https://gcc.gnu.org/bugzilla/show_bug.cgi?id=77776
--- Comment #17 from Matthias Kretz (Vir) <mkretz at gcc dot gnu.org> --- hypotf(a, b) is implemented using double precision and hypot(a, b) uses 80-bit long double on i386 and x86_64 hypot does what you describe, right? std::experimental::simd benchmarks of hypot(a, b), where simd_abi::scalar uses the <cmath> implementation (i.e. glibc): -march=skylake-avx512 -ffast-math -O3 -lmvec: TYPE Latency Speedup Throughput Speedup [cycles/call] [per value] [cycles/call] [per value] float, simd_abi::scalar 37.5 1 11.5 1 float, 37.6 0.999 10.2 1.13 float, simd_abi::__sse 34 4.42 6.46 7.15 float, simd_abi::__avx 34.1 8.79 6.56 14.1 float, simd_abi::_Avx512<32> 34.3 8.76 6.01 15.4 float, simd_abi::_Avx512<64> 44.1 13.6 12 15.4 float, [[gnu::vector_size(16)]] 58.3 2.57 47.5 0.974 float, [[gnu::vector_size(32)]] 132 2.27 104 0.892 float, [[gnu::vector_size(64)]] 240 2.5 222 0.832 -------------------------------------------------------------------------------------- TYPE Latency Speedup Throughput Speedup [cycles/call] [per value] [cycles/call] [per value] double, simd_abi::scalar 81 1 21.5 1 double, 80.1 1.01 21.3 1.01 double, simd_abi::__sse 39.9 4.06 6.47 6.64 double, simd_abi::__avx 40.2 8.05 12 7.14 double, simd_abi::_Avx512<32> 40.3 8.04 12 7.14 double, simd_abi::_Avx512<64> 56.2 11.5 24 7.14 double, [[gnu::vector_size(16)]] 89.3 1.81 42.5 1.01 double, [[gnu::vector_size(32)]] 150 2.16 110 0.777 double, [[gnu::vector_size(64)]] 297 2.18 242 0.71 -------------------------------------------------------------------------------------- -march=skylake-avx512 -O3 -lmvec: TYPE Latency Speedup Throughput Speedup [cycles/call] [per value] [cycles/call] [per value] float, simd_abi::scalar 37.6 1 10.4 1 float, 37.7 0.998 10.2 1.02 float, simd_abi::__sse 37.6 4 8.83 4.71 float, simd_abi::__avx 37.5 8.01 9.42 8.82 float, simd_abi::_Avx512<64> 47.8 12.6 12 13.8 float, [[gnu::vector_size(16)]] 98.7 1.52 57.2 0.727 float, [[gnu::vector_size(32)]] 151 2 114 0.728 float, [[gnu::vector_size(64)]] 260 2.31 230 0.722 -------------------------------------------------------------------------------------- TYPE Latency Speedup Throughput Speedup [cycles/call] [per value] [cycles/call] [per value] double, simd_abi::scalar 79.7 1 21.7 1 double, 80.1 0.995 21.6 1 double, simd_abi::__sse 44.2 3.6 9.99 4.33 double, simd_abi::__avx 43.6 7.32 12 7.21 double, simd_abi::_Avx512<64> 59.9 10.6 24 7.21 double, [[gnu::vector_size(16)]] 88.3 1.8 44.2 0.98 double, [[gnu::vector_size(32)]] 163 1.96 115 0.75 double, [[gnu::vector_size(64)]] 302 2.11 233 0.742 -------------------------------------------------------------------------------------- I have never ported my SIMD implementation back to scalar and benchmarked it against glibc.