OV - exec - Loop 818

	Loop Id: 818	Module: exec	Source: MultiBsplineRef.hpp:242-262	Coverage: 7.75%

0x43cb20 LD1D	{Z11.D}, P2/Z, [X30, X4,LSL #3]    [4]

0x43cb24 LD1D	{Z12.D}, P2/Z, [X18, X4,LSL #3]    [12]

0x43cb28 ADD	X25, X19, X4,LSL #3

0x43cb2c ADD	X25, X25, X1

0x43cb30 LD1D	{Z13.D}, P2/Z, [X17, X4,LSL #3]    [10]

0x43cb34 LD1D	{Z14.D}, P2/Z, [X14, X4,LSL #3]    [6]

0x43cb38 FMUL	Z8.D, Z11.D, Z5.D

0x43cb3c LD1D	{Z15.D}, P2/Z, [X25, MUL VL]    [9]

0x43cb40 FMUL	Z0.D, Z12.D, Z19.D

0x43cb44 FMLA	Z8.D, P1/M, Z12.D, Z6.D

0x43cb48 FMLA	Z0.D, P1/M, Z14.D, Z20.D

0x43cb4c FMLA	Z8.D, P1/M, Z13.D, Z7.D

0x43cb50 FMLA	Z0.D, P1/M, Z11.D, Z17.D

0x43cb54 FMLA	Z8.D, P1/M, Z16.D, Z14.D

0x43cb58 FMLA	Z0.D, P1/M, Z13.D, Z18.D

0x43cb5c FMLA	Z15.D, P1/M, Z31.D, Z8.D

0x43cb60 ST1D	{Z15.D}, P2, [X25, MUL VL]    [9]

0x43cb64 ADD	X25, X25, X1

0x43cb68 LD1D	{Z15.D}, P2/Z, [X25, MUL VL]    [8]

0x43cb6c FMLA	Z15.D, P1/M, Z0.D, Z9.D

0x43cb70 ST1D	{Z15.D}, P2, [X25, MUL VL]    [8]

0x43cb74 ADD	X25, X25, X1

0x43cb78 LD1D	{Z15.D}, P2/Z, [X25, MUL VL]    [7]

0x43cb7c FMLA	Z15.D, P1/M, Z29.D, Z8.D

0x43cb80 ST1D	{Z15.D}, P2, [X25, MUL VL]    [7]

0x43cb84 ADD	X25, X25, X1

0x43cb88 LD1D	{Z15.D}, P2/Z, [X25, MUL VL]    [2]

0x43cb8c FMLA	Z15.D, P1/M, Z0.D, Z28.D

0x43cb90 ST1D	{Z15.D}, P2, [X25, MUL VL]    [2]

0x43cb94 ADD	X25, X25, X1

0x43cb98 LD1D	{Z15.D}, P2/Z, [X25, MUL VL]    [1]

0x43cb9c FMAD	Z11.D, P1/M, Z25.D, Z15.D

0x43cba0 LD1D	{Z15.D}, P2/Z, [X19, X4,LSL #3]    [14]

0x43cba4 FMLA	Z11.D, P1/M, Z12.D, Z24.D

0x43cba8 LD1D	{Z12.D}, P2/Z, [X20, X4,LSL #3]    [3]

0x43cbac FMLA	Z11.D, P1/M, Z13.D, Z26.D

0x43cbb0 FMLA	Z11.D, P1/M, Z14.D, Z27.D

0x43cbb4 FMLA	Z15.D, P1/M, Z10.D, Z8.D

0x43cbb8 FMLA	Z12.D, P1/M, Z8.D, Z9.D

0x43cbbc ST1D	{Z11.D}, P2, [X25, MUL VL]    [1]

0x43cbc0 LD1D	{Z11.D}, P2/Z, [X27, X4,LSL #3]    [11]

0x43cbc4 FMLA	Z11.D, P1/M, Z8.D, Z28.D

0x43cbc8 ST1D	{Z15.D}, P2, [X19, X4,LSL #3]    [14]

0x43cbcc ST1D	{Z12.D}, P2, [X20, X4,LSL #3]    [3]

0x43cbd0 ST1D	{Z11.D}, P2, [X27, X4,LSL #3]    [11]

0x43cbd4 LD1D	{Z11.D}, P2/Z, [X28, X4,LSL #3]    [13]

0x43cbd8 FMAD	Z0.D, P1/M, Z30.D, Z11.D

0x43cbdc ST1D	{Z0.D}, P2, [X28, X4,LSL #3]    [13]

0x43cbe0 LD1D	{Z0.D}, P2/Z, [X22, X4,LSL #3]    [5]

0x43cbe4 FMLA	Z0.D, P1/M, Z8.D, Z30.D

0x43cbe8 ST1D	{Z0.D}, P2, [X22, X4,LSL #3]    [5]

0x43cbec ADD	X4, X4, X8

0x43cbf0 SUB	X25, X4, X8

0x43cbf4 WHILELO	P2.D, X25, X15

0x43cbf8 B.MI	43cb20

/home/eoseret/qaas/qaas_runs/178-212-9071/intel/miniqmc/build/miniqmc/src/Numerics/Spline2/MultiBsplineRef.hpp: 242 - 262

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

242:       for (int n = 0; n < iSplitPoint; n++)

243:       {

244:         T coefsv    = coefs[n];

245:         T coefsvzs  = coefszs[n];

246:         T coefsv2zs = coefs2zs[n];

247:         T coefsv3zs = coefs3zs[n];

248:

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

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

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

252:

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

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

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

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

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

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

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

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

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

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

Coverage (%)	Name	Source Location	Module
►81.59+	miniqmcreference::einspline_sp[...]	einspline_spo_ref.hpp:206	exec
○	miniqmcreference::einspline_sp[...]	einspline_spo_ref.hpp:219	exec
○	miniqmcreference::DiracDetermi[...]	DiracDeterminantRef.cpp:100	exec
○	qmcplusplus::WaveFunction::rat[...]	stl_vector.h:993	exec
○	main.omp_outlined.62	miniqmc.cpp:442	exec
○	__kmp_invoke_microtask		libomp.so
○	__kmp_invoke_task_func		libomp.so
○	__kmp_launch_thread		libomp.so
○	__kmp_launch_worker(void*)		libomp.so
○	start_thread		libc.so.6
○	thread_start		libc.so.6
►8.48+	miniqmcreference::einspline_sp[...]	einspline_spo_ref.hpp:206	exec
○	miniqmcreference::einspline_sp[...]	einspline_spo_ref.hpp:219	exec
○	qmcplusplus::SPOSet::evaluate_[...]	OhmmsVector.h:210	exec
○	miniqmcreference::DiracDetermi[...]	DiracDeterminantRef.cpp:263	exec
○	miniqmcreference::DiracDetermi[...]	DiracDeterminantRef.cpp:238	exec
○	qmcplusplus::WaveFunction::eva[...]	WaveFunction.cpp:171	exec
○	main.omp_outlined	miniqmc.cpp:379	exec
○	__kmp_invoke_microtask		libomp.so
○	__kmp_invoke_task_func		libomp.so
○	__kmp_launch_thread		libomp.so
○	__kmp_launch_worker(void*)		libomp.so
○	start_thread		libc.so.6
○	thread_start		libc.so.6
►8.38+	miniqmcreference::einspline_sp[...]	einspline_spo_ref.hpp:206	exec
○	miniqmcreference::einspline_sp[...]	einspline_spo_ref.hpp:219	exec
○	qmcplusplus::SPOSet::evaluate_[...]	OhmmsVector.h:210	exec
○	miniqmcreference::DiracDetermi[...]	DiracDeterminantRef.cpp:263	exec
○	miniqmcreference::DiracDetermi[...]	DiracDeterminantRef.cpp:238	exec
○	qmcplusplus::WaveFunction::eva[...]	WaveFunction.cpp:171	exec
○	main.omp_outlined	miniqmc.cpp:379	exec
○	__kmp_invoke_microtask		libomp.so
○	__kmp_invoke_task_func		libomp.so
○	__kmp_launch_thread		libomp.so
○	__kmp_launch_worker(void*)		libomp.so
○	start_thread		libc.so.6
○	thread_start		libc.so.6
►1.31+	miniqmcreference::einspline_sp[...]	einspline_spo_ref.hpp:206	exec
○	miniqmcreference::einspline_sp[...]	einspline_spo_ref.hpp:219	exec
○	miniqmcreference::DiracDetermi[...]	DiracDeterminantRef.cpp:100	exec
○	qmcplusplus::WaveFunction::rat[...]	stl_vector.h:993	exec
○	main.omp_outlined.62	miniqmc.cpp:442	exec
○	__kmp_invoke_microtask		libomp.so
○	__kmp_invoke_task_func		libomp.so
○	__kmp_fork_call		libomp.so
○	__kmpc_fork_call		libomp.so
○	main	miniqmc.cpp:409	exec
○	__libc_start_call_main		libc.so.6
○	__libc_start_main		libc.so.6
○	_start	new_allocator.h:172	exec

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	1.14
Bottlenecks	P10, P11,
Function	void miniqmcreference::MultiBsplineEvalRef::evaluate_vgh(qmcplusplus::bspline_traits::SplineType const, double, double, double, double, double, double, unsigned long)
Source	MultiBsplineRef.hpp:242-262
Source loop unroll info	unrolled by 2
Source loop unroll confidence level	medium
Unroll/vectorization loop type	NA
Unroll factor	2
CQA cycles	12.00
CQA cycles if no scalar integer	12.00
CQA cycles if FP arith vectorized	12.00
CQA cycles if fully vectorized	12.00
Front-end cycles	6.88
P0 cycles	0.50
P1 cycles	0.50
P2 cycles	2.25
P3 cycles	2.25
P4 cycles	2.25
P5 cycles	2.25
P6 cycles	10.50
P7 cycles	10.50
P8 cycles	10.50
P9 cycles	10.50
P10 cycles	12.00
P11 cycles	12.00
P12 cycles	0.00
P13 cycles	0.00
P14 cycles	0.00
DIV/SQRT cycles	0.00
Inter-iter dependencies cycles	1
FE+BE cycles (UFS)	NA
Stall cycles (UFS)	NA
Nb insns	55.00
Nb uops	55.00
Nb loads	NA
Nb stores	10.00
Nb stack references	0.00
FLOP/cycle	13.33
Nb FLOP add-sub	0.00
Nb FLOP mul	8.00
Nb FLOP fma	76.00
Nb FLOP div	0.00
Nb FLOP rcp	0.00
Nb FLOP sqrt	0.00
Nb FLOP rsqrt	0.00
Bytes/cycle	64.00
Bytes prefetched	0.00
Bytes loaded	448.00
Bytes stored	320.00
Stride 0	0.00
Stride 1	0.00
Stride n	0.00
Stride unknown	14.00
Stride indirect	0.00
Vectorization ratio all	100.00
Vectorization ratio load	100.00
Vectorization ratio store	100.00
Vectorization ratio mul	100.00
Vectorization ratio add_sub	NA
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	NA
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	1.14
Bottlenecks	P10, P11,
Function	void miniqmcreference::MultiBsplineEvalRef::evaluate_vgh(qmcplusplus::bspline_traits::SplineType const, double, double, double, double, double, double, unsigned long)
Source	MultiBsplineRef.hpp:242-262
Source loop unroll info	unrolled by 2
Source loop unroll confidence level	medium
Unroll/vectorization loop type	NA
Unroll factor	2
CQA cycles	12.00
CQA cycles if no scalar integer	12.00
CQA cycles if FP arith vectorized	12.00
CQA cycles if fully vectorized	12.00
Front-end cycles	6.88
P0 cycles	0.50
P1 cycles	0.50
P2 cycles	2.25
P3 cycles	2.25
P4 cycles	2.25
P5 cycles	2.25
P6 cycles	10.50
P7 cycles	10.50
P8 cycles	10.50
P9 cycles	10.50
P10 cycles	12.00
P11 cycles	12.00
P12 cycles	0.00
P13 cycles	0.00
P14 cycles	0.00
DIV/SQRT cycles	0.00
Inter-iter dependencies cycles	1
FE+BE cycles (UFS)	NA
Stall cycles (UFS)	NA
Nb insns	55.00
Nb uops	55.00
Nb loads	NA
Nb stores	10.00
Nb stack references	0.00
FLOP/cycle	13.33
Nb FLOP add-sub	0.00
Nb FLOP mul	8.00
Nb FLOP fma	76.00
Nb FLOP div	0.00
Nb FLOP rcp	0.00
Nb FLOP sqrt	0.00
Nb FLOP rsqrt	0.00
Bytes/cycle	64.00
Bytes prefetched	0.00
Bytes loaded	448.00
Bytes stored	320.00
Stride 0	0.00
Stride 1	0.00
Stride n	0.00
Stride unknown	14.00
Stride indirect	0.00
Vectorization ratio all	100.00
Vectorization ratio load	100.00
Vectorization ratio store	100.00
Vectorization ratio mul	100.00
Vectorization ratio add_sub	NA
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	NA
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:242-262
Module	exec

The loop is defined in /home/eoseret/qaas/qaas_runs/178-212-9071/intel/miniqmc/build/miniqmc/src/Numerics/Spline2/MultiBsplineRef.hpp:242-262.

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

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 76 FMA (fused multiply-add) operations.

Slow data structures access

Detected data structures (typically arrays) that cannot be efficiently read/written

Details

Constant unknown stride: 14 occurrence(s)

Non-unit stride (uncontiguous) accesses are not efficiently using data caches

Workaround

Try to reorganize arrays of structures to structures of arrays
Consider to permute loops (see vectorization gain report)

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

The binary loop is composed of 160 FP arithmetical operations:

76: addition or subtraction (all inside FMA instructions)
84: multiply (76 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	55
nb uops	55
loop length	220
used w registers	0
used x registers	14
used b registers	0
used h registers	0
used s registers	0
used d registers	0
used q registers	0
used v registers	0
used z registers	25
nb stack references	0

Front-end

MACRO FUSION NOT POSSIBLE FIT IN UOP CACHE

micro-operation queue	6.88 cycles
front end	6.88 cycles

Back-end

	P0	P1	P2	P3	P4	P5	P6	P7	P8	P9	P10	P11	P12	P13	P14
uops	0.50	0.50	2.25	2.25	2.25	2.25	10.50	10.50	5.00	5.00	12.00	12.00	0.00	0.00	0.00
cycles	0.50	0.50	2.25	2.25	2.25	2.25	10.50	10.50	10.50	10.50	12.00	12.00	0.00	0.00	0.00

Execution ports to units layout:

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

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

Cycles summary

Front-end	6.88
Dispatch	12.00
Data deps.	1.00
Overall L1	12.00

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

Vector efficiency 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	NA (no add-sub vectorizable/vectorized instructions)
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	NA (no add-sub vectorizable/vectorized instructions)
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 12.00 cycles. At this rate:

38% of peak load performance is reached (37.33 out of 96.00 bytes loaded per cycle (GB/s @ 1GHz))
55% of peak store performance is reached (26.67 out of 48.00 bytes stored per cycle (GB/s @ 1GHz))

Front-end bottlenecks

Found no such bottlenecks.

ASM code

In the binary file, the address of the loop is: 43cb20

Instruction	Nb FU	P0	P1	P2	P3	P4	P5	P6	P7	P8	P9	P10	P11	Latency	Recip. throughput	Vectorization
LD1D {Z11.D}, P2/Z, [X30, X4,LSL #3]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50	vect (100.0%)
LD1D {Z12.D}, P2/Z, [X18, X4,LSL #3]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50	vect (100.0%)
ADD X25, X19, X4,LSL #3	1	0	0	0.25	0.25	0.25	0.25	0	0	0	0	0	0	1	0.25	N/A
ADD X25, X25, X1	1	0	0	0.25	0.25	0.25	0.25	0	0	0	0	0	0	1	0.25	N/A
LD1D {Z13.D}, P2/Z, [X17, X4,LSL #3]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50	vect (100.0%)
LD1D {Z14.D}, P2/Z, [X14, X4,LSL #3]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50	vect (100.0%)
FMUL Z8.D, Z11.D, Z5.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	3	0.50	vect (100.0%)
LD1D {Z15.D}, P2/Z, [X25, MUL VL]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50	vect (100.0%)
FMUL Z0.D, Z12.D, Z19.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	3	0.50	vect (100.0%)
FMLA Z8.D, P1/M, Z12.D, Z6.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50	vect (100.0%)
FMLA Z0.D, P1/M, Z14.D, Z20.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50	vect (100.0%)
FMLA Z8.D, P1/M, Z13.D, Z7.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50	vect (100.0%)
FMLA Z0.D, P1/M, Z11.D, Z17.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50	vect (100.0%)
FMLA Z8.D, P1/M, Z16.D, Z14.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50	vect (100.0%)
FMLA Z0.D, P1/M, Z13.D, Z18.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50	vect (100.0%)
FMLA Z15.D, P1/M, Z31.D, Z8.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50	vect (100.0%)
ST1D {Z15.D}, P2, [X25, MUL VL]	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	2	0.50	vect (100.0%)
ADD X25, X25, X1	1	0	0	0.25	0.25	0.25	0.25	0	0	0	0	0	0	1	0.25	N/A
LD1D {Z15.D}, P2/Z, [X25, MUL VL]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50	vect (100.0%)
FMLA Z15.D, P1/M, Z0.D, Z9.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50	vect (100.0%)
ST1D {Z15.D}, P2, [X25, MUL VL]	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	2	0.50	vect (100.0%)
ADD X25, X25, X1	1	0	0	0.25	0.25	0.25	0.25	0	0	0	0	0	0	1	0.25	N/A
LD1D {Z15.D}, P2/Z, [X25, MUL VL]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50	vect (100.0%)
FMLA Z15.D, P1/M, Z29.D, Z8.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50	vect (100.0%)
ST1D {Z15.D}, P2, [X25, MUL VL]	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	2	0.50	vect (100.0%)
ADD X25, X25, X1	1	0	0	0.25	0.25	0.25	0.25	0	0	0	0	0	0	1	0.25	N/A
LD1D {Z15.D}, P2/Z, [X25, MUL VL]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50	vect (100.0%)
FMLA Z15.D, P1/M, Z0.D, Z28.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50	vect (100.0%)
ST1D {Z15.D}, P2, [X25, MUL VL]	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	2	0.50	vect (100.0%)
ADD X25, X25, X1	1	0	0	0.25	0.25	0.25	0.25	0	0	0	0	0	0	1	0.25	N/A
LD1D {Z15.D}, P2/Z, [X25, MUL VL]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50	vect (100.0%)
FMAD Z11.D, P1/M, Z25.D, Z15.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50	vect (100.0%)
LD1D {Z15.D}, P2/Z, [X19, X4,LSL #3]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50	vect (100.0%)
FMLA Z11.D, P1/M, Z12.D, Z24.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50	vect (100.0%)
LD1D {Z12.D}, P2/Z, [X20, X4,LSL #3]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50	vect (100.0%)
FMLA Z11.D, P1/M, Z13.D, Z26.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50	vect (100.0%)
FMLA Z11.D, P1/M, Z14.D, Z27.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50	vect (100.0%)
FMLA Z15.D, P1/M, Z10.D, Z8.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50	vect (100.0%)
FMLA Z12.D, P1/M, Z8.D, Z9.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50	vect (100.0%)
ST1D {Z11.D}, P2, [X25, MUL VL]	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	2	0.50	vect (100.0%)
LD1D {Z11.D}, P2/Z, [X27, X4,LSL #3]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50	vect (100.0%)
FMLA Z11.D, P1/M, Z8.D, Z28.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50	vect (100.0%)
ST1D {Z15.D}, P2, [X19, X4,LSL #3]	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	2	0.50	vect (100.0%)
ST1D {Z12.D}, P2, [X20, X4,LSL #3]	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	2	0.50	vect (100.0%)
ST1D {Z11.D}, P2, [X27, X4,LSL #3]	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	2	0.50	vect (100.0%)
LD1D {Z11.D}, P2/Z, [X28, X4,LSL #3]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50	vect (100.0%)
FMAD Z0.D, P1/M, Z30.D, Z11.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50	vect (100.0%)
ST1D {Z0.D}, P2, [X28, X4,LSL #3]	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	2	0.50	vect (100.0%)
LD1D {Z0.D}, P2/Z, [X22, X4,LSL #3]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50	vect (100.0%)
FMLA Z0.D, P1/M, Z8.D, Z30.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50	vect (100.0%)
ST1D {Z0.D}, P2, [X22, X4,LSL #3]	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	2	0.50	vect (100.0%)
ADD X4, X4, X8	1	0	0	0.25	0.25	0.25	0.25	0	0	0	0	0	0	1	0.25	N/A
SUB X25, X4, X8	1	0	0	0.25	0.25	0.25	0.25	0	0	0	0	0	0	1	0.25	N/A
WHILELO P2.D, X25, X15	1	0	0	0	0	1	0	0	0	0	0	0	0	3	2	N/A
B.MI 43cb20 <_ZN16miniqmcreference19MultiBsplineEvalRef12evaluate_vghIdEEvPKN11qmcplusplus14bspline_traitsIT_Lj3EE10SplineTypeES4_S4_S4_PS4_S9_S9_m+0x880>	1	0.50	0.50	0	0	0	0	0	0	0	0	0	0	1	0.50	N/A

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:242-262
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 76 FMA (fused multiply-add) operations.

Slow data structures access

Detected data structures (typically arrays) that cannot be efficiently read/written

Details

Constant unknown stride: 14 occurrence(s)

Non-unit stride (uncontiguous) accesses are not efficiently using data caches

Workaround

Try to reorganize arrays of structures to structures of arrays
Consider to permute loops (see vectorization gain report)

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

The binary loop is composed of 160 FP arithmetical operations:

76: addition or subtraction (all inside FMA instructions)
84: multiply (76 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	55
nb uops	55
loop length	220
used w registers	0
used x registers	14
used b registers	0
used h registers	0
used s registers	0
used d registers	0
used q registers	0
used v registers	0
used z registers	25
nb stack references	0

Front-end

MACRO FUSION NOT POSSIBLE FIT IN UOP CACHE

micro-operation queue	6.88 cycles
front end	6.88 cycles

Back-end

	P0	P1	P2	P3	P4	P5	P6	P7	P8	P9	P10	P11	P12	P13	P14
uops	0.50	0.50	2.25	2.25	2.25	2.25	10.50	10.50	5.00	5.00	12.00	12.00	0.00	0.00	0.00
cycles	0.50	0.50	2.25	2.25	2.25	2.25	10.50	10.50	10.50	10.50	12.00	12.00	0.00	0.00	0.00

Execution ports to units layout:

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

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

Cycles summary

Front-end	6.88
Dispatch	12.00
Data deps.	1.00
Overall L1	12.00

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

Vector efficiency 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	NA (no add-sub vectorizable/vectorized instructions)
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	NA (no add-sub vectorizable/vectorized instructions)
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 12.00 cycles. At this rate:

38% of peak load performance is reached (37.33 out of 96.00 bytes loaded per cycle (GB/s @ 1GHz))
55% of peak store performance is reached (26.67 out of 48.00 bytes stored per cycle (GB/s @ 1GHz))

Front-end bottlenecks

Found no such bottlenecks.

ASM code

In the binary file, the address of the loop is: 43cb20

Instruction	Nb FU	P0	P1	P2	P3	P4	P5	P6	P7	P8	P9	P10	P11	Latency	Recip. throughput	Vectorization
LD1D {Z11.D}, P2/Z, [X30, X4,LSL #3]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50	vect (100.0%)
LD1D {Z12.D}, P2/Z, [X18, X4,LSL #3]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50	vect (100.0%)
ADD X25, X19, X4,LSL #3	1	0	0	0.25	0.25	0.25	0.25	0	0	0	0	0	0	1	0.25	N/A
ADD X25, X25, X1	1	0	0	0.25	0.25	0.25	0.25	0	0	0	0	0	0	1	0.25	N/A
LD1D {Z13.D}, P2/Z, [X17, X4,LSL #3]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50	vect (100.0%)
LD1D {Z14.D}, P2/Z, [X14, X4,LSL #3]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50	vect (100.0%)
FMUL Z8.D, Z11.D, Z5.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	3	0.50	vect (100.0%)
LD1D {Z15.D}, P2/Z, [X25, MUL VL]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50	vect (100.0%)
FMUL Z0.D, Z12.D, Z19.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	3	0.50	vect (100.0%)
FMLA Z8.D, P1/M, Z12.D, Z6.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50	vect (100.0%)
FMLA Z0.D, P1/M, Z14.D, Z20.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50	vect (100.0%)
FMLA Z8.D, P1/M, Z13.D, Z7.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50	vect (100.0%)
FMLA Z0.D, P1/M, Z11.D, Z17.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50	vect (100.0%)
FMLA Z8.D, P1/M, Z16.D, Z14.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50	vect (100.0%)
FMLA Z0.D, P1/M, Z13.D, Z18.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50	vect (100.0%)
FMLA Z15.D, P1/M, Z31.D, Z8.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50	vect (100.0%)
ST1D {Z15.D}, P2, [X25, MUL VL]	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	2	0.50	vect (100.0%)
ADD X25, X25, X1	1	0	0	0.25	0.25	0.25	0.25	0	0	0	0	0	0	1	0.25	N/A
LD1D {Z15.D}, P2/Z, [X25, MUL VL]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50	vect (100.0%)
FMLA Z15.D, P1/M, Z0.D, Z9.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50	vect (100.0%)
ST1D {Z15.D}, P2, [X25, MUL VL]	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	2	0.50	vect (100.0%)
ADD X25, X25, X1	1	0	0	0.25	0.25	0.25	0.25	0	0	0	0	0	0	1	0.25	N/A
LD1D {Z15.D}, P2/Z, [X25, MUL VL]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50	vect (100.0%)
FMLA Z15.D, P1/M, Z29.D, Z8.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50	vect (100.0%)
ST1D {Z15.D}, P2, [X25, MUL VL]	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	2	0.50	vect (100.0%)
ADD X25, X25, X1	1	0	0	0.25	0.25	0.25	0.25	0	0	0	0	0	0	1	0.25	N/A
LD1D {Z15.D}, P2/Z, [X25, MUL VL]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50	vect (100.0%)
FMLA Z15.D, P1/M, Z0.D, Z28.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50	vect (100.0%)
ST1D {Z15.D}, P2, [X25, MUL VL]	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	2	0.50	vect (100.0%)
ADD X25, X25, X1	1	0	0	0.25	0.25	0.25	0.25	0	0	0	0	0	0	1	0.25	N/A
LD1D {Z15.D}, P2/Z, [X25, MUL VL]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50	vect (100.0%)
FMAD Z11.D, P1/M, Z25.D, Z15.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50	vect (100.0%)
LD1D {Z15.D}, P2/Z, [X19, X4,LSL #3]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50	vect (100.0%)
FMLA Z11.D, P1/M, Z12.D, Z24.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50	vect (100.0%)
LD1D {Z12.D}, P2/Z, [X20, X4,LSL #3]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50	vect (100.0%)
FMLA Z11.D, P1/M, Z13.D, Z26.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50	vect (100.0%)
FMLA Z11.D, P1/M, Z14.D, Z27.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50	vect (100.0%)
FMLA Z15.D, P1/M, Z10.D, Z8.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50	vect (100.0%)
FMLA Z12.D, P1/M, Z8.D, Z9.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50	vect (100.0%)
ST1D {Z11.D}, P2, [X25, MUL VL]	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	2	0.50	vect (100.0%)
LD1D {Z11.D}, P2/Z, [X27, X4,LSL #3]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50	vect (100.0%)
FMLA Z11.D, P1/M, Z8.D, Z28.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50	vect (100.0%)
ST1D {Z15.D}, P2, [X19, X4,LSL #3]	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	2	0.50	vect (100.0%)
ST1D {Z12.D}, P2, [X20, X4,LSL #3]	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	2	0.50	vect (100.0%)
ST1D {Z11.D}, P2, [X27, X4,LSL #3]	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	2	0.50	vect (100.0%)
LD1D {Z11.D}, P2/Z, [X28, X4,LSL #3]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50	vect (100.0%)
FMAD Z0.D, P1/M, Z30.D, Z11.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50	vect (100.0%)
ST1D {Z0.D}, P2, [X28, X4,LSL #3]	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	2	0.50	vect (100.0%)
LD1D {Z0.D}, P2/Z, [X22, X4,LSL #3]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50	vect (100.0%)
FMLA Z0.D, P1/M, Z8.D, Z30.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50	vect (100.0%)
ST1D {Z0.D}, P2, [X22, X4,LSL #3]	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	2	0.50	vect (100.0%)
ADD X4, X4, X8	1	0	0	0.25	0.25	0.25	0.25	0	0	0	0	0	0	1	0.25	N/A
SUB X25, X4, X8	1	0	0	0.25	0.25	0.25	0.25	0	0	0	0	0	0	1	0.25	N/A
WHILELO P2.D, X25, X15	1	0	0	0	0	1	0	0	0	0	0	0	0	3	2	N/A
B.MI 43cb20 <_ZN16miniqmcreference19MultiBsplineEvalRef12evaluate_vghIdEEvPKN11qmcplusplus14bspline_traitsIT_Lj3EE10SplineTypeES4_S4_S4_PS4_S9_S9_m+0x880>	1	0.50	0.50	0	0	0	0	0	0	0	0	0	0	1	0.50	N/A

Report Configuration

Vectorization

Details

FMA

Slow data structures access

Details

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

Vector efficiency ratios

Cycles and memory resources usage

Front-end bottlenecks

ASM code

Vectorization

Details

FMA

Slow data structures access

Details

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

Vector efficiency ratios

Cycles and memory resources usage

Front-end bottlenecks

ASM code