The horizontal sum of difference intrinsics can all be used in constexpr with suitable handling of the builtins inside VectorExprEvaluator::VisitCallExpr and InterBuiltin.cpp, and testing in the relevent *-builtins.c files.
_mm_sad_epu8 _mm256_sad_epu8 _mm512_sad_epu8 _mm_sad_pu8
_mm_mpsadbw_epu8 _mm256_mpsadbw_epu8
_mm_dbsad_epu8 _mm_mask_dbsad_epu8 _mm_maskz_dbsad_epu8
_mm256_dbsad_epu8 _mm256_mask_dbsad_epu8 _mm256_maskz_dbsad_epu8
_mm512_dbsad_epu8 _mm512_mask_dbsad_epu8 _mm512_maskz_dbsad_epu8
These intrinsics can be tricky to correctly evaluate, so I'd recommend previous knowledge of SSE/AVX instructions is required: VPSADBW is pretty straightfoward, but VMPSADBW / VDBPSADBW is messy.
Care needs to be taken with the signed/unsigned extension of the arguments - we might need to adjust the builtin signatures.