 msecs" | |
N= 13 | |
"Elapsed time: 933.35 msecs" | |
"Elapsed time: 353.287 msecs" | |
N= 14 | |
"Elapsed time: 897.669 msecs" | |
"Elapsed time: 366.5 msecs" | |
N= 15 | |
"Elapsed time: 866.187 msecs" | |
"Elapsed time: 373.318 msecs" | |
nil | |
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