OV - exec - Loop 110

	Loop Id: 110	Module: exec	Source: timestep.c:110-116	Coverage: 0.11%

0x412060 VMOVSD	(%RAX),%XMM1    [3]

0x412064 VMOVSD	0x8(%RAX),%XMM2    [3]

0x412069 VMULSD	%XMM2,%XMM2,%XMM6

0x41206d VFMADD231SD	%XMM1,%XMM1,%XMM6

0x412072 MOVSXD	(%RDX),%R14    [5]

0x412075 VMOVSD	0x10(%RAX),%XMM7    [3]

0x41207a VMOVSD	0x20(%RAX),%XMM9    [3]

0x41207f VMULSD	%XMM9,%XMM9,%XMM10

0x412084 MOVSXD	0x4(%RDX),%RSI    [5]

0x412088 VMOVSD	0x28(%RAX),%XMM11    [3]

0x41208d VMOVSD	0x30(%RAX),%XMM13    [3]

0x412092 VMOVSD	0x38(%RAX),%XMM14    [3]

0x412097 VMULSD	%XMM14,%XMM14,%XMM15

0x41209c VFMADD231SD	%XMM13,%XMM13,%XMM15

0x4120a1 MOVSXD	0x8(%RDX),%RCX    [5]

0x4120a5 VMOVSD	0x40(%RAX),%XMM4    [3]

0x4120aa VFMADD132SD	%XMM7,%XMM6,%XMM7

0x4120af VMOVSD	0x50(%RAX),%XMM1    [3]

0x4120b4 VMULSD	%XMM1,%XMM1,%XMM2

0x4120b8 VMOVSD	0x58(%RAX),%XMM6    [3]

0x4120bd ADD	$0x10,%RDX

0x4120c1 ADD	$0x60,%RAX

0x4120c5 SAL	$0x4,%R14

0x4120c9 VFMADD132SD	%XMM4,%XMM15,%XMM4

0x4120ce VDIVSD	0x8(%RDI,%R14,1),%XMM3,%XMM5    [1]

0x4120d5 VFMADD132SD	%XMM7,%XMM0,%XMM5

0x4120da VMOVSD	-0x48(%RAX),%XMM0    [2]

0x4120df VFMADD231SD	%XMM0,%XMM0,%XMM10

0x4120e4 SAL	$0x4,%RSI

0x4120e8 VDIVSD	0x8(%RDI,%RSI,1),%XMM3,%XMM8    [1]

0x4120ee MOVSXD	-0x4(%RDX),%R14    [4]

0x4120f2 VFMADD132SD	%XMM11,%XMM10,%XMM11

0x4120f7 SAL	$0x4,%RCX

0x4120fb VDIVSD	0x8(%RDI,%RCX,1),%XMM3,%XMM12    [1]

0x412101 VFMADD132SD	%XMM11,%XMM5,%XMM8

0x412106 VMOVSD	-0x18(%RAX),%XMM5    [2]

0x41210b VFMADD231SD	%XMM5,%XMM5,%XMM2

0x412110 SAL	$0x4,%R14

0x412114 VDIVSD	0x8(%RDI,%R14,1),%XMM3,%XMM0    [1]

0x41211b VFMADD132SD	%XMM4,%XMM8,%XMM12

0x412120 VFMADD132SD	%XMM6,%XMM2,%XMM6

0x412125 VFMADD132SD	%XMM6,%XMM12,%XMM0

0x41212a CMP	%RDX,%R11

0x41212d JNE	412060

/beegfs/hackathon/users/eoseret/qaas_runs_test/gmz12.benchmarkcenter.megware.com/177-374-1600/CoMD/build/CoMD/CoMD/src-openmp/timestep.c: 110 - 116

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

110:       for (int iOff=MAXATOMS*iBox,ii=0; ii<s->boxes->nAtoms[iBox]; ii++,iOff++)

111:       {

112:          int iSpecies = s->atoms->iSpecies[iOff];

113:          real_t invMass = 0.5/s->species[iSpecies].mass;

114:          kenergy += ( s->atoms->p[iOff][0] * s->atoms->p[iOff][0] +

115:          s->atoms->p[iOff][1] * s->atoms->p[iOff][1] +

116:          s->atoms->p[iOff][2] * s->atoms->p[iOff][2] )*invMass;

Coverage (%)	Name	Source Location	Module
○100.00	gomp_thread_start	team.c:130	libgomp.so.1.0.0

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	2.48
CQA speedup if fully vectorized	8.00
CQA speedup if no inter-iteration dependency	NA
CQA speedup if next bottleneck killed	1.60
Bottlenecks	P10, P11,
Function	kineticEnergy._omp_fn.0
Source	timestep.c:110-116
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	16.00
CQA cycles if no scalar integer	16.00
CQA cycles if FP arith vectorized	6.45
CQA cycles if fully vectorized	2.00
Front-end cycles	5.38
P0 cycles	1.83
P1 cycles	1.83
P2 cycles	1.83
P3 cycles	1.83
P4 cycles	1.83
P5 cycles	1.83
P6 cycles	5.00
P7 cycles	5.00
P8 cycles	5.00
P9 cycles	5.00
P10 cycles	10.00
P11 cycles	10.00
P12 cycles	0.00
P13 cycles	0.00
P14 cycles	0.00
P15 cycles	0.00
DIV/SQRT cycles	16.00
Inter-iter dependencies cycles	16
FE+BE cycles (UFS)	NA
Stall cycles (UFS)	NA
Nb insns	44.00
Nb uops	43.00
Nb loads	20.00
Nb stores	0.00
Nb stack references	0.00
FLOP/cycle	2.00
Nb FLOP add-sub	0.00
Nb FLOP mul	4.00
Nb FLOP fma	12.00
Nb FLOP div	4.00
Nb FLOP rcp	0.00
Nb FLOP sqrt	0.00
Nb FLOP rsqrt	0.00
Bytes/cycle	9.00
Bytes prefetched	0.00
Bytes loaded	144.00
Bytes stored	0.00
Stride 0	1.00
Stride 1	1.00
Stride n	3.00
Stride unknown	0.00
Stride indirect	0.00
Vectorization ratio all	0.00
Vectorization ratio load	0.00
Vectorization ratio store	NA
Vectorization ratio mul	0.00
Vectorization ratio add_sub	NA
Vectorization ratio fma	0.00
Vectorization ratio div_sqrt	0.00
Vectorization ratio other	NA
Vector-efficiency ratio all	12.50
Vector-efficiency ratio load	12.50
Vector-efficiency ratio store	NA
Vector-efficiency ratio mul	12.50
Vector-efficiency ratio add_sub	NA
Vector-efficiency ratio fma	12.50
Vector-efficiency ratio div_sqrt	12.50
Vector-efficiency ratio other	NA

Metric	Value
CQA speedup if no scalar integer	1.00
CQA speedup if FP arith vectorized	2.48
CQA speedup if fully vectorized	8.00
CQA speedup if no inter-iteration dependency	NA
CQA speedup if next bottleneck killed	1.60
Bottlenecks	P10, P11,
Function	kineticEnergy._omp_fn.0
Source	timestep.c:110-116
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	16.00
CQA cycles if no scalar integer	16.00
CQA cycles if FP arith vectorized	6.45
CQA cycles if fully vectorized	2.00
Front-end cycles	5.38
P0 cycles	1.83
P1 cycles	1.83
P2 cycles	1.83
P3 cycles	1.83
P4 cycles	1.83
P5 cycles	1.83
P6 cycles	5.00
P7 cycles	5.00
P8 cycles	5.00
P9 cycles	5.00
P10 cycles	10.00
P11 cycles	10.00
P12 cycles	0.00
P13 cycles	0.00
P14 cycles	0.00
P15 cycles	0.00
DIV/SQRT cycles	16.00
Inter-iter dependencies cycles	16
FE+BE cycles (UFS)	NA
Stall cycles (UFS)	NA
Nb insns	44.00
Nb uops	43.00
Nb loads	20.00
Nb stores	0.00
Nb stack references	0.00
FLOP/cycle	2.00
Nb FLOP add-sub	0.00
Nb FLOP mul	4.00
Nb FLOP fma	12.00
Nb FLOP div	4.00
Nb FLOP rcp	0.00
Nb FLOP sqrt	0.00
Nb FLOP rsqrt	0.00
Bytes/cycle	9.00
Bytes prefetched	0.00
Bytes loaded	144.00
Bytes stored	0.00
Stride 0	1.00
Stride 1	1.00
Stride n	3.00
Stride unknown	0.00
Stride indirect	0.00
Vectorization ratio all	0.00
Vectorization ratio load	0.00
Vectorization ratio store	NA
Vectorization ratio mul	0.00
Vectorization ratio add_sub	NA
Vectorization ratio fma	0.00
Vectorization ratio div_sqrt	0.00
Vectorization ratio other	NA
Vector-efficiency ratio all	12.50
Vector-efficiency ratio load	12.50
Vector-efficiency ratio store	NA
Vector-efficiency ratio mul	12.50
Vector-efficiency ratio add_sub	NA
Vector-efficiency ratio fma	12.50
Vector-efficiency ratio div_sqrt	12.50
Vector-efficiency ratio other	NA

Path /

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

Function	kineticEnergy._omp_fn.0
Source file and lines	timestep.c:110-116
Module	exec

The loop is defined in /beegfs/hackathon/users/eoseret/qaas_runs_test/gmz12.benchmarkcenter.megware.com/177-374-1600/CoMD/build/CoMD/CoMD/src-openmp/timestep.c:110-116.

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

gain
potential
hint
expert

Vectorization

Your loop is not vectorized. 8 data elements could be processed at once in vector registers.

By vectorizing your loop, you can lower the cost of an iteration from 16.00 to 2.00 cycles (8.00x speedup).

Details

All SSE/AVX instructions are used in scalar version (process only one data element in vector registers). Since your execution units are vector units, only a vectorized loop can use their full power.

Workaround

Try another compiler or update/tune your current one:
- recompile with fassociative-math (included in Ofast or ffast-math) to extend loop vectorization to FP reductions.
Remove inter-iterations dependences from your loop and make it unit-stride:
- If your arrays have 2 or more dimensions, check whether elements are accessed contiguously and, otherwise, try to permute loops accordingly: C storage order is row-major: for(i) for(j) a[j][i] = b[j][i]; (slow, non stride 1) => for(i) for(j) a[i][j] = b[i][j]; (fast, stride 1)
- If your loop streams arrays of structures (AoS), try to use structures of arrays instead (SoA): for(i) a[i].x = b[i].x; (slow, non stride 1) => for(i) a.x[i] = b.x[i]; (fast, stride 1)

Execution units bottlenecks

Performance is limited by execution of divide and square root operations (the divide/square root unit is a bottleneck). By removing all these bottlenecks, you can lower the cost of an iteration from 16.00 to 10.00 cycles (1.60x speedup).

Workaround

Reduce the number of division or square root instructions:
- If denominator is constant over iterations, use reciprocal (replace x/y with x*(1/y)). Check precision impact. This will be done by your compiler with ffast-math or Ofast
Check whether you really need double precision. If not, switch to single precision to speedup execution

FMA

Detected 12 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: 3 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

20 SSE or AVX instructions are processing arithmetic or math operations on double precision FP elements in scalar mode (one at a time).

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

The binary loop is composed of 32 FP arithmetical operations:

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

The binary loop is loading 144 bytes (18 double precision FP elements).

Arithmetic intensity

Arithmetic intensity is 0.22 FP operations per loaded or stored byte.

General properties

nb instructions	44
nb uops	43
loop length	211
used x86 registers	7
used mmx registers	0
used xmm registers	16
used ymm registers	0
used zmm registers	0
nb stack references	0

Front-end

ASSUMED MACRO FUSION FIT IN UOP CACHE

micro-operation queue	5.38 cycles
front end	5.38 cycles

Back-end

	P0	P1	P2	P3	P4	P5	P6	P7	P8	P9	P10	P11	P12	P13	P14	P15
uops	1.83	1.83	1.83	1.83	1.83	1.83	5.00	5.00	5.00	5.00	10.00	10.00	0.00	0.00	0.00	0.00
cycles	1.83	1.83	1.83	1.83	1.83	1.83	5.00	5.00	5.00	5.00	10.00	10.00	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	16.00
Longest recurrence chain latency (RecMII)	16.00

Cycles summary

Front-end	5.38
Dispatch	10.00
DIV/SQRT	16.00
Data deps.	16.00
Overall L1	16.00

Vectorization ratios

all	0%
load	0%
store	NA (no store vectorizable/vectorized instructions)
mul	0%
add-sub	NA (no add-sub vectorizable/vectorized instructions)
fma	0%
div/sqrt	0%
other	NA (no other vectorizable/vectorized instructions)

Vector efficiency ratios

all	12%
load	12%
store	NA (no store vectorizable/vectorized instructions)
mul	12%
add-sub	NA (no add-sub vectorizable/vectorized instructions)
fma	12%
div/sqrt	12%
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 16.00 cycles. At this rate:

3% of peak load performance is reached (9.00 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: 412060

Instruction	Nb FU	P0	P1	P2	P3	P4	P5	P6	P7	P8	P9	P10	P11	Latency	Recip. throughput	Vectorization
VMOVSD (%RAX),%XMM1	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	1	0.50	scal (12.5%)
VMOVSD 0x8(%RAX),%XMM2	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	1	0.50	scal (12.5%)
VMULSD %XMM2,%XMM2,%XMM6	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	3	0.50	scal (12.5%)
VFMADD231SD %XMM1,%XMM1,%XMM6	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	4	0.50	scal (12.5%)
MOVSXD (%RDX),%R14	1	0.17	0.17	0.17	0.17	0.17	0.17	0.25	0.25	0.25	0.25	0	0	1	0.25	N/A
VMOVSD 0x10(%RAX),%XMM7	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	1	0.50	scal (12.5%)
VMOVSD 0x20(%RAX),%XMM9	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	1	0.50	scal (12.5%)
VMULSD %XMM9,%XMM9,%XMM10	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	3	0.50	scal (12.5%)
MOVSXD 0x4(%RDX),%RSI	1	0.17	0.17	0.17	0.17	0.17	0.17	0.25	0.25	0.25	0.25	0	0	1	0.25	N/A
VMOVSD 0x28(%RAX),%XMM11	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	1	0.50	scal (12.5%)
VMOVSD 0x30(%RAX),%XMM13	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	1	0.50	scal (12.5%)
VMOVSD 0x38(%RAX),%XMM14	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	1	0.50	scal (12.5%)
VMULSD %XMM14,%XMM14,%XMM15	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	3	0.50	scal (12.5%)
VFMADD231SD %XMM13,%XMM13,%XMM15	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	4	0.50	scal (12.5%)
MOVSXD 0x8(%RDX),%RCX	1	0.17	0.17	0.17	0.17	0.17	0.17	0.25	0.25	0.25	0.25	0	0	1	0.25	N/A
VMOVSD 0x40(%RAX),%XMM4	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	1	0.50	scal (12.5%)
VFMADD132SD %XMM7,%XMM6,%XMM7	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	4	0.50	scal (12.5%)
VMOVSD 0x50(%RAX),%XMM1	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	1	0.50	scal (12.5%)
VMULSD %XMM1,%XMM1,%XMM2	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	3	0.50	scal (12.5%)
VMOVSD 0x58(%RAX),%XMM6	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	1	0.50	scal (12.5%)
ADD $0x10,%RDX	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	1	0.17	N/A
ADD $0x60,%RAX	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	1	0.17	N/A
SAL $0x4,%R14	1	0	0	0	0.33	0.33	0.33	0	0	0	0	0	0	1	0.33	N/A
VFMADD132SD %XMM4,%XMM15,%XMM4	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	4	0.50	scal (12.5%)
VDIVSD 0x8(%RDI,%R14,1),%XMM3,%XMM5	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	13	4	scal (12.5%)
VFMADD132SD %XMM7,%XMM0,%XMM5	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	4	0.50	scal (12.5%)
VMOVSD -0x48(%RAX),%XMM0	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	1	0.50	scal (12.5%)
VFMADD231SD %XMM0,%XMM0,%XMM10	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	4	0.50	scal (12.5%)
SAL $0x4,%RSI	1	0	0	0	0.33	0.33	0.33	0	0	0	0	0	0	1	0.33	N/A
VDIVSD 0x8(%RDI,%RSI,1),%XMM3,%XMM8	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	13	4	scal (12.5%)
MOVSXD -0x4(%RDX),%R14	1	0.17	0.17	0.17	0.17	0.17	0.17	0.25	0.25	0.25	0.25	0	0	1	0.25	N/A
VFMADD132SD %XMM11,%XMM10,%XMM11	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	4	0.50	scal (12.5%)
SAL $0x4,%RCX	1	0	0	0	0.33	0.33	0.33	0	0	0	0	0	0	1	0.33	N/A
VDIVSD 0x8(%RDI,%RCX,1),%XMM3,%XMM12	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	13	4	scal (12.5%)
VFMADD132SD %XMM11,%XMM5,%XMM8	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	4	0.50	scal (12.5%)
VMOVSD -0x18(%RAX),%XMM5	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	1	0.50	scal (12.5%)
VFMADD231SD %XMM5,%XMM5,%XMM2	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	4	0.50	scal (12.5%)
SAL $0x4,%R14	1	0	0	0	0.33	0.33	0.33	0	0	0	0	0	0	1	0.33	N/A
VDIVSD 0x8(%RDI,%R14,1),%XMM3,%XMM0	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	13	4	scal (12.5%)
VFMADD132SD %XMM4,%XMM8,%XMM12	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	4	0.50	scal (12.5%)
VFMADD132SD %XMM6,%XMM2,%XMM6	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	4	0.50	scal (12.5%)
VFMADD132SD %XMM6,%XMM12,%XMM0	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	4	0.50	scal (12.5%)
CMP %RDX,%R11	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 412060 <kineticEnergy._omp_fn.0+0x180>	1	0	0	0	0.33	0.33	0.33	0	0	0	0	0	0	0	0.33-1	N/A

Function	kineticEnergy._omp_fn.0
Source file and lines	timestep.c:110-116
Module	exec

gain
potential
hint
expert

Vectorization

Your loop is not vectorized. 8 data elements could be processed at once in vector registers.

By vectorizing your loop, you can lower the cost of an iteration from 16.00 to 2.00 cycles (8.00x speedup).

Details

All SSE/AVX instructions are used in scalar version (process only one data element in vector registers). Since your execution units are vector units, only a vectorized loop can use their full power.

Workaround

Try another compiler or update/tune your current one:
- recompile with fassociative-math (included in Ofast or ffast-math) to extend loop vectorization to FP reductions.
Remove inter-iterations dependences from your loop and make it unit-stride:
- If your arrays have 2 or more dimensions, check whether elements are accessed contiguously and, otherwise, try to permute loops accordingly: C storage order is row-major: for(i) for(j) a[j][i] = b[j][i]; (slow, non stride 1) => for(i) for(j) a[i][j] = b[i][j]; (fast, stride 1)
- If your loop streams arrays of structures (AoS), try to use structures of arrays instead (SoA): for(i) a[i].x = b[i].x; (slow, non stride 1) => for(i) a.x[i] = b.x[i]; (fast, stride 1)

Execution units bottlenecks

Workaround

Reduce the number of division or square root instructions:
- If denominator is constant over iterations, use reciprocal (replace x/y with x*(1/y)). Check precision impact. This will be done by your compiler with ffast-math or Ofast
Check whether you really need double precision. If not, switch to single precision to speedup execution

FMA

Detected 12 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: 3 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

20 SSE or AVX instructions are processing arithmetic or math operations on double precision FP elements in scalar mode (one at a time).

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

The binary loop is composed of 32 FP arithmetical operations:

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

The binary loop is loading 144 bytes (18 double precision FP elements).

Arithmetic intensity

Arithmetic intensity is 0.22 FP operations per loaded or stored byte.

General properties

nb instructions	44
nb uops	43
loop length	211
used x86 registers	7
used mmx registers	0
used xmm registers	16
used ymm registers	0
used zmm registers	0
nb stack references	0

Front-end

ASSUMED MACRO FUSION FIT IN UOP CACHE

micro-operation queue	5.38 cycles
front end	5.38 cycles

Back-end

	P0	P1	P2	P3	P4	P5	P6	P7	P8	P9	P10	P11	P12	P13	P14	P15
uops	1.83	1.83	1.83	1.83	1.83	1.83	5.00	5.00	5.00	5.00	10.00	10.00	0.00	0.00	0.00	0.00
cycles	1.83	1.83	1.83	1.83	1.83	1.83	5.00	5.00	5.00	5.00	10.00	10.00	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	16.00
Longest recurrence chain latency (RecMII)	16.00

Cycles summary

Front-end	5.38
Dispatch	10.00
DIV/SQRT	16.00
Data deps.	16.00
Overall L1	16.00

Vectorization ratios

all	0%
load	0%
store	NA (no store vectorizable/vectorized instructions)
mul	0%
add-sub	NA (no add-sub vectorizable/vectorized instructions)
fma	0%
div/sqrt	0%
other	NA (no other vectorizable/vectorized instructions)

Vector efficiency ratios

all	12%
load	12%
store	NA (no store vectorizable/vectorized instructions)
mul	12%
add-sub	NA (no add-sub vectorizable/vectorized instructions)
fma	12%
div/sqrt	12%
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 16.00 cycles. At this rate:

3% of peak load performance is reached (9.00 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: 412060

Instruction	Nb FU	P0	P1	P2	P3	P4	P5	P6	P7	P8	P9	P10	P11	Latency	Recip. throughput	Vectorization
VMOVSD (%RAX),%XMM1	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	1	0.50	scal (12.5%)
VMOVSD 0x8(%RAX),%XMM2	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	1	0.50	scal (12.5%)
VMULSD %XMM2,%XMM2,%XMM6	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	3	0.50	scal (12.5%)
VFMADD231SD %XMM1,%XMM1,%XMM6	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	4	0.50	scal (12.5%)
MOVSXD (%RDX),%R14	1	0.17	0.17	0.17	0.17	0.17	0.17	0.25	0.25	0.25	0.25	0	0	1	0.25	N/A
VMOVSD 0x10(%RAX),%XMM7	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	1	0.50	scal (12.5%)
VMOVSD 0x20(%RAX),%XMM9	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	1	0.50	scal (12.5%)
VMULSD %XMM9,%XMM9,%XMM10	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	3	0.50	scal (12.5%)
MOVSXD 0x4(%RDX),%RSI	1	0.17	0.17	0.17	0.17	0.17	0.17	0.25	0.25	0.25	0.25	0	0	1	0.25	N/A
VMOVSD 0x28(%RAX),%XMM11	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	1	0.50	scal (12.5%)
VMOVSD 0x30(%RAX),%XMM13	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	1	0.50	scal (12.5%)
VMOVSD 0x38(%RAX),%XMM14	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	1	0.50	scal (12.5%)
VMULSD %XMM14,%XMM14,%XMM15	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	3	0.50	scal (12.5%)
VFMADD231SD %XMM13,%XMM13,%XMM15	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	4	0.50	scal (12.5%)
MOVSXD 0x8(%RDX),%RCX	1	0.17	0.17	0.17	0.17	0.17	0.17	0.25	0.25	0.25	0.25	0	0	1	0.25	N/A
VMOVSD 0x40(%RAX),%XMM4	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	1	0.50	scal (12.5%)
VFMADD132SD %XMM7,%XMM6,%XMM7	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	4	0.50	scal (12.5%)
VMOVSD 0x50(%RAX),%XMM1	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	1	0.50	scal (12.5%)
VMULSD %XMM1,%XMM1,%XMM2	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	3	0.50	scal (12.5%)
VMOVSD 0x58(%RAX),%XMM6	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	1	0.50	scal (12.5%)
ADD $0x10,%RDX	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	1	0.17	N/A
ADD $0x60,%RAX	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	1	0.17	N/A
SAL $0x4,%R14	1	0	0	0	0.33	0.33	0.33	0	0	0	0	0	0	1	0.33	N/A
VFMADD132SD %XMM4,%XMM15,%XMM4	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	4	0.50	scal (12.5%)
VDIVSD 0x8(%RDI,%R14,1),%XMM3,%XMM5	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	13	4	scal (12.5%)
VFMADD132SD %XMM7,%XMM0,%XMM5	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	4	0.50	scal (12.5%)
VMOVSD -0x48(%RAX),%XMM0	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	1	0.50	scal (12.5%)
VFMADD231SD %XMM0,%XMM0,%XMM10	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	4	0.50	scal (12.5%)
SAL $0x4,%RSI	1	0	0	0	0.33	0.33	0.33	0	0	0	0	0	0	1	0.33	N/A
VDIVSD 0x8(%RDI,%RSI,1),%XMM3,%XMM8	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	13	4	scal (12.5%)
MOVSXD -0x4(%RDX),%R14	1	0.17	0.17	0.17	0.17	0.17	0.17	0.25	0.25	0.25	0.25	0	0	1	0.25	N/A
VFMADD132SD %XMM11,%XMM10,%XMM11	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	4	0.50	scal (12.5%)
SAL $0x4,%RCX	1	0	0	0	0.33	0.33	0.33	0	0	0	0	0	0	1	0.33	N/A
VDIVSD 0x8(%RDI,%RCX,1),%XMM3,%XMM12	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	13	4	scal (12.5%)
VFMADD132SD %XMM11,%XMM5,%XMM8	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	4	0.50	scal (12.5%)
VMOVSD -0x18(%RAX),%XMM5	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	1	0.50	scal (12.5%)
VFMADD231SD %XMM5,%XMM5,%XMM2	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	4	0.50	scal (12.5%)
SAL $0x4,%R14	1	0	0	0	0.33	0.33	0.33	0	0	0	0	0	0	1	0.33	N/A
VDIVSD 0x8(%RDI,%R14,1),%XMM3,%XMM0	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	13	4	scal (12.5%)
VFMADD132SD %XMM4,%XMM8,%XMM12	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	4	0.50	scal (12.5%)
VFMADD132SD %XMM6,%XMM2,%XMM6	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	4	0.50	scal (12.5%)
VFMADD132SD %XMM6,%XMM12,%XMM0	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	4	0.50	scal (12.5%)
CMP %RDX,%R11	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 412060 <kineticEnergy._omp_fn.0+0x180>	1	0	0	0	0.33	0.33	0.33	0	0	0	0	0	0	0	0.33-1	N/A

Report Configuration

Vectorization

Details

Workaround

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

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

Workaround

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

General properties

Front-end

Back-end

Cycles summary

Vectorization ratios

Vector efficiency ratios

Cycles and memory resources usage

Front-end bottlenecks

ASM code