Instruction
VFMADD213SS
Fused multiply-add of the low singles: second times first plus third, into the first; the rest is unchanged.
VFMADD213SS computes op2 × op1 + op3 for the low single and rounds once: the destination is a factor and the addend is the operand that may come from memory. Singles 1 to 3 keep the destination’s values and bits 511:128 are cleared. VFMADD213PS shows the operand roles of the 213 form and VFMADD231SS what the scalar forms change: the upper singles, masking of the low single and a rounding mode on xmm registers. VFMADD213SD is the double form.
Clang’s choice
In our builds at -O2 with -march=x86-64-v3 or -v4, Clang 23 compiles
fmaf(a, b, c) on three arguments, and a * b + c, to vfmadd213ss xmm0, xmm1, xmm2; for globals, ga = ga * gb + gc takes gc from
memory. With -v4, _mm_mask_fmadd_ss, _mm_maskz_fmadd_ss and
_mm_fmadd_round_ss use the same form. GCC 14 uses
VFMADD132SS for these.
Both compilers take this form for Horner’s rule with the coefficients in
memory: p = p * x + c[i] keeps p and x in registers and reads c[i] as
operand 3, a chain of VFMADD213SS that Clang unrolls in full for a
polynomial of degree seven.
Recorded on Zen 5
- Under MXCSR 3FC0H (round down, DAZ),
vfmadd213ss xmm1, xmm2, xmm3computed the largest single × 2 minus the largest single and returned the largest single, 7F7FFFFFH, with no flag set: the product is never rounded, so it cannot overflow on its own. - Under 7F80H,
vfmadd213ss xmm4, xmm4, dword ptr [mem], infinity × infinity minus infinity, returned the default NaN FFC00000H and set IE. vfmadd213ss xmm9{k3}, xmm9, xmm14, {rn-sae}with underflow and precision unmasked (6600H) turned 2^-149 × 2^-149 + (-0) into +0 without a fault.
AMD’s latency spreadsheet for Zen 5 gives the VEX and the EVEX rows alike a latency of 4 cycles, two per cycle on pipes FP0 and FP1.
Forms
| Instruction | Encoding | Requires |
|---|---|---|
VFMADD213SS xmm, xmm, m32
VFMADD213SS_XMMdq_XMMd_MEMd | VEX.LIG.66.0F38.W0 A9 /r | FMA + AVX |
VFMADD213SS xmm, xmm, xmm
VFMADD213SS_XMMdq_XMMd_XMMd | VEX.LIG.66.0F38.W0 A9 /r | FMA + AVX |
VFMADD213SS xmm {k}{z}, xmm, xmm, {er}
VFMADD213SS_XMMf32_MASKmskw_XMMf32_XMMf32_AVX512 | EVEX.LIG.66.0F38.W0 A9 /r | AVX10.1 or AVX512F |
VFMADD213SS xmm {k}{z}, xmm, m32
VFMADD213SS_XMMf32_MASKmskw_XMMf32_MEMf32_AVX512 | EVEX.LIG.66.0F38.W0 A9 /r | AVX10.1 or AVX512F |
Latency and throughput
| Model | xmm, xmm, m32xmm {k}{z}, xmm, m32 | xmm, xmm, xmmxmm {k}{z}, xmm, xmm, {er} |
|---|---|---|
| Haswell, Broadwell | 10 / 0.5p01 | 5 / 0.5p01 |
| Skylake, Skylake-SP, Ice Lake | 9 / 0.5p01 | 4 / 0.5p01 |
| Alder Lake, Sapphire Rapids | 11 / 0.5p01 | 4 / 0.5p01 |
| Lunar Lake | 10 / 2V0 V1 | 4 / 2V0 V1 |
| Piledriver | 10 / 1.5FPFMA FPU0 FPU1 | 5 / 1.5FPFMA FPU0 FPU1 FPU2 FPU3 |
| Zen, Zen 2 | 12 / 0.5FPU0 FPU1 | 5 / 0.5FPU0 FPU1 |
| Zen 3 | 11 / 0.5FP0 FP1 | 4 / 0.5FP0 FP1 |
| Zen 4 | 11 / 1FP0 FP1 | 4 / 11FP0 FP1 |
Data flow
Where the elements of the sources go, element 0 on the right; results that depend on a control value are drawn for an example. How to read.
The write mask k1 applies to the low single: with bit 0 clear it keeps its old value, or is zeroed with {z}.
Result single 0 is computed from single 0 of xmm1, xmm2 and xmm3; singles 3 to 1 are those of xmm1. Result singles 3 to 0: a3, a2, a1, r0.
Operation
What the forms do, in pseudocode that our tests run against results recorded on real processors. How to read.
if k1[0]: # 1 without a write mask
a = xmm1.f32[0]
b = xmm2.f32[0]
c = src3.f32[0]
xmm1.f32[0] = fmadd(b, a, c)
elif zeroing:
xmm1.f32[0] = 0
# else: xmm1.f32[0] keeps its value
# xmm1.d[1] to [3] keep their values
# {er}: the form's rounding, not MXCSR.RC, and no flags
# xmm1 is zeroed from bit 128 upRun on AMD Zen 5 (EPYC 9645): 6 cases.
Operands
| Operand | Kind | Action |
|---|---|---|
VFMADD213SS xmm, xmm, xmm/m32 | ||
xmm | explicit | read, write |
xmm | explicit | read |
xmm/m32 | explicit | read |
VFMADD213SS xmm {k}{z}, xmm, xmm/m32, {er} | ||
xmm | explicit | read, write (masked) |
{k} | explicit | read (write mask) |
xmm | explicit | read |
xmm/m32 | explicit | read |
Flags
None: XED records no flag that the forms test or change.
Exceptions
The exception class is XED's name for the set of exception conditions that a form follows. How to read.
- VEX forms
avx-type-3- EVEX forms
AVX512-E3
Attributes
What else XED records about the forms. How to read.
- All forms
- follows MXCSR
- EVEX forms
- write masking
- EVEX memory forms
- memory fault suppression
Intrinsics
The C intrinsics of Clang 23.1.2 that compile to VFMADD213SS, each with the form it compiles to and the Clang options it needs. The forms come from compiling every intrinsic and decoding the result with Intel XED; all intrinsics A–Z explains the method.
| Intrinsic | Compiles to |
|---|---|
_mm_fmadd_round_ss
__m128 _mm_fmadd_round_ss(__m128 A, __m128 B, __m128 C, const int R) |
|
_mm_fmadd_ss
__m128 _mm_fmadd_ss(__m128 __A, __m128 __B, __m128 __C) |
|
_mm_mask_fmadd_round_ss
__m128 _mm_mask_fmadd_round_ss(__m128 W, __mmask8 U, __m128 A, __m128 B, const int R) |
|
_mm_mask_fmadd_ss
__m128 _mm_mask_fmadd_ss(__m128 __W, __mmask8 __U, __m128 __A, __m128 __B) |
|
_mm_maskz_fmadd_round_ss
__m128 _mm_maskz_fmadd_round_ss(__mmask8 U, __m128 A, __m128 B, __m128 C, const int R) |
|
_mm_maskz_fmadd_ss
__m128 _mm_maskz_fmadd_ss(__mmask8 __U, __m128 __A, __m128 __B, __m128 __C) |
|
CPUID and processors
Each form belongs to an XED ISA set. A form can be used when the processor reports every CPUID bit of one of its ISA set's alternatives.
| ISA set | CPUID | Processors |
|---|---|---|
FMA | FMA + AVX XED and Intel’s SDM differ: XED also asks for the AVX bit, Sources: Intel XED v2026.08.23, datafiles/hswavx/cpuid.xed.txt; Intel 64 and IA-32 Architectures Software Developer's Manual, Volume 2 (325383-093, September 2026), VFMADD132PD/VFMADD213PD/VFMADD231PD and the other FMA instructions: the opcode tables, from page 5-207; Intel 64 and IA-32 Architectures Software Developer's Manual, Volume 1 (253665-093, September 2026), section 14.5.3, Detection of FMA, page 14-24. | Haswell, Broadwell, Skylake, Comet Lake, Cannon Lake, Ice Lake (client), Tiger Lake, Alder Lake, Arrow Lake, Panther Lake, Nova Lake, Skylake-SP, Cascade Lake, Cooper Lake, Ice Lake (server), Sapphire Rapids, Emerald Rapids, Granite Rapids, Diamond Rapids, Sierra Forest, Clearwater Forest, Knights Landing, Knights Mill, Piledriver, Zen, Zen+, Zen 2, Zen 3, Zen 4, Zen 5, Zen 6 |
AVX512F_SCALAR | AVX10.1 or AVX512F | Cannon Lake, Ice Lake (client), Tiger Lake, Nova Lake, Skylake-SP, Cascade Lake, Cooper Lake, Ice Lake (server), Sapphire Rapids, Emerald Rapids, Granite Rapids, Diamond Rapids, Knights Landing, Knights Mill, Zen 4, Zen 5, Zen 6 |
More FMA instructions
- VFMADD132PD
- VFMADD132PS
- VFMADD132SD
- VFMADD132SS
- VFMADD213PD
- VFMADD213PS
- VFMADD213SD
- VFMADD231PD
- VFMADD231PS
- VFMADD231SD
- VFMADD231SS
- VFMADDSUB132PD
- VFMADDSUB132PS
- VFMADDSUB213PD
- VFMADDSUB213PS
- VFMADDSUB231PD
- VFMADDSUB231PS
- VFMSUB132PD
- VFMSUB132PS
- VFMSUB132SD
- VFMSUB132SS
- VFMSUB213PD
- VFMSUB213PS
- VFMSUB213SD
- VFMSUB213SS
- VFMSUB231PD
- VFMSUB231PS
- VFMSUB231SD
- VFMSUB231SS
- VFMSUBADD132PD
- VFMSUBADD132PS
- VFMSUBADD213PD
- VFMSUBADD213PS
- VFMSUBADD231PD
- VFMSUBADD231PS
- VFNMADD132PD
- VFNMADD132PS
- VFNMADD132SD
- VFNMADD132SS
- VFNMADD213PD
More AVX10.1 instructions
- VEXTRACTPS
- VFCMADDCPH
- VFCMADDCSH
- VFCMULCPH
- VFCMULCSH
- VFIXUPIMMPD
- VFIXUPIMMPS
- VFIXUPIMMSD
- VFIXUPIMMSS
- VFMADD132PD
- VFMADD132PH
- VFMADD132PS
- VFMADD132SD
- VFMADD132SH
- VFMADD132SS
- VFMADD213PD
- VFMADD213PH
- VFMADD213PS
- VFMADD213SD
- VFMADD213SH
- VFMADD231PD
- VFMADD231PH
- VFMADD231PS
- VFMADD231SD
- VFMADD231SH
- VFMADD231SS
- VFMADDCPH
- VFMADDCSH
- VFMADDSUB132PD
- VFMADDSUB132PH
- VFMADDSUB132PS
- VFMADDSUB213PD
- VFMADDSUB213PH
- VFMADDSUB213PS
- VFMADDSUB231PD
- VFMADDSUB231PH
- VFMADDSUB231PS
- VFMSUB132PD
- VFMSUB132PH
- VFMSUB132PS
Sources
- Intel XED v2026.08.23 (commit
0bcb6237345c): forms, encodings, operands, flags, exception classes, attributes, ISA sets, CPUID bits and chip model. - The CPU data of x86-64.net: Zen 3 to Zen 6, from GCC’s
-marchfeature sets and AMD’s Processor Programming References, which the page of each processor cites. - Clang's x86 intrinsic headers, LLVM 23.1.2 (commit
85ac56026243): the intrinsics, their signatures and doc comments, and the Clang of that release, which compiled each of them. - LLVM 23.1.2's x86 scheduling models (commit
85ac56026243): the latency, reciprocal throughput and ports of each form, as llvm-mca reports them. - Intel 64 and IA-32 Architectures Software Developer's Manual, Volume 2 (325383-093, September 2026): Volume 2C, page 5-232 (VFMADD132SS/
VFMADD213SS/ VFMADD231SS) - Intel Advanced Vector Extensions 10.2 Architecture Specification, revision 7.0 (361050-007, April 2026)
- Software Optimization Guide for the AMD Zen5 Microarchitecture (58455, rev. 1.00, August 2024), Wayback Machine copy of AMD's ZIP
- Intel 64 and IA-32 Architectures Software Developer's Manual, Volume 1 (253665-093, September 2026)
The tables are derived from Intel XED, Copyright Intel Corporation, licensed under the Apache License 2.0; x86-64.net converted and reformatted them. The intrinsics and their signatures come from Clang and the timings from LLVM's scheduling models, both part of the LLVM Project, licensed under the Apache License 2.0 with LLVM Exceptions. The text is our own.