OV - exec - Loop 1297

	Loop Id: 1297	Module: exec	Source: ParticleBConds3DSoa.h:234-255	Coverage: 1.81%

0x452b80 SBFM	X18, X17, #61, #31

0x452b84 LDUR	Q17, [X0, #72]    [7]

0x452b88 LDP	Q19, Q18, [X0, #80]    [7]

0x452b8c ADD	W17, W17, #2

0x452b90 SUBS	W16, W16, #2

0x452b94 LDR	Q6, [X8, X18]    [1]

0x452b98 LDR	Q7, [X9, X18]    [2]

0x452b9c LDR	Q16, [X10, X18]    [3]

0x452ba0 FSUB	V6.2D, V6.2D, V3.2D

0x452ba4 FSUB	V7.2D, V7.2D, V4.2D

0x452ba8 FSUB	V16.2D, V16.2D, V5.2D

0x452bac FMUL	V17.2D, V6.2D, V17.D[0]

0x452bb0 FMUL	V18.2D, V6.2D, V18.D[0]

0x452bb4 FMLA	V17.2D, V7.2D, V19.D[0]

0x452bb8 LDUR	Q19, [X0, #104]    [7]

0x452bbc FMLA	V18.2D, V7.2D, V19.D[0]

0x452bc0 LDUR	Q19, [X0, #88]    [7]

0x452bc4 FMLA	V17.2D, V16.2D, V19.D[0]

0x452bc8 LDR	Q19, [X0, #112]    [7]

0x452bcc FMLA	V18.2D, V16.2D, V19.D[0]

0x452bd0 LDUR	Q19, [X0, #120]    [7]

0x452bd4 FMUL	V6.2D, V6.2D, V19.D[0]

0x452bd8 LDR	Q19, [X0, #128]    [7]

0x452bdc FMLA	V6.2D, V7.2D, V19.D[0]

0x452be0 LDR	D7, [X0, #136]    [7]

0x452be4 FMLA	V6.2D, V16.2D, V7.D[0]

0x452be8 FRINTA	V7.2D, V17.2D

0x452bec FRINTA	V16.2D, V18.2D

0x452bf0 FSUB	V7.2D, V17.2D, V7.2D

0x452bf4 FSUB	V16.2D, V18.2D, V16.2D

0x452bf8 LDUR	Q18, [X0, #8]    [7]

0x452bfc FRINTA	V17.2D, V6.2D

0x452c00 FSUB	V6.2D, V6.2D, V17.2D

0x452c04 LDR	Q17, [X0]    [7]

0x452c08 FMUL	V17.2D, V7.2D, V17.D[0]

0x452c0c FMLA	V17.2D, V16.2D, V18.D[0]

0x452c10 LDR	Q18, [X0, #16]    [7]

0x452c14 FMLA	V17.2D, V6.2D, V18.D[0]

0x452c18 STR	Q17, [X11, X18]    [4]

0x452c1c LDUR	Q17, [X0, #24]    [7]

0x452c20 LDR	Q18, [X0, #32]    [7]

0x452c24 FMUL	V17.2D, V7.2D, V17.D[0]

0x452c28 FMLA	V17.2D, V16.2D, V18.D[0]

0x452c2c LDUR	Q18, [X0, #40]    [7]

0x452c30 FMLA	V17.2D, V6.2D, V18.D[0]

0x452c34 STR	Q17, [X12, X18]    [5]

0x452c38 LDR	Q17, [X0, #48]    [7]

0x452c3c FMUL	V7.2D, V7.2D, V17.D[0]

0x452c40 LDUR	Q17, [X0, #56]    [7]

0x452c44 FMLA	V7.2D, V16.2D, V17.D[0]

0x452c48 LDR	Q16, [X0, #64]    [7]

0x452c4c FMLA	V7.2D, V6.2D, V16.D[0]

0x452c50 STR	Q7, [X13, X18]    [6]

0x452c54 LDR	Q6, [X11, X18]    [4]

0x452c58 LDR	Q16, [X12, X18]    [5]

0x452c5c FMUL	V6.2D, V6.2D, V6.2D

0x452c60 FMLA	V6.2D, V7.2D, V7.2D

0x452c64 FMLA	V6.2D, V16.2D, V16.2D

0x452c68 FSQRT	V6.2D, V6.2D

0x452c6c STR	Q6, [X3, X18]    [8]

0x452c70 B.NE	452b80

/home/hbollore/qaas/qaas-runs/174-135-6342/intel/miniqmc/build/miniqmc/src/Particle/Lattice/ParticleBConds3DSoa.h: 234 - 255

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

234: #pragma omp simd aligned(temp_r, px, py, pz, dx, dy, dz: QMC_SIMD_ALIGNMENT)

235:     for (int iat = first; iat < last; ++iat)

236:     {

237:       T displ_0 = px[iat] - x0;

238:       T displ_1 = py[iat] - y0;

239:       T displ_2 = pz[iat] - z0;

240:

241:       T ar_0 = displ_0 * g00 + displ_1 * g10 + displ_2 * g20;

242:       T ar_1 = displ_0 * g01 + displ_1 * g11 + displ_2 * g21;

243:       T ar_2 = displ_0 * g02 + displ_1 * g12 + displ_2 * g22;

244:

245:       //put them in the box

246:       ar_0 -= round(ar_0);

247:       ar_1 -= round(ar_1);

248:       ar_2 -= round(ar_2);

249:

250:       //unit2cart

251:       dx[iat] = ar_0 * r00 + ar_1 * r10 + ar_2 * r20;

252:       dy[iat] = ar_0 * r01 + ar_1 * r11 + ar_2 * r21;

253:       dz[iat] = ar_0 * r02 + ar_1 * r12 + ar_2 * r22;

254:

255:       temp_r[iat] = std::sqrt(dx[iat] * dx[iat] + dy[iat] * dy[iat] + dz[iat] * dz[iat]);

Coverage (%)	Name	Source Location	Module
►95.76+	qmcplusplus::ParticleSet::comp[...]	stl_vector.h:993	exec
○	main.omp_outlined.63	miniqmc.cpp:437	exec
○	__kmp_invoke_microtask		libomp.so
►4.24+	qmcplusplus::ParticleSet::upda[...]	stl_vector.h:993	exec
○	main.omp_outlined	miniqmc.cpp:390	exec
○	__kmp_invoke_microtask		libomp.so

min	med	avg	max

Percentile Index	10	20	30	40	50	60	70	80	90	100
Value

min	med	avg	max

Percentile Index	10	20	30	40	50	60	70	80	90	100
Value

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	1.01
Bottlenecks	P8, P9, P10, P11,
Function	void qmcplusplus::DTD_BConds::computeDistances, qmcplusplus::VectorSoAContainer >, qmcplusplus::VectorSoAContainer > >(qmcplusplus::TinyVector const&, qmcplusplus::VectorSoAContainer > const&, double*, qmcplusplus::VectorSoAContainer >&, int, int, int) const
Source	ParticleBConds3DSoa.h:234-255
Source loop unroll info	unrolled by 2
Source loop unroll confidence level	high
Unroll/vectorization loop type	NA
Unroll factor	2
CQA cycles	8.75
CQA cycles if no scalar integer	8.75
CQA cycles if FP arith vectorized	8.75
CQA cycles if fully vectorized	8.75
Front-end cycles	7.63
P0 cycles	0.50
P1 cycles	0.50
P2 cycles	0.58
P3 cycles	0.58
P4 cycles	0.50
P5 cycles	0.50
P6 cycles	0.42
P7 cycles	0.42
P8 cycles	8.75
P9 cycles	8.75
P10 cycles	8.75
P11 cycles	8.75
P12 cycles	8.67
P13 cycles	8.67
P14 cycles	8.67
P15 cycles	0.00
P16 cycles	0.00
DIV/SQRT cycles	3.50 - 7.52
Inter-iter dependencies cycles	1
FE+BE cycles (UFS)	NA
Stall cycles (UFS)	NA
Nb insns	61.00
Nb uops	61.00
Nb loads	NA
Nb stores	4.00
Nb stack references	0.00
FLOP/cycle	9.60
Nb FLOP add-sub	12.00
Nb FLOP mul	14.00
Nb FLOP fma	28.00
Nb FLOP div	0.00
Nb FLOP rcp	0.00
Nb FLOP sqrt	2.00
Nb FLOP rsqrt	0.00
Bytes/cycle	48.46
Bytes prefetched	0.00
Bytes loaded	360.00
Bytes stored	64.00
Stride 0	1.00
Stride 1	0.00
Stride n	0.00
Stride unknown	0.00
Stride indirect	7.00
Vectorization ratio all	94.92
Vectorization ratio load	95.45
Vectorization ratio store	100.00
Vectorization ratio mul	100.00
Vectorization ratio add_sub	75.00
Vectorization ratio fma	100.00
Vectorization ratio div_sqrt	100.00
Vectorization ratio other	100.00
Vector-efficiency ratio all	96.61
Vector-efficiency ratio load	97.73
Vector-efficiency ratio store	100.00
Vector-efficiency ratio mul	100.00
Vector-efficiency ratio add_sub	81.25
Vector-efficiency ratio fma	100.00
Vector-efficiency ratio div_sqrt	100.00
Vector-efficiency ratio other	100.00

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	1.01
Bottlenecks	P8, P9, P10, P11,
Function	void qmcplusplus::DTD_BConds::computeDistances, qmcplusplus::VectorSoAContainer >, qmcplusplus::VectorSoAContainer > >(qmcplusplus::TinyVector const&, qmcplusplus::VectorSoAContainer > const&, double*, qmcplusplus::VectorSoAContainer >&, int, int, int) const
Source	ParticleBConds3DSoa.h:234-255
Source loop unroll info	unrolled by 2
Source loop unroll confidence level	high
Unroll/vectorization loop type	NA
Unroll factor	2
CQA cycles	8.75
CQA cycles if no scalar integer	8.75
CQA cycles if FP arith vectorized	8.75
CQA cycles if fully vectorized	8.75
Front-end cycles	7.63
P0 cycles	0.50
P1 cycles	0.50
P2 cycles	0.58
P3 cycles	0.58
P4 cycles	0.50
P5 cycles	0.50
P6 cycles	0.42
P7 cycles	0.42
P8 cycles	8.75
P9 cycles	8.75
P10 cycles	8.75
P11 cycles	8.75
P12 cycles	8.67
P13 cycles	8.67
P14 cycles	8.67
P15 cycles	0.00
P16 cycles	0.00
DIV/SQRT cycles	3.50 - 7.52
Inter-iter dependencies cycles	1
FE+BE cycles (UFS)	NA
Stall cycles (UFS)	NA
Nb insns	61.00
Nb uops	61.00
Nb loads	NA
Nb stores	4.00
Nb stack references	0.00
FLOP/cycle	9.60
Nb FLOP add-sub	12.00
Nb FLOP mul	14.00
Nb FLOP fma	28.00
Nb FLOP div	0.00
Nb FLOP rcp	0.00
Nb FLOP sqrt	2.00
Nb FLOP rsqrt	0.00
Bytes/cycle	48.46
Bytes prefetched	0.00
Bytes loaded	360.00
Bytes stored	64.00
Stride 0	1.00
Stride 1	0.00
Stride n	0.00
Stride unknown	0.00
Stride indirect	7.00
Vectorization ratio all	94.92
Vectorization ratio load	95.45
Vectorization ratio store	100.00
Vectorization ratio mul	100.00
Vectorization ratio add_sub	75.00
Vectorization ratio fma	100.00
Vectorization ratio div_sqrt	100.00
Vectorization ratio other	100.00
Vector-efficiency ratio all	96.61
Vector-efficiency ratio load	97.73
Vector-efficiency ratio store	100.00
Vector-efficiency ratio mul	100.00
Vector-efficiency ratio add_sub	81.25
Vector-efficiency ratio fma	100.00
Vector-efficiency ratio div_sqrt	100.00
Vector-efficiency ratio other	100.00

Path /

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

Function	void qmcplusplus::DTD_BConds::computeDistances, qmcplusplus::VectorSoAContainer >, qmcplusplus::VectorSoAContainer > >(qmcplusplus::TinyVector const&, qmcplusplus::VectorSoAContainer > const&, double*, qmcplusplus::VectorSoAContainer >&, int, int, int) const
Source file and lines	ParticleBConds3DSoa.h:234-255
Module	exec

The loop is defined in /home/hbollore/qaas/qaas-runs/174-135-6342/intel/miniqmc/build/miniqmc/src/Particle/Lattice/ParticleBConds3DSoa.h:234-255.

The related source loop is unrolled by 2 (including vectorization).

gain
potential
hint
expert

Vectorization

Your loop is highly vectorized. 96% of vector register length is used (average across all VPU instructions).

Details

94% of VPU instructions are used in vector version (process two or more data elements in vector registers):

95% of VPU loads are used in vector version.
75% of VPU addition or subtraction instructions are used in vector version.

FMA

Detected 28 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 84 FP arithmetical operations:

40: addition or subtraction (28 inside FMA instructions)
42: multiply (28 inside FMA instructions)
2: square root

The binary loop is loading 360 bytes. The binary loop is storing 64 bytes.

Arithmetic intensity

Arithmetic intensity is 0.20 FP operations per loaded or stored byte.

General properties

nb instructions	61
loop length	244
nb stack references	0

Front-end

FIT IN UOP CACHE

front end

7.63 cycles

Back-end

	P0	P1	P2	P3	P4	P5	P6	P7	P8	P9	P10	P11	P12	P13	P14	P15	P16
uops	0.50	0.50	0.58	0.58	0.50	0.50	0.42	0.42	8.75	8.75	8.75	8.75	8.67	8.67	8.67	0.00	0.00
cycles	0.50	0.50	0.58	0.58	0.50	0.50	0.42	0.42	8.75	8.75	8.75	8.75	8.67	8.67	8.67	0.00	0.00

Execution ports to units layout:

P0: BRU
P1: BRU
P2: ALU
P3: ALU
P4: ALU
P5: ALU
P6: ALU
P7: ALU
P8 (128 bits): VPU, FP store data, ALU, DIV/SQRT
P9 (128 bits): VPU, ALU, FP store data
P10 (128 bits): VPU, ALU, DIV/SQRT
P11 (128 bits): ALU, VPU
P12 (256 bits): store address, load
P13 (256 bits): store address, load
P14 (256 bits): load
P15 (64 bits): store data
P16 (64 bits): store data

Cycles executing div or sqrt instructions	3.50-7.52
Longest recurrence chain latency (RecMII)	1.00

Cycles summary

Front-end	7.63
Data deps.	1.00
Overall L1	8.75

Vectorization ratios

INT

all	89%
load	95%
store	100%
mul	NA (no mul vectorizable/vectorized instructions)
add-sub	0%
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	100%
other	100%

INT+FP

all	94%
load	95%
store	100%
mul	100%
add-sub	75%
fma	100%
div/sqrt	100%
other	100%

Cycles and memory resources usage

Assuming all data fit into the L1 cache, each iteration of the binary loop takes 8.75 cycles. At this rate:

42% of peak load performance is reached (41.14 out of 96.00 bytes loaded per cycle (GB/s @ 1GHz))
15% of peak store performance is reached (7.31 out of 48.00 bytes stored per cycle (GB/s @ 1GHz))

ASM code

In the binary file, the address of the loop is: 452b80

Instruction	Nb FU	P0	P1	P2	P3	P4	P5	P6	P7	P8	P9	P10	P11	P12	P13	P14	Latency	Recip. throughput	Vectorization
SBFM X18, X17, #61, #31	1	0	0	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	1	0.17	N/A
LDUR Q17, [X0, #72]	1	0	0	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (100.0%)
LDP Q19, Q18, [X0, #80]	1	0	0	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.67	vect (100.0%)
ADD W17, W17, #2	1	0	0	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	1	0.17	scal (25.0%)
SUBS W16, W16, #2	1	0	0	0.25	0.25	0	0	0.25	0.25	0	0	0	0	0	0	0	1	0.33	scal (25.0%)
LDR Q6, [X8, X18]	1	0	0	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (100.0%)
LDR Q7, [X9, X18]	1	0	0	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (100.0%)
LDR Q16, [X10, X18]	1	0	0	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (100.0%)
FSUB V6.2D, V6.2D, V3.2D	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	2	0.25	vect (100.0%)
FSUB V7.2D, V7.2D, V4.2D	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	2	0.25	vect (100.0%)
FSUB V16.2D, V16.2D, V5.2D	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	2	0.25	vect (100.0%)
FMUL V17.2D, V6.2D, V17.D[0]	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	3	0.25	vect (100.0%)
FMUL V18.2D, V6.2D, V18.D[0]	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	3	0.25	vect (100.0%)
FMLA V17.2D, V7.2D, V19.D[0]	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	4	0.25	vect (100.0%)
LDUR Q19, [X0, #104]	1	0	0	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (100.0%)
FMLA V18.2D, V7.2D, V19.D[0]	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	4	0.25	vect (100.0%)
LDUR Q19, [X0, #88]	1	0	0	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (100.0%)
FMLA V17.2D, V16.2D, V19.D[0]	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	4	0.25	vect (100.0%)
LDR Q19, [X0, #112]	1	0	0	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (100.0%)
FMLA V18.2D, V16.2D, V19.D[0]	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	4	0.25	vect (100.0%)
LDUR Q19, [X0, #120]	1	0	0	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (100.0%)
FMUL V6.2D, V6.2D, V19.D[0]	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	3	0.25	vect (100.0%)
LDR Q19, [X0, #128]	1	0	0	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (100.0%)
FMLA V6.2D, V7.2D, V19.D[0]	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	4	0.25	vect (100.0%)
LDR D7, [X0, #136]	1	0	0	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	scal (50.0%)
FMLA V6.2D, V16.2D, V7.D[0]	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	4	0.25	vect (100.0%)
FRINTA V7.2D, V17.2D	1	0	0	0	0	0	0	0	0	0.50	0	0.50	0	0	0	0	3	0.50	vect (100.0%)
FRINTA V16.2D, V18.2D	1	0	0	0	0	0	0	0	0	0.50	0	0.50	0	0	0	0	3	0.50	vect (100.0%)
FSUB V7.2D, V17.2D, V7.2D	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	2	0.25	vect (100.0%)
FSUB V16.2D, V18.2D, V16.2D	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	2	0.25	vect (100.0%)
LDUR Q18, [X0, #8]	1	0	0	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (100.0%)
FRINTA V17.2D, V6.2D	1	0	0	0	0	0	0	0	0	0.50	0	0.50	0	0	0	0	3	0.50	vect (100.0%)
FSUB V6.2D, V6.2D, V17.2D	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	2	0.25	vect (100.0%)
LDR Q17, [X0]	1	0	0	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (100.0%)
FMUL V17.2D, V7.2D, V17.D[0]	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	3	0.25	vect (100.0%)
FMLA V17.2D, V16.2D, V18.D[0]	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	4	0.25	vect (100.0%)
LDR Q18, [X0, #16]	1	0	0	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (100.0%)
FMLA V17.2D, V6.2D, V18.D[0]	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	4	0.25	vect (100.0%)
STR Q17, [X11, X18]	1	0	0	0	0	0	0	0	0	0.50	0.50	0	0	0.50	0.50	0	2	0.50	vect (100.0%)
LDUR Q17, [X0, #24]	1	0	0	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (100.0%)
LDR Q18, [X0, #32]	1	0	0	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (100.0%)
FMUL V17.2D, V7.2D, V17.D[0]	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	3	0.25	vect (100.0%)
FMLA V17.2D, V16.2D, V18.D[0]	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	4	0.25	vect (100.0%)
LDUR Q18, [X0, #40]	1	0	0	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (100.0%)
FMLA V17.2D, V6.2D, V18.D[0]	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	4	0.25	vect (100.0%)
STR Q17, [X12, X18]	1	0	0	0	0	0	0	0	0	0.50	0.50	0	0	0.50	0.50	0	2	0.50	vect (100.0%)
LDR Q17, [X0, #48]	1	0	0	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (100.0%)
FMUL V7.2D, V7.2D, V17.D[0]	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	3	0.25	vect (100.0%)
LDUR Q17, [X0, #56]	1	0	0	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (100.0%)
FMLA V7.2D, V16.2D, V17.D[0]	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	4	0.25	vect (100.0%)
LDR Q16, [X0, #64]	1	0	0	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (100.0%)
FMLA V7.2D, V6.2D, V16.D[0]	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	4	0.25	vect (100.0%)
STR Q7, [X13, X18]	1	0	0	0	0	0	0	0	0	0.50	0.50	0	0	0.50	0.50	0	2	0.50	vect (100.0%)
LDR Q6, [X11, X18]	1	0	0	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (100.0%)
LDR Q16, [X12, X18]	1	0	0	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (100.0%)
FMUL V6.2D, V6.2D, V6.2D	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	3	0.25	vect (100.0%)
FMLA V6.2D, V7.2D, V7.2D	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	4	0.25	vect (100.0%)
FMLA V6.2D, V16.2D, V16.2D	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	4	0.25	vect (100.0%)
FSQRT V6.2D, V6.2D	1	0	0	0	0	0	0	0	0	0.50	0	0.50	0	0	0	0	7-16	3.50-7.52	vect (100.0%)
STR Q6, [X3, X18]	1	0	0	0	0	0	0	0	0	0.50	0.50	0	0	0.50	0.50	0	2	0.50	vect (100.0%)
B.NE 452b80 <_ZNK11qmcplusplus10DTD_BCondsIdLj3ELi40EE16computeDistancesINS_10TinyVectorIdLj3EEENS_18VectorSoAContainerIdLj3ENS_10MallocatorIdLm32EEEEES8_EEvRKT_RKT0_PdRT1_iii+0x60>	1	0.50	0.50	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0.50	N/A

Function	void qmcplusplus::DTD_BConds::computeDistances, qmcplusplus::VectorSoAContainer >, qmcplusplus::VectorSoAContainer > >(qmcplusplus::TinyVector const&, qmcplusplus::VectorSoAContainer > const&, double*, qmcplusplus::VectorSoAContainer >&, int, int, int) const
Source file and lines	ParticleBConds3DSoa.h:234-255
Module	exec

gain
potential
hint
expert

Vectorization

Your loop is highly vectorized. 96% of vector register length is used (average across all VPU instructions).

Details

94% of VPU instructions are used in vector version (process two or more data elements in vector registers):

95% of VPU loads are used in vector version.
75% of VPU addition or subtraction instructions are used in vector version.

FMA

Detected 28 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 84 FP arithmetical operations:

40: addition or subtraction (28 inside FMA instructions)
42: multiply (28 inside FMA instructions)
2: square root

The binary loop is loading 360 bytes. The binary loop is storing 64 bytes.

Arithmetic intensity

Arithmetic intensity is 0.20 FP operations per loaded or stored byte.

General properties

nb instructions	61
loop length	244
nb stack references	0

Front-end

FIT IN UOP CACHE

front end

7.63 cycles

Back-end

	P0	P1	P2	P3	P4	P5	P6	P7	P8	P9	P10	P11	P12	P13	P14	P15	P16
uops	0.50	0.50	0.58	0.58	0.50	0.50	0.42	0.42	8.75	8.75	8.75	8.75	8.67	8.67	8.67	0.00	0.00
cycles	0.50	0.50	0.58	0.58	0.50	0.50	0.42	0.42	8.75	8.75	8.75	8.75	8.67	8.67	8.67	0.00	0.00

Execution ports to units layout:

P0: BRU
P1: BRU
P2: ALU
P3: ALU
P4: ALU
P5: ALU
P6: ALU
P7: ALU
P8 (128 bits): VPU, FP store data, ALU, DIV/SQRT
P9 (128 bits): VPU, ALU, FP store data
P10 (128 bits): VPU, ALU, DIV/SQRT
P11 (128 bits): ALU, VPU
P12 (256 bits): store address, load
P13 (256 bits): store address, load
P14 (256 bits): load
P15 (64 bits): store data
P16 (64 bits): store data

Cycles executing div or sqrt instructions	3.50-7.52
Longest recurrence chain latency (RecMII)	1.00

Cycles summary

Front-end	7.63
Data deps.	1.00
Overall L1	8.75

Vectorization ratios

INT

all	89%
load	95%
store	100%
mul	NA (no mul vectorizable/vectorized instructions)
add-sub	0%
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	100%
other	100%

INT+FP

all	94%
load	95%
store	100%
mul	100%
add-sub	75%
fma	100%
div/sqrt	100%
other	100%

Cycles and memory resources usage

Assuming all data fit into the L1 cache, each iteration of the binary loop takes 8.75 cycles. At this rate:

42% of peak load performance is reached (41.14 out of 96.00 bytes loaded per cycle (GB/s @ 1GHz))
15% of peak store performance is reached (7.31 out of 48.00 bytes stored per cycle (GB/s @ 1GHz))

ASM code

In the binary file, the address of the loop is: 452b80

Instruction	Nb FU	P0	P1	P2	P3	P4	P5	P6	P7	P8	P9	P10	P11	P12	P13	P14	Latency	Recip. throughput	Vectorization
SBFM X18, X17, #61, #31	1	0	0	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	1	0.17	N/A
LDUR Q17, [X0, #72]	1	0	0	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (100.0%)
LDP Q19, Q18, [X0, #80]	1	0	0	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.67	vect (100.0%)
ADD W17, W17, #2	1	0	0	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	1	0.17	scal (25.0%)
SUBS W16, W16, #2	1	0	0	0.25	0.25	0	0	0.25	0.25	0	0	0	0	0	0	0	1	0.33	scal (25.0%)
LDR Q6, [X8, X18]	1	0	0	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (100.0%)
LDR Q7, [X9, X18]	1	0	0	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (100.0%)
LDR Q16, [X10, X18]	1	0	0	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (100.0%)
FSUB V6.2D, V6.2D, V3.2D	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	2	0.25	vect (100.0%)
FSUB V7.2D, V7.2D, V4.2D	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	2	0.25	vect (100.0%)
FSUB V16.2D, V16.2D, V5.2D	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	2	0.25	vect (100.0%)
FMUL V17.2D, V6.2D, V17.D[0]	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	3	0.25	vect (100.0%)
FMUL V18.2D, V6.2D, V18.D[0]	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	3	0.25	vect (100.0%)
FMLA V17.2D, V7.2D, V19.D[0]	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	4	0.25	vect (100.0%)
LDUR Q19, [X0, #104]	1	0	0	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (100.0%)
FMLA V18.2D, V7.2D, V19.D[0]	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	4	0.25	vect (100.0%)
LDUR Q19, [X0, #88]	1	0	0	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (100.0%)
FMLA V17.2D, V16.2D, V19.D[0]	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	4	0.25	vect (100.0%)
LDR Q19, [X0, #112]	1	0	0	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (100.0%)
FMLA V18.2D, V16.2D, V19.D[0]	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	4	0.25	vect (100.0%)
LDUR Q19, [X0, #120]	1	0	0	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (100.0%)
FMUL V6.2D, V6.2D, V19.D[0]	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	3	0.25	vect (100.0%)
LDR Q19, [X0, #128]	1	0	0	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (100.0%)
FMLA V6.2D, V7.2D, V19.D[0]	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	4	0.25	vect (100.0%)
LDR D7, [X0, #136]	1	0	0	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	scal (50.0%)
FMLA V6.2D, V16.2D, V7.D[0]	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	4	0.25	vect (100.0%)
FRINTA V7.2D, V17.2D	1	0	0	0	0	0	0	0	0	0.50	0	0.50	0	0	0	0	3	0.50	vect (100.0%)
FRINTA V16.2D, V18.2D	1	0	0	0	0	0	0	0	0	0.50	0	0.50	0	0	0	0	3	0.50	vect (100.0%)
FSUB V7.2D, V17.2D, V7.2D	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	2	0.25	vect (100.0%)
FSUB V16.2D, V18.2D, V16.2D	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	2	0.25	vect (100.0%)
LDUR Q18, [X0, #8]	1	0	0	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (100.0%)
FRINTA V17.2D, V6.2D	1	0	0	0	0	0	0	0	0	0.50	0	0.50	0	0	0	0	3	0.50	vect (100.0%)
FSUB V6.2D, V6.2D, V17.2D	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	2	0.25	vect (100.0%)
LDR Q17, [X0]	1	0	0	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (100.0%)
FMUL V17.2D, V7.2D, V17.D[0]	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	3	0.25	vect (100.0%)
FMLA V17.2D, V16.2D, V18.D[0]	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	4	0.25	vect (100.0%)
LDR Q18, [X0, #16]	1	0	0	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (100.0%)
FMLA V17.2D, V6.2D, V18.D[0]	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	4	0.25	vect (100.0%)
STR Q17, [X11, X18]	1	0	0	0	0	0	0	0	0	0.50	0.50	0	0	0.50	0.50	0	2	0.50	vect (100.0%)
LDUR Q17, [X0, #24]	1	0	0	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (100.0%)
LDR Q18, [X0, #32]	1	0	0	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (100.0%)
FMUL V17.2D, V7.2D, V17.D[0]	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	3	0.25	vect (100.0%)
FMLA V17.2D, V16.2D, V18.D[0]	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	4	0.25	vect (100.0%)
LDUR Q18, [X0, #40]	1	0	0	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (100.0%)
FMLA V17.2D, V6.2D, V18.D[0]	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	4	0.25	vect (100.0%)
STR Q17, [X12, X18]	1	0	0	0	0	0	0	0	0	0.50	0.50	0	0	0.50	0.50	0	2	0.50	vect (100.0%)
LDR Q17, [X0, #48]	1	0	0	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (100.0%)
FMUL V7.2D, V7.2D, V17.D[0]	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	3	0.25	vect (100.0%)
LDUR Q17, [X0, #56]	1	0	0	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (100.0%)
FMLA V7.2D, V16.2D, V17.D[0]	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	4	0.25	vect (100.0%)
LDR Q16, [X0, #64]	1	0	0	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (100.0%)
FMLA V7.2D, V6.2D, V16.D[0]	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	4	0.25	vect (100.0%)
STR Q7, [X13, X18]	1	0	0	0	0	0	0	0	0	0.50	0.50	0	0	0.50	0.50	0	2	0.50	vect (100.0%)
LDR Q6, [X11, X18]	1	0	0	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (100.0%)
LDR Q16, [X12, X18]	1	0	0	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (100.0%)
FMUL V6.2D, V6.2D, V6.2D	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	3	0.25	vect (100.0%)
FMLA V6.2D, V7.2D, V7.2D	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	4	0.25	vect (100.0%)
FMLA V6.2D, V16.2D, V16.2D	1	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	4	0.25	vect (100.0%)
FSQRT V6.2D, V6.2D	1	0	0	0	0	0	0	0	0	0.50	0	0.50	0	0	0	0	7-16	3.50-7.52	vect (100.0%)
STR Q6, [X3, X18]	1	0	0	0	0	0	0	0	0	0.50	0.50	0	0	0.50	0.50	0	2	0.50	vect (100.0%)
B.NE 452b80 <_ZNK11qmcplusplus10DTD_BCondsIdLj3ELi40EE16computeDistancesINS_10TinyVectorIdLj3EEENS_18VectorSoAContainerIdLj3ENS_10MallocatorIdLm32EEEEES8_EEvRKT_RKT0_PdRT1_iii+0x60>	1	0.50	0.50	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0.50	N/A

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