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  • $\begingroup$ Do you say PREcompile because the mrf must be compiled and is otherwise compiled under the hood? (The documentation doesn't mention this.) Your compile idea also works for me. I will see if my actual f[x,y,z] will compile. According to the Compile[ ] documentation, if it does not compile, Mathematica will revert to ordinary Wolfram Language code. Ordinarily this should only affect speed of execution, but in this case I'm afraid it is likely to affect whether the MeshRefinementFunction option works or not. $\endgroup$ Commented Jul 1, 2020 at 18:12
  • $\begingroup$ Thanks. The explicit Compile[ ] works on my real (non-toy) f[x,y,z]. We have achieved what amounts to success: the ability to move on to the next problem. (The next problem is that it takes hours to refine my mesh even though the tolerance is set much higher than I would like.) I am upvoting and accepting this answer. $\endgroup$ Commented Jul 3, 2020 at 13:23