OV - exec - Loop 282

0x426ae0 LD1D	{Z0.D}, P1/Z, [X4, X22,LSL #3]    [1]

0x426ae4 LD1D	{Z2.D}, P1/Z, [X6, X22,LSL #3]    [4]

0x426ae8 FMUL	Z1.D, Z0.D, Z4.D

0x426aec FDIVR	Z0.D, P0/M, Z0.D, Z5.D

0x426af0 FMUL	Z6.D, Z1.D, Z2.D

0x426af4 FMUL	Z7.D, Z0.D, Z0.D

0x426af8 ST1D	{Z6.D}, P1, [X3, X22,LSL #3]    [2]

0x426afc LD1D	{Z3.D}, P1/Z, [X4, X22,LSL #3]    [1]

0x426b00 FMUL	Z16.D, Z3.D, Z4.D

0x426b04 FMUL	Z17.D, Z16.D, Z6.D

0x426b08 FMAD	Z6.D, P0/M, Z3.D, Z17.D

0x426b0c FMUL	Z18.D, Z7.D, Z6.D

0x426b10 FSQRT	Z18.D, P0/M, Z18.D

0x426b14 ST1D	{Z18.D}, P1, [X2, X22,LSL #3]    [3]

0x426b18 ADD	X22, X22, X7

0x426b1c WHILELO	P1.D, X22, X5

0x426b20 B.NE	426ae0

/home/hbollore/qaas-runs/170-309-0949/intel/CloverLeafFC/build/CloverLeafFC/CloverLeaf_ref/kernels/ideal_gas_kernel.f90: 50 - 55

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

50:         v=1.0_8/density(j,k)

51:         pressure(j,k)=(1.4_8-1.0_8)*density(j,k)*energy(j,k)

52:         pressurebyenergy=(1.4_8-1.0_8)*density(j,k)

53:         pressurebyvolume=-density(j,k)*pressure(j,k)

54:         sound_speed_squared=v*v*(pressure(j,k)*pressurebyenergy-pressurebyvolume)

55:         soundspeed(j,k)=SQRT(sound_speed_squared)

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	1.29
Bottlenecks	P6, P7,
Function	ideal_gas_kernel._omp_fn.0
Source	ideal_gas_kernel.f90:50-55
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	4.50
CQA cycles if no scalar integer	4.50
CQA cycles if FP arith vectorized	4.50
CQA cycles if fully vectorized	4.50
Front-end cycles	2.13
DIV/SQRT cycles	0.50
P0 cycles	0.50
P1 cycles	0.50
P2 cycles	0.25
P3 cycles	1.00
P4 cycles	0.25
P5 cycles	4.50
P6 cycles	4.50
P7 cycles	3.50
P8 cycles	3.50
P9 cycles	2.50
P10 cycles	2.50
P11 cycles	0.00
P12 cycles	0.00
P13 cycles	0.00
P14 cycles	2.00 - 1.00
Inter-iter dependencies cycles	1
FE+BE cycles (UFS)	NA
Stall cycles (UFS)	NA
Nb insns	17.00
Nb uops	17.00
Nb loads	NA
Nb stores	2.00
Nb stack references	0.00
FLOP/cycle	8.89
Nb FLOP add-sub	0.00
Nb FLOP mul	24.00
Nb FLOP fma	4.00
Nb FLOP div	4.00
Nb FLOP rcp	0.00
Nb FLOP sqrt	4.00
Nb FLOP rsqrt	0.00
Bytes/cycle	35.56
Bytes prefetched	0.00
Bytes loaded	96.00
Bytes stored	64.00
Stride 0	NA
Stride 1	NA
Stride n	NA
Stride unknown	NA
Stride indirect	NA
Vectorization ratio all	100.00
Vectorization ratio load	100.00
Vectorization ratio store	100.00
Vectorization ratio mul	100.00
Vectorization ratio add_sub	NA
Vectorization ratio fma	100.00
Vectorization ratio div_sqrt	100.00
Vectorization ratio other	NA
Vector-efficiency ratio all	100.00
Vector-efficiency ratio load	100.00
Vector-efficiency ratio store	100.00
Vector-efficiency ratio mul	100.00
Vector-efficiency ratio add_sub	NA
Vector-efficiency ratio fma	100.00
Vector-efficiency ratio div_sqrt	100.00
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	1.29
Bottlenecks	P6, P7,
Function	ideal_gas_kernel._omp_fn.0
Source	ideal_gas_kernel.f90:50-55
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	4.50
CQA cycles if no scalar integer	4.50
CQA cycles if FP arith vectorized	4.50
CQA cycles if fully vectorized	4.50
Front-end cycles	2.13
DIV/SQRT cycles	0.50
P0 cycles	0.50
P1 cycles	0.50
P2 cycles	0.25
P3 cycles	1.00
P4 cycles	0.25
P5 cycles	4.50
P6 cycles	4.50
P7 cycles	3.50
P8 cycles	3.50
P9 cycles	2.50
P10 cycles	2.50
P11 cycles	0.00
P12 cycles	0.00
P13 cycles	0.00
P14 cycles	2.00 - 1.00
Inter-iter dependencies cycles	1
FE+BE cycles (UFS)	NA
Stall cycles (UFS)	NA
Nb insns	17.00
Nb uops	17.00
Nb loads	NA
Nb stores	2.00
Nb stack references	0.00
FLOP/cycle	8.89
Nb FLOP add-sub	0.00
Nb FLOP mul	24.00
Nb FLOP fma	4.00
Nb FLOP div	4.00
Nb FLOP rcp	0.00
Nb FLOP sqrt	4.00
Nb FLOP rsqrt	0.00
Bytes/cycle	35.56
Bytes prefetched	0.00
Bytes loaded	96.00
Bytes stored	64.00
Stride 0	NA
Stride 1	NA
Stride n	NA
Stride unknown	NA
Stride indirect	NA
Vectorization ratio all	100.00
Vectorization ratio load	100.00
Vectorization ratio store	100.00
Vectorization ratio mul	100.00
Vectorization ratio add_sub	NA
Vectorization ratio fma	100.00
Vectorization ratio div_sqrt	100.00
Vectorization ratio other	NA
Vector-efficiency ratio all	100.00
Vector-efficiency ratio load	100.00
Vector-efficiency ratio store	100.00
Vector-efficiency ratio mul	100.00
Vector-efficiency ratio add_sub	NA
Vector-efficiency ratio fma	100.00
Vector-efficiency ratio div_sqrt	100.00
Vector-efficiency ratio other	NA

Path /

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

Function	ideal_gas_kernel._omp_fn.0
Source file and lines	ideal_gas_kernel.f90:50-55
Module	exec

The loop is defined in /home/hbollore/qaas-runs/170-309-0949/intel/CloverLeafFC/build/CloverLeafFC/CloverLeaf_ref/kernels/ideal_gas_kernel.f90:50-55.

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

FMA

Detected 4 FMA (fused multiply-add) operations.

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

The binary loop is composed of 40 FP arithmetical operations:

4: addition or subtraction (all inside FMA instructions)
28: multiply (4 inside FMA instructions)
4: divide
4: square root

The binary loop is loading 96 bytes. The binary loop is storing 64 bytes.

Arithmetic intensity

Arithmetic intensity is 0.25 FP operations per loaded or stored byte.

General properties

nb instructions	17
loop length	68
nb stack references	0

Front-end

FIT IN UOP CACHE

front end

2.13 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	0.25	1.00	0.25	4.50	4.50	1.00	1.00	2.50	2.50	0.00	0.00	0.00
cycles	0.50	0.50	0.50	0.25	1.00	0.25	4.50	4.50	3.50	3.50	2.50	2.50	0.00	0.00	0.00

Execution ports to units layout:

P0:
P1:
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	2.00-1.00
Longest recurrence chain latency (RecMII)	1.00

Cycles summary

Front-end	2.13
Data deps.	1.00
Overall L1	4.50

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)

FP

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

INT+FP

all	100%
load	100%
store	100%
mul	100%
add-sub	NA (no add-sub vectorizable/vectorized instructions)
fma	100%
div/sqrt	100%
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 4.50 cycles. At this rate:

22% of peak load performance is reached (21.33 out of 96.00 bytes loaded per cycle (GB/s @ 1GHz))
29% of peak store performance is reached (14.22 out of 48.00 bytes stored per cycle (GB/s @ 1GHz))

ASM code

In the binary file, the address of the loop is: 426ae0

Instruction	Nb FU	P0	P1	P2	P3	P4	P5	P6	P7	P8	P9	P10	P11	Latency	Recip. throughput
LD1D {Z0.D}, P1/Z, [X4, X22,LSL #3]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50
LD1D {Z2.D}, P1/Z, [X6, X22,LSL #3]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50
FMUL Z1.D, Z0.D, Z4.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	3	0.50
FDIVR Z0.D, P0/M, Z0.D, Z5.D	1	0	0	0	0	0	0	1	0	0	0	0	0	7-15	1-0.50
FMUL Z6.D, Z1.D, Z2.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	3	0.50
FMUL Z7.D, Z0.D, Z0.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	3	0.50
ST1D {Z6.D}, P1, [X3, X22,LSL #3]	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	2	0.50
LD1D {Z3.D}, P1/Z, [X4, X22,LSL #3]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50
FMUL Z16.D, Z3.D, Z4.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	3	0.50
FMUL Z17.D, Z16.D, Z6.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	3	0.50
FMAD Z6.D, P0/M, Z3.D, Z17.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50
FMUL Z18.D, Z7.D, Z6.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	3	0.50
FSQRT Z18.D, P0/M, Z18.D	1	0	0	0	0	0	0	1	0	0	0	0	0	7-16	1-0.50
ST1D {Z18.D}, P1, [X2, X22,LSL #3]	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	2	0.50
ADD X22, X22, X7	1	0	0	0.25	0.25	0.25	0.25	0	0	0	0	0	0	1	0.25
WHILELO P1.D, X22, X5	1	0	0	0	0	1	0	0	0	0	0	0	0	3	2
B.NE 426ae0 <__ideal_gas_kernel_module_MOD_ideal_gas_kernel._omp_fn.0+0x120>	1	0.50	0.50	0	0	0	0	0	0	0	0	0	0	1	0.50

Function	ideal_gas_kernel._omp_fn.0
Source file and lines	ideal_gas_kernel.f90:50-55
Module	exec

The loop is defined in /home/hbollore/qaas-runs/170-309-0949/intel/CloverLeafFC/build/CloverLeafFC/CloverLeaf_ref/kernels/ideal_gas_kernel.f90:50-55.

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

FMA

Detected 4 FMA (fused multiply-add) operations.

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

The binary loop is composed of 40 FP arithmetical operations:

4: addition or subtraction (all inside FMA instructions)
28: multiply (4 inside FMA instructions)
4: divide
4: square root

The binary loop is loading 96 bytes. The binary loop is storing 64 bytes.

Arithmetic intensity

Arithmetic intensity is 0.25 FP operations per loaded or stored byte.

General properties

nb instructions	17
loop length	68
nb stack references	0

Front-end

FIT IN UOP CACHE

front end

2.13 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	0.25	1.00	0.25	4.50	4.50	1.00	1.00	2.50	2.50	0.00	0.00	0.00
cycles	0.50	0.50	0.50	0.25	1.00	0.25	4.50	4.50	3.50	3.50	2.50	2.50	0.00	0.00	0.00

Execution ports to units layout:

P0:
P1:
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	2.00-1.00
Longest recurrence chain latency (RecMII)	1.00

Cycles summary

Front-end	2.13
Data deps.	1.00
Overall L1	4.50

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)

FP

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

INT+FP

all	100%
load	100%
store	100%
mul	100%
add-sub	NA (no add-sub vectorizable/vectorized instructions)
fma	100%
div/sqrt	100%
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 4.50 cycles. At this rate:

22% of peak load performance is reached (21.33 out of 96.00 bytes loaded per cycle (GB/s @ 1GHz))
29% of peak store performance is reached (14.22 out of 48.00 bytes stored per cycle (GB/s @ 1GHz))

ASM code

In the binary file, the address of the loop is: 426ae0

Instruction	Nb FU	P0	P1	P2	P3	P4	P5	P6	P7	P8	P9	P10	P11	Latency	Recip. throughput
LD1D {Z0.D}, P1/Z, [X4, X22,LSL #3]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50
LD1D {Z2.D}, P1/Z, [X6, X22,LSL #3]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50
FMUL Z1.D, Z0.D, Z4.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	3	0.50
FDIVR Z0.D, P0/M, Z0.D, Z5.D	1	0	0	0	0	0	0	1	0	0	0	0	0	7-15	1-0.50
FMUL Z6.D, Z1.D, Z2.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	3	0.50
FMUL Z7.D, Z0.D, Z0.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	3	0.50
ST1D {Z6.D}, P1, [X3, X22,LSL #3]	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	2	0.50
LD1D {Z3.D}, P1/Z, [X4, X22,LSL #3]	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	6	0.50
FMUL Z16.D, Z3.D, Z4.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	3	0.50
FMUL Z17.D, Z16.D, Z6.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	3	0.50
FMAD Z6.D, P0/M, Z3.D, Z17.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50
FMUL Z18.D, Z7.D, Z6.D	1	0	0	0	0	0	0	0.50	0.50	0	0	0	0	3	0.50
FSQRT Z18.D, P0/M, Z18.D	1	0	0	0	0	0	0	1	0	0	0	0	0	7-16	1-0.50
ST1D {Z18.D}, P1, [X2, X22,LSL #3]	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	2	0.50
ADD X22, X22, X7	1	0	0	0.25	0.25	0.25	0.25	0	0	0	0	0	0	1	0.25
WHILELO P1.D, X22, X5	1	0	0	0	0	1	0	0	0	0	0	0	0	3	2
B.NE 426ae0 <__ideal_gas_kernel_module_MOD_ideal_gas_kernel._omp_fn.0+0x120>	1	0.50	0.50	0	0	0	0	0	0	0	0	0	0	1	0.50

Report Configuration

Vectorization

Details

FMA

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

Arithmetic intensity

General properties

Front-end

Back-end

Cycles summary

Vectorization ratios

Cycles and memory resources usage

ASM code

Vectorization

Details

FMA

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

Arithmetic intensity

General properties

Front-end

Back-end

Cycles summary

Vectorization ratios

Cycles and memory resources usage

ASM code