![]() Note that adding Listable attribute to f would have been completely wrong here and would destroy the purpose, leading to mapAt being slow in both cases. ![]() The point is that, while f was not declared Listable, we know that its body is built out of Listable functions, and thus it can be applied to the entire list - but OTOH it can not be auto-compiled by Map. Mathematica 11 builds on Wolfram's recent R&D breakthroughs in a host of areasincluding neural network computation, audio integration and linguistic computing. Options = ,MappedListable->True] //Timing Mathematica 11 provides integrated tools that yet again vastly expand the scope of cross-domain projects that can routinely be done by users at all levels. Mathematica 11.2 September 2017 Reference Version 11.2 expands Mathematica and the Wolfram Language's cutting-edge functionality in audio and image processing, mathematical computation, task handling and machine learningplus much more. My partial excuses are that first, the function below packages things a bit differently and closer to the syntax of MapAt itself, second, it is a bit more general and has an option to use with Listable function, and third, I am reproducing my solution from the past Mathgroup thread for exactly this question, which is more than 2 years old, so I am not plagiarizing :) ![]() I am coming late to the party, and what I will describe will differ very little with what Wizard has, so it is best to consider this answer as a complementary to his solution. ![]()
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