OV - exec - Loop 812

	Loop Id: 812	Module: exec	Source: MultiBsplineRef.hpp:252-270	Coverage: 8.43%

0x4442c4 LD1D	{Z20.D}, P6/Z, [X10, X0,LSL #3]    [4]

0x4442c8 LD1D	{Z1.D}, P6/Z, [X8, X0,LSL #3]    [13]

0x4442cc FMUL	Z19.D, Z27.D, Z20.D

0x4442d0 FMLA	Z19.D, P5/M, Z22.D, Z1.D

0x4442d4 LD1D	{Z18.D}, P6/Z, [X20, X0,LSL #3]    [14]

0x4442d8 LD1D	{Z2.D}, P6/Z, [X9, X0,LSL #3]    [6]

0x4442dc LD1D	{Z3.D}, P6/Z, [X7, X0,LSL #3]    [3]

0x4442e0 FMUL	Z0.D, Z8.D, Z2.D

0x4442e4 FMLA	Z0.D, P5/M, Z25.D, Z3.D

0x4442e8 FADD	Z0.D, Z0.D, Z19.D

0x4442ec FMUL	Z19.D, Z31.D, Z2.D

0x4442f0 FMLA	Z18.D, P5/M, Z17.D, Z0.D

0x4442f4 FMLA	Z19.D, P5/M, Z26.D, Z3.D

0x4442f8 FMUL	Z2.D, Z28.D, Z2.D

0x4442fc FMAD	Z3.D, P5/M, Z29.D, Z2.D

0x444300 FMUL	Z2.D, Z23.D, Z20.D

0x444304 FMUL	Z20.D, Z21.D, Z20.D

0x444308 FMLA	Z2.D, P5/M, Z30.D, Z1.D

0x44430c FMAD	Z1.D, P5/M, Z24.D, Z20.D

0x444310 FADD	Z2.D, Z19.D, Z2.D

0x444314 FADD	Z1.D, Z3.D, Z1.D

0x444318 LD1D	{Z19.D}, P6/Z, [X19, X0,LSL #3]    [9]

0x44431c FMLA	Z19.D, P5/M, Z6.D, Z0.D

0x444320 ST1D	{Z18.D}, P6, [X20, X0,LSL #3]    [14]

0x444324 LD1D	{Z3.D}, P6/Z, [X3, X0,LSL #3]    [5]

0x444328 FMLA	Z3.D, P5/M, Z16.D, Z0.D

0x44432c ST1D	{Z19.D}, P6, [X19, X0,LSL #3]    [9]

0x444330 LD1D	{Z18.D}, P6/Z, [X21, X0,LSL #3]    [10]

0x444334 FMLA	Z18.D, P5/M, Z0.D, Z5.D

0x444338 ST1D	{Z3.D}, P6, [X3, X0,LSL #3]    [5]

0x44433c LD1D	{Z20.D}, P6/Z, [X5, X0,LSL #3]    [1]

0x444340 FMLA	Z20.D, P5/M, Z6.D, Z2.D

0x444344 ST1D	{Z18.D}, P6, [X21, X0,LSL #3]    [10]

0x444348 LD1D	{Z19.D}, P6/Z, [X22, X0,LSL #3]    [8]

0x44434c FMLA	Z19.D, P5/M, Z2.D, Z4.D

0x444350 ST1D	{Z20.D}, P6, [X5, X0,LSL #3]    [1]

0x444354 LD1D	{Z3.D}, P6/Z, [X1, X0,LSL #3]    [11]

0x444358 FMLA	Z3.D, P5/M, Z7.D, Z0.D

0x44435c ST1D	{Z3.D}, P6, [X1, X0,LSL #3]    [11]

0x444360 LD1D	{Z18.D}, P6/Z, [X2, X0,LSL #3]    [12]

0x444364 FMAD	Z2.D, P5/M, Z5.D, Z18.D

0x444368 ST1D	{Z19.D}, P6, [X22, X0,LSL #3]    [8]

0x44436c ST1D	{Z2.D}, P6, [X2, X0,LSL #3]    [12]

0x444370 LD1D	{Z2.D}, P6/Z, [X24, X0,LSL #3]    [2]

0x444374 FMAD	Z1.D, P5/M, Z4.D, Z2.D

0x444378 ST1D	{Z1.D}, P6, [X24, X0,LSL #3]    [2]

0x44437c LD1D	{Z1.D}, P6/Z, [X23, X0,LSL #3]    [7]

0x444380 FMAD	Z0.D, P5/M, Z4.D, Z1.D

0x444384 ST1D	{Z0.D}, P6, [X23, X0,LSL #3]    [7]

0x444388 ADD	X0, X0, X11

0x44438c WHILELO	P6.D, W0, W6

0x444390 B.NE	4442c4

/home/hbollore/qaas/qaas-runs/169-816-7419/intel/miniqmc/build/miniqmc/src/Numerics/Spline2/MultiBsplineRef.hpp: 252 - 270

--------------------------------------------------------------------------------

252:         T coefsv    = coefs[n];

253:         T coefsvzs  = coefszs[n];

254:         T coefsv2zs = coefs2zs[n];

255:         T coefsv3zs = coefs3zs[n];

256:

257:         T sum0 = c[0] * coefsv + c[1] * coefsvzs + c[2] * coefsv2zs + c[3] * coefsv3zs;

258:         T sum1 = dc[0] * coefsv + dc[1] * coefsvzs + dc[2] * coefsv2zs + dc[3] * coefsv3zs;

259:         T sum2 = d2c[0] * coefsv + d2c[1] * coefsvzs + d2c[2] * coefsv2zs + d2c[3] * coefsv3zs;

260:

261:         hxx[n] += pre20 * sum0;

262:         hxy[n] += pre11 * sum0;

263:         hxz[n] += pre10 * sum1;

264:         hyy[n] += pre02 * sum0;

265:         hyz[n] += pre01 * sum1;

266:         hzz[n] += pre00 * sum2;

267:         gx[n] += pre10 * sum0;

268:         gy[n] += pre01 * sum0;

269:         gz[n] += pre00 * sum1;

270:         vals[n] += pre00 * sum0;

Coverage (%)	Name	Source Location	Module
►35.71+	miniqmcreference::einspline_sp[...]	einspline_spo_ref.hpp:206	exec
○	miniqmcreference::DiracDetermi[...]	DiracDeterminantRef.cpp:100	exec
○	qmcplusplus::WaveFunction::rat[...]	WaveFunction.cpp:202	exec
○	main._omp_fn.1	stl_vector.h:1043	exec
○	GOMP_parallel		libomp.so
○	main	miniqmc.cpp:404	exec
○	__libc_start_main		libc-2.31.so
○	_start	miniqmc.cpp:546	exec
►14.29+	miniqmcreference::einspline_sp[...]	einspline_spo_ref.hpp:206	exec
○	miniqmcreference::DiracDetermi[...]	DiracDeterminantRef.cpp:100	exec
○	qmcplusplus::WaveFunction::rat[...]	WaveFunction.cpp:202	exec
○	main._omp_fn.1	stl_vector.h:1043	exec
○	GOMP_parallel		libomp.so
○	main	miniqmc.cpp:404	exec
○	__libc_start_main		libc-2.31.so
○	_start	miniqmc.cpp:546	exec
►14.29+	miniqmcreference::einspline_sp[...]	einspline_spo_ref.hpp:206	exec
○	miniqmcreference::DiracDetermi[...]	DiracDeterminantRef.cpp:100	exec
○	qmcplusplus::WaveFunction::rat[...]	WaveFunction.cpp:202	exec
○	main._omp_fn.1	stl_vector.h:1043	exec
○	GOMP_parallel		libomp.so
○	main	miniqmc.cpp:404	exec
○	__libc_start_main		libc-2.31.so
○	_start	miniqmc.cpp:546	exec
►14.29+	miniqmcreference::einspline_sp[...]	einspline_spo_ref.hpp:206	exec
○	miniqmcreference::DiracDetermi[...]	DiracDeterminantRef.cpp:100	exec
○	qmcplusplus::WaveFunction::rat[...]	WaveFunction.cpp:202	exec
○	main._omp_fn.1	stl_vector.h:1043	exec
○	GOMP_parallel		libomp.so
○	main	miniqmc.cpp:402	exec
○	__libc_start_main		libc-2.31.so
○	_start	miniqmc.cpp:546	exec
►7.14+	miniqmcreference::einspline_sp[...]	einspline_spo_ref.hpp:206	exec
○	miniqmcreference::DiracDetermi[...]	OhmmsVector.h:144	exec
○	miniqmcreference::DiracDetermi[...]	DiracDeterminantRef.cpp:238	exec
○	qmcplusplus::WaveFunction::eva[...]	WaveFunction.cpp:177	exec
○	main._omp_fn.0	miniqmc.cpp:390	exec
○	GOMP_parallel		libomp.so
○	main	stl_vector.h:1043	exec
○	__libc_start_main		libc-2.31.so
○	_start	miniqmc.cpp:546	exec
►7.14+	miniqmcreference::einspline_sp[...]	einspline_spo_ref.hpp:206	exec
○	miniqmcreference::DiracDetermi[...]	DiracDeterminantRef.cpp:100	exec
○	qmcplusplus::WaveFunction::rat[...]	WaveFunction.cpp:202	exec
○	main._omp_fn.1	stl_vector.h:1043	exec
○	GOMP_parallel		libomp.so
○	main	miniqmc.cpp:402	exec
○	__libc_start_main		libc-2.31.so
○	_start	miniqmc.cpp:546	exec
►7.14+	miniqmcreference::einspline_sp[...]	einspline_spo_ref.hpp:206	exec
○	miniqmcreference::DiracDetermi[...]	OhmmsVector.h:144	exec
○	miniqmcreference::DiracDetermi[...]	DiracDeterminantRef.cpp:238	exec
○	qmcplusplus::WaveFunction::eva[...]	WaveFunction.cpp:177	exec
○	main._omp_fn.0	miniqmc.cpp:390	exec
○	GOMP_parallel		libomp.so
○	main	stl_vector.h:1043	exec
○	__libc_start_main		libc-2.31.so
○	_start	miniqmc.cpp:546	exec

Path /

Metric	Value
CQA speedup if no scalar integer	1.00
CQA speedup if FP arith vectorized	1.00
CQA speedup if fully vectorized	1.00
CQA speedup if no inter-iteration dependency	NA
CQA speedup if next bottleneck killed	1.04
Bottlenecks	P6, P7, P8, P9,
Function	void miniqmcreference::MultiBsplineEvalRef::evaluate_vgh(qmcplusplus::bspline_traits::SplineType const, double, double, double, double, double, double, unsigned long)
Source	MultiBsplineRef.hpp:252-270
Source loop unroll info	not unrolled or unrolled with no peel/tail loop
Source loop unroll confidence level	max
Unroll/vectorization loop type	NA
Unroll factor	NA
CQA cycles	12.50
CQA cycles if no scalar integer	12.50
CQA cycles if FP arith vectorized	12.50
CQA cycles if fully vectorized	12.50
Front-end cycles	6.50
DIV/SQRT cycles	0.50
P0 cycles	0.50
P1 cycles	0.50
P2 cycles	0.25
P3 cycles	1.00
P4 cycles	0.25
P5 cycles	12.50
P6 cycles	12.50
P7 cycles	12.50
P8 cycles	12.50
P9 cycles	12.00
P10 cycles	12.00
P11 cycles	0.00
P12 cycles	0.00
P13 cycles	0.00
P14 cycles	0.00
Inter-iter dependencies cycles	1
FE+BE cycles (UFS)	NA
Stall cycles (UFS)	NA
Nb insns	52.00
Nb uops	52.00
Nb loads	NA
Nb stores	10.00
Nb stack references	0.00
FLOP/cycle	13.12
Nb FLOP add-sub	12.00
Nb FLOP mul	24.00
Nb FLOP fma	64.00
Nb FLOP div	0.00
Nb FLOP rcp	0.00
Nb FLOP sqrt	0.00
Nb FLOP rsqrt	0.00
Bytes/cycle	61.44
Bytes prefetched	0.00
Bytes loaded	448.00
Bytes stored	320.00
Stride 0	NA
Stride 1	NA
Stride n	NA
Stride unknown	NA
Stride indirect	NA
Vectorization ratio all	100.00
Vectorization ratio load	100.00
Vectorization ratio store	100.00
Vectorization ratio mul	100.00
Vectorization ratio add_sub	100.00
Vectorization ratio fma	100.00
Vectorization ratio div_sqrt	NA
Vectorization ratio other	NA
Vector-efficiency ratio all	100.00
Vector-efficiency ratio load	100.00
Vector-efficiency ratio store	100.00
Vector-efficiency ratio mul	100.00
Vector-efficiency ratio add_sub	100.00
Vector-efficiency ratio fma	100.00
Vector-efficiency ratio div_sqrt	NA
Vector-efficiency ratio other	NA

Metric	Value
CQA speedup if no scalar integer	1.00
CQA speedup if FP arith vectorized	1.00
CQA speedup if fully vectorized	1.00
CQA speedup if no inter-iteration dependency	NA
CQA speedup if next bottleneck killed	1.04
Bottlenecks	P6, P7, P8, P9,
Function	void miniqmcreference::MultiBsplineEvalRef::evaluate_vgh(qmcplusplus::bspline_traits::SplineType const, double, double, double, double, double, double, unsigned long)
Source	MultiBsplineRef.hpp:252-270
Source loop unroll info	not unrolled or unrolled with no peel/tail loop
Source loop unroll confidence level	max
Unroll/vectorization loop type	NA
Unroll factor	NA
CQA cycles	12.50
CQA cycles if no scalar integer	12.50
CQA cycles if FP arith vectorized	12.50
CQA cycles if fully vectorized	12.50
Front-end cycles	6.50
DIV/SQRT cycles	0.50
P0 cycles	0.50
P1 cycles	0.50
P2 cycles	0.25
P3 cycles	1.00
P4 cycles	0.25
P5 cycles	12.50
P6 cycles	12.50
P7 cycles	12.50
P8 cycles	12.50
P9 cycles	12.00
P10 cycles	12.00
P11 cycles	0.00
P12 cycles	0.00
P13 cycles	0.00
P14 cycles	0.00
Inter-iter dependencies cycles	1
FE+BE cycles (UFS)	NA
Stall cycles (UFS)	NA
Nb insns	52.00
Nb uops	52.00
Nb loads	NA
Nb stores	10.00
Nb stack references	0.00
FLOP/cycle	13.12
Nb FLOP add-sub	12.00
Nb FLOP mul	24.00
Nb FLOP fma	64.00
Nb FLOP div	0.00
Nb FLOP rcp	0.00
Nb FLOP sqrt	0.00
Nb FLOP rsqrt	0.00
Bytes/cycle	61.44
Bytes prefetched	0.00
Bytes loaded	448.00
Bytes stored	320.00
Stride 0	NA
Stride 1	NA
Stride n	NA
Stride unknown	NA
Stride indirect	NA
Vectorization ratio all	100.00
Vectorization ratio load	100.00
Vectorization ratio store	100.00
Vectorization ratio mul	100.00
Vectorization ratio add_sub	100.00
Vectorization ratio fma	100.00
Vectorization ratio div_sqrt	NA
Vectorization ratio other	NA
Vector-efficiency ratio all	100.00
Vector-efficiency ratio load	100.00
Vector-efficiency ratio store	100.00
Vector-efficiency ratio mul	100.00
Vector-efficiency ratio add_sub	100.00
Vector-efficiency ratio fma	100.00
Vector-efficiency ratio div_sqrt	NA
Vector-efficiency ratio other	NA

Path /

Average path: Display a virtual path defined by average values of all real paths

Function	void miniqmcreference::MultiBsplineEvalRef::evaluate_vgh(qmcplusplus::bspline_traits::SplineType const, double, double, double, double, double, double, unsigned long)
Source file and lines	MultiBsplineRef.hpp:252-270
Module	exec

The loop is defined in /home/hbollore/qaas/qaas-runs/169-816-7419/intel/miniqmc/build/miniqmc/src/Numerics/Spline2/MultiBsplineRef.hpp:252-270.

The related source loop is not unrolled or unrolled with no peel/tail loop.

gain
potential
hint
expert

Vectorization

Your loop is fully vectorized, using full register length.

Details

All VPU instructions are used in vector version (process two or more data elements in vector registers).

FMA

Detected 64 FMA (fused multiply-add) operations. Presence of both ADD/SUB and MUL operations.

Workaround

Try to change order in which elements are evaluated (using parentheses) in arithmetic expressions containing both ADD/SUB and MUL operations to enable your compiler to generate FMA instructions wherever possible. For instance a + b*c is a valid FMA (MUL then ADD). However (a+b)* c cannot be translated into an FMA (ADD then MUL).

Matching between your loop (in the source code) and the binary loop

The binary loop is composed of 164 FP arithmetical operations:

76: addition or subtraction (64 inside FMA instructions)
88: multiply (64 inside FMA instructions)

The binary loop is loading 448 bytes. The binary loop is storing 320 bytes.

Arithmetic intensity

Arithmetic intensity is 0.21 FP operations per loaded or stored byte.

General properties

nb instructions	52
loop length	208
nb stack references	0

Front-end

FIT IN UOP CACHE

front end

6.50 cycles

Back-end

	P0	P1	P2	P3	P4	P5	P6	P7	P8	P9	P10	P11	P12	P13	P14
uops	0.50	0.50	0.50	0.25	1.00	0.25	12.50	12.50	5.00	5.00	12.00	12.00	0.00	0.00	0.00
cycles	0.50	0.50	0.50	0.25	1.00	0.25	12.50	12.50	12.50	12.50	12.00	12.00	0.00	0.00	0.00

Cycles executing div or sqrt instructions	NA
Longest recurrence chain latency (RecMII)	1.00

Cycles summary

Front-end	6.50
Data deps.	1.00
Overall L1	12.50

Vectorization ratios

INT

all	100%
load	100%
store	100%
mul	NA (no mul vectorizable/vectorized instructions)
add-sub	NA (no add-sub vectorizable/vectorized instructions)
fma	NA (no fma vectorizable/vectorized instructions)
other	NA (no other vectorizable/vectorized instructions)

all	100%
load	NA (no load vectorizable/vectorized instructions)
store	NA (no store vectorizable/vectorized instructions)
mul	100%
add-sub	100%
fma	100%
div/sqrt	NA (no div/sqrt vectorizable/vectorized instructions)
other	NA (no other vectorizable/vectorized instructions)

INT+FP

all	100%
load	100%
store	100%
mul	100%
add-sub	100%
fma	100%
div/sqrt	NA (no div/sqrt vectorizable/vectorized instructions)
other	NA (no other vectorizable/vectorized instructions)

Cycles and memory resources usage

Assuming all data fit into the L1 cache, each iteration of the binary loop takes 12.50 cycles. At this rate:

37% of peak load performance is reached (35.84 out of 96.00 bytes loaded per cycle (GB/s @ 1GHz))
53% of peak store performance is reached (25.60 out of 48.00 bytes stored per cycle (GB/s @ 1GHz))

ASM code

In the binary file, the address of the loop is: 4442c4

Instruction	Nb FU	P0	P1	P2	P3	P4	P5	P6	P7	P8	P9	P10	P11	Latency	Recip. throughput
LD1D {Z20.D}, P6/Z, [X10, X0,LSL #3]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50
LD1D {Z1.D}, P6/Z, [X8, X0,LSL #3]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50
FMUL Z19.D, Z27.D, Z20.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	3	0.50
FMLA Z19.D, P5/M, Z22.D, Z1.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50
LD1D {Z18.D}, P6/Z, [X20, X0,LSL #3]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50
LD1D {Z2.D}, P6/Z, [X9, X0,LSL #3]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50
LD1D {Z3.D}, P6/Z, [X7, X0,LSL #3]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50
FMUL Z0.D, Z8.D, Z2.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	3	0.50
FMLA Z0.D, P5/M, Z25.D, Z3.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50
FADD Z0.D, Z0.D, Z19.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	2	0.50
FMUL Z19.D, Z31.D, Z2.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	3	0.50
FMLA Z18.D, P5/M, Z17.D, Z0.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50
FMLA Z19.D, P5/M, Z26.D, Z3.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50
FMUL Z2.D, Z28.D, Z2.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	3	0.50
FMAD Z3.D, P5/M, Z29.D, Z2.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50
FMUL Z2.D, Z23.D, Z20.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	3	0.50
FMUL Z20.D, Z21.D, Z20.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	3	0.50
FMLA Z2.D, P5/M, Z30.D, Z1.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50
FMAD Z1.D, P5/M, Z24.D, Z20.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50
FADD Z2.D, Z19.D, Z2.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	2	0.50
FADD Z1.D, Z3.D, Z1.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	2	0.50
LD1D {Z19.D}, P6/Z, [X19, X0,LSL #3]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50
FMLA Z19.D, P5/M, Z6.D, Z0.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50
ST1D {Z18.D}, P6, [X20, X0,LSL #3]	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	2	0.50
LD1D {Z3.D}, P6/Z, [X3, X0,LSL #3]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50
FMLA Z3.D, P5/M, Z16.D, Z0.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50
ST1D {Z19.D}, P6, [X19, X0,LSL #3]	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	2	0.50
LD1D {Z18.D}, P6/Z, [X21, X0,LSL #3]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50
FMLA Z18.D, P5/M, Z0.D, Z5.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50
ST1D {Z3.D}, P6, [X3, X0,LSL #3]	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	2	0.50
LD1D {Z20.D}, P6/Z, [X5, X0,LSL #3]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50
FMLA Z20.D, P5/M, Z6.D, Z2.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50
ST1D {Z18.D}, P6, [X21, X0,LSL #3]	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	2	0.50
LD1D {Z19.D}, P6/Z, [X22, X0,LSL #3]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50
FMLA Z19.D, P5/M, Z2.D, Z4.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50
ST1D {Z20.D}, P6, [X5, X0,LSL #3]	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	2	0.50
LD1D {Z3.D}, P6/Z, [X1, X0,LSL #3]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50
FMLA Z3.D, P5/M, Z7.D, Z0.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50
ST1D {Z3.D}, P6, [X1, X0,LSL #3]	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	2	0.50
LD1D {Z18.D}, P6/Z, [X2, X0,LSL #3]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50
FMAD Z2.D, P5/M, Z5.D, Z18.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50
ST1D {Z19.D}, P6, [X22, X0,LSL #3]	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	2	0.50
ST1D {Z2.D}, P6, [X2, X0,LSL #3]	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	2	0.50
LD1D {Z2.D}, P6/Z, [X24, X0,LSL #3]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50
FMAD Z1.D, P5/M, Z4.D, Z2.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50
ST1D {Z1.D}, P6, [X24, X0,LSL #3]	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	2	0.50
LD1D {Z1.D}, P6/Z, [X23, X0,LSL #3]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50
FMAD Z0.D, P5/M, Z4.D, Z1.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50
ST1D {Z0.D}, P6, [X23, X0,LSL #3]	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	2	0.50
ADD X0, X0, X11	1	0	0	0.25	0.25	0.25	0.25	0	0	0	0	0	0	1	0.25
WHILELO P6.D, W0, W6	1	0	0	0	0	1	0	0	0	0	0	0	0	3	2
B.NE 4442c4 <_ZN16miniqmcreference19MultiBsplineEvalRef12evaluate_vghIdEEvPKN11qmcplusplus14bspline_traitsIT_Lj3EE10SplineTypeES4_S4_S4_PS4_S9_S9_m+0x504>	1	0.50	0.50	0	0	0	0	0	0	0	0	0	0	1	0.50

Function	void miniqmcreference::MultiBsplineEvalRef::evaluate_vgh(qmcplusplus::bspline_traits::SplineType const, double, double, double, double, double, double, unsigned long)
Source file and lines	MultiBsplineRef.hpp:252-270
Module	exec

gain
potential
hint
expert

Vectorization

Your loop is fully vectorized, using full register length.

Details

All VPU instructions are used in vector version (process two or more data elements in vector registers).

FMA

Detected 64 FMA (fused multiply-add) operations. Presence of both ADD/SUB and MUL operations.

Workaround

Matching between your loop (in the source code) and the binary loop

The binary loop is composed of 164 FP arithmetical operations:

76: addition or subtraction (64 inside FMA instructions)
88: multiply (64 inside FMA instructions)

The binary loop is loading 448 bytes. The binary loop is storing 320 bytes.

Arithmetic intensity

Arithmetic intensity is 0.21 FP operations per loaded or stored byte.

General properties

nb instructions	52
loop length	208
nb stack references	0

Front-end

FIT IN UOP CACHE

front end

6.50 cycles

Back-end

	P0	P1	P2	P3	P4	P5	P6	P7	P8	P9	P10	P11	P12	P13	P14
uops	0.50	0.50	0.50	0.25	1.00	0.25	12.50	12.50	5.00	5.00	12.00	12.00	0.00	0.00	0.00
cycles	0.50	0.50	0.50	0.25	1.00	0.25	12.50	12.50	12.50	12.50	12.00	12.00	0.00	0.00	0.00

Cycles executing div or sqrt instructions	NA
Longest recurrence chain latency (RecMII)	1.00

Cycles summary

Front-end	6.50
Data deps.	1.00
Overall L1	12.50

Vectorization ratios

INT

all	100%
load	100%
store	100%
mul	NA (no mul vectorizable/vectorized instructions)
add-sub	NA (no add-sub vectorizable/vectorized instructions)
fma	NA (no fma vectorizable/vectorized instructions)
other	NA (no other vectorizable/vectorized instructions)

all	100%
load	NA (no load vectorizable/vectorized instructions)
store	NA (no store vectorizable/vectorized instructions)
mul	100%
add-sub	100%
fma	100%
div/sqrt	NA (no div/sqrt vectorizable/vectorized instructions)
other	NA (no other vectorizable/vectorized instructions)

INT+FP

all	100%
load	100%
store	100%
mul	100%
add-sub	100%
fma	100%
div/sqrt	NA (no div/sqrt vectorizable/vectorized instructions)
other	NA (no other vectorizable/vectorized instructions)

Cycles and memory resources usage

Assuming all data fit into the L1 cache, each iteration of the binary loop takes 12.50 cycles. At this rate:

37% of peak load performance is reached (35.84 out of 96.00 bytes loaded per cycle (GB/s @ 1GHz))
53% of peak store performance is reached (25.60 out of 48.00 bytes stored per cycle (GB/s @ 1GHz))

ASM code

In the binary file, the address of the loop is: 4442c4

Instruction	Nb FU	P0	P1	P2	P3	P4	P5	P6	P7	P8	P9	P10	P11	Latency	Recip. throughput
LD1D {Z20.D}, P6/Z, [X10, X0,LSL #3]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50
LD1D {Z1.D}, P6/Z, [X8, X0,LSL #3]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50
FMUL Z19.D, Z27.D, Z20.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	3	0.50
FMLA Z19.D, P5/M, Z22.D, Z1.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50
LD1D {Z18.D}, P6/Z, [X20, X0,LSL #3]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50
LD1D {Z2.D}, P6/Z, [X9, X0,LSL #3]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50
LD1D {Z3.D}, P6/Z, [X7, X0,LSL #3]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50
FMUL Z0.D, Z8.D, Z2.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	3	0.50
FMLA Z0.D, P5/M, Z25.D, Z3.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50
FADD Z0.D, Z0.D, Z19.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	2	0.50
FMUL Z19.D, Z31.D, Z2.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	3	0.50
FMLA Z18.D, P5/M, Z17.D, Z0.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50
FMLA Z19.D, P5/M, Z26.D, Z3.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50
FMUL Z2.D, Z28.D, Z2.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	3	0.50
FMAD Z3.D, P5/M, Z29.D, Z2.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50
FMUL Z2.D, Z23.D, Z20.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	3	0.50
FMUL Z20.D, Z21.D, Z20.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	3	0.50
FMLA Z2.D, P5/M, Z30.D, Z1.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50
FMAD Z1.D, P5/M, Z24.D, Z20.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50
FADD Z2.D, Z19.D, Z2.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	2	0.50
FADD Z1.D, Z3.D, Z1.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	2	0.50
LD1D {Z19.D}, P6/Z, [X19, X0,LSL #3]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50
FMLA Z19.D, P5/M, Z6.D, Z0.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50
ST1D {Z18.D}, P6, [X20, X0,LSL #3]	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	2	0.50
LD1D {Z3.D}, P6/Z, [X3, X0,LSL #3]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50
FMLA Z3.D, P5/M, Z16.D, Z0.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50
ST1D {Z19.D}, P6, [X19, X0,LSL #3]	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	2	0.50
LD1D {Z18.D}, P6/Z, [X21, X0,LSL #3]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50
FMLA Z18.D, P5/M, Z0.D, Z5.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50
ST1D {Z3.D}, P6, [X3, X0,LSL #3]	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	2	0.50
LD1D {Z20.D}, P6/Z, [X5, X0,LSL #3]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50
FMLA Z20.D, P5/M, Z6.D, Z2.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50
ST1D {Z18.D}, P6, [X21, X0,LSL #3]	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	2	0.50
LD1D {Z19.D}, P6/Z, [X22, X0,LSL #3]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50
FMLA Z19.D, P5/M, Z2.D, Z4.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50
ST1D {Z20.D}, P6, [X5, X0,LSL #3]	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	2	0.50
LD1D {Z3.D}, P6/Z, [X1, X0,LSL #3]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50
FMLA Z3.D, P5/M, Z7.D, Z0.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50
ST1D {Z3.D}, P6, [X1, X0,LSL #3]	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	2	0.50
LD1D {Z18.D}, P6/Z, [X2, X0,LSL #3]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50
FMAD Z2.D, P5/M, Z5.D, Z18.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50
ST1D {Z19.D}, P6, [X22, X0,LSL #3]	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	2	0.50
ST1D {Z2.D}, P6, [X2, X0,LSL #3]	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	2	0.50
LD1D {Z2.D}, P6/Z, [X24, X0,LSL #3]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50
FMAD Z1.D, P5/M, Z4.D, Z2.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50
ST1D {Z1.D}, P6, [X24, X0,LSL #3]	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	2	0.50
LD1D {Z1.D}, P6/Z, [X23, X0,LSL #3]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50
FMAD Z0.D, P5/M, Z4.D, Z1.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50
ST1D {Z0.D}, P6, [X23, X0,LSL #3]	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	2	0.50
ADD X0, X0, X11	1	0	0	0.25	0.25	0.25	0.25	0	0	0	0	0	0	1	0.25
WHILELO P6.D, W0, W6	1	0	0	0	0	1	0	0	0	0	0	0	0	3	2
B.NE 4442c4 <_ZN16miniqmcreference19MultiBsplineEvalRef12evaluate_vghIdEEvPKN11qmcplusplus14bspline_traitsIT_Lj3EE10SplineTypeES4_S4_S4_PS4_S9_S9_m+0x504>	1	0.50	0.50	0	0	0	0	0	0	0	0	0	0	1	0.50

Report Configuration

Vectorization

Details

FMA

Workaround

Matching between your loop (in the source code) and the binary loop

Arithmetic intensity

General properties

Front-end

Back-end

Cycles summary

Vectorization ratios

Cycles and memory resources usage

ASM code

Vectorization

Details

FMA

Workaround

Matching between your loop (in the source code) and the binary loop

Arithmetic intensity

General properties

Front-end

Back-end

Cycles summary

Vectorization ratios

Cycles and memory resources usage

ASM code