OV - exec - Loop 289

	Loop Id: 289	Module: exec	Source: :0-0	Coverage: 0.08%

0x429608 VMOVUPD	(%R12,%RBX,1),%ZMM15    [2]

0x42960f VMOVUPD	0x40(%R12,%RBX,1),%ZMM4    [2]

0x429617 VMOVUPD	0x80(%R12,%RBX,1),%ZMM5    [2]

0x42961f VMOVUPD	0xc0(%R12,%RBX,1),%ZMM6    [2]

0x429627 VMOVUPD	0x100(%R12,%RBX,1),%ZMM7    [2]

0x42962f VMOVUPD	0x140(%R12,%RBX,1),%ZMM8    [2]

0x429637 VMOVUPD	0x180(%R12,%RBX,1),%ZMM9    [2]

0x42963f VMOVUPD	0x1c0(%R12,%RBX,1),%ZMM10    [2]

0x429647 VFMADD231PD	(%R10,%RBX,1),%ZMM15,%ZMM11    [1]

0x42964e VFMADD231PD	0x40(%R10,%RBX,1),%ZMM4,%ZMM11    [1]

0x429656 VFMADD231PD	0x80(%R10,%RBX,1),%ZMM5,%ZMM11    [1]

0x42965e VFMADD231PD	0xc0(%R10,%RBX,1),%ZMM6,%ZMM11    [1]

0x429666 VFMADD231PD	0x100(%R10,%RBX,1),%ZMM7,%ZMM11    [1]

0x42966e VFMADD231PD	0x140(%R10,%RBX,1),%ZMM8,%ZMM11    [1]

0x429676 VFMADD231PD	0x180(%R10,%RBX,1),%ZMM9,%ZMM11    [1]

0x42967e VFMADD231PD	0x1c0(%R10,%RBX,1),%ZMM10,%ZMM11    [1]

0x429686 ADD	$0x200,%RBX

0x42968d CMP	%RDI,%RBX

0x429690 JNE	429608

  ***  This Panel is Intentionally Left Blank.  ***

It is due to a lack of debug symbols in the given object
(loop or function).

Coverage (%)	Name	Source Location	Module
►96.41+	qmcplusplus::WaveFunction::rat[...]		exec
○	main._omp_fn.1		exec
○	gomp_thread_start	team.c:130	libgomp.so.1.0.0
○	start_thread		libc.so.6
○	__GI___clone3		libc.so.6

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	8.00
Bottlenecks
Function	miniqmcreference::TwoBodyJastrowRef >::ratioGrad(qmcplusplus::ParticleSet&, int, qmcplusplus::TinyVector&)
Source
Source loop unroll info	NA
Source loop unroll confidence level	NA
Unroll/vectorization loop type	NA
Unroll factor	NA
CQA cycles	32.00
CQA cycles if no scalar integer	32.00
CQA cycles if FP arith vectorized	32.00
CQA cycles if fully vectorized	32.00
Front-end cycles	2.25
P0 cycles	0.33
P1 cycles	0.33
P2 cycles	0.33
P3 cycles	0.33
P4 cycles	0.33
P5 cycles	0.33
P6 cycles	4.00
P7 cycles	4.00
P8 cycles	4.00
P9 cycles	4.00
P10 cycles	4.00
P11 cycles	4.00
P12 cycles	0.00
P13 cycles	0.00
P14 cycles	0.00
P15 cycles	0.00
DIV/SQRT cycles	0.00
Inter-iter dependencies cycles	32
FE+BE cycles (UFS)	NA
Stall cycles (UFS)	NA
Nb insns	19.00
Nb uops	18.00
Nb loads	16.00
Nb stores	0.00
Nb stack references	0.00
FLOP/cycle	4.00
Nb FLOP add-sub	0.00
Nb FLOP mul	0.00
Nb FLOP fma	64.00
Nb FLOP div	0.00
Nb FLOP rcp	0.00
Nb FLOP sqrt	0.00
Nb FLOP rsqrt	0.00
Bytes/cycle	32.00
Bytes prefetched	0.00
Bytes loaded	1024.00
Bytes stored	0.00
Stride 0	0.00
Stride 1	2.00
Stride n	0.00
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	NA
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	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	8.00
Bottlenecks
Function	miniqmcreference::TwoBodyJastrowRef >::ratioGrad(qmcplusplus::ParticleSet&, int, qmcplusplus::TinyVector&)
Source
Source loop unroll info	NA
Source loop unroll confidence level	NA
Unroll/vectorization loop type	NA
Unroll factor	NA
CQA cycles	32.00
CQA cycles if no scalar integer	32.00
CQA cycles if FP arith vectorized	32.00
CQA cycles if fully vectorized	32.00
Front-end cycles	2.25
P0 cycles	0.33
P1 cycles	0.33
P2 cycles	0.33
P3 cycles	0.33
P4 cycles	0.33
P5 cycles	0.33
P6 cycles	4.00
P7 cycles	4.00
P8 cycles	4.00
P9 cycles	4.00
P10 cycles	4.00
P11 cycles	4.00
P12 cycles	0.00
P13 cycles	0.00
P14 cycles	0.00
P15 cycles	0.00
DIV/SQRT cycles	0.00
Inter-iter dependencies cycles	32
FE+BE cycles (UFS)	NA
Stall cycles (UFS)	NA
Nb insns	19.00
Nb uops	18.00
Nb loads	16.00
Nb stores	0.00
Nb stack references	0.00
FLOP/cycle	4.00
Nb FLOP add-sub	0.00
Nb FLOP mul	0.00
Nb FLOP fma	64.00
Nb FLOP div	0.00
Nb FLOP rcp	0.00
Nb FLOP sqrt	0.00
Nb FLOP rsqrt	0.00
Bytes/cycle	32.00
Bytes prefetched	0.00
Bytes loaded	1024.00
Bytes stored	0.00
Stride 0	0.00
Stride 1	2.00
Stride n	0.00
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	NA
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	NA

Path /

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

Function	miniqmcreference::TwoBodyJastrowRef >::ratioGrad(qmcplusplus::ParticleSet&, int, qmcplusplus::TinyVector&)
Source file and lines
Module	exec

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

Found no such bottlenecks but see expert reports for more complex bottlenecks.

FMA

Detected 64 FMA (fused multiply-add) operations.

Vector unaligned load/store instructions

Detected 8 optimal vector unaligned load/store instructions.

Details

VMOVUPD: 8 occurrences►

Workaround

Use vector aligned instructions:

align your arrays on 64 bytes boundaries
inform your compiler that your arrays are vector aligned: read your compiler manual.

Type of elements and instruction set

8 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 128 FP arithmetical operations:

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

The binary loop is loading 1024 bytes (128 double precision FP elements).

Arithmetic intensity

Arithmetic intensity is 0.12 FP operations per loaded or stored byte.

General properties

nb instructions	19
nb uops	18
loop length	142
used x86 registers	4
used mmx registers	0
used xmm registers	0
used ymm registers	0
used zmm registers	9
nb stack references	0

Front-end

ASSUMED MACRO FUSION FIT IN UOP CACHE

micro-operation queue	2.25 cycles
front end	2.25 cycles

Back-end

	P0	P1	P2	P3	P4	P5	P6	P7	P8	P9	P10	P11	P12	P13	P14	P15
uops	0.33	0.33	0.33	0.33	0.33	0.33	4.00	4.00	4.00	4.00	4.00	4.00	0.00	0.00	0.00	0.00
cycles	0.33	0.33	0.33	0.33	0.33	0.33	4.00	4.00	4.00	4.00	4.00	4.00	0.00	0.00	0.00	0.00

Execution ports to units layout:

P0: ALU
P1: ALU
P2: ALU
P3: ALU, BRU
P4: ALU, BRU
P5: ALU, BRU
P6 (512 bits): store address, load
P7 (512 bits): store address, load
P8 (512 bits): store address, load
P9 (512 bits): store address, load
P10 (512 bits): VPU, DIV/SQRT
P11 (512 bits): VPU, DIV/SQRT
P12 (512 bits): VPU
P13 (512 bits): VPU
P14 (512 bits): FP store data
P15 (512 bits): FP store data

Cycles executing div or sqrt instructions	NA
Longest recurrence chain latency (RecMII)	32.00

Cycles summary

Front-end	2.25
Dispatch	4.00
Data deps.	32.00
Overall L1	32.00

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	NA (no other vectorizable/vectorized instructions)

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	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 32.00 cycles. At this rate:

12% of peak load performance is reached (32.00 out of 256.00 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: 429608

Instruction	Nb FU	P0	P1	P2	P3	P4	P5	P6	P7	P8	P9	P10	P11	Latency	Recip. throughput	Vectorization
VMOVUPD (%R12,%RBX,1),%ZMM15	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	3	0.50	vect (100.0%)
VMOVUPD 0x40(%R12,%RBX,1),%ZMM4	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	3	0.50	vect (100.0%)
VMOVUPD 0x80(%R12,%RBX,1),%ZMM5	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	3	0.50	vect (100.0%)
VMOVUPD 0xc0(%R12,%RBX,1),%ZMM6	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	3	0.50	vect (100.0%)
VMOVUPD 0x100(%R12,%RBX,1),%ZMM7	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	3	0.50	vect (100.0%)
VMOVUPD 0x140(%R12,%RBX,1),%ZMM8	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	3	0.50	vect (100.0%)
VMOVUPD 0x180(%R12,%RBX,1),%ZMM9	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	3	0.50	vect (100.0%)
VMOVUPD 0x1c0(%R12,%RBX,1),%ZMM10	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	3	0.50	vect (100.0%)
VFMADD231PD (%R10,%RBX,1),%ZMM15,%ZMM11	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	4	0.50	vect (100.0%)
VFMADD231PD 0x40(%R10,%RBX,1),%ZMM4,%ZMM11	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	4	0.50	vect (100.0%)
VFMADD231PD 0x80(%R10,%RBX,1),%ZMM5,%ZMM11	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	4	0.50	vect (100.0%)
VFMADD231PD 0xc0(%R10,%RBX,1),%ZMM6,%ZMM11	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	4	0.50	vect (100.0%)
VFMADD231PD 0x100(%R10,%RBX,1),%ZMM7,%ZMM11	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	4	0.50	vect (100.0%)
VFMADD231PD 0x140(%R10,%RBX,1),%ZMM8,%ZMM11	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	4	0.50	vect (100.0%)
VFMADD231PD 0x180(%R10,%RBX,1),%ZMM9,%ZMM11	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	4	0.50	vect (100.0%)
VFMADD231PD 0x1c0(%R10,%RBX,1),%ZMM10,%ZMM11	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	4	0.50	vect (100.0%)
ADD $0x200,%RBX	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	1	0.17	N/A
CMP %RDI,%RBX	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	1	0.17	N/A
JNE 429608 <_ZN16miniqmcreference17TwoBodyJastrowRefIN11qmcplusplus14BsplineFunctorIdEEE9ratioGradERNS1_11ParticleSetEiRNS1_10TinyVectorIdLj3EEE+0x1b78>	1	0	0	0	0.33	0.33	0.33	0	0	0	0	0	0	1	0.50-1	N/A

Function	miniqmcreference::TwoBodyJastrowRef >::ratioGrad(qmcplusplus::ParticleSet&, int, qmcplusplus::TinyVector&)
Source file and lines
Module	exec

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

Found no such bottlenecks but see expert reports for more complex bottlenecks.

FMA

Detected 64 FMA (fused multiply-add) operations.

Vector unaligned load/store instructions

Detected 8 optimal vector unaligned load/store instructions.

Details

VMOVUPD: 8 occurrences►

Workaround

Use vector aligned instructions:

align your arrays on 64 bytes boundaries
inform your compiler that your arrays are vector aligned: read your compiler manual.

Type of elements and instruction set

8 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 128 FP arithmetical operations:

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

The binary loop is loading 1024 bytes (128 double precision FP elements).

Arithmetic intensity

Arithmetic intensity is 0.12 FP operations per loaded or stored byte.

General properties

nb instructions	19
nb uops	18
loop length	142
used x86 registers	4
used mmx registers	0
used xmm registers	0
used ymm registers	0
used zmm registers	9
nb stack references	0

Front-end

ASSUMED MACRO FUSION FIT IN UOP CACHE

micro-operation queue	2.25 cycles
front end	2.25 cycles

Back-end

	P0	P1	P2	P3	P4	P5	P6	P7	P8	P9	P10	P11	P12	P13	P14	P15
uops	0.33	0.33	0.33	0.33	0.33	0.33	4.00	4.00	4.00	4.00	4.00	4.00	0.00	0.00	0.00	0.00
cycles	0.33	0.33	0.33	0.33	0.33	0.33	4.00	4.00	4.00	4.00	4.00	4.00	0.00	0.00	0.00	0.00

Execution ports to units layout:

P0: ALU
P1: ALU
P2: ALU
P3: ALU, BRU
P4: ALU, BRU
P5: ALU, BRU
P6 (512 bits): store address, load
P7 (512 bits): store address, load
P8 (512 bits): store address, load
P9 (512 bits): store address, load
P10 (512 bits): VPU, DIV/SQRT
P11 (512 bits): VPU, DIV/SQRT
P12 (512 bits): VPU
P13 (512 bits): VPU
P14 (512 bits): FP store data
P15 (512 bits): FP store data

Cycles executing div or sqrt instructions	NA
Longest recurrence chain latency (RecMII)	32.00

Cycles summary

Front-end	2.25
Dispatch	4.00
Data deps.	32.00
Overall L1	32.00

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	NA (no other vectorizable/vectorized instructions)

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	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 32.00 cycles. At this rate:

12% of peak load performance is reached (32.00 out of 256.00 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: 429608

Instruction	Nb FU	P0	P1	P2	P3	P4	P5	P6	P7	P8	P9	P10	P11	Latency	Recip. throughput	Vectorization
VMOVUPD (%R12,%RBX,1),%ZMM15	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	3	0.50	vect (100.0%)
VMOVUPD 0x40(%R12,%RBX,1),%ZMM4	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	3	0.50	vect (100.0%)
VMOVUPD 0x80(%R12,%RBX,1),%ZMM5	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	3	0.50	vect (100.0%)
VMOVUPD 0xc0(%R12,%RBX,1),%ZMM6	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	3	0.50	vect (100.0%)
VMOVUPD 0x100(%R12,%RBX,1),%ZMM7	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	3	0.50	vect (100.0%)
VMOVUPD 0x140(%R12,%RBX,1),%ZMM8	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	3	0.50	vect (100.0%)
VMOVUPD 0x180(%R12,%RBX,1),%ZMM9	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	3	0.50	vect (100.0%)
VMOVUPD 0x1c0(%R12,%RBX,1),%ZMM10	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	3	0.50	vect (100.0%)
VFMADD231PD (%R10,%RBX,1),%ZMM15,%ZMM11	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	4	0.50	vect (100.0%)
VFMADD231PD 0x40(%R10,%RBX,1),%ZMM4,%ZMM11	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	4	0.50	vect (100.0%)
VFMADD231PD 0x80(%R10,%RBX,1),%ZMM5,%ZMM11	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	4	0.50	vect (100.0%)
VFMADD231PD 0xc0(%R10,%RBX,1),%ZMM6,%ZMM11	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	4	0.50	vect (100.0%)
VFMADD231PD 0x100(%R10,%RBX,1),%ZMM7,%ZMM11	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	4	0.50	vect (100.0%)
VFMADD231PD 0x140(%R10,%RBX,1),%ZMM8,%ZMM11	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	4	0.50	vect (100.0%)
VFMADD231PD 0x180(%R10,%RBX,1),%ZMM9,%ZMM11	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	4	0.50	vect (100.0%)
VFMADD231PD 0x1c0(%R10,%RBX,1),%ZMM10,%ZMM11	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	4	0.50	vect (100.0%)
ADD $0x200,%RBX	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	1	0.17	N/A
CMP %RDI,%RBX	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	1	0.17	N/A
JNE 429608 <_ZN16miniqmcreference17TwoBodyJastrowRefIN11qmcplusplus14BsplineFunctorIdEEE9ratioGradERNS1_11ParticleSetEiRNS1_10TinyVectorIdLj3EEE+0x1b78>	1	0	0	0	0.33	0.33	0.33	0	0	0	0	0	0	1	0.50-1	N/A

Report Configuration

Vectorization

Details

Execution units bottlenecks

FMA

Vector unaligned load/store instructions

Details

Workaround

Type of elements and instruction set

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

Execution units bottlenecks

FMA

Vector unaligned load/store instructions

Details

Workaround

Type of elements and instruction set

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