I've found that MSVC's copy of zmmintrin.h defines functions for computing the Inverse Cube Root of an __m512 32-bit float vector and a __m512d double vector
_mm512_invcbrt_ps();
_mm512_invcbrt_pd();
However, these functions appear nowhere in the Intel Intrinsics Guide: https://software.intel.com/sites/landingpage/IntrinsicsGuide/
or in Intel's more detailed development guide: https://software.intel.com/content/www/us/en/develop/documentation/cpp-compiler-developer-guide-and-reference/top/compiler-reference/intrinsics/intrinsics-for-intel-advanced-vector-extensions-512-intel-avx-512-instructions/intrinsics-for-arithmetic-operations-1/intrinsics-for-short-vector-math-library-svml-operations/intrinsics-for-root-function-operations-512-bit.html
They don't seem to be listed on Microsoft's website though, see: https://learn.microsoft.com/en-us/cpp/intrinsics/compiler-intrinsics?view=msvc-160
I know there are Sequence Intrinsics for the Inverse Square Root:
_mm512_invsqrt_ps();
_mm512_invsqrt_pd();
and I'm aware that there are Inverse Cube Root Sequence Intrinsics for AVX:
_mm256_invcbrt_ps();
_mm256_invcbrt_pd();
So are _mm512_invcbrt_ps(); and _mm512_invcbrt_pd(); Microsoft Specific or did Intel literally forget to document one of their intrinsics ?!?