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  • $\begingroup$ Well, the main thing that I found interesting about a method I proposed is that it leads to automatic garbage-collection of results which are no longer needed - which is quite important in practice. The other thing which is quite hard to control in the standard approach you describe here, is a number of memoized results - in case when such control is desired, while in my suggested approach this is relatively easy. $\endgroup$ Commented Jun 12, 2015 at 23:11
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    $\begingroup$ As to the standard memoization idiom you have described here, there have been multiple discussions of the standard memoization here before, for example here, or here (section called "Memoization / caching"). So, when answering, I was assuming that this standard idiom is well-known to the OP, who actually knew about that but wanted to use pure functions (Function). $\endgroup$ Commented Jun 12, 2015 at 23:14
  • $\begingroup$ @LeonidShifrin: I saw that, but the OP's use of a named function, "f", was incompatible with the (Wolfram) definition of pure function that they mentioned. This suggested some disconnect in terminology. $\endgroup$ Commented Jun 12, 2015 at 23:31
  • $\begingroup$ Well, my guess is that the OP simply didn't know how to formulate better what she wanted, and used that f as a kind of hint to herself and the readers of the question. $\endgroup$ Commented Jun 12, 2015 at 23:33
  • $\begingroup$ @LeonidShifrin: And I provided the alternate choice: that she wanted a (CS) pure function named "f". Now she has a full set of solutions. $\endgroup$ Commented Jun 12, 2015 at 23:36