VRCP14SD—Compute Approximate Reciprocal of Scalar Float64 Value






Instruction / En bit Mode Support Feature Flag
EVEX.LLIG.66.0F38.W1 4D /r VRCP14SD xmm1 {k1}{z}, xmm2, xmm3/m64 A V/V AVX512F Computes the approximate reciprocal of the scalar double-precision floating-point value in xmm3/m64 and stores the result in xmm1 using writemask k1. Also, upper double-precision floating-point value (bits[127:64]) from xmm2 is copied to xmm1[127:64].

Instruction Operand Encoding

Op/En Tuple Type Operand 1 Operand 2 Operand 3 Operand 4
A Tuple1 Scalar ModRM:reg (w) EVEX.vvvv (r) ModRM:r/m (r) NA


This instruction performs a SIMD computation of the approximate reciprocal of the low double-precision floating-point value in the second source operand (the third operand) stores the result in the low quadword element of the destination operand (the first operand) according to the writemask k1. Bits (127:64) of the XMM register destina-tion are copied from corresponding bits in the first source operand (the second operand). The maximum relative error for this approximation is less than 2-14. The source operand can be an XMM register or a 64-bit memory loca-tion. The destination operand is an XMM register.

The VRCP14SD instruction is not affected by the rounding control bits in the MXCSR register. When a source value is a 0.0, an ∞ with the sign of the source value is returned. A denormal source value will be treated as zero only in case of DAZ bit set in MXCSR. Otherwise it is treated correctly (i.e. not as a 0.0). Underflow results are flushed to zero only in case of FTZ bit set in MXCSR. Otherwise it will be treated correctly (i.e. correct underflow result is written) with the sign of the operand. When a source value is a SNaN or QNaN, the SNaN is converted to a QNaN or the source QNaN is returned. See Table 5-13 for special-case input values.

MXCSR exception flags are not affected by this instruction and floating-point exceptions are not reported.

A numerically exact implementation of VRCP14xx can be found at:



VRCP14SD (EVEX version)

IF k1[0] OR *no writemask*

THEN DEST[63:0] := APPROXIMATE(1.0/SRC2[63:0]);


IF *merging-masking*

; merging-masking

THEN *DEST[63:0] remains unchanged*


; zeroing-masking

DEST[63:0] := 0



DEST[127:64] := SRC1[127:64]

DEST[MAXVL-1:128] := 0

Intel C/C++ Compiler Intrinsic Equivalent

VRCP14SD __m128d _mm_rcp14_sd( __m128d a, __m128d b);

VRCP14SD __m128d _mm_mask_rcp14_sd(__m128d s, __mmask8 k, __m128d a, __m128d b);

VRCP14SD __m128d _mm_maskz_rcp14_sd( __mmask8 k, __m128d a, __m128d b);

SIMD Floating-Point Exceptions


Other Exceptions

See Table 2-51, “Type E5 Class Exception Conditions”.