OV - exec - Loop 822

0x430380 ADD	X18, X10, X21,LSL #3

0x430384 LDR	Q4, [X0], #32    [4]

0x430388 ADD	X21, X21, #4

0x43038c SUBS	X11, X11, #4

0x430390 ADD	X23, X18, X22,LSL #3

0x430394 LDR	Q5, [X18, #16]    [6]

0x430398 LDP	Q6, Q7, [X23]    [3]

0x43039c ADD	X23, X18, X9

0x4303a0 FMUL	V4.2D, V4.2D, V2.D[0]

0x4303a4 FMUL	V5.2D, V5.2D, V2.D[0]

0x4303a8 FMLA	V4.2D, V6.2D, V3.D[0]

0x4303ac FMLA	V5.2D, V7.2D, V3.D[0]

0x4303b0 LDR	Q6, [X18, X22,LSL #4]    [6]

0x4303b4 LDR	Q7, [X23, #16]    [2]

0x4303b8 ADD	X18, X18, X14

0x4303bc FMLA	V5.2D, V7.2D, V1.D[0]

0x4303c0 FMLA	V4.2D, V6.2D, V1.D[0]

0x4303c4 LDP	Q6, Q7, [X18]    [5]

0x4303c8 FMLA	V5.2D, V7.2D, V0.D[0]

0x4303cc FMLA	V4.2D, V6.2D, V0.D[0]

0x4303d0 LDP	Q6, Q7, [X13, #2032]    [1]

0x4303d4 FADD	V5.2D, V5.2D, V7.2D

0x4303d8 FADD	V4.2D, V4.2D, V6.2D

0x4303dc STP	Q4, Q5, [X13, #2032]    [1]

0x4303e0 ADD	X13, X13, #32

0x4303e4 B.NE	430380

/home/hbollore/qaas/qaas-runs/174-135-6342/intel/miniqmc/build/miniqmc/src/Numerics/Spline2/MultiBsplineRef.hpp: 68 - 71

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

68:       for (size_t n = 0; n < num_splines; n++)

69:         vals[n] += pre00 *

70:             (c[0] * coefs[n] + c[1] * coefs[n + zs] + c[2] * coefs[n + 2 * zs] +

71:              c[3] * coefs[n + 3 * zs]);

Coverage (%)	Name	Source Location	Module
►100.00+	miniqmcreference::einspline_sp[...]	einspline_spo_ref.hpp:175	exec
○	miniqmcreference::einspline_sp[...]	einspline_spo_ref.hpp:183	exec
○	qmcplusplus::SPOSet::evaluateD[...]	OhmmsVector.h:178	exec
○	miniqmcreference::DiracDetermi[...]	DiracDeterminantRef.cpp:217	exec
○	qmcplusplus::WaveFunction::eva[...]	stl_vector.h:993	exec
○	qmcplusplus::NonLocalPP<double[...]	NonLocalPP.hpp:126	exec
○	main.omp_outlined.63	NewTimer.h:249	exec
○	__kmp_invoke_microtask		libomp.so

Coverage (%)	Name	Source Location	Module
►100.00+	miniqmcreference::einspline_sp[...]	einspline_spo_ref.hpp:175	exec
○	miniqmcreference::einspline_sp[...]	einspline_spo_ref.hpp:183	exec
○	qmcplusplus::SPOSet::evaluateD[...]	OhmmsVector.h:178	exec
○	miniqmcreference::DiracDetermi[...]	DiracDeterminantRef.cpp:217	exec
○	qmcplusplus::WaveFunction::eva[...]	stl_vector.h:993	exec
○	qmcplusplus::NonLocalPP<double[...]	NonLocalPP.hpp:126	exec
○	main.omp_outlined.63	NewTimer.h:249	exec
○	__kmp_invoke_microtask		libomp.so

Coverage (%)	Name	Source Location	Module
►100.00+	miniqmcreference::einspline_sp[...]	einspline_spo_ref.hpp:175	exec
○	miniqmcreference::einspline_sp[...]	einspline_spo_ref.hpp:183	exec
○	qmcplusplus::SPOSet::evaluateD[...]	OhmmsVector.h:178	exec
○	miniqmcreference::DiracDetermi[...]	DiracDeterminantRef.cpp:217	exec
○	qmcplusplus::WaveFunction::eva[...]	stl_vector.h:993	exec
○	qmcplusplus::NonLocalPP<double[...]	NonLocalPP.hpp:126	exec
○	main.omp_outlined.63	NewTimer.h:249	exec
○	__kmp_invoke_microtask		libomp.so

Coverage (%)	Name	Source Location	Module
►100.00+	miniqmcreference::einspline_sp[...]	einspline_spo_ref.hpp:175	exec
○	miniqmcreference::einspline_sp[...]	einspline_spo_ref.hpp:183	exec
○	qmcplusplus::SPOSet::evaluateD[...]	OhmmsVector.h:178	exec
○	miniqmcreference::DiracDetermi[...]	DiracDeterminantRef.cpp:217	exec
○	qmcplusplus::WaveFunction::eva[...]	stl_vector.h:993	exec
○	qmcplusplus::NonLocalPP<double[...]	NonLocalPP.hpp:126	exec
○	main.omp_outlined.63	NewTimer.h:249	exec
○	__kmp_invoke_microtask		libomp.so

Coverage (%)	Name	Source Location	Module
►100.00+	miniqmcreference::einspline_sp[...]	einspline_spo_ref.hpp:175	exec
○	miniqmcreference::einspline_sp[...]	einspline_spo_ref.hpp:183	exec
○	qmcplusplus::SPOSet::evaluateD[...]	OhmmsVector.h:178	exec
○	miniqmcreference::DiracDetermi[...]	DiracDeterminantRef.cpp:217	exec
○	qmcplusplus::WaveFunction::eva[...]	stl_vector.h:993	exec
○	qmcplusplus::NonLocalPP<double[...]	NonLocalPP.hpp:126	exec
○	main.omp_outlined.63	NewTimer.h:249	exec
○	__kmp_invoke_microtask		libomp.so

Coverage (%)	Name	Source Location	Module
►100.00+	miniqmcreference::einspline_sp[...]	einspline_spo_ref.hpp:175	exec
○	miniqmcreference::einspline_sp[...]	einspline_spo_ref.hpp:183	exec
○	qmcplusplus::SPOSet::evaluateD[...]	OhmmsVector.h:178	exec
○	miniqmcreference::DiracDetermi[...]	DiracDeterminantRef.cpp:217	exec
○	qmcplusplus::WaveFunction::eva[...]	stl_vector.h:993	exec
○	qmcplusplus::NonLocalPP<double[...]	NonLocalPP.hpp:126	exec
○	main.omp_outlined.63	NewTimer.h:249	exec
○	__kmp_invoke_microtask		libomp.so

Coverage (%)	Name	Source Location	Module
►100.00+	miniqmcreference::einspline_sp[...]	einspline_spo_ref.hpp:175	exec
○	miniqmcreference::einspline_sp[...]	einspline_spo_ref.hpp:183	exec
○	qmcplusplus::SPOSet::evaluateD[...]	OhmmsVector.h:178	exec
○	miniqmcreference::DiracDetermi[...]	DiracDeterminantRef.cpp:217	exec
○	qmcplusplus::WaveFunction::eva[...]	stl_vector.h:993	exec
○	qmcplusplus::NonLocalPP<double[...]	NonLocalPP.hpp:126	exec
○	main.omp_outlined.63	NewTimer.h:249	exec
○	__kmp_invoke_microtask		libomp.so

Coverage (%)	Name	Source Location	Module
►100.00+	miniqmcreference::einspline_sp[...]	einspline_spo_ref.hpp:175	exec
○	miniqmcreference::einspline_sp[...]	einspline_spo_ref.hpp:183	exec
○	qmcplusplus::SPOSet::evaluateD[...]	OhmmsVector.h:178	exec
○	miniqmcreference::DiracDetermi[...]	DiracDeterminantRef.cpp:217	exec
○	qmcplusplus::WaveFunction::eva[...]	stl_vector.h:993	exec
○	qmcplusplus::NonLocalPP<double[...]	NonLocalPP.hpp:126	exec
○	main.omp_outlined.63	NewTimer.h:249	exec
○	__kmp_invoke_microtask		libomp.so

Coverage (%)	Name	Source Location	Module
►100.00+	miniqmcreference::einspline_sp[...]	einspline_spo_ref.hpp:175	exec
○	miniqmcreference::einspline_sp[...]	einspline_spo_ref.hpp:183	exec
○	qmcplusplus::SPOSet::evaluateD[...]	OhmmsVector.h:178	exec
○	miniqmcreference::DiracDetermi[...]	DiracDeterminantRef.cpp:217	exec
○	qmcplusplus::WaveFunction::eva[...]	stl_vector.h:993	exec
○	qmcplusplus::NonLocalPP<double[...]	NonLocalPP.hpp:126	exec
○	main.omp_outlined.63	NewTimer.h:249	exec
○	__kmp_invoke_microtask		libomp.so

Coverage (%)	Name	Source Location	Module
►100.00+	miniqmcreference::einspline_sp[...]	einspline_spo_ref.hpp:175	exec
○	miniqmcreference::einspline_sp[...]	einspline_spo_ref.hpp:183	exec
○	qmcplusplus::SPOSet::evaluateD[...]	OhmmsVector.h:178	exec
○	miniqmcreference::DiracDetermi[...]	DiracDeterminantRef.cpp:217	exec
○	qmcplusplus::WaveFunction::eva[...]	stl_vector.h:993	exec
○	qmcplusplus::NonLocalPP<double[...]	NonLocalPP.hpp:126	exec
○	main.omp_outlined.63	NewTimer.h:249	exec
○	__kmp_invoke_microtask		libomp.so

Coverage (%)	Name	Source Location	Module
►100.00+	miniqmcreference::einspline_sp[...]	einspline_spo_ref.hpp:175	exec
○	miniqmcreference::einspline_sp[...]	einspline_spo_ref.hpp:183	exec
○	qmcplusplus::SPOSet::evaluateD[...]	OhmmsVector.h:178	exec
○	miniqmcreference::DiracDetermi[...]	DiracDeterminantRef.cpp:217	exec
○	qmcplusplus::WaveFunction::eva[...]	stl_vector.h:993	exec
○	qmcplusplus::NonLocalPP<double[...]	NonLocalPP.hpp:126	exec
○	main.omp_outlined.63	NewTimer.h:249	exec
○	__kmp_invoke_microtask		libomp.so

Coverage (%)	Name	Source Location	Module
►100.00+	miniqmcreference::einspline_sp[...]	einspline_spo_ref.hpp:175	exec
○	miniqmcreference::einspline_sp[...]	einspline_spo_ref.hpp:183	exec
○	qmcplusplus::SPOSet::evaluateD[...]	OhmmsVector.h:178	exec
○	miniqmcreference::DiracDetermi[...]	DiracDeterminantRef.cpp:217	exec
○	qmcplusplus::WaveFunction::eva[...]	stl_vector.h:993	exec
○	qmcplusplus::NonLocalPP<double[...]	NonLocalPP.hpp:126	exec
○	main.omp_outlined.63	NewTimer.h:249	exec
○	__kmp_invoke_microtask		libomp.so

Coverage (%)	Name	Source Location	Module
►100.00+	miniqmcreference::einspline_sp[...]	einspline_spo_ref.hpp:175	exec
○	miniqmcreference::einspline_sp[...]	einspline_spo_ref.hpp:183	exec
○	qmcplusplus::SPOSet::evaluateD[...]	OhmmsVector.h:178	exec
○	miniqmcreference::DiracDetermi[...]	DiracDeterminantRef.cpp:217	exec
○	qmcplusplus::WaveFunction::eva[...]	stl_vector.h:993	exec
○	qmcplusplus::NonLocalPP<double[...]	NonLocalPP.hpp:126	exec
○	main.omp_outlined.63	NewTimer.h:249	exec
○	__kmp_invoke_microtask		libomp.so

Coverage (%)	Name	Source Location	Module
►100.00+	miniqmcreference::einspline_sp[...]	einspline_spo_ref.hpp:175	exec
○	miniqmcreference::einspline_sp[...]	einspline_spo_ref.hpp:183	exec
○	qmcplusplus::SPOSet::evaluateD[...]	OhmmsVector.h:178	exec
○	miniqmcreference::DiracDetermi[...]	DiracDeterminantRef.cpp:217	exec
○	qmcplusplus::WaveFunction::eva[...]	stl_vector.h:993	exec
○	qmcplusplus::NonLocalPP<double[...]	NonLocalPP.hpp:126	exec
○	main.omp_outlined.63	NewTimer.h:249	exec
○	__kmp_invoke_microtask		libomp.so

Coverage (%)	Name	Source Location	Module
►100.00+	miniqmcreference::einspline_sp[...]	einspline_spo_ref.hpp:175	exec
○	miniqmcreference::einspline_sp[...]	einspline_spo_ref.hpp:183	exec
○	qmcplusplus::SPOSet::evaluateD[...]	OhmmsVector.h:178	exec
○	miniqmcreference::DiracDetermi[...]	DiracDeterminantRef.cpp:217	exec
○	qmcplusplus::WaveFunction::eva[...]	stl_vector.h:993	exec
○	qmcplusplus::NonLocalPP<double[...]	NonLocalPP.hpp:126	exec
○	main.omp_outlined.63	NewTimer.h:249	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	1.15
CQA speedup if FP arith vectorized	1.00
CQA speedup if fully vectorized	1.04
CQA speedup if no inter-iteration dependency	NA
CQA speedup if next bottleneck killed	1.15
Bottlenecks	micro-operation queue,
Function	void miniqmcreference::MultiBsplineEvalRef::evaluate_v(qmcplusplus::bspline_traits::SplineType const, double, double, double, double, unsigned long)
Source	MultiBsplineRef.hpp:68-71
Source loop unroll info	unrolled by 4
Source loop unroll confidence level	max
Unroll/vectorization loop type	NA
Unroll factor	4
CQA cycles	3.25
CQA cycles if no scalar integer	2.83
CQA cycles if FP arith vectorized	3.25
CQA cycles if fully vectorized	3.13
Front-end cycles	3.25
P0 cycles	0.50
P1 cycles	0.50
P2 cycles	1.42
P3 cycles	1.42
P4 cycles	1.33
P5 cycles	1.33
P6 cycles	1.25
P7 cycles	1.25
P8 cycles	2.75
P9 cycles	2.75
P10 cycles	2.75
P11 cycles	2.75
P12 cycles	2.83
P13 cycles	2.50
P14 cycles	2.67
P15 cycles	0.00
P16 cycles	0.00
DIV/SQRT cycles	0.00
Inter-iter dependencies cycles	1
FE+BE cycles (UFS)	NA
Stall cycles (UFS)	NA
Nb insns	26.00
Nb uops	26.00
Nb loads	NA
Nb stores	1.00
Nb stack references	0.00
FLOP/cycle	9.85
Nb FLOP add-sub	4.00
Nb FLOP mul	4.00
Nb FLOP fma	12.00
Nb FLOP div	0.00
Nb FLOP rcp	0.00
Nb FLOP sqrt	0.00
Nb FLOP rsqrt	0.00
Bytes/cycle	59.08
Bytes prefetched	0.00
Bytes loaded	160.00
Bytes stored	32.00
Stride 0	1.00
Stride 1	1.00
Stride n	0.00
Stride unknown	4.00
Stride indirect	0.00
Vectorization ratio all	90.00
Vectorization ratio load	100.00
Vectorization ratio store	100.00
Vectorization ratio mul	100.00
Vectorization ratio add_sub	50.00
Vectorization ratio fma	100.00
Vectorization ratio div_sqrt	NA
Vectorization ratio other	NA
Vector-efficiency ratio all	95.00
Vector-efficiency ratio load	100.00
Vector-efficiency ratio store	100.00
Vector-efficiency ratio mul	100.00
Vector-efficiency ratio add_sub	75.00
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	1.15
CQA speedup if FP arith vectorized	1.00
CQA speedup if fully vectorized	1.04
CQA speedup if no inter-iteration dependency	NA
CQA speedup if next bottleneck killed	1.15
Bottlenecks	micro-operation queue,
Function	void miniqmcreference::MultiBsplineEvalRef::evaluate_v(qmcplusplus::bspline_traits::SplineType const, double, double, double, double, unsigned long)
Source	MultiBsplineRef.hpp:68-71
Source loop unroll info	unrolled by 4
Source loop unroll confidence level	max
Unroll/vectorization loop type	NA
Unroll factor	4
CQA cycles	3.25
CQA cycles if no scalar integer	2.83
CQA cycles if FP arith vectorized	3.25
CQA cycles if fully vectorized	3.13
Front-end cycles	3.25
P0 cycles	0.50
P1 cycles	0.50
P2 cycles	1.42
P3 cycles	1.42
P4 cycles	1.33
P5 cycles	1.33
P6 cycles	1.25
P7 cycles	1.25
P8 cycles	2.75
P9 cycles	2.75
P10 cycles	2.75
P11 cycles	2.75
P12 cycles	2.83
P13 cycles	2.50
P14 cycles	2.67
P15 cycles	0.00
P16 cycles	0.00
DIV/SQRT cycles	0.00
Inter-iter dependencies cycles	1
FE+BE cycles (UFS)	NA
Stall cycles (UFS)	NA
Nb insns	26.00
Nb uops	26.00
Nb loads	NA
Nb stores	1.00
Nb stack references	0.00
FLOP/cycle	9.85
Nb FLOP add-sub	4.00
Nb FLOP mul	4.00
Nb FLOP fma	12.00
Nb FLOP div	0.00
Nb FLOP rcp	0.00
Nb FLOP sqrt	0.00
Nb FLOP rsqrt	0.00
Bytes/cycle	59.08
Bytes prefetched	0.00
Bytes loaded	160.00
Bytes stored	32.00
Stride 0	1.00
Stride 1	1.00
Stride n	0.00
Stride unknown	4.00
Stride indirect	0.00
Vectorization ratio all	90.00
Vectorization ratio load	100.00
Vectorization ratio store	100.00
Vectorization ratio mul	100.00
Vectorization ratio add_sub	50.00
Vectorization ratio fma	100.00
Vectorization ratio div_sqrt	NA
Vectorization ratio other	NA
Vector-efficiency ratio all	95.00
Vector-efficiency ratio load	100.00
Vector-efficiency ratio store	100.00
Vector-efficiency ratio mul	100.00
Vector-efficiency ratio add_sub	75.00
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_v(qmcplusplus::bspline_traits::SplineType const, double, double, double, double, unsigned long)
Source file and lines	MultiBsplineRef.hpp:68-71
Module	exec

The loop is defined in /home/hbollore/qaas/qaas-runs/174-135-6342/intel/miniqmc/build/miniqmc/src/Numerics/Spline2/MultiBsplineRef.hpp:68-71.

The related source loop is unrolled by 4 (including vectorization).

gain
potential
hint
expert

Code clean check

Detected a slowdown caused by scalar integer instructions (typically used for address computation). By removing them, you can lower the cost of an iteration from 3.25 to 2.83 cycles (1.15x speedup).

Workaround

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

Vectorization

Your loop is highly vectorized. 95% of vector register length is used (average across all VPU instructions). By fully vectorizing your loop, you can lower the cost of an iteration from 3.25 to 3.12 cycles (1.04x speedup).

Details

90% of VPU instructions are used in vector version (process two or more data elements in vector registers):

50% of VPU addition or subtraction instructions are used in vector version.

Since your execution units are vector units, only a fully vectorized loop can use their full power.

FMA

Detected 12 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 32 FP arithmetical operations:

16: addition or subtraction (12 inside FMA instructions)
16: multiply (12 inside FMA instructions)

The binary loop is loading 160 bytes. The binary loop is storing 32 bytes.

Arithmetic intensity

Arithmetic intensity is 0.17 FP operations per loaded or stored byte.

General properties

nb instructions	26
loop length	104
nb stack references	0

Front-end

FIT IN UOP CACHE

front end

3.25 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	1.42	1.42	1.33	1.33	1.25	1.25	2.75	2.75	2.75	2.75	2.83	2.50	2.67	0.00	0.00
cycles	0.50	0.50	1.42	1.42	1.33	1.33	1.25	1.25	2.75	2.75	2.75	2.75	2.83	2.50	2.67	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	NA
Longest recurrence chain latency (RecMII)	1.00

Cycles summary

Front-end	3.25
Data deps.	1.00
Overall L1	3.25

Vectorization ratios

INT

all	80%
load	100%
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)

FP

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	90%
load	100%
store	100%
mul	100%
add-sub	50%
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 3.25 cycles. At this rate:

51% of peak load performance is reached (49.23 out of 96.00 bytes loaded per cycle (GB/s @ 1GHz))
20% of peak store performance is reached (9.85 out of 48.00 bytes stored per cycle (GB/s @ 1GHz))

ASM code

In the binary file, the address of the loop is: 430380

Instruction	Nb FU	P0	P1	P2	P3	P4	P5	P6	P7	P8	P9	P10	P11	P12	P13	P14	Latency	Recip. throughput	Vectorization
ADD X18, X10, X21,LSL #3	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
LDR Q4, [X0], #32	1	0	0	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (100.0%)
ADD X21, X21, #4	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 (50.0%)
SUBS X11, X11, #4	1	0	0	0.25	0.25	0	0	0.25	0.25	0	0	0	0	0	0	0	1	0.33	scal (50.0%)
ADD X23, X18, X22,LSL #3	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
LDR Q5, [X18, #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%)
LDP Q6, Q7, [X23]	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 X23, X18, X9	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
FMUL V4.2D, V4.2D, V2.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 V5.2D, V5.2D, V2.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 V4.2D, V6.2D, V3.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%)
FMLA V5.2D, V7.2D, V3.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 Q6, [X18, X22,LSL #4]	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, [X23, #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%)
ADD X18, X18, X14	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
FMLA V5.2D, V7.2D, V1.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%)
FMLA V4.2D, V6.2D, V1.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%)
LDP Q6, Q7, [X18]	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%)
FMLA V5.2D, V7.2D, V0.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%)
FMLA V4.2D, V6.2D, V0.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%)
LDP Q6, Q7, [X13, #2032]	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%)
FADD V5.2D, V5.2D, 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%)
FADD V4.2D, V4.2D, V6.2D	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%)
STP Q4, Q5, [X13, #2032]	1	0	0	0	0	0	0	0	0	0.50	0.50	0	0	0.50	0.50	0	2	1	vect (100.0%)
ADD X13, X13, #32	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
B.NE 430380 <_ZN16miniqmcreference19MultiBsplineEvalRef10evaluate_vIdEEvPKN11qmcplusplus14bspline_traitsIT_Lj3EE10SplineTypeES4_S4_S4_PS4_m+0x780>	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 miniqmcreference::MultiBsplineEvalRef::evaluate_v(qmcplusplus::bspline_traits::SplineType const, double, double, double, double, unsigned long)
Source file and lines	MultiBsplineRef.hpp:68-71
Module	exec

The loop is defined in /home/hbollore/qaas/qaas-runs/174-135-6342/intel/miniqmc/build/miniqmc/src/Numerics/Spline2/MultiBsplineRef.hpp:68-71.

The related source loop is unrolled by 4 (including vectorization).

gain
potential
hint
expert

Code clean check

Detected a slowdown caused by scalar integer instructions (typically used for address computation). By removing them, you can lower the cost of an iteration from 3.25 to 2.83 cycles (1.15x speedup).

Workaround

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

Vectorization

Your loop is highly vectorized. 95% of vector register length is used (average across all VPU instructions). By fully vectorizing your loop, you can lower the cost of an iteration from 3.25 to 3.12 cycles (1.04x speedup).

Details

90% of VPU instructions are used in vector version (process two or more data elements in vector registers):

50% of VPU addition or subtraction instructions are used in vector version.

Since your execution units are vector units, only a fully vectorized loop can use their full power.

FMA

Detected 12 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 32 FP arithmetical operations:

16: addition or subtraction (12 inside FMA instructions)
16: multiply (12 inside FMA instructions)

The binary loop is loading 160 bytes. The binary loop is storing 32 bytes.

Arithmetic intensity

Arithmetic intensity is 0.17 FP operations per loaded or stored byte.

General properties

nb instructions	26
loop length	104
nb stack references	0

Front-end

FIT IN UOP CACHE

front end

3.25 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	1.42	1.42	1.33	1.33	1.25	1.25	2.75	2.75	2.75	2.75	2.83	2.50	2.67	0.00	0.00
cycles	0.50	0.50	1.42	1.42	1.33	1.33	1.25	1.25	2.75	2.75	2.75	2.75	2.83	2.50	2.67	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	NA
Longest recurrence chain latency (RecMII)	1.00

Cycles summary

Front-end	3.25
Data deps.	1.00
Overall L1	3.25

Vectorization ratios

INT

all	80%
load	100%
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)

FP

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	90%
load	100%
store	100%
mul	100%
add-sub	50%
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 3.25 cycles. At this rate:

51% of peak load performance is reached (49.23 out of 96.00 bytes loaded per cycle (GB/s @ 1GHz))
20% of peak store performance is reached (9.85 out of 48.00 bytes stored per cycle (GB/s @ 1GHz))

ASM code

In the binary file, the address of the loop is: 430380

Instruction	Nb FU	P0	P1	P2	P3	P4	P5	P6	P7	P8	P9	P10	P11	P12	P13	P14	Latency	Recip. throughput	Vectorization
ADD X18, X10, X21,LSL #3	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
LDR Q4, [X0], #32	1	0	0	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (100.0%)
ADD X21, X21, #4	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 (50.0%)
SUBS X11, X11, #4	1	0	0	0.25	0.25	0	0	0.25	0.25	0	0	0	0	0	0	0	1	0.33	scal (50.0%)
ADD X23, X18, X22,LSL #3	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
LDR Q5, [X18, #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%)
LDP Q6, Q7, [X23]	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 X23, X18, X9	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
FMUL V4.2D, V4.2D, V2.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 V5.2D, V5.2D, V2.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 V4.2D, V6.2D, V3.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%)
FMLA V5.2D, V7.2D, V3.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 Q6, [X18, X22,LSL #4]	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, [X23, #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%)
ADD X18, X18, X14	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
FMLA V5.2D, V7.2D, V1.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%)
FMLA V4.2D, V6.2D, V1.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%)
LDP Q6, Q7, [X18]	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%)
FMLA V5.2D, V7.2D, V0.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%)
FMLA V4.2D, V6.2D, V0.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%)
LDP Q6, Q7, [X13, #2032]	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%)
FADD V5.2D, V5.2D, 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%)
FADD V4.2D, V4.2D, V6.2D	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%)
STP Q4, Q5, [X13, #2032]	1	0	0	0	0	0	0	0	0	0.50	0.50	0	0	0.50	0.50	0	2	1	vect (100.0%)
ADD X13, X13, #32	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
B.NE 430380 <_ZN16miniqmcreference19MultiBsplineEvalRef10evaluate_vIdEEvPKN11qmcplusplus14bspline_traitsIT_Lj3EE10SplineTypeES4_S4_S4_PS4_m+0x780>	1	0.50	0.50	0	0	0	0	0	0	0	0	0	0	0	0	0	1	0.50	N/A

▶Scalability Runs Description

Run 1x1	Number processes: 1Number nodes: 1Run Command: <executable> -g "4 2 2" -bMPI Command: mpirun -n <number_processes> --bind-to core --map-by package:PE=96 --rank-by fill --report-bindings Dataset: Run Directory: /home/hbollore/qaas/qaas-runs/174-135-6342/intel/miniqmc/run/oneview_runs/multicore/armclang/oneview_run_1741388363OMP_PROC_BIND: spreadOMP_DISPLAY_AFFINITY: TRUEOMP_AFFINITY_FORMAT: 'OMP: pid %P tid %i thread %n bound to OS proc set {%A}'OMP_DISPLAY_ENV: TRUEOMP_NUM_THREADS: 1OMP_PLACES: threads
Run 1x2	Number processes: 1Number nodes: 1Run Command: <executable> -g "4 2 2" -bMPI Command: mpirun -n <number_processes> --bind-to core --map-by package:PE=96 --rank-by fill --report-bindings Dataset: Run Directory: /home/hbollore/qaas/qaas-runs/174-135-6342/intel/miniqmc/run/oneview_runs/multicore/armclang/oneview_run_1741388363OMP_NUM_THREADS: 2OMP_PROC_BIND: spreadOMP_DISPLAY_AFFINITY: TRUEOMP_AFFINITY_FORMAT: 'OMP: pid %P tid %i thread %n bound to OS proc set {%A}'OMP_DISPLAY_ENV: TRUEOMP_PLACES: threads
Run 1x4	Number processes: 1Number nodes: 1Run Command: <executable> -g "4 2 2" -bMPI Command: mpirun -n <number_processes> --bind-to core --map-by package:PE=96 --rank-by fill --report-bindings Dataset: Run Directory: /home/hbollore/qaas/qaas-runs/174-135-6342/intel/miniqmc/run/oneview_runs/multicore/armclang/oneview_run_1741388363OMP_NUM_THREADS: 4OMP_PROC_BIND: spreadOMP_DISPLAY_AFFINITY: TRUEOMP_AFFINITY_FORMAT: 'OMP: pid %P tid %i thread %n bound to OS proc set {%A}'OMP_DISPLAY_ENV: TRUEOMP_PLACES: threads
Run 1x8	Number processes: 1Number nodes: 1Run Command: <executable> -g "4 2 2" -bMPI Command: mpirun -n <number_processes> --bind-to core --map-by package:PE=96 --rank-by fill --report-bindings Dataset: Run Directory: /home/hbollore/qaas/qaas-runs/174-135-6342/intel/miniqmc/run/oneview_runs/multicore/armclang/oneview_run_1741388363OMP_NUM_THREADS: 8OMP_PROC_BIND: spreadOMP_DISPLAY_AFFINITY: TRUEOMP_AFFINITY_FORMAT: 'OMP: pid %P tid %i thread %n bound to OS proc set {%A}'OMP_DISPLAY_ENV: TRUEOMP_PLACES: threads
Run 1x16	Number processes: 1Number nodes: 1Run Command: <executable> -g "4 2 2" -bMPI Command: mpirun -n <number_processes> --bind-to core --map-by package:PE=96 --rank-by fill --report-bindings Dataset: Run Directory: /home/hbollore/qaas/qaas-runs/174-135-6342/intel/miniqmc/run/oneview_runs/multicore/armclang/oneview_run_1741388363OMP_NUM_THREADS: 16OMP_PROC_BIND: spreadOMP_DISPLAY_AFFINITY: TRUEOMP_AFFINITY_FORMAT: 'OMP: pid %P tid %i thread %n bound to OS proc set {%A}'OMP_DISPLAY_ENV: TRUEOMP_PLACES: threads
Run 1x24	Number processes: 1Number nodes: 1Run Command: <executable> -g "4 2 2" -bMPI Command: mpirun -n <number_processes> --bind-to core --map-by package:PE=96 --rank-by fill --report-bindings Dataset: Run Directory: /home/hbollore/qaas/qaas-runs/174-135-6342/intel/miniqmc/run/oneview_runs/multicore/armclang/oneview_run_1741388363OMP_NUM_THREADS: 24OMP_PROC_BIND: spreadOMP_DISPLAY_AFFINITY: TRUEOMP_AFFINITY_FORMAT: 'OMP: pid %P tid %i thread %n bound to OS proc set {%A}'OMP_DISPLAY_ENV: TRUEOMP_PLACES: threads
Run 1x32	Number processes: 1Number nodes: 1Run Command: <executable> -g "4 2 2" -bMPI Command: mpirun -n <number_processes> --bind-to core --map-by package:PE=96 --rank-by fill --report-bindings Dataset: Run Directory: /home/hbollore/qaas/qaas-runs/174-135-6342/intel/miniqmc/run/oneview_runs/multicore/armclang/oneview_run_1741388363OMP_NUM_THREADS: 32OMP_PROC_BIND: spreadOMP_DISPLAY_AFFINITY: TRUEOMP_AFFINITY_FORMAT: 'OMP: pid %P tid %i thread %n bound to OS proc set {%A}'OMP_DISPLAY_ENV: TRUEOMP_PLACES: threads
Run 1x40	Number processes: 1Number nodes: 1Run Command: <executable> -g "4 2 2" -bMPI Command: mpirun -n <number_processes> --bind-to core --map-by package:PE=96 --rank-by fill --report-bindings Dataset: Run Directory: /home/hbollore/qaas/qaas-runs/174-135-6342/intel/miniqmc/run/oneview_runs/multicore/armclang/oneview_run_1741388363OMP_NUM_THREADS: 40OMP_PROC_BIND: spreadOMP_DISPLAY_AFFINITY: TRUEOMP_AFFINITY_FORMAT: 'OMP: pid %P tid %i thread %n bound to OS proc set {%A}'OMP_DISPLAY_ENV: TRUEOMP_PLACES: threads
Run 1x48	Number processes: 1Number nodes: 1Run Command: <executable> -g "4 2 2" -bMPI Command: mpirun -n <number_processes> --bind-to core --map-by package:PE=96 --rank-by fill --report-bindings Dataset: Run Directory: /home/hbollore/qaas/qaas-runs/174-135-6342/intel/miniqmc/run/oneview_runs/multicore/armclang/oneview_run_1741388363OMP_NUM_THREADS: 48OMP_PROC_BIND: spreadOMP_DISPLAY_AFFINITY: TRUEOMP_AFFINITY_FORMAT: 'OMP: pid %P tid %i thread %n bound to OS proc set {%A}'OMP_DISPLAY_ENV: TRUEOMP_PLACES: threads
Run 1x56	Number processes: 1Number nodes: 1Run Command: <executable> -g "4 2 2" -bMPI Command: mpirun -n <number_processes> --bind-to core --map-by package:PE=96 --rank-by fill --report-bindings Dataset: Run Directory: /home/hbollore/qaas/qaas-runs/174-135-6342/intel/miniqmc/run/oneview_runs/multicore/armclang/oneview_run_1741388363OMP_NUM_THREADS: 56OMP_PROC_BIND: spreadOMP_DISPLAY_AFFINITY: TRUEOMP_AFFINITY_FORMAT: 'OMP: pid %P tid %i thread %n bound to OS proc set {%A}'OMP_DISPLAY_ENV: TRUEOMP_PLACES: threads
Run 1x64	Number processes: 1Number nodes: 1Run Command: <executable> -g "4 2 2" -bMPI Command: mpirun -n <number_processes> --bind-to core --map-by package:PE=96 --rank-by fill --report-bindings Dataset: Run Directory: /home/hbollore/qaas/qaas-runs/174-135-6342/intel/miniqmc/run/oneview_runs/multicore/armclang/oneview_run_1741388363OMP_NUM_THREADS: 64OMP_PROC_BIND: spreadOMP_DISPLAY_AFFINITY: TRUEOMP_AFFINITY_FORMAT: 'OMP: pid %P tid %i thread %n bound to OS proc set {%A}'OMP_DISPLAY_ENV: TRUEOMP_PLACES: threads
Run 1x72	Number processes: 1Number nodes: 1Run Command: <executable> -g "4 2 2" -bMPI Command: mpirun -n <number_processes> --bind-to core --map-by package:PE=96 --rank-by fill --report-bindings Dataset: Run Directory: /home/hbollore/qaas/qaas-runs/174-135-6342/intel/miniqmc/run/oneview_runs/multicore/armclang/oneview_run_1741388363OMP_NUM_THREADS: 72OMP_PROC_BIND: spreadOMP_DISPLAY_AFFINITY: TRUEOMP_AFFINITY_FORMAT: 'OMP: pid %P tid %i thread %n bound to OS proc set {%A}'OMP_DISPLAY_ENV: TRUEOMP_PLACES: threads
Run 1x80	Number processes: 1Number nodes: 1Run Command: <executable> -g "4 2 2" -bMPI Command: mpirun -n <number_processes> --bind-to core --map-by package:PE=96 --rank-by fill --report-bindings Dataset: Run Directory: /home/hbollore/qaas/qaas-runs/174-135-6342/intel/miniqmc/run/oneview_runs/multicore/armclang/oneview_run_1741388363OMP_NUM_THREADS: 80OMP_PROC_BIND: spreadOMP_DISPLAY_AFFINITY: TRUEOMP_AFFINITY_FORMAT: 'OMP: pid %P tid %i thread %n bound to OS proc set {%A}'OMP_DISPLAY_ENV: TRUEOMP_PLACES: threads
Run 1x88	Number processes: 1Number nodes: 1Run Command: <executable> -g "4 2 2" -bMPI Command: mpirun -n <number_processes> --bind-to core --map-by package:PE=96 --rank-by fill --report-bindings Dataset: Run Directory: /home/hbollore/qaas/qaas-runs/174-135-6342/intel/miniqmc/run/oneview_runs/multicore/armclang/oneview_run_1741388363OMP_NUM_THREADS: 88OMP_PROC_BIND: spreadOMP_DISPLAY_AFFINITY: TRUEOMP_AFFINITY_FORMAT: 'OMP: pid %P tid %i thread %n bound to OS proc set {%A}'OMP_DISPLAY_ENV: TRUEOMP_PLACES: threads
Run 1x96	Number processes: 1Number nodes: 1Run Command: <executable> -g "4 2 2" -bMPI Command: mpirun -n <number_processes> --bind-to core --map-by package:PE=96 --rank-by fill --report-bindings Dataset: Run Directory: /home/hbollore/qaas/qaas-runs/174-135-6342/intel/miniqmc/run/oneview_runs/multicore/armclang/oneview_run_1741388363OMP_NUM_THREADS: 96OMP_PROC_BIND: spreadOMP_DISPLAY_AFFINITY: TRUEOMP_AFFINITY_FORMAT: 'OMP: pid %P tid %i thread %n bound to OS proc set {%A}'OMP_DISPLAY_ENV: TRUEOMP_PLACES: threads

(1x1) Efficiency	(1x1) Potential Speed-Up (%)	(1x2) Efficiency	(1x2) Potential Speed-Up (%)	(1x4) Efficiency	(1x4) Potential Speed-Up (%)	(1x8) Efficiency	(1x8) Potential Speed-Up (%)	(1x16) Efficiency	(1x16) Potential Speed-Up (%)	(1x24) Efficiency	(1x24) Potential Speed-Up (%)	(1x32) Efficiency	(1x32) Potential Speed-Up (%)	(1x40) Efficiency	(1x40) Potential Speed-Up (%)	(1x48) Efficiency	(1x48) Potential Speed-Up (%)	(1x56) Efficiency	(1x56) Potential Speed-Up (%)	(1x64) Efficiency	(1x64) Potential Speed-Up (%)	(1x72) Efficiency	(1x72) Potential Speed-Up (%)	(1x80) Efficiency	(1x80) Potential Speed-Up (%)	(1x88) Efficiency	(1x88) Potential Speed-Up (%)	(1x96) Efficiency	(1x96) Potential Speed-Up (%)
1	0	0.99	0.04	0.94	0.22	0.81	0.77	0.63	1.66	0.57	1.9	0.46	2.58	0.39	3.19	0.33	3.71	0.3	4.02	0.26	4.31	0.25	4.4	0.23	4.56	0.21	4.6	0.19	4.79

Speed-Up and Efficiency

▶Detailed Speed-Up and Efficiency

Run	Number of threads	Efficiency (ideal is 1)	Speedup	Ideal Speedup	Time (s)	Coverage (%)
1x1	1	1	1	1	1.5850001573563	3.6830580234528
1x2	2	0.99	0.99	2	1.6499997377396	3.6602530479431
1x4	4	0.94	0.94	4	1.8099998235703	3.7481560707092
1x8	8	0.81	0.81	8	2.1549997329712	4.0633897781372
1x16	16	0.63	0.63	16	2.6499993801117	4.451856136322
1x24	24	0.57	0.57	24	3.0049993991852	4.4251036643982
1x32	32	0.46	0.46	32	3.6449999809265	4.7908205986023
1x40	40	0.39	0.39	40	4.4449987411499	5.2028665542603
1x48	48	0.33	0.33	48	4.9449996948242	5.558482170105
1x56	56	0.3	0.3	56	5.7199988365173	5.7200427055359
1x64	64	0.26	0.26	64	6.3499984741211	5.8671269416809
1x72	72	0.25	0.25	72	6.9099998474121	5.8308606147766
1x80	80	0.23	0.23	80	7.654999256134	5.8813695907593
1x88	88	0.21	0.21	88	7.8900003433228	5.8471927642822
1x96	96	0.19	0.19	96	8.5749979019165	5.9423570632935

Report Configuration

Code clean check

Workaround

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

Code clean check

Workaround

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

▶Scalability Runs Description

▼Columns Filter

Speed-Up and Efficiency

▶Detailed Speed-Up and Efficiency