OV - exec - Loop 294

	Loop Id: 294	Module: exec	Source: PdV.cpp:51-63	Coverage: 6.64%

0x43d8c4 LDR	Q17, [X18, X0]    [17]

0x43d8c8 LDR	Q16, [X5, X0]    [1]

0x43d8cc LDR	Q24, [X16, X0]    [13]

0x43d8d0 LDR	Q4, [X17, X0]    [15]

0x43d8d4 LDR	Q3, [X4, X0]    [19]

0x43d8d8 FADD	V0.2D, V17.2D, V16.2D

0x43d8dc LDR	Q26, [X15, X0]    [12]

0x43d8e0 FADD	V1.2D, V24.2D, V24.2D

0x43d8e4 LDR	Q28, [X6, X0]    [2]

0x43d8e8 LDR	Q27, [X7, X0]    [3]

0x43d8ec FADD	V2.2D, V4.2D, V3.2D

0x43d8f0 LDR	Q25, [X8, X0]    [4]

0x43d8f4 FADD	V18.2D, V26.2D, V26.2D

0x43d8f8 FMUL	V19.2D, V0.2D, V1.2D

0x43d8fc LDR	Q7, [X21, X0]    [8]

0x43d900 LDR	Q6, [X19, X0]    [18]

0x43d904 FADD	V20.2D, V28.2D, V27.2D

0x43d908 LDR	Q5, [X20, X0]    [6]

0x43d90c FADD	V22.2D, V25.2D, V25.2D

0x43d910 FMUL	V23.2D, V2.2D, V18.2D

0x43d914 FADD	V31.2D, V7.2D, V7.2D

0x43d918 LDR	Q21, [X12, X0]    [9]

0x43d91c LDR	Q17, [X13, X0]    [10]

0x43d920 FADD	V16.2D, V6.2D, V5.2D

0x43d924 LDR	Q24, [X2, X0]    [16]

0x43d928 FMLA	V19.2D, V22.2D, V20.2D

0x43d92c LDR	Q4, [X14, X0]    [11]

0x43d930 FADD	V3.2D, V21.2D, V17.2D

0x43d934 LDR	Q26, [X11, X0]    [7]

0x43d938 FMLA	V23.2D, V31.2D, V16.2D

0x43d93c FDIV	V0.2D, V3.2D, V24.2D

0x43d940 FDIV	V1.2D, V0.2D, V4.2D

0x43d944 FSUB	V28.2D, V23.2D, V19.2D

0x43d948 FMUL	V27.2D, V28.2D, V29.2D

0x43d94c FMLS	V26.2D, V1.2D, V27.2D

0x43d950 FADD	V2.2D, V4.2D, V27.2D

0x43d954 STR	Q26, [X10, X0]    [5]

0x43d958 FDIV	V25.2D, V4.2D, V2.2D

0x43d95c LDR	Q18, [X2, X0]    [16]

0x43d960 FMUL	V19.2D, V18.2D, V25.2D

0x43d964 STR	Q19, [X1, X0]    [14]

0x43d968 ADD	X0, X0, #16

0x43d96c CMP	X0, X3

0x43d970 B.NE	43d8c4

/home/eoseret/qaas/qaas_runs/178-219-7589/intel/CloverLeaf2.0-CXX/build/CloverLeaf2.0-CXX/src/omp/PdV.cpp: 51 - 63

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

51:         double left_flux = (xarea(i, j) * (xvel0(i, j) + xvel0(i + 0, j + 1) + xvel0(i, j) + xvel0(i + 0, j + 1))) * 0.25 * dt * 0.5;

52:         double right_flux =

53:             (xarea(i + 1, j + 0) * (xvel0(i + 1, j + 0) + xvel0(i + 1, j + 1) + xvel0(i + 1, j + 0) + xvel0(i + 1, j + 1))) * 0.25 * dt *

54:             0.5;

55:         double bottom_flux = (yarea(i, j) * (yvel0(i, j) + yvel0(i + 1, j + 0) + yvel0(i, j) + yvel0(i + 1, j + 0))) * 0.25 * dt * 0.5;

56:         double top_flux = (yarea(i + 0, j + 1) * (yvel0(i + 0, j + 1) + yvel0(i + 1, j + 1) + yvel0(i + 0, j + 1) + yvel0(i + 1, j + 1))) *

57:                           0.25 * dt * 0.5;

58:         double total_flux = right_flux - left_flux + top_flux - bottom_flux;

59:         double volume_change_s = volume(i, j) / (volume(i, j) + total_flux);

60:         double recip_volume = 1.0 / volume(i, j);

61:         double energy_change = (pressure(i, j) / density0(i, j) + viscosity(i, j) / density0(i, j)) * total_flux * recip_volume;

62:         energy1(i, j) = energy0(i, j) - energy_change;

63:         density1(i, j) = density0(i, j) * volume_change_s;

Coverage (%)	Name	Source Location	Module
►98.42+	omp_fulfill_event		libgomp.so.1.0.0
○	start_thread		libc.so.6
○	thread_start		libc.so.6
►1.58+	GOMP_parallel		libgomp.so.1.0.0
○	PdV(global_variables&, bool)	PdV.cpp:99	exec
○	hydro(global_variables&, paral[...]	hydro.cpp:64	exec
○	main	clover_leaf.cpp:209	exec
○	__libc_start_call_main		libc.so.6
○	__libc_start_main		libc.so.6
○	_start	clover_leaf.cpp:51	exec

min	med	avg	max

Percentile Index	10	20	30	40	50	60	70	80	90	100
Value

min	med	avg	max

Percentile Index	10	20	30	40	50	60	70	80	90	100
Value

Path /

Metric	Value
CQA speedup if no scalar integer	1.00
CQA speedup if FP arith vectorized	1.00
CQA speedup if fully vectorized	1.00
CQA speedup if no inter-iteration dependency	NA
CQA speedup if next bottleneck killed	1.57 - 3.15
Bottlenecks	P6, P8,
Function	PdV_kernel(bool, int, int, int, int, double, clover::Buffer2D&, clover::Buffer2D&, clover::Buffer2D&, clover::Buffer2D&, clover::Buffer2D&, clover::Buffer2D&, clover::Buffer2D&, clover::Buffer2D&, clover::Buffer2D&, clover::Buffer2D&, clover::Buffer2D&, clover::Buffer2D&, clover::Buffer2D&, clover::Buffer2D&) [clone ._omp_fn.0]
Source	PdV.cpp:51-63
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	10.49 - 20.98
CQA cycles if no scalar integer	10.49 - 20.98
CQA cycles if FP arith vectorized	10.49 - 20.98
CQA cycles if fully vectorized	10.49 - 20.98
Front-end cycles	5.50
P0 cycles	0.50
P1 cycles	0.50
P2 cycles	0.50
P3 cycles	0.50
P4 cycles	0.50
P5 cycles	0.50
P6 cycles	5.75
P7 cycles	5.75
P8 cycles	5.75
P9 cycles	5.75
P10 cycles	6.67
P11 cycles	6.67
P12 cycles	6.67
P13 cycles	0.00
P14 cycles	0.00
DIV/SQRT cycles	10.49 - 20.98
Inter-iter dependencies cycles	1
FE+BE cycles (UFS)	NA
Stall cycles (UFS)	NA
Nb insns	44.00
Nb uops	44.00
Nb loads	NA
Nb stores	2.00
Nb stack references	0.00
FLOP/cycle	4.58 - 2.29
Nb FLOP add-sub	22.00
Nb FLOP mul	8.00
Nb FLOP fma	6.00
Nb FLOP div	6.00
Nb FLOP rcp	0.00
Nb FLOP sqrt	0.00
Nb FLOP rsqrt	0.00
Bytes/cycle	0.00
Bytes prefetched	0.00
Bytes loaded	0.00
Bytes stored	0.00
Stride 0	0.00
Stride 1	0.00
Stride n	19.00
Stride unknown	0.00
Stride indirect	0.00
Vectorization ratio all	100.00
Vectorization ratio load	100.00
Vectorization ratio store	100.00
Vectorization ratio mul	100.00
Vectorization ratio add_sub	100.00
Vectorization ratio fma	100.00
Vectorization ratio div_sqrt	100.00
Vectorization ratio other	NA
Vector-efficiency ratio all	50.00
Vector-efficiency ratio load	50.00
Vector-efficiency ratio store	50.00
Vector-efficiency ratio mul	50.00
Vector-efficiency ratio add_sub	50.00
Vector-efficiency ratio fma	50.00
Vector-efficiency ratio div_sqrt	50.00
Vector-efficiency ratio other	NA

Metric	Value
CQA speedup if no scalar integer	1.00
CQA speedup if FP arith vectorized	1.00
CQA speedup if fully vectorized	1.00
CQA speedup if no inter-iteration dependency	NA
CQA speedup if next bottleneck killed	1.57 - 3.15
Bottlenecks	P6, P8,
Function	PdV_kernel(bool, int, int, int, int, double, clover::Buffer2D&, clover::Buffer2D&, clover::Buffer2D&, clover::Buffer2D&, clover::Buffer2D&, clover::Buffer2D&, clover::Buffer2D&, clover::Buffer2D&, clover::Buffer2D&, clover::Buffer2D&, clover::Buffer2D&, clover::Buffer2D&, clover::Buffer2D&, clover::Buffer2D&) [clone ._omp_fn.0]
Source	PdV.cpp:51-63
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	10.49 - 20.98
CQA cycles if no scalar integer	10.49 - 20.98
CQA cycles if FP arith vectorized	10.49 - 20.98
CQA cycles if fully vectorized	10.49 - 20.98
Front-end cycles	5.50
P0 cycles	0.50
P1 cycles	0.50
P2 cycles	0.50
P3 cycles	0.50
P4 cycles	0.50
P5 cycles	0.50
P6 cycles	5.75
P7 cycles	5.75
P8 cycles	5.75
P9 cycles	5.75
P10 cycles	6.67
P11 cycles	6.67
P12 cycles	6.67
P13 cycles	0.00
P14 cycles	0.00
DIV/SQRT cycles	10.49 - 20.98
Inter-iter dependencies cycles	1
FE+BE cycles (UFS)	NA
Stall cycles (UFS)	NA
Nb insns	44.00
Nb uops	44.00
Nb loads	NA
Nb stores	2.00
Nb stack references	0.00
FLOP/cycle	4.58 - 2.29
Nb FLOP add-sub	22.00
Nb FLOP mul	8.00
Nb FLOP fma	6.00
Nb FLOP div	6.00
Nb FLOP rcp	0.00
Nb FLOP sqrt	0.00
Nb FLOP rsqrt	0.00
Bytes/cycle	0.00
Bytes prefetched	0.00
Bytes loaded	0.00
Bytes stored	0.00
Stride 0	0.00
Stride 1	0.00
Stride n	19.00
Stride unknown	0.00
Stride indirect	0.00
Vectorization ratio all	100.00
Vectorization ratio load	100.00
Vectorization ratio store	100.00
Vectorization ratio mul	100.00
Vectorization ratio add_sub	100.00
Vectorization ratio fma	100.00
Vectorization ratio div_sqrt	100.00
Vectorization ratio other	NA
Vector-efficiency ratio all	50.00
Vector-efficiency ratio load	50.00
Vector-efficiency ratio store	50.00
Vector-efficiency ratio mul	50.00
Vector-efficiency ratio add_sub	50.00
Vector-efficiency ratio fma	50.00
Vector-efficiency ratio div_sqrt	50.00
Vector-efficiency ratio other	NA

Path /

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

Function	PdV_kernel(bool, int, int, int, int, double, clover::Buffer2D&, clover::Buffer2D&, clover::Buffer2D&, clover::Buffer2D&, clover::Buffer2D&, clover::Buffer2D&, clover::Buffer2D&, clover::Buffer2D&, clover::Buffer2D&, clover::Buffer2D&, clover::Buffer2D&, clover::Buffer2D&, clover::Buffer2D&, clover::Buffer2D&) [clone ._omp_fn.0]
Source file and lines	PdV.cpp:51-63
Module	exec

The loop is defined in /home/eoseret/qaas/qaas_runs/178-219-7589/intel/CloverLeaf2.0-CXX/build/CloverLeaf2.0-CXX/src/omp/PdV.cpp:51-63.

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

gain
potential
hint
expert

Vectorization

Your loop is vectorized, but using only 128 out of 256 bits (SSE/AVX-128 instructions on AVX/AVX2 processors).

Details

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

Expensive FP math instructions/calls

Detected performance impact from expensive FP math instructions/calls. By removing/reexpressing them, you can lower the cost of an iteration from 20.98 to 6.67 cycles (3.15x speedup).

FMA

Detected 6 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).

Slow data structures access

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

Details

Constant non-unit stride: 19 occurrence(s)

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

Workaround

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

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

The binary loop is composed of 48 FP arithmetical operations:

28: addition or subtraction (6 inside FMA instructions)
14: multiply (6 inside FMA instructions)
6: divide

The binary loop does not load or store any data.

General properties

nb instructions	44
nb uops	44
loop length	176
used w registers	0
used x registers	21
used b registers	0
used h registers	0
used s registers	0
used d registers	0
used q registers	15
used v registers	23
used z registers	0
nb stack references	0
ADD-SUB / MUL ratio	2.75

Front-end

MACRO FUSION NOT POSSIBLE FIT IN UOP CACHE

micro-operation queue	5.50 cycles
front end	5.50 cycles

Back-end

	P0	P1	P2	P3	P4	P5	P6	P7	P8	P9	P10	P11	P12	P13	P14
uops	0.50	0.50	0.50	0.50	0.50	0.50	5.75	5.75	5.75	5.75	6.67	6.67	6.67	0.00	0.00
cycles	0.50	0.50	0.50	0.50	0.50	0.50	5.75	5.75	5.75	5.75	6.67	6.67	6.67	0.00	0.00

Execution ports to units layout:

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

Cycles executing div or sqrt instructions	10.49-20.98
Longest recurrence chain latency (RecMII)	1.00

Cycles summary

Front-end	5.50
Dispatch	6.67
DIV/SQRT	10.49-20.98
Data deps.	1.00
Overall L1	10.49-20.98

Vectorization ratios

INT

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

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

INT+FP

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

Vector efficiency ratios

INT

all	50%
load	50%
store	50%
mul	NA (no mul vectorizable/vectorized instructions)
add-sub	NA (no add-sub vectorizable/vectorized instructions)
fma	NA (no fma vectorizable/vectorized instructions)
other	NA (no other vectorizable/vectorized instructions)

all	50%
load	NA (no load vectorizable/vectorized instructions)
store	NA (no store vectorizable/vectorized instructions)
mul	50%
add-sub	50%
fma	50%
div/sqrt	50%
other	NA (no other vectorizable/vectorized instructions)

INT+FP

all	50%
load	50%
store	50%
mul	50%
add-sub	50%
fma	50%
div/sqrt	50%
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 20.98 cycles.

Front-end bottlenecks

Found no such bottlenecks.

ASM code

In the binary file, the address of the loop is: 43d8c4

Instruction	Nb FU	P0	P1	P2	P3	P4	P5	P6	P7	P8	P9	P10	P11	P12	Latency	Recip. throughput	Vectorization
LDR Q17, [X18, X0]	1	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (50.0%)
LDR Q16, [X5, X0]	1	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (50.0%)
LDR Q24, [X16, X0]	1	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (50.0%)
LDR Q4, [X17, X0]	1	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (50.0%)
LDR Q3, [X4, X0]	1	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (50.0%)
FADD V0.2D, V17.2D, V16.2D	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	2	0.25	vect (50.0%)
LDR Q26, [X15, X0]	1	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (50.0%)
FADD V1.2D, V24.2D, V24.2D	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	2	0.25	vect (50.0%)
LDR Q28, [X6, X0]	1	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (50.0%)
LDR Q27, [X7, X0]	1	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (50.0%)
FADD V2.2D, V4.2D, V3.2D	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	2	0.25	vect (50.0%)
LDR Q25, [X8, X0]	1	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (50.0%)
FADD V18.2D, V26.2D, V26.2D	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	2	0.25	vect (50.0%)
FMUL V19.2D, V0.2D, V1.2D	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	3	0.25	vect (50.0%)
LDR Q7, [X21, X0]	1	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (50.0%)
LDR Q6, [X19, X0]	1	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (50.0%)
FADD V20.2D, V28.2D, V27.2D	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	2	0.25	vect (50.0%)
LDR Q5, [X20, X0]	1	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (50.0%)
FADD V22.2D, V25.2D, V25.2D	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	2	0.25	vect (50.0%)
FMUL V23.2D, V2.2D, V18.2D	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	3	0.25	vect (50.0%)
FADD V31.2D, V7.2D, V7.2D	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	2	0.25	vect (50.0%)
LDR Q21, [X12, X0]	1	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (50.0%)
LDR Q17, [X13, X0]	1	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (50.0%)
FADD V16.2D, V6.2D, V5.2D	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	2	0.25	vect (50.0%)
LDR Q24, [X2, X0]	1	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (50.0%)
FMLA V19.2D, V22.2D, V20.2D	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	4	0.25	vect (50.0%)
LDR Q4, [X14, X0]	1	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (50.0%)
FADD V3.2D, V21.2D, V17.2D	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	2	0.25	vect (50.0%)
LDR Q26, [X11, X0]	1	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (50.0%)
FMLA V23.2D, V31.2D, V16.2D	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	4	0.25	vect (50.0%)
FDIV V0.2D, V3.2D, V24.2D	1	0	0	0	0	0	0	0.50	0	0.50	0	0	0	0	7-15	3.50-6.99	vect (50.0%)
FDIV V1.2D, V0.2D, V4.2D	1	0	0	0	0	0	0	0.50	0	0.50	0	0	0	0	7-15	3.50-6.99	vect (50.0%)
FSUB V28.2D, V23.2D, V19.2D	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	2	0.25	vect (50.0%)
FMUL V27.2D, V28.2D, V29.2D	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	3	0.25	vect (50.0%)
FMLS V26.2D, V1.2D, V27.2D	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	4	0.25	vect (50.0%)
FADD V2.2D, V4.2D, V27.2D	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	2	0.25	vect (50.0%)
STR Q26, [X10, X0]	1	0	0	0	0	0	0	0.50	0.50	0	0	0.50	0.50	0	2	0.50	vect (50.0%)
FDIV V25.2D, V4.2D, V2.2D	1	0	0	0	0	0	0	0.50	0	0.50	0	0	0	0	7-15	3.50-6.99	vect (50.0%)
LDR Q18, [X2, X0]	1	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (50.0%)
FMUL V19.2D, V18.2D, V25.2D	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	3	0.25	vect (50.0%)
STR Q19, [X1, X0]	1	0	0	0	0	0	0	0.50	0.50	0	0	0.50	0.50	0	2	0.50	vect (50.0%)
ADD X0, X0, #16	1	0	0	0.25	0.25	0.25	0.25	0	0	0	0	0	0	0	1	0.25	N/A
CMP X0, X3	1	0	0	0.25	0.25	0.25	0.25	0	0	0	0	0	0	0	1	0.33	N/A
B.NE 43d8c4 <_Z10PdV_kernelbiiiidRN6clover8Buffer2DIdEES2_S2_S2_S2_S2_S2_S2_S2_S2_S2_S2_S2_S2_._omp_fn.0+0x304>	1	0.50	0.50	0	0	0	0	0	0	0	0	0	0	0	1	0.50	N/A

Function	PdV_kernel(bool, int, int, int, int, double, clover::Buffer2D&, clover::Buffer2D&, clover::Buffer2D&, clover::Buffer2D&, clover::Buffer2D&, clover::Buffer2D&, clover::Buffer2D&, clover::Buffer2D&, clover::Buffer2D&, clover::Buffer2D&, clover::Buffer2D&, clover::Buffer2D&, clover::Buffer2D&, clover::Buffer2D&) [clone ._omp_fn.0]
Source file and lines	PdV.cpp:51-63
Module	exec

gain
potential
hint
expert

Vectorization

Your loop is vectorized, but using only 128 out of 256 bits (SSE/AVX-128 instructions on AVX/AVX2 processors).

Details

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

Expensive FP math instructions/calls

Detected performance impact from expensive FP math instructions/calls. By removing/reexpressing them, you can lower the cost of an iteration from 20.98 to 6.67 cycles (3.15x speedup).

FMA

Detected 6 FMA (fused multiply-add) operations. Presence of both ADD/SUB and MUL operations.

Workaround

Slow data structures access

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

Details

Constant non-unit stride: 19 occurrence(s)

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

Workaround

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

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

The binary loop is composed of 48 FP arithmetical operations:

28: addition or subtraction (6 inside FMA instructions)
14: multiply (6 inside FMA instructions)
6: divide

The binary loop does not load or store any data.

General properties

nb instructions	44
nb uops	44
loop length	176
used w registers	0
used x registers	21
used b registers	0
used h registers	0
used s registers	0
used d registers	0
used q registers	15
used v registers	23
used z registers	0
nb stack references	0
ADD-SUB / MUL ratio	2.75

Front-end

MACRO FUSION NOT POSSIBLE FIT IN UOP CACHE

micro-operation queue	5.50 cycles
front end	5.50 cycles

Back-end

	P0	P1	P2	P3	P4	P5	P6	P7	P8	P9	P10	P11	P12	P13	P14
uops	0.50	0.50	0.50	0.50	0.50	0.50	5.75	5.75	5.75	5.75	6.67	6.67	6.67	0.00	0.00
cycles	0.50	0.50	0.50	0.50	0.50	0.50	5.75	5.75	5.75	5.75	6.67	6.67	6.67	0.00	0.00

Execution ports to units layout:

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

Cycles executing div or sqrt instructions	10.49-20.98
Longest recurrence chain latency (RecMII)	1.00

Cycles summary

Front-end	5.50
Dispatch	6.67
DIV/SQRT	10.49-20.98
Data deps.	1.00
Overall L1	10.49-20.98

Vectorization ratios

INT

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

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

INT+FP

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

Vector efficiency ratios

INT

all	50%
load	50%
store	50%
mul	NA (no mul vectorizable/vectorized instructions)
add-sub	NA (no add-sub vectorizable/vectorized instructions)
fma	NA (no fma vectorizable/vectorized instructions)
other	NA (no other vectorizable/vectorized instructions)

all	50%
load	NA (no load vectorizable/vectorized instructions)
store	NA (no store vectorizable/vectorized instructions)
mul	50%
add-sub	50%
fma	50%
div/sqrt	50%
other	NA (no other vectorizable/vectorized instructions)

INT+FP

all	50%
load	50%
store	50%
mul	50%
add-sub	50%
fma	50%
div/sqrt	50%
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 20.98 cycles.

Front-end bottlenecks

Found no such bottlenecks.

ASM code

In the binary file, the address of the loop is: 43d8c4

Instruction	Nb FU	P0	P1	P2	P3	P4	P5	P6	P7	P8	P9	P10	P11	P12	Latency	Recip. throughput	Vectorization
LDR Q17, [X18, X0]	1	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (50.0%)
LDR Q16, [X5, X0]	1	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (50.0%)
LDR Q24, [X16, X0]	1	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (50.0%)
LDR Q4, [X17, X0]	1	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (50.0%)
LDR Q3, [X4, X0]	1	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (50.0%)
FADD V0.2D, V17.2D, V16.2D	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	2	0.25	vect (50.0%)
LDR Q26, [X15, X0]	1	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (50.0%)
FADD V1.2D, V24.2D, V24.2D	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	2	0.25	vect (50.0%)
LDR Q28, [X6, X0]	1	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (50.0%)
LDR Q27, [X7, X0]	1	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (50.0%)
FADD V2.2D, V4.2D, V3.2D	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	2	0.25	vect (50.0%)
LDR Q25, [X8, X0]	1	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (50.0%)
FADD V18.2D, V26.2D, V26.2D	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	2	0.25	vect (50.0%)
FMUL V19.2D, V0.2D, V1.2D	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	3	0.25	vect (50.0%)
LDR Q7, [X21, X0]	1	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (50.0%)
LDR Q6, [X19, X0]	1	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (50.0%)
FADD V20.2D, V28.2D, V27.2D	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	2	0.25	vect (50.0%)
LDR Q5, [X20, X0]	1	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (50.0%)
FADD V22.2D, V25.2D, V25.2D	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	2	0.25	vect (50.0%)
FMUL V23.2D, V2.2D, V18.2D	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	3	0.25	vect (50.0%)
FADD V31.2D, V7.2D, V7.2D	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	2	0.25	vect (50.0%)
LDR Q21, [X12, X0]	1	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (50.0%)
LDR Q17, [X13, X0]	1	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (50.0%)
FADD V16.2D, V6.2D, V5.2D	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	2	0.25	vect (50.0%)
LDR Q24, [X2, X0]	1	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (50.0%)
FMLA V19.2D, V22.2D, V20.2D	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	4	0.25	vect (50.0%)
LDR Q4, [X14, X0]	1	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (50.0%)
FADD V3.2D, V21.2D, V17.2D	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	2	0.25	vect (50.0%)
LDR Q26, [X11, X0]	1	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (50.0%)
FMLA V23.2D, V31.2D, V16.2D	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	4	0.25	vect (50.0%)
FDIV V0.2D, V3.2D, V24.2D	1	0	0	0	0	0	0	0.50	0	0.50	0	0	0	0	7-15	3.50-6.99	vect (50.0%)
FDIV V1.2D, V0.2D, V4.2D	1	0	0	0	0	0	0	0.50	0	0.50	0	0	0	0	7-15	3.50-6.99	vect (50.0%)
FSUB V28.2D, V23.2D, V19.2D	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	2	0.25	vect (50.0%)
FMUL V27.2D, V28.2D, V29.2D	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	3	0.25	vect (50.0%)
FMLS V26.2D, V1.2D, V27.2D	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	4	0.25	vect (50.0%)
FADD V2.2D, V4.2D, V27.2D	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	2	0.25	vect (50.0%)
STR Q26, [X10, X0]	1	0	0	0	0	0	0	0.50	0.50	0	0	0.50	0.50	0	2	0.50	vect (50.0%)
FDIV V25.2D, V4.2D, V2.2D	1	0	0	0	0	0	0	0.50	0	0.50	0	0	0	0	7-15	3.50-6.99	vect (50.0%)
LDR Q18, [X2, X0]	1	0	0	0	0	0	0	0	0	0	0	0.33	0.33	0.33	6	0.33	vect (50.0%)
FMUL V19.2D, V18.2D, V25.2D	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	3	0.25	vect (50.0%)
STR Q19, [X1, X0]	1	0	0	0	0	0	0	0.50	0.50	0	0	0.50	0.50	0	2	0.50	vect (50.0%)
ADD X0, X0, #16	1	0	0	0.25	0.25	0.25	0.25	0	0	0	0	0	0	0	1	0.25	N/A
CMP X0, X3	1	0	0	0.25	0.25	0.25	0.25	0	0	0	0	0	0	0	1	0.33	N/A
B.NE 43d8c4 <_Z10PdV_kernelbiiiidRN6clover8Buffer2DIdEES2_S2_S2_S2_S2_S2_S2_S2_S2_S2_S2_S2_S2_._omp_fn.0+0x304>	1	0.50	0.50	0	0	0	0	0	0	0	0	0	0	0	1	0.50	N/A

Report Configuration

Vectorization

Details

Expensive FP math instructions/calls

FMA

Workaround

Slow data structures access

Details

Workaround

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

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

Expensive FP math instructions/calls

FMA

Workaround

Slow data structures access

Details

Workaround

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

General properties

Front-end

Back-end

Cycles summary

Vectorization ratios

Vector efficiency ratios

Cycles and memory resources usage

Front-end bottlenecks

ASM code