OV - - Loop 980

	Loop Id: 980	Module: exec	Source: inner_product.hpp:155-155 [...]	Coverage: 0.1%

0x4942a3 VMOVUPD	(%R12),%ZMM4    [1]

0x4942aa VMOVUPD	(%R12),%ZMM2    [1]

0x4942b1 VMOVUPD	(%R12),%ZMM0    [1]

0x4942b8 ADD	$0x100,%R11

0x4942bf VMOVUPD	0x140(%R12),%ZMM13    [1]

0x4942c7 VMOVUPD	0xc0(%R12),%ZMM14    [1]

0x4942cf VMOVUPD	0x180(%R12),%ZMM6    [1]

0x4942d7 ADD	$0x300,%R12

0x4942de VPERMT2PD	-0x2c0(%R12),%ZMM12,%ZMM4    [2]

0x4942e6 VPERMT2PD	-0x2c0(%R12),%ZMM10,%ZMM2    [2]

0x4942ee VPERMT2PD	-0x2c0(%R12),%ZMM8,%ZMM0    [2]

0x4942f6 VPERMT2PD	-0x280(%R12),%ZMM9,%ZMM2    [2]

0x4942fe VFMADD231PD	-0x100(%R11),%ZMM2,%ZMM3    [3]

0x494305 VMOVUPD	-0x240(%R12),%ZMM2    [2]

0x49430d VPERMT2PD	-0x280(%R12),%ZMM11,%ZMM4    [2]

0x494315 VPERMT2PD	-0x280(%R12),%ZMM7,%ZMM0    [2]

0x49431d VFMADD132PD	-0x100(%R11),%ZMM1,%ZMM4    [3]

0x494324 VFMADD132PD	-0x100(%R11),%ZMM5,%ZMM0    [3]

0x49432b VMOVUPD	-0x200(%R12),%ZMM1    [2]

0x494333 VMOVUPD	-0x240(%R12),%ZMM5    [2]

0x49433b VPERMT2PD	%ZMM1,%ZMM8,%ZMM2

0x494341 VPERMT2PD	%ZMM1,%ZMM12,%ZMM5

0x494347 VPERMT2PD	%ZMM1,%ZMM10,%ZMM14

0x49434d VMOVUPD	-0x140(%R12),%ZMM1    [2]

0x494355 VPERMT2PD	%ZMM13,%ZMM11,%ZMM5

0x49435b VPERMT2PD	%ZMM13,%ZMM7,%ZMM2

0x494361 VFMADD132PD	-0xc0(%R11),%ZMM4,%ZMM5    [3]

0x494368 VFMADD132PD	-0xc0(%R11),%ZMM0,%ZMM2    [3]

0x49436f VMOVUPD	-0x180(%R12),%ZMM4    [2]

0x494377 VMOVUPD	-0x180(%R12),%ZMM0    [2]

0x49437f VPERMT2PD	%ZMM13,%ZMM9,%ZMM14

0x494385 VMOVUPD	-0x100(%R12),%ZMM13    [2]

0x49438d VFMADD231PD	-0xc0(%R11),%ZMM14,%ZMM3    [3]

0x494394 VMOVUPD	-0x80(%R12),%ZMM14    [2]

0x49439c VPERMT2PD	%ZMM1,%ZMM10,%ZMM6

0x4943a2 VPERMT2PD	%ZMM1,%ZMM12,%ZMM4

0x4943a8 VPERMT2PD	%ZMM1,%ZMM8,%ZMM0

0x4943ae VPERMT2PD	%ZMM13,%ZMM9,%ZMM6

0x4943b4 VMOVUPD	-0xc0(%R12),%ZMM1    [2]

0x4943bc VFMADD231PD	-0x80(%R11),%ZMM6,%ZMM3    [3]

0x4943c3 VPERMT2PD	%ZMM13,%ZMM11,%ZMM4

0x4943c9 VPERMT2PD	%ZMM13,%ZMM7,%ZMM0

0x4943cf VFMADD132PD	-0x80(%R11),%ZMM5,%ZMM4    [3]

0x4943d6 VFMADD132PD	-0x80(%R11),%ZMM2,%ZMM0    [3]

0x4943dd VMOVUPD	-0x40(%R12),%ZMM5    [2]

0x4943e5 VMOVUPD	-0xc0(%R12),%ZMM13    [2]

0x4943ed VMOVUPD	-0xc0(%R12),%ZMM2    [2]

0x4943f5 VPERMT2PD	%ZMM14,%ZMM12,%ZMM1

0x4943fb VPERMT2PD	%ZMM14,%ZMM8,%ZMM2

0x494401 VPERMT2PD	%ZMM14,%ZMM10,%ZMM13

0x494407 VPERMT2PD	%ZMM5,%ZMM11,%ZMM1

0x49440d VFMADD132PD	-0x40(%R11),%ZMM4,%ZMM1    [3]

0x494414 VPERMT2PD	%ZMM5,%ZMM7,%ZMM2

0x49441a VPERMT2PD	%ZMM5,%ZMM9,%ZMM13

0x494420 VMOVAPD	%ZMM2,%ZMM5

0x494426 VFMADD231PD	-0x40(%R11),%ZMM13,%ZMM3    [3]

0x49442d VFMADD132PD	-0x40(%R11),%ZMM0,%ZMM5    [3]

0x494434 CMP	%RCX,%R11

0x494437 JNE	4942a3

/beegfs/hackathon/users/eoseret/qaas_runs/170-855-3059/intel/miniqmc/build/miniqmc/src/Platforms/CPU/SIMD/inner_product.hpp: 155 - 155

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

155:   for (int i = 0; i < n; i++)

/beegfs/hackathon/users/eoseret/qaas_runs/170-855-3059/intel/miniqmc/build/miniqmc/src/Numerics/PETE/OperatorTags.h: 63 - 94

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

63:     return (a * b);

[...]

94:     (const_cast<T1&>(a) += b);

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	2.48
Bottlenecks	P5, P6, P7, P8, P9, P10,
Function	_ZN16miniqmcreference19DiracDeterminantRefIN11qmcplusplus13DelayedUpdateIddEEE9ratioGradERNS1_11ParticleSetEiRNS1_10TinyVectorIdLj3EEE
Source	inner_product.hpp:155-155,OperatorTags.h:63-63,OperatorTags.h:94-94
Source loop unroll info	not unrolled or unrolled with no peel/tail loop
Source loop unroll confidence level	max
Unroll/vectorization loop type	NA
Unroll factor	NA
CQA cycles	24.00
CQA cycles if no scalar integer	24.00
CQA cycles if FP arith vectorized	24.00
CQA cycles if fully vectorized	24.00
Front-end cycles	9.67
DIV/SQRT cycles	0.75
P0 cycles	0.75
P1 cycles	0.50
P2 cycles	0.50
P3 cycles	0.50
P4 cycles	24.00
P5 cycles	24.00
P6 cycles	24.00
P7 cycles	24.00
P8 cycles	24.00
P9 cycles	24.00
P10 cycles	0.00
P11 cycles	0.00
P12 cycles	0.00
P13 cycles	0.00
Inter-iter dependencies cycles	16
FE+BE cycles (UFS)	NA
Stall cycles (UFS)	NA
Nb insns	59.00
Nb uops	58.00
Nb loads	36.00
Nb stores	0.00
Nb stack references	0.00
FLOP/cycle	8.00
Nb FLOP add-sub	0.00
Nb FLOP mul	0.00
Nb FLOP fma	96.00
Nb FLOP div	0.00
Nb FLOP rcp	0.00
Nb FLOP sqrt	0.00
Nb FLOP rsqrt	0.00
Bytes/cycle	96.00
Bytes prefetched	0.00
Bytes loaded	2304.00
Bytes stored	0.00
Stride 0	0.00
Stride 1	0.00
Stride n	2.00
Stride unknown	0.00
Stride indirect	0.00
Vectorization ratio all	100.00
Vectorization ratio load	100.00
Vectorization ratio store	NA
Vectorization ratio mul	NA
Vectorization ratio add_sub	NA
Vectorization ratio fma	100.00
Vectorization ratio div_sqrt	NA
Vectorization ratio other	100.00
Vector-efficiency ratio all	100.00
Vector-efficiency ratio load	100.00
Vector-efficiency ratio store	NA
Vector-efficiency ratio mul	NA
Vector-efficiency ratio add_sub	NA
Vector-efficiency ratio fma	100.00
Vector-efficiency ratio div_sqrt	NA
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	2.48
Bottlenecks	P5, P6, P7, P8, P9, P10,
Function	_ZN16miniqmcreference19DiracDeterminantRefIN11qmcplusplus13DelayedUpdateIddEEE9ratioGradERNS1_11ParticleSetEiRNS1_10TinyVectorIdLj3EEE
Source	inner_product.hpp:155-155,OperatorTags.h:63-63,OperatorTags.h:94-94
Source loop unroll info	not unrolled or unrolled with no peel/tail loop
Source loop unroll confidence level	max
Unroll/vectorization loop type	NA
Unroll factor	NA
CQA cycles	24.00
CQA cycles if no scalar integer	24.00
CQA cycles if FP arith vectorized	24.00
CQA cycles if fully vectorized	24.00
Front-end cycles	9.67
DIV/SQRT cycles	0.75
P0 cycles	0.75
P1 cycles	0.50
P2 cycles	0.50
P3 cycles	0.50
P4 cycles	24.00
P5 cycles	24.00
P6 cycles	24.00
P7 cycles	24.00
P8 cycles	24.00
P9 cycles	24.00
P10 cycles	0.00
P11 cycles	0.00
P12 cycles	0.00
P13 cycles	0.00
Inter-iter dependencies cycles	16
FE+BE cycles (UFS)	NA
Stall cycles (UFS)	NA
Nb insns	59.00
Nb uops	58.00
Nb loads	36.00
Nb stores	0.00
Nb stack references	0.00
FLOP/cycle	8.00
Nb FLOP add-sub	0.00
Nb FLOP mul	0.00
Nb FLOP fma	96.00
Nb FLOP div	0.00
Nb FLOP rcp	0.00
Nb FLOP sqrt	0.00
Nb FLOP rsqrt	0.00
Bytes/cycle	96.00
Bytes prefetched	0.00
Bytes loaded	2304.00
Bytes stored	0.00
Stride 0	0.00
Stride 1	0.00
Stride n	2.00
Stride unknown	0.00
Stride indirect	0.00
Vectorization ratio all	100.00
Vectorization ratio load	100.00
Vectorization ratio store	NA
Vectorization ratio mul	NA
Vectorization ratio add_sub	NA
Vectorization ratio fma	100.00
Vectorization ratio div_sqrt	NA
Vectorization ratio other	100.00
Vector-efficiency ratio all	100.00
Vector-efficiency ratio load	100.00
Vector-efficiency ratio store	NA
Vector-efficiency ratio mul	NA
Vector-efficiency ratio add_sub	NA
Vector-efficiency ratio fma	100.00
Vector-efficiency ratio div_sqrt	NA
Vector-efficiency ratio other	100.00

Path /

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

Function	_ZN16miniqmcreference19DiracDeterminantRefIN11qmcplusplus13DelayedUpdateIddEEE9ratioGradERNS1_11ParticleSetEiRNS1_10TinyVectorIdLj3EEE
Source file and lines	inner_product.hpp:155-155
Module	exec

The loop is defined in:

/beegfs/hackathon/users/eoseret/qaas_runs/170-855-3059/intel/miniqmc/build/miniqmc/src/Platforms/CPU/SIMD/inner_product.hpp:155
/beegfs/hackathon/users/eoseret/qaas_runs/170-855-3059/intel/miniqmc/build/miniqmc/src/Numerics/PETE/OperatorTags.h:63,94

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

gain
potential
hint
expert

Vectorization

Your loop is fully vectorized, using full register length.

Details

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

Execution units bottlenecks

Performance is limited by:

execution of FP multiply or FMA (fused multiply-add) operations (the FP multiply/FMA unit is a bottleneck)
reading data from caches/RAM (load units are a bottleneck)

By removing all these bottlenecks, you can lower the cost of an iteration from 24.00 to 9.67 cycles (2.48x speedup).

Workaround

Reduce the number of FP multiply/FMA instructions
Read less array elements
Provide more information to your compiler:
- hardcode the bounds of the corresponding 'for' loop

FMA

Detected 96 FMA (fused multiply-add) operations.

Slow data structures access

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

Details

Constant non-unit stride: 2 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)

Type of elements and instruction set

12 AVX-512 instructions are processing arithmetic or math operations on double precision FP elements in vector mode (eight at a time).

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

The binary loop is composed of 192 FP arithmetical operations:

96: addition or subtraction (all inside FMA instructions)
96: multiply (all inside FMA instructions)

The binary loop is loading 2304 bytes (288 double precision FP elements).

Arithmetic intensity

Arithmetic intensity is 0.08 FP operations per loaded or stored byte.

Unroll opportunity

Loop is data access bound.

Workaround

Unroll your loop if trip count is significantly higher than target unroll factor and if some data references are common to consecutive iterations. This can be done manually. Or by recompiling with -funroll-loops and/or -floop-unroll-and-jam. Or with the unroll (resp. unroll_and_jam) directive on top of the inner (resp. surrounding) loop. You can enforce an unroll factor: #pragma GCC unroll N

General properties

nb instructions	59
nb uops	58
loop length	410
used x86 registers	3
used mmx registers	0
used xmm registers	0
used ymm registers	0
used zmm registers	15
nb stack references	0

Front-end

ASSUMED MACRO FUSION FIT IN UOP CACHE

micro-operation queue	9.67 cycles
front end	9.67 cycles

Back-end

	ALU0/BRU0	ALU1	ALU2	ALU3	BRU1	AGU0	AGU1	AGU2	FP0	FP1	FP2	FP3	FP4	FP5
uops	0.75	0.75	0.50	0.50	0.50	12.00	12.00	12.00	12.00	24.00	24.00	0.00	0.00	0.00
cycles	0.75	0.75	0.50	0.50	0.50	24.00	24.00	24.00	24.00	24.00	24.00	0.00	0.00	0.00

Execution ports to units layout:

ALU0/BRU0: ALU
ALU1: ALU
ALU2: ALU
ALU3: ALU
BRU1:
AGU0 (256 bits): store address, load
AGU1 (256 bits): store address, load
AGU2 (256 bits): store address, load
FP0 (256 bits): VPU, DIV/SQRT
FP1 (256 bits): VPU, DIV/SQRT
FP2 (256 bits): VPU
FP3 (256 bits): VPU
FP4 (256 bits): FP store data
FP5 (256 bits): FP store data

Cycles executing div or sqrt instructions	NA
Longest recurrence chain latency (RecMII)	16.00

Cycles summary

Front-end	9.67
Dispatch	24.00
Data deps.	16.00
Overall L1	24.00

Vectorization ratios

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

Vector efficiency ratios

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

Cycles and memory resources usage

Assuming all data fit into the L1 cache, each iteration of the binary loop takes 24.00 cycles. At this rate:

99% of peak load performance is reached (96.00 out of 96.00 bytes loaded per cycle (GB/s @ 1GHz))

Front-end bottlenecks

Found no such bottlenecks.

ASM code

In the binary file, the address of the loop is: 4942a3

Instruction	Nb FU	ALU0/BRU0	ALU1	ALU2	ALU3	BRU1	AGU0	AGU1	AGU2	FP0	FP1	FP2	Latency	Recip. throughput
VMOVUPD (%R12),%ZMM4	1	0	0	0	0	0	0.33	0.33	0.33	0	0	0	3	1
VMOVUPD (%R12),%ZMM2	1	0	0	0	0	0	0.33	0.33	0.33	0	0	0	3	1
VMOVUPD (%R12),%ZMM0	1	0	0	0	0	0	0.33	0.33	0.33	0	0	0	3	1
ADD $0x100,%R11	1	0.25	0.25	0.25	0.25	0	0	0	0	0	0	0	1	0.25
VMOVUPD 0x140(%R12),%ZMM13	1	0	0	0	0	0	0.33	0.33	0.33	0	0	0	3	1
VMOVUPD 0xc0(%R12),%ZMM14	1	0	0	0	0	0	0.33	0.33	0.33	0	0	0	3	1
VMOVUPD 0x180(%R12),%ZMM6	1	0	0	0	0	0	0.33	0.33	0.33	0	0	0	3	1
ADD $0x300,%R12	1	0.25	0.25	0.25	0.25	0	0	0	0	0	0	0	1	0.25
VPERMT2PD -0x2c0(%R12),%ZMM12,%ZMM4	1	0	0	0	0	0	0.33	0.33	0.33	0	1	1	5	1
VPERMT2PD -0x2c0(%R12),%ZMM10,%ZMM2	1	0	0	0	0	0	0.33	0.33	0.33	0	1	1	5	1
VPERMT2PD -0x2c0(%R12),%ZMM8,%ZMM0	1	0	0	0	0	0	0.33	0.33	0.33	0	1	1	5	1
VPERMT2PD -0x280(%R12),%ZMM9,%ZMM2	1	0	0	0	0	0	0.33	0.33	0.33	0	1	1	5	1
VFMADD231PD -0x100(%R11),%ZMM2,%ZMM3	1	0	0	0	0	0	0.33	0.33	0.33	0.50	0.50	0	4	1
VMOVUPD -0x240(%R12),%ZMM2	1	0	0	0	0	0	0.33	0.33	0.33	0	0	0	3	1
VPERMT2PD -0x280(%R12),%ZMM11,%ZMM4	1	0	0	0	0	0	0.33	0.33	0.33	0	1	1	5	1
VPERMT2PD -0x280(%R12),%ZMM7,%ZMM0	1	0	0	0	0	0	0.33	0.33	0.33	0	1	1	5	1
VFMADD132PD -0x100(%R11),%ZMM1,%ZMM4	1	0	0	0	0	0	0.33	0.33	0.33	0.50	0.50	0	4	1
VFMADD132PD -0x100(%R11),%ZMM5,%ZMM0	1	0	0	0	0	0	0.33	0.33	0.33	0.50	0.50	0	4	1
VMOVUPD -0x200(%R12),%ZMM1	1	0	0	0	0	0	0.33	0.33	0.33	0	0	0	3	1
VMOVUPD -0x240(%R12),%ZMM5	1	0	0	0	0	0	0.33	0.33	0.33	0	0	0	3	1
VPERMT2PD %ZMM1,%ZMM8,%ZMM2	1	0	0	0	0	0	0	0	0	0	1	1	5	1
VPERMT2PD %ZMM1,%ZMM12,%ZMM5	1	0	0	0	0	0	0	0	0	0	1	1	5	1
VPERMT2PD %ZMM1,%ZMM10,%ZMM14	1	0	0	0	0	0	0	0	0	0	1	1	5	1
VMOVUPD -0x140(%R12),%ZMM1	1	0	0	0	0	0	0.33	0.33	0.33	0	0	0	3	1
VPERMT2PD %ZMM13,%ZMM11,%ZMM5	1	0	0	0	0	0	0	0	0	0	1	1	5	1
VPERMT2PD %ZMM13,%ZMM7,%ZMM2	1	0	0	0	0	0	0	0	0	0	1	1	5	1
VFMADD132PD -0xc0(%R11),%ZMM4,%ZMM5	1	0	0	0	0	0	0.33	0.33	0.33	0.50	0.50	0	4	1
VFMADD132PD -0xc0(%R11),%ZMM0,%ZMM2	1	0	0	0	0	0	0.33	0.33	0.33	0.50	0.50	0	4	1
VMOVUPD -0x180(%R12),%ZMM4	1	0	0	0	0	0	0.33	0.33	0.33	0	0	0	3	1
VMOVUPD -0x180(%R12),%ZMM0	1	0	0	0	0	0	0.33	0.33	0.33	0	0	0	3	1
VPERMT2PD %ZMM13,%ZMM9,%ZMM14	1	0	0	0	0	0	0	0	0	0	1	1	5	1
VMOVUPD -0x100(%R12),%ZMM13	1	0	0	0	0	0	0.33	0.33	0.33	0	0	0	3	1
VFMADD231PD -0xc0(%R11),%ZMM14,%ZMM3	1	0	0	0	0	0	0.33	0.33	0.33	0.50	0.50	0	4	1
VMOVUPD -0x80(%R12),%ZMM14	1	0	0	0	0	0	0.33	0.33	0.33	0	0	0	3	1
VPERMT2PD %ZMM1,%ZMM10,%ZMM6	1	0	0	0	0	0	0	0	0	0	1	1	5	1
VPERMT2PD %ZMM1,%ZMM12,%ZMM4	1	0	0	0	0	0	0	0	0	0	1	1	5	1
VPERMT2PD %ZMM1,%ZMM8,%ZMM0	1	0	0	0	0	0	0	0	0	0	1	1	5	1
VPERMT2PD %ZMM13,%ZMM9,%ZMM6	1	0	0	0	0	0	0	0	0	0	1	1	5	1
VMOVUPD -0xc0(%R12),%ZMM1	1	0	0	0	0	0	0.33	0.33	0.33	0	0	0	3	1
VFMADD231PD -0x80(%R11),%ZMM6,%ZMM3	1	0	0	0	0	0	0.33	0.33	0.33	0.50	0.50	0	4	1
VPERMT2PD %ZMM13,%ZMM11,%ZMM4	1	0	0	0	0	0	0	0	0	0	1	1	5	1
VPERMT2PD %ZMM13,%ZMM7,%ZMM0	1	0	0	0	0	0	0	0	0	0	1	1	5	1
VFMADD132PD -0x80(%R11),%ZMM5,%ZMM4	1	0	0	0	0	0	0.33	0.33	0.33	0.50	0.50	0	4	1
VFMADD132PD -0x80(%R11),%ZMM2,%ZMM0	1	0	0	0	0	0	0.33	0.33	0.33	0.50	0.50	0	4	1
VMOVUPD -0x40(%R12),%ZMM5	1	0	0	0	0	0	0.33	0.33	0.33	0	0	0	3	1
VMOVUPD -0xc0(%R12),%ZMM13	1	0	0	0	0	0	0.33	0.33	0.33	0	0	0	3	1
VMOVUPD -0xc0(%R12),%ZMM2	1	0	0	0	0	0	0.33	0.33	0.33	0	0	0	3	1
VPERMT2PD %ZMM14,%ZMM12,%ZMM1	1	0	0	0	0	0	0	0	0	0	1	1	5	1
VPERMT2PD %ZMM14,%ZMM8,%ZMM2	1	0	0	0	0	0	0	0	0	0	1	1	5	1
VPERMT2PD %ZMM14,%ZMM10,%ZMM13	1	0	0	0	0	0	0	0	0	0	1	1	5	1
VPERMT2PD %ZMM5,%ZMM11,%ZMM1	1	0	0	0	0	0	0	0	0	0	1	1	5	1
VFMADD132PD -0x40(%R11),%ZMM4,%ZMM1	1	0	0	0	0	0	0.33	0.33	0.33	0.50	0.50	0	4	1
VPERMT2PD %ZMM5,%ZMM7,%ZMM2	1	0	0	0	0	0	0	0	0	0	1	1	5	1
VPERMT2PD %ZMM5,%ZMM9,%ZMM13	1	0	0	0	0	0	0	0	0	0	1	1	5	1
VMOVAPD %ZMM2,%ZMM5	1	0	0	0	0	0	0	0	0	0	0	0	0	0.17
VFMADD231PD -0x40(%R11),%ZMM13,%ZMM3	1	0	0	0	0	0	0.33	0.33	0.33	0.50	0.50	0	4	1
VFMADD132PD -0x40(%R11),%ZMM0,%ZMM5	1	0	0	0	0	0	0.33	0.33	0.33	0.50	0.50	0	4	1
CMP %RCX,%R11	1	0.25	0.25	0.25	0.25	0	0	0	0	0	0	0	1	0.25
JNE 4942a3 <_ZN16miniqmcreference19DiracDeterminantRefIN11qmcplusplus13DelayedUpdateIddEEE9ratioGradERNS1_11ParticleSetEiRNS1_10TinyVectorIdLj3EEE+0x493>	1	0.50	0	0	0	0.50	0	0	0	0	0	0	1	0.50-1

Function	_ZN16miniqmcreference19DiracDeterminantRefIN11qmcplusplus13DelayedUpdateIddEEE9ratioGradERNS1_11ParticleSetEiRNS1_10TinyVectorIdLj3EEE
Source file and lines	inner_product.hpp:155-155
Module	exec

The loop is defined in:

/beegfs/hackathon/users/eoseret/qaas_runs/170-855-3059/intel/miniqmc/build/miniqmc/src/Platforms/CPU/SIMD/inner_product.hpp:155
/beegfs/hackathon/users/eoseret/qaas_runs/170-855-3059/intel/miniqmc/build/miniqmc/src/Numerics/PETE/OperatorTags.h:63,94

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

gain
potential
hint
expert

Vectorization

Your loop is fully vectorized, using full register length.

Details

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

Execution units bottlenecks

Performance is limited by:

execution of FP multiply or FMA (fused multiply-add) operations (the FP multiply/FMA unit is a bottleneck)
reading data from caches/RAM (load units are a bottleneck)

By removing all these bottlenecks, you can lower the cost of an iteration from 24.00 to 9.67 cycles (2.48x speedup).

Workaround

Reduce the number of FP multiply/FMA instructions
Read less array elements
Provide more information to your compiler:
- hardcode the bounds of the corresponding 'for' loop

FMA

Detected 96 FMA (fused multiply-add) operations.

Slow data structures access

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

Details

Constant non-unit stride: 2 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)

Type of elements and instruction set

12 AVX-512 instructions are processing arithmetic or math operations on double precision FP elements in vector mode (eight at a time).

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

The binary loop is composed of 192 FP arithmetical operations:

96: addition or subtraction (all inside FMA instructions)
96: multiply (all inside FMA instructions)

The binary loop is loading 2304 bytes (288 double precision FP elements).

Arithmetic intensity

Arithmetic intensity is 0.08 FP operations per loaded or stored byte.

Unroll opportunity

Loop is data access bound.

Workaround

General properties

nb instructions	59
nb uops	58
loop length	410
used x86 registers	3
used mmx registers	0
used xmm registers	0
used ymm registers	0
used zmm registers	15
nb stack references	0

Front-end

ASSUMED MACRO FUSION FIT IN UOP CACHE

micro-operation queue	9.67 cycles
front end	9.67 cycles

Back-end

	ALU0/BRU0	ALU1	ALU2	ALU3	BRU1	AGU0	AGU1	AGU2	FP0	FP1	FP2	FP3	FP4	FP5
uops	0.75	0.75	0.50	0.50	0.50	12.00	12.00	12.00	12.00	24.00	24.00	0.00	0.00	0.00
cycles	0.75	0.75	0.50	0.50	0.50	24.00	24.00	24.00	24.00	24.00	24.00	0.00	0.00	0.00

Execution ports to units layout:

ALU0/BRU0: ALU
ALU1: ALU
ALU2: ALU
ALU3: ALU
BRU1:
AGU0 (256 bits): store address, load
AGU1 (256 bits): store address, load
AGU2 (256 bits): store address, load
FP0 (256 bits): VPU, DIV/SQRT
FP1 (256 bits): VPU, DIV/SQRT
FP2 (256 bits): VPU
FP3 (256 bits): VPU
FP4 (256 bits): FP store data
FP5 (256 bits): FP store data

Cycles executing div or sqrt instructions	NA
Longest recurrence chain latency (RecMII)	16.00

Cycles summary

Front-end	9.67
Dispatch	24.00
Data deps.	16.00
Overall L1	24.00

Vectorization ratios

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

Vector efficiency ratios

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

Cycles and memory resources usage

Assuming all data fit into the L1 cache, each iteration of the binary loop takes 24.00 cycles. At this rate:

99% of peak load performance is reached (96.00 out of 96.00 bytes loaded per cycle (GB/s @ 1GHz))

Front-end bottlenecks

Found no such bottlenecks.

ASM code

In the binary file, the address of the loop is: 4942a3

Instruction	Nb FU	ALU0/BRU0	ALU1	ALU2	ALU3	BRU1	AGU0	AGU1	AGU2	FP0	FP1	FP2	Latency	Recip. throughput
VMOVUPD (%R12),%ZMM4	1	0	0	0	0	0	0.33	0.33	0.33	0	0	0	3	1
VMOVUPD (%R12),%ZMM2	1	0	0	0	0	0	0.33	0.33	0.33	0	0	0	3	1
VMOVUPD (%R12),%ZMM0	1	0	0	0	0	0	0.33	0.33	0.33	0	0	0	3	1
ADD $0x100,%R11	1	0.25	0.25	0.25	0.25	0	0	0	0	0	0	0	1	0.25
VMOVUPD 0x140(%R12),%ZMM13	1	0	0	0	0	0	0.33	0.33	0.33	0	0	0	3	1
VMOVUPD 0xc0(%R12),%ZMM14	1	0	0	0	0	0	0.33	0.33	0.33	0	0	0	3	1
VMOVUPD 0x180(%R12),%ZMM6	1	0	0	0	0	0	0.33	0.33	0.33	0	0	0	3	1
ADD $0x300,%R12	1	0.25	0.25	0.25	0.25	0	0	0	0	0	0	0	1	0.25
VPERMT2PD -0x2c0(%R12),%ZMM12,%ZMM4	1	0	0	0	0	0	0.33	0.33	0.33	0	1	1	5	1
VPERMT2PD -0x2c0(%R12),%ZMM10,%ZMM2	1	0	0	0	0	0	0.33	0.33	0.33	0	1	1	5	1
VPERMT2PD -0x2c0(%R12),%ZMM8,%ZMM0	1	0	0	0	0	0	0.33	0.33	0.33	0	1	1	5	1
VPERMT2PD -0x280(%R12),%ZMM9,%ZMM2	1	0	0	0	0	0	0.33	0.33	0.33	0	1	1	5	1
VFMADD231PD -0x100(%R11),%ZMM2,%ZMM3	1	0	0	0	0	0	0.33	0.33	0.33	0.50	0.50	0	4	1
VMOVUPD -0x240(%R12),%ZMM2	1	0	0	0	0	0	0.33	0.33	0.33	0	0	0	3	1
VPERMT2PD -0x280(%R12),%ZMM11,%ZMM4	1	0	0	0	0	0	0.33	0.33	0.33	0	1	1	5	1
VPERMT2PD -0x280(%R12),%ZMM7,%ZMM0	1	0	0	0	0	0	0.33	0.33	0.33	0	1	1	5	1
VFMADD132PD -0x100(%R11),%ZMM1,%ZMM4	1	0	0	0	0	0	0.33	0.33	0.33	0.50	0.50	0	4	1
VFMADD132PD -0x100(%R11),%ZMM5,%ZMM0	1	0	0	0	0	0	0.33	0.33	0.33	0.50	0.50	0	4	1
VMOVUPD -0x200(%R12),%ZMM1	1	0	0	0	0	0	0.33	0.33	0.33	0	0	0	3	1
VMOVUPD -0x240(%R12),%ZMM5	1	0	0	0	0	0	0.33	0.33	0.33	0	0	0	3	1
VPERMT2PD %ZMM1,%ZMM8,%ZMM2	1	0	0	0	0	0	0	0	0	0	1	1	5	1
VPERMT2PD %ZMM1,%ZMM12,%ZMM5	1	0	0	0	0	0	0	0	0	0	1	1	5	1
VPERMT2PD %ZMM1,%ZMM10,%ZMM14	1	0	0	0	0	0	0	0	0	0	1	1	5	1
VMOVUPD -0x140(%R12),%ZMM1	1	0	0	0	0	0	0.33	0.33	0.33	0	0	0	3	1
VPERMT2PD %ZMM13,%ZMM11,%ZMM5	1	0	0	0	0	0	0	0	0	0	1	1	5	1
VPERMT2PD %ZMM13,%ZMM7,%ZMM2	1	0	0	0	0	0	0	0	0	0	1	1	5	1
VFMADD132PD -0xc0(%R11),%ZMM4,%ZMM5	1	0	0	0	0	0	0.33	0.33	0.33	0.50	0.50	0	4	1
VFMADD132PD -0xc0(%R11),%ZMM0,%ZMM2	1	0	0	0	0	0	0.33	0.33	0.33	0.50	0.50	0	4	1
VMOVUPD -0x180(%R12),%ZMM4	1	0	0	0	0	0	0.33	0.33	0.33	0	0	0	3	1
VMOVUPD -0x180(%R12),%ZMM0	1	0	0	0	0	0	0.33	0.33	0.33	0	0	0	3	1
VPERMT2PD %ZMM13,%ZMM9,%ZMM14	1	0	0	0	0	0	0	0	0	0	1	1	5	1
VMOVUPD -0x100(%R12),%ZMM13	1	0	0	0	0	0	0.33	0.33	0.33	0	0	0	3	1
VFMADD231PD -0xc0(%R11),%ZMM14,%ZMM3	1	0	0	0	0	0	0.33	0.33	0.33	0.50	0.50	0	4	1
VMOVUPD -0x80(%R12),%ZMM14	1	0	0	0	0	0	0.33	0.33	0.33	0	0	0	3	1
VPERMT2PD %ZMM1,%ZMM10,%ZMM6	1	0	0	0	0	0	0	0	0	0	1	1	5	1
VPERMT2PD %ZMM1,%ZMM12,%ZMM4	1	0	0	0	0	0	0	0	0	0	1	1	5	1
VPERMT2PD %ZMM1,%ZMM8,%ZMM0	1	0	0	0	0	0	0	0	0	0	1	1	5	1
VPERMT2PD %ZMM13,%ZMM9,%ZMM6	1	0	0	0	0	0	0	0	0	0	1	1	5	1
VMOVUPD -0xc0(%R12),%ZMM1	1	0	0	0	0	0	0.33	0.33	0.33	0	0	0	3	1
VFMADD231PD -0x80(%R11),%ZMM6,%ZMM3	1	0	0	0	0	0	0.33	0.33	0.33	0.50	0.50	0	4	1
VPERMT2PD %ZMM13,%ZMM11,%ZMM4	1	0	0	0	0	0	0	0	0	0	1	1	5	1
VPERMT2PD %ZMM13,%ZMM7,%ZMM0	1	0	0	0	0	0	0	0	0	0	1	1	5	1
VFMADD132PD -0x80(%R11),%ZMM5,%ZMM4	1	0	0	0	0	0	0.33	0.33	0.33	0.50	0.50	0	4	1
VFMADD132PD -0x80(%R11),%ZMM2,%ZMM0	1	0	0	0	0	0	0.33	0.33	0.33	0.50	0.50	0	4	1
VMOVUPD -0x40(%R12),%ZMM5	1	0	0	0	0	0	0.33	0.33	0.33	0	0	0	3	1
VMOVUPD -0xc0(%R12),%ZMM13	1	0	0	0	0	0	0.33	0.33	0.33	0	0	0	3	1
VMOVUPD -0xc0(%R12),%ZMM2	1	0	0	0	0	0	0.33	0.33	0.33	0	0	0	3	1
VPERMT2PD %ZMM14,%ZMM12,%ZMM1	1	0	0	0	0	0	0	0	0	0	1	1	5	1
VPERMT2PD %ZMM14,%ZMM8,%ZMM2	1	0	0	0	0	0	0	0	0	0	1	1	5	1
VPERMT2PD %ZMM14,%ZMM10,%ZMM13	1	0	0	0	0	0	0	0	0	0	1	1	5	1
VPERMT2PD %ZMM5,%ZMM11,%ZMM1	1	0	0	0	0	0	0	0	0	0	1	1	5	1
VFMADD132PD -0x40(%R11),%ZMM4,%ZMM1	1	0	0	0	0	0	0.33	0.33	0.33	0.50	0.50	0	4	1
VPERMT2PD %ZMM5,%ZMM7,%ZMM2	1	0	0	0	0	0	0	0	0	0	1	1	5	1
VPERMT2PD %ZMM5,%ZMM9,%ZMM13	1	0	0	0	0	0	0	0	0	0	1	1	5	1
VMOVAPD %ZMM2,%ZMM5	1	0	0	0	0	0	0	0	0	0	0	0	0	0.17
VFMADD231PD -0x40(%R11),%ZMM13,%ZMM3	1	0	0	0	0	0	0.33	0.33	0.33	0.50	0.50	0	4	1
VFMADD132PD -0x40(%R11),%ZMM0,%ZMM5	1	0	0	0	0	0	0.33	0.33	0.33	0.50	0.50	0	4	1
CMP %RCX,%R11	1	0.25	0.25	0.25	0.25	0	0	0	0	0	0	0	1	0.25
JNE 4942a3 <_ZN16miniqmcreference19DiracDeterminantRefIN11qmcplusplus13DelayedUpdateIddEEE9ratioGradERNS1_11ParticleSetEiRNS1_10TinyVectorIdLj3EEE+0x493>	1	0.50	0	0	0	0.50	0	0	0	0	0	0	1	0.50-1

▶Scalability Runs Description

Run 2x1	Number processes: 2Number nodes: 1Number processes per node: 2Run Command: <executable> -g "4 2 2" -bMPI Command: mpirun -np <number_processes>Dataset: Run Directory: /beegfs/hackathon/users/eoseret/qaas_runs/170-855-3059/intel/miniqmc/run/oneview_runs/compilers/gcc_2/oneview_run_1708580749OMP_NUM_THREADS: 1
Run 2x2	OMP_NUM_THREADS: 2
Run 2x4	OMP_NUM_THREADS: 4
Run 2x8	OMP_NUM_THREADS: 8
Run 2x16	OMP_NUM_THREADS: 16
Run 2x32	OMP_NUM_THREADS: 32
Run 2x64	OMP_NUM_THREADS: 64
Run 2x96	OMP_NUM_THREADS: 96

(2x1) Efficiency	(2x1) Potential Speed-Up (%)	(2x2) Efficiency	(2x2) Potential Speed-Up (%)	(2x4) Efficiency	(2x4) Potential Speed-Up (%)	(2x8) Efficiency	(2x8) Potential Speed-Up (%)	(2x16) Efficiency	(2x16) Potential Speed-Up (%)	(2x32) Efficiency	(2x32) Potential Speed-Up (%)	(2x64) Efficiency	(2x64) Potential Speed-Up (%)	(2x96) Efficiency	(2x96) Potential Speed-Up (%)
1	0	0.53	0.05	0.59	0.03	0.17	0.07	0.1	0.05	0.05	0.03	0.02	0.03	0.01	0.02

Speed-Up and Efficiency

▶Detailed Speed-Up and Efficiency

Run	Number of threads	Efficiency (ideal is 1)	Speedup	Ideal Speedup	Time (s)	Coverage (%)
2x1	2	1	1	1	0.05	0.1
2x2	4	0.53	0.8	1.5	0.06	0.1
2x4	8	0.59	1.33	2.25	0.06	0.07
2x8	16	0.17	0.67	4	0.08	0.09
2x16	32	0.1	0.8	8.25	0.07	0.06
2x32	64	0.05	0.8	16.5	0.07	0.03
2x64	128	0.02	0.5	32.5	0.14	0.03
2x96	192	0.01	0.44	48.5	0.15	0.02

Report Configuration

Vectorization

Details

Execution units bottlenecks

Workaround

FMA

Slow data structures access

Details

Workaround

Type of elements and instruction set

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

Arithmetic intensity

Unroll opportunity

Workaround

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

Execution units bottlenecks

Workaround

FMA

Slow data structures access

Details

Workaround

Type of elements and instruction set

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

Arithmetic intensity

Unroll opportunity

Workaround

General properties

Front-end

Back-end

Cycles summary

Vectorization ratios

Vector efficiency ratios

Cycles and memory resources usage

Front-end bottlenecks

ASM code

▶Scalability Runs Description

▼Colums Filter

Speed-Up and Efficiency

▶Detailed Speed-Up and Efficiency