OV - attention-clang-znver5-512 - Loop 104 - attention-clang-znver5-512

	Loop Id: 104	Module: attention-clang-znver5-512	Source: random.tcc:401-3367 [...]	Coverage: 0.06%

0x4610 MOV	%R13,%RDX

0x4613 INC	%R13

0x4616 MOV	$0x200b,%ESI

0x461b MOV	%R13,0x19b8(%RSP)

0x4623 MOV	0x638(%RSP,%RDX,8),%RDX

0x462b BEXTR	%RSI,%RDX,%RSI

0x4630 XOR	%RDX,%RSI

0x4633 MOV	%ESI,%EDX

0x4635 SAL	$0x7,%EDX

0x4638 AND	$-0x62d3a980,%EDX

0x463e XOR	%RSI,%RDX

0x4641 MOV	%EDX,%ESI

0x4643 SAL	$0xf,%ESI

0x4646 AND	$-0x103a0000,%ESI

0x464c XOR	%RDX,%RSI

0x464f MOV	%RSI,%RDX

0x4652 SHR	$0x12,%RDX

0x4656 XOR	%RSI,%RDX

0x4659 DEC	%RCX

0x465c VCVTUSI2SS	%RDX,%XMM15,%XMM2

0x4662 VFMADD231SS	%XMM2,%XMM1,%XMM0

0x4667 VMULSS	0x4999(%RIP),%XMM1,%XMM1

0x466f JE	4a90

0x4675 CMP	$0x270,%R13

0x467c JB	4610

0x467e VPBROADCASTQ	0x49b8(%RIP),%ZMM14

0x4688 VPBROADCASTQ	0x49b6(%RIP),%ZMM15

0x4692 VPBROADCASTQ	0x49b4(%RIP),%ZMM16

0x469c VPBROADCASTQ	0x49b2(%RIP),%ZMM17

0x46a6 VPBROADCASTQ	%RBX,%ZMM2

0x46ac XOR	%EDX,%EDX

0x46ae XCHG	%AX,%AX

  (105) 0x46b0 VMOVDQU64	0x640(%RSP,%RDX,8),%ZMM3

  (105) 0x46b8 VMOVDQU64	0x680(%RSP,%RDX,8),%ZMM4

  (105) 0x46c0 VMOVDQU64	0x6c0(%RSP,%RDX,8),%ZMM5

  (105) 0x46c8 VALIGNQ	$0x7,%ZMM2,%ZMM3,%ZMM6

  (105) 0x46cf VMOVDQU64	0x700(%RSP,%RDX,8),%ZMM2

  (105) 0x46d7 VALIGNQ	$0x7,%ZMM3,%ZMM4,%ZMM7

  (105) 0x46de VALIGNQ	$0x7,%ZMM4,%ZMM5,%ZMM8

  (105) 0x46e5 VPANDQ	%ZMM15,%ZMM3,%ZMM10

  (105) 0x46eb VPANDQ	%ZMM15,%ZMM4,%ZMM11

  (105) 0x46f1 VPANDQ	%ZMM15,%ZMM5,%ZMM12

  (105) 0x46f7 VPTESTMQ	%ZMM16,%ZMM3,%K1

  (105) 0x46fd VPTESTMQ	%ZMM16,%ZMM4,%K2

  (105) 0x4703 VPTESTMQ	%ZMM16,%ZMM5,%K3

  (105) 0x4709 VPTERNLOGQ	$-0x8,%ZMM14,%ZMM6,%ZMM10

  (105) 0x4710 VPTERNLOGQ	$-0x8,%ZMM14,%ZMM7,%ZMM11

  (105) 0x4717 VPTERNLOGQ	$-0x8,%ZMM14,%ZMM8,%ZMM12

  (105) 0x471e VPSRLQ	$0x1,%ZMM10,%ZMM6

  (105) 0x4725 VPSRLQ	$0x1,%ZMM11,%ZMM7

  (105) 0x472c VPSRLQ	$0x1,%ZMM12,%ZMM8

  (105) 0x4733 VPXORQ	0x12a0(%RSP,%RDX,8),%ZMM6,%ZMM6

  (105) 0x473e VPXORQ	0x12e0(%RSP,%RDX,8),%ZMM7,%ZMM7

  (105) 0x4749 VPXORQ	0x1320(%RSP,%RDX,8),%ZMM8,%ZMM8

  (105) 0x4754 VALIGNQ	$0x7,%ZMM5,%ZMM2,%ZMM9

  (105) 0x475b VPANDQ	%ZMM15,%ZMM2,%ZMM13

  (105) 0x4761 VPTESTMQ	%ZMM16,%ZMM2,%K4

  (105) 0x4767 VPTERNLOGQ	$-0x8,%ZMM14,%ZMM9,%ZMM13

  (105) 0x476e VPSRLQ	$0x1,%ZMM13,%ZMM9

  (105) 0x4775 VPXORQ	0x1360(%RSP,%RDX,8),%ZMM9,%ZMM9

  (105) 0x4780 VPXORQ	%ZMM17,%ZMM6,%ZMM6{%K1}

  (105) 0x4786 VPXORQ	%ZMM17,%ZMM7,%ZMM7{%K2}

  (105) 0x478c VPXORQ	%ZMM17,%ZMM8,%ZMM8{%K3}

  (105) 0x4792 VMOVDQU64	%ZMM6,0x638(%RSP,%RDX,8)

  (105) 0x479d VMOVDQU64	%ZMM7,0x678(%RSP,%RDX,8)

  (105) 0x47a8 VMOVDQU64	%ZMM8,0x6b8(%RSP,%RDX,8)

  (105) 0x47b3 VPXORQ	%ZMM17,%ZMM9,%ZMM9{%K4}

  (105) 0x47b9 VMOVDQU64	%ZMM9,0x6f8(%RSP,%RDX,8)

  (105) 0x47c4 ADD	$0x20,%RDX

  (105) 0x47c8 CMP	$0xe0,%RDX

  (105) 0x47cf JNE	46b0

0x47d5 MOV	0xd40(%RSP),%RSI

0x47dd VEXTRACTI32X4	$0x3,%ZMM2,%XMM2

0x47e4 MOV	0xd48(%RSP),%RDX

0x47ec VPBROADCASTQ	0x484b(%RIP),%XMM8

0x47f5 VPBROADCASTQ	0x484a(%RIP),%XMM9

0x47fe VPBROADCASTQ	0x4849(%RIP),%XMM10

0x4807 VPBROADCASTQ	0x4848(%RIP),%XMM11

0x4810 VPEXTRQ	$0x1,%XMM2,%RDI

0x4816 AND	$-0x80000000,%RDI

0x481d MOV	%ESI,%R8D

0x4820 AND	$0x7ffffffe,%R8D

0x4827 OR	%RDI,%R8

0x482a MOV	%ESI,%EDI

0x482c AND	$0x1,%EDI

0x482f AND	$-0x80000000,%RSI

0x4836 SHR	$0x1,%R8

0x4839 XOR	0x19a0(%RSP),%R8

0x4841 NEG	%EDI

0x4843 AND	%R12D,%EDI

0x4846 XOR	%R8,%RDI

0x4849 MOV	%RDI,0xd38(%RSP)

0x4851 MOV	%EDX,%EDI

0x4853 AND	$0x7ffffffe,%EDI

0x4859 OR	%RSI,%RDI

0x485c MOV	%EDX,%ESI

0x485e AND	$0x1,%ESI

0x4861 AND	$-0x80000000,%RDX

0x4868 SHR	$0x1,%RDI

0x486b XOR	0x19a8(%RSP),%RDI

0x4873 NEG	%ESI

0x4875 AND	%R12D,%ESI

0x4878 XOR	%RDI,%RSI

0x487b MOV	%RSI,0xd40(%RSP)

0x4883 MOV	0xd50(%RSP),%RSI

0x488b MOV	%ESI,%EDI

0x488d VPBROADCASTQ	%RSI,%XMM2

0x4893 AND	$0x7ffffffe,%ESI

0x4899 AND	$0x1,%EDI

0x489c OR	%RDX,%RSI

0x489f NEG	%EDI

0x48a1 MOV	$0xee,%EDX

0x48a6 SHR	$0x1,%RSI

0x48a9 XOR	0x19b0(%RSP),%RSI

0x48b1 AND	%R12D,%EDI

0x48b4 XOR	%RSI,%RDI

0x48b7 MOV	%RDI,0xd48(%RSP)

0x48bf NOP

  (106) 0x48c0 VMOVDQU	0x5e8(%RSP,%RDX,8),%XMM3

  (106) 0x48c9 VMOVDQU	0x5f8(%RSP,%RDX,8),%XMM4

  (106) 0x48d2 VMOVDQU	0x608(%RSP,%RDX,8),%XMM5

  (106) 0x48db VMOVDQU	0x618(%RSP,%RDX,8),%XMM6

  (106) 0x48e4 VPALIGNR	$0x8,%XMM2,%XMM3,%XMM2

  (106) 0x48ea VPAND	%XMM3,%XMM9,%XMM7

  (106) 0x48ee VPTESTMQ	%XMM10,%XMM3,%K1

  (106) 0x48f4 VPTERNLOGQ	$-0x8,%XMM8,%XMM2,%XMM7

  (106) 0x48fb VPSRLQ	$0x1,%XMM7,%XMM2

  (106) 0x4900 VPXOR	-0x138(%RSP,%RDX,8),%XMM2,%XMM2

  (106) 0x4909 VPXORQ	%XMM11,%XMM2,%XMM2{%K1}

  (106) 0x490f VPTESTMQ	%XMM10,%XMM4,%K1

  (106) 0x4915 VMOVDQU	%XMM2,0x5e0(%RSP,%RDX,8)

  (106) 0x491e VPALIGNR	$0x8,%XMM3,%XMM4,%XMM2

  (106) 0x4924 VPAND	%XMM4,%XMM9,%XMM3

  (106) 0x4928 VPTERNLOGQ	$-0x8,%XMM8,%XMM2,%XMM3

  (106) 0x492f VPSRLQ	$0x1,%XMM3,%XMM2

  (106) 0x4934 VPXOR	-0x128(%RSP,%RDX,8),%XMM2,%XMM2

  (106) 0x493d VPAND	%XMM5,%XMM9,%XMM3

  (106) 0x4941 VPXORQ	%XMM11,%XMM2,%XMM2{%K1}

  (106) 0x4947 VPTESTMQ	%XMM10,%XMM5,%K1

  (106) 0x494d VMOVDQU	%XMM2,0x5f0(%RSP,%RDX,8)

  (106) 0x4956 VPALIGNR	$0x8,%XMM4,%XMM5,%XMM2

  (106) 0x495c VPTERNLOGQ	$-0x8,%XMM8,%XMM2,%XMM3

  (106) 0x4963 VPSRLQ	$0x1,%XMM3,%XMM2

  (106) 0x4968 VPXOR	-0x118(%RSP,%RDX,8),%XMM2,%XMM2

  (106) 0x4971 VPAND	%XMM6,%XMM9,%XMM3

  (106) 0x4975 VPXORQ	%XMM11,%XMM2,%XMM2{%K1}

  (106) 0x497b VPTESTMQ	%XMM10,%XMM6,%K1

  (106) 0x4981 VMOVDQU	%XMM2,0x600(%RSP,%RDX,8)

  (106) 0x498a VPALIGNR	$0x8,%XMM5,%XMM6,%XMM2

  (106) 0x4990 VPTERNLOGQ	$-0x8,%XMM8,%XMM2,%XMM3

  (106) 0x4997 VPSRLQ	$0x1,%XMM3,%XMM2

  (106) 0x499c VPXOR	-0x108(%RSP,%RDX,8),%XMM2,%XMM2

  (106) 0x49a5 VPXORQ	%XMM11,%XMM2,%XMM2{%K1}

  (106) 0x49ab VMOVDQU	%XMM2,0x610(%RSP,%RDX,8)

  (106) 0x49b4 VMOVDQU	0x628(%RSP,%RDX,8),%XMM3

  (106) 0x49bd VPALIGNR	$0x8,%XMM6,%XMM3,%XMM2

  (106) 0x49c3 VPAND	%XMM3,%XMM9,%XMM4

  (106) 0x49c7 VPTESTMQ	%XMM10,%XMM3,%K1

  (106) 0x49cd VPTERNLOGQ	$-0x8,%XMM8,%XMM2,%XMM4

  (106) 0x49d4 VPSRLQ	$0x1,%XMM4,%XMM2

  (106) 0x49d9 VPXOR	-0xf8(%RSP,%RDX,8),%XMM2,%XMM2

  (106) 0x49e2 VPXORQ	%XMM11,%XMM2,%XMM2{%K1}

  (106) 0x49e8 VMOVDQU	%XMM2,0x620(%RSP,%RDX,8)

  (106) 0x49f1 VMOVDQU	0x638(%RSP,%RDX,8),%XMM2

  (106) 0x49fa VPALIGNR	$0x8,%XMM3,%XMM2,%XMM3

  (106) 0x4a00 VPAND	%XMM2,%XMM9,%XMM4

  (106) 0x4a04 VPTESTMQ	%XMM10,%XMM2,%K1

  (106) 0x4a0a VPTERNLOGQ	$-0x8,%XMM8,%XMM3,%XMM4

  (106) 0x4a11 VPSRLQ	$0x1,%XMM4,%XMM3

  (106) 0x4a16 VPXOR	-0xe8(%RSP,%RDX,8),%XMM3,%XMM3

  (106) 0x4a1f VPXORQ	%XMM11,%XMM3,%XMM3{%K1}

  (106) 0x4a25 VMOVDQU	%XMM3,0x630(%RSP,%RDX,8)

  (106) 0x4a2e ADD	$0xc,%RDX

  (106) 0x4a32 CMP	$0x27a,%RDX

  (106) 0x4a39 JNE	48c0

0x4a3f MOV	0x19b0(%RSP),%RDX

0x4a47 MOV	0x638(%RSP),%RBX

0x4a4f XOR	%R13D,%R13D

0x4a52 MOV	%EBX,%ESI

0x4a54 AND	%R14,%RDX

0x4a57 AND	$0x7ffffffe,%ESI

0x4a5d OR	%RDX,%RSI

0x4a60 MOV	%EBX,%EDX

0x4a62 AND	$0x1,%EDX

0x4a65 SHR	$0x1,%RSI

0x4a68 XOR	0x1298(%RSP),%RSI

0x4a70 NEG	%EDX

0x4a72 AND	%R12D,%EDX

0x4a75 XOR	%RSI,%RDX

0x4a78 MOV	%RDX,0x19b0(%RSP)

0x4a80 JMP	4610

/usr/lib/gcc/x86_64-redhat-linux/11/../../../../include/c++/11/bits/random.tcc: 401 - 3367

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

401:       for (size_t __k = 0; __k < (__n - __m); ++__k)

402:         {

403: 	  _UIntType __y = ((_M_x[__k] & __upper_mask)

404: 			   | (_M_x[__k + 1] & __lower_mask));

405: 	  _M_x[__k] = (_M_x[__k + __m] ^ (__y >> 1)

406: 		       ^ ((__y & 0x01) ? __a : 0));

407:         }

408:

409:       for (size_t __k = (__n - __m); __k < (__n - 1); ++__k)

410: 	{

411: 	  _UIntType __y = ((_M_x[__k] & __upper_mask)

412: 			   | (_M_x[__k + 1] & __lower_mask));

413: 	  _M_x[__k] = (_M_x[__k + (__m - __n)] ^ (__y >> 1)

414: 		       ^ ((__y & 0x01) ? __a : 0));

415: 	}

416:

417:       _UIntType __y = ((_M_x[__n - 1] & __upper_mask)

418: 		       | (_M_x[0] & __lower_mask));

419:       _M_x[__n - 1] = (_M_x[__m - 1] ^ (__y >> 1)

420: 		       ^ ((__y & 0x01) ? __a : 0));

[...]

455:       if (_M_p >= state_size)

456: 	_M_gen_rand();

457:

458:       // Calculate o(x(i)).

459:       result_type __z = _M_x[_M_p++];

460:       __z ^= (__z >> __u) & __d;

461:       __z ^= (__z << __s) & __b;

462:       __z ^= (__z << __t) & __c;

463:       __z ^= (__z >> __l);

[...]

3364:       for (size_t __k = __m; __k != 0; --__k)

3365: 	{

3366: 	  __sum += _RealType(__urng() - __urng.min()) * __tmp;

3367: 	  __tmp *= __r;

Coverage (%)	Name	Source Location	Module

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	1.93
CQA speedup if FP arith vectorized	2.01
CQA speedup if fully vectorized	12.02
CQA speedup if no inter-iteration dependency	NA
CQA speedup if next bottleneck killed	1.35
Bottlenecks
Function	main
Source	random.tcc:401-406,random.tcc:409-409,random.tcc:413-413,random.tcc:417-420,random.tcc:455-455,random.tcc:459-463,random.tcc:3364-3367
Source loop unroll info	NA
Source loop unroll confidence level	NA
Unroll/vectorization loop type	NA
Unroll factor	NA
CQA cycles	8.19
CQA cycles if no scalar integer	4.25
CQA cycles if FP arith vectorized	4.07
CQA cycles if fully vectorized	0.68
Front-end cycles	7.75
P0 cycles	5.75
P1 cycles	5.75
P2 cycles	5.75
P3 cycles	5.75
P4 cycles	5.75
P5 cycles	5.75
P6 cycles	3.38
P7 cycles	3.38
P8 cycles	3.38
P9 cycles	3.38
P10 cycles	2.13
P11 cycles	2.75
P12 cycles	2.25
P13 cycles	1.88
P14 cycles	0.25
P15 cycles	0.25
DIV/SQRT cycles	0.00
Inter-iter dependencies cycles	4
FE+BE cycles (UFS)	NA
Stall cycles (UFS)	NA
Nb insns	60.00
Nb uops	62.00
Nb loads	10.50
Nb stores	3.00
Nb stack references	5.50
FLOP/cycle	0.37
Nb FLOP add-sub	0.00
Nb FLOP mul	1.00
Nb FLOP fma	1.00
Nb FLOP div	0.00
Nb FLOP rcp	0.00
Nb FLOP sqrt	0.00
Nb FLOP rsqrt	0.00
Bytes/cycle	10.10
Bytes prefetched	0.00
Bytes loaded	80.00
Bytes stored	24.00
Stride 0	0.00
Stride 1	0.00
Stride n	0.00
Stride unknown	2.00
Stride indirect	0.00
Vectorization ratio all	0.76
Vectorization ratio load	0.00
Vectorization ratio store	0.00
Vectorization ratio mul	0.00
Vectorization ratio add_sub	0.00
Vectorization ratio fma	0.00
Vectorization ratio div_sqrt	NA
Vectorization ratio other	0.91
Vector-efficiency ratio all	9.71
Vector-efficiency ratio load	9.18
Vector-efficiency ratio store	12.50
Vector-efficiency ratio mul	6.25
Vector-efficiency ratio add_sub	12.50
Vector-efficiency ratio fma	6.25
Vector-efficiency ratio div_sqrt	NA
Vector-efficiency ratio other	9.52

Metric	Value
CQA speedup if no scalar integer	2.75
CQA speedup if FP arith vectorized	1.75
CQA speedup if fully vectorized	11.43
CQA speedup if no inter-iteration dependency	NA
CQA speedup if next bottleneck killed	1.38
Bottlenecks	micro-operation queue,
Function	main
Source	random.tcc:401-406,random.tcc:409-409,random.tcc:413-413,random.tcc:417-420,random.tcc:455-455,random.tcc:459-463,random.tcc:3364-3367
Source loop unroll info	NA
Source loop unroll confidence level	NA
Unroll/vectorization loop type	NA
Unroll factor	NA
CQA cycles	12.38
CQA cycles if no scalar integer	4.50
CQA cycles if FP arith vectorized	7.06
CQA cycles if fully vectorized	1.08
Front-end cycles	12.38
P0 cycles	9.00
P1 cycles	9.00
P2 cycles	9.00
P3 cycles	9.00
P4 cycles	9.00
P5 cycles	9.00
P6 cycles	6.00
P7 cycles	6.00
P8 cycles	6.00
P9 cycles	6.00
P10 cycles	3.25
P11 cycles	4.50
P12 cycles	4.00
P13 cycles	3.25
P14 cycles	0.50
P15 cycles	0.50
DIV/SQRT cycles	0.00
Inter-iter dependencies cycles	4
FE+BE cycles (UFS)	NA
Stall cycles (UFS)	NA
Nb insns	95.00
Nb uops	99.00
Nb loads	19.00
Nb stores	5.00
Nb stack references	10.00
FLOP/cycle	0.24
Nb FLOP add-sub	0.00
Nb FLOP mul	1.00
Nb FLOP fma	1.00
Nb FLOP div	0.00
Nb FLOP rcp	0.00
Nb FLOP sqrt	0.00
Nb FLOP rsqrt	0.00
Bytes/cycle	15.19
Bytes prefetched	0.00
Bytes loaded	148.00
Bytes stored	40.00
Stride 0	0.00
Stride 1	0.00
Stride n	0.00
Stride unknown	2.00
Stride indirect	0.00
Vectorization ratio all	1.52
Vectorization ratio load	0.00
Vectorization ratio store	0.00
Vectorization ratio mul	0.00
Vectorization ratio add_sub	0.00
Vectorization ratio fma	0.00
Vectorization ratio div_sqrt	NA
Vectorization ratio other	1.82
Vector-efficiency ratio all	10.32
Vector-efficiency ratio load	12.11
Vector-efficiency ratio store	12.50
Vector-efficiency ratio mul	6.25
Vector-efficiency ratio add_sub	12.50
Vector-efficiency ratio fma	6.25
Vector-efficiency ratio div_sqrt	NA
Vector-efficiency ratio other	10.11

Metric	Value
CQA speedup if no scalar integer	1.00
CQA speedup if FP arith vectorized	3.72
CQA speedup if fully vectorized	14.29
CQA speedup if no inter-iteration dependency	NA
CQA speedup if next bottleneck killed	1.28
Bottlenecks
Function	main
Source	random.tcc:401-406,random.tcc:409-409,random.tcc:413-413,random.tcc:417-420,random.tcc:455-455,random.tcc:459-463,random.tcc:3364-3367
Source loop unroll info	NA
Source loop unroll confidence level	NA
Unroll/vectorization loop type	NA
Unroll factor	NA
CQA cycles	4.00
CQA cycles if no scalar integer	4.00
CQA cycles if FP arith vectorized	1.07
CQA cycles if fully vectorized	0.28
Front-end cycles	3.13
P0 cycles	2.50
P1 cycles	2.50
P2 cycles	2.50
P3 cycles	2.50
P4 cycles	2.50
P5 cycles	2.50
P6 cycles	0.75
P7 cycles	0.75
P8 cycles	0.75
P9 cycles	0.75
P10 cycles	1.00
P11 cycles	1.00
P12 cycles	0.50
P13 cycles	0.50
P14 cycles	0.00
P15 cycles	0.00
DIV/SQRT cycles	0.00
Inter-iter dependencies cycles	4
FE+BE cycles (UFS)	NA
Stall cycles (UFS)	NA
Nb insns	25.00
Nb uops	25.00
Nb loads	2.00
Nb stores	1.00
Nb stack references	1.00
FLOP/cycle	0.75
Nb FLOP add-sub	0.00
Nb FLOP mul	1.00
Nb FLOP fma	1.00
Nb FLOP div	0.00
Nb FLOP rcp	0.00
Nb FLOP sqrt	0.00
Nb FLOP rsqrt	0.00
Bytes/cycle	5.00
Bytes prefetched	0.00
Bytes loaded	12.00
Bytes stored	8.00
Stride 0	NA
Stride 1	NA
Stride n	NA
Stride unknown	NA
Stride indirect	NA
Vectorization ratio all	0.00
Vectorization ratio load	0.00
Vectorization ratio store	0.00
Vectorization ratio mul	0.00
Vectorization ratio add_sub	0.00
Vectorization ratio fma	0.00
Vectorization ratio div_sqrt	NA
Vectorization ratio other	0.00
Vector-efficiency ratio all	9.09
Vector-efficiency ratio load	6.25
Vector-efficiency ratio store	12.50
Vector-efficiency ratio mul	6.25
Vector-efficiency ratio add_sub	12.50
Vector-efficiency ratio fma	6.25
Vector-efficiency ratio div_sqrt	NA
Vector-efficiency ratio other	8.93

Path /

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

Function	main
Source file and lines	random.tcc:401-3367
Module	attention-clang-znver5-512

The loop is defined in /usr/lib/gcc/x86_64-redhat-linux/11/../../../../include/c++/11/bits/random.tcc:401-420,455-463,3364-3367.

Analyzed code is defined in /usr/lib/gcc/x86_64-redhat-linux/11/../../../../include/c++/11/bits/random.tcc:401-406,409,413,417-420,455,459-463,3364-3367.

Warnings:
Non-innermost loop: analyzing only self part (ignoring child loops).
The structure of this loop is probably <if then [else] end>.

The presence of multiple execution paths is typically the main/first bottleneck.
Try to simplify control inside loop: ideally, try to remove all conditional expressions, for example by (if applicable):

hoisting them (moving them outside the loop)
turning them into conditional moves, MIN or MAX

Ex: if (x<0) x=0 => x = (x<0 ? 0 : x) (or MAX(0,x) after defining the corresponding macro)

gain
potential
hint
expert

Vectorization

Your loop is probably not vectorized. Only 9% of vector register length is used (average across all SSE/AVX instructions). By vectorizing your loop, you can lower the cost of an iteration from 8.19 to 0.68 cycles (12.02x speedup).

Details

Store and arithmetical 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 ffast-math (included in Ofast) 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)

FMA

Detected 1 FMA (fused multiply-add) operations.

Complex instructions

Detected COMPLEX INSTRUCTIONS.

Details

These instructions generate more than one micro-operation and only one of them can be decoded during a cycle and the extra micro-operations increase pressure on execution units.

VCVTUSI2SS: 0 occurrences
VPBROADCASTQ: 0 occurrences
VPEXTRQ: 0 occurrences

Slow data structures access

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

Details

Constant unknown 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)

Conversion instructions

Detected expensive conversion instructions.

Details

VCVTUSI2SS (INT32/64 to FP32, scalar): 0 occurrences

Workaround

Avoid mixing data with different types. In particular, check if the type of constants is the same as array elements.

Type of elements and instruction set

2 SSE or AVX instructions are processing arithmetic or math operations on single 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 3 FP arithmetical operations:

1: addition or subtraction (all inside FMA instructions)
2: multiply (1 inside FMA instructions)

The binary loop is loading 80 bytes (20 single precision FP elements). The binary loop is storing 24 bytes (6 single precision FP elements).

Arithmetic intensity

Arithmetic intensity is 0.03 FP operations per loaded or stored byte.

General properties

nb instructions	60
nb uops	62
loop length	287.50
used x86 registers	8
used mmx registers	0
used xmm registers	6
used ymm registers	0
used zmm registers	2.50
nb stack references	5.50

Front-end

MACRO FUSION NOT POSSIBLE

micro-operation queue	7.75 cycles
front end	7.75 cycles

Back-end

	P0	P1	P2	P3	P4	P5	P6	P7	P8	P9	P10	P11	P12	P13	P14	P15
uops	5.75	5.75	5.75	5.75	5.75	5.75	3.38	3.38	3.38	3.38	2.13	2.75	2.25	1.88	0.25	0.25
cycles	5.75	5.75	5.75	5.75	5.75	5.75	3.38	3.38	3.38	3.38	2.13	2.75	2.25	1.88	0.25	0.25

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)	4.00

Cycles summary

Front-end	7.75
Dispatch	5.75
Data deps.	4.00
Overall L1	8.19

Vectorization ratios

INT

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

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	NA (no div/sqrt vectorizable/vectorized instructions)
other	NA (no other vectorizable/vectorized instructions)

INT+FP

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

Vector efficiency ratios

INT

all	10%
load	12%
store	12%
mul	NA (no mul vectorizable/vectorized instructions)
add-sub	12%
fma	NA (no fma vectorizable/vectorized instructions)
other	9%

all	6%
load	6%
store	NA (no store vectorizable/vectorized instructions)
mul	6%
add-sub	NA (no add-sub vectorizable/vectorized instructions)
fma	6%
div/sqrt	NA (no div/sqrt vectorizable/vectorized instructions)
other	NA (no other vectorizable/vectorized instructions)

INT+FP

all	9%
load	9%
store	12%
mul	6%
add-sub	12%
fma	6%
div/sqrt	NA (no div/sqrt vectorizable/vectorized instructions)
other	9%

Cycles and memory resources usage

Assuming all data fit into the L1 cache, each iteration of the binary loop takes 8.19 cycles. At this rate:

2% of peak load performance is reached (7.48 out of 256.00 bytes loaded per cycle (GB/s @ 1GHz))
2% of peak store performance is reached (2.62 out of 128.00 bytes stored per cycle (GB/s @ 1GHz))

Function	main
Source file and lines	random.tcc:401-3367
Module	attention-clang-znver5-512

hoisting them (moving them outside the loop)
turning them into conditional moves, MIN or MAX

Ex: if (x<0) x=0 => x = (x<0 ? 0 : x) (or MAX(0,x) after defining the corresponding macro)

gain
potential
hint
expert

Code clean check

Detected a slowdown caused by scalar integer instructions (typically used for address computation). By removing them, you can lower the cost of an iteration from 12.38 to 4.50 cycles (2.75x speedup).

Workaround

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

Vectorization

Your loop is probably not vectorized. Only 10% of vector register length is used (average across all SSE/AVX instructions). By vectorizing your loop, you can lower the cost of an iteration from 12.38 to 1.08 cycles (11.43x speedup).

Details

Workaround

Try another compiler or update/tune your current one:
- recompile with ffast-math (included in Ofast) 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

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

FMA

Detected 1 FMA (fused multiply-add) operations.

Complex instructions

Detected COMPLEX INSTRUCTIONS.

Details

These instructions generate more than one micro-operation and only one of them can be decoded during a cycle and the extra micro-operations increase pressure on execution units.

VCVTUSI2SS: 1 occurrences►
- /usr/lib/gcc/x86_64-redhat-linux/11/../../../../include/c++/11/bits/random.tcc:3366
VPBROADCASTQ: 2 occurrences►
- /usr/lib/gcc/x86_64-redhat-linux/11/../../../../include/c++/11/bits/random.tcc:401
- /usr/lib/gcc/x86_64-redhat-linux/11/../../../../include/c++/11/bits/random.tcc:409
VPEXTRQ: 1 occurrences►
- /usr/lib/gcc/x86_64-redhat-linux/11/../../../../include/c++/11/bits/random.tcc:404

Slow data structures access

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

Details

Constant unknown 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)

Conversion instructions

Detected expensive conversion instructions.

Details

VCVTUSI2SS (INT32/64 to FP32, scalar): 1 occurrences►
- /usr/lib/gcc/x86_64-redhat-linux/11/../../../../include/c++/11/bits/random.tcc:3366

Workaround

Avoid mixing data with different types. In particular, check if the type of constants is the same as array elements.

Type of elements and instruction set

2 SSE or AVX instructions are processing arithmetic or math operations on single 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 3 FP arithmetical operations:

1: addition or subtraction (all inside FMA instructions)
2: multiply (1 inside FMA instructions)

The binary loop is loading 148 bytes (37 single precision FP elements). The binary loop is storing 40 bytes (10 single precision FP elements).

Arithmetic intensity

Arithmetic intensity is 0.02 FP operations per loaded or stored byte.

General properties

nb instructions	95
nb uops	99
loop length	465
used x86 registers	11
used mmx registers	0
used xmm registers	8
used ymm registers	0
used zmm registers	5
nb stack references	10

Front-end

MACRO FUSION NOT POSSIBLE FIT IN UOP CACHE

micro-operation queue	12.38 cycles
front end	12.38 cycles

Back-end

	P0	P1	P2	P3	P4	P5	P6	P7	P8	P9	P10	P11	P12	P13	P14	P15
uops	9.00	9.00	9.00	9.00	9.00	9.00	6.00	6.00	6.00	6.00	3.25	4.50	4.00	3.25	0.50	0.50
cycles	9.00	9.00	9.00	9.00	9.00	9.00	6.00	6.00	6.00	6.00	3.25	4.50	4.00	3.25	0.50	0.50

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)	4.00

Cycles summary

Front-end	12.38
Dispatch	9.00
Data deps.	4.00
Overall L1	12.38

Vectorization ratios

INT

all	1%
load	0%
store	0%
mul	NA (no mul vectorizable/vectorized instructions)
add-sub	0%
fma	NA (no fma vectorizable/vectorized instructions)
other	1%

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	NA (no div/sqrt vectorizable/vectorized instructions)
other	NA (no other vectorizable/vectorized instructions)

INT+FP

all	1%
load	0%
store	0%
mul	0%
add-sub	0%
fma	0%
div/sqrt	NA (no div/sqrt vectorizable/vectorized instructions)
other	1%

Vector efficiency ratios

INT

all	10%
load	12%
store	12%
mul	NA (no mul vectorizable/vectorized instructions)
add-sub	12%
fma	NA (no fma vectorizable/vectorized instructions)
other	10%

all	6%
load	6%
store	NA (no store vectorizable/vectorized instructions)
mul	6%
add-sub	NA (no add-sub vectorizable/vectorized instructions)
fma	6%
div/sqrt	NA (no div/sqrt vectorizable/vectorized instructions)
other	NA (no other vectorizable/vectorized instructions)

INT+FP

all	10%
load	12%
store	12%
mul	6%
add-sub	12%
fma	6%
div/sqrt	NA (no div/sqrt vectorizable/vectorized instructions)
other	10%

Cycles and memory resources usage

Assuming all data fit into the L1 cache, each iteration of the binary loop takes 12.38 cycles. At this rate:

4% of peak load performance is reached (11.96 out of 256.00 bytes loaded per cycle (GB/s @ 1GHz))
2% of peak store performance is reached (3.23 out of 128.00 bytes stored per cycle (GB/s @ 1GHz))

Front-end bottlenecks

Performance is limited by instruction throughput (loading/decoding program instructions to execution core) (front-end is a bottleneck). By removing all these bottlenecks, you can lower the cost of an iteration from 12.38 to 9.00 cycles (1.37x speedup).

ASM code

In the binary file, the address of the loop is: 4675

Instruction	Nb FU	P0	P1	P2	P3	P4	P5	P6	P7	P8	P9	P10	P11	P12	P13	P14	P15	Latency	Recip. throughput	Vectorization
MOV %R13,%RDX	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0.13	N/A
INC %R13	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	0	0	0	1	0.17	N/A
MOV $0x200b,%ESI	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	0	0	0	1	0.17	scal (6.3%)
MOV %R13,0x19b8(%RSP)	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	0	0	0	4	0.50	scal (12.5%)
MOV 0x638(%RSP,%RDX,8),%RDX	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	0	0	0	3	0.25	N/A
BEXTR %RSI,%RDX,%RSI	1	0	0	0	0.33	0.33	0.33	0	0	0	0	0	0	0	0	0	0	1	0.33	N/A
XOR %RDX,%RSI	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	0	0	0	1	0.17	scal (12.5%)
MOV %ESI,%EDX	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0.13	N/A
SAL $0x7,%EDX	1	0	0	0	0.33	0.33	0.33	0	0	0	0	0	0	0	0	0	0	1	0.33	N/A
AND $-0x62d3a980,%EDX	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	0	0	0	1	0.17	N/A
XOR %RSI,%RDX	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	0	0	0	1	0.17	N/A
MOV %EDX,%ESI	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0.13	scal (6.3%)
SAL $0xf,%ESI	1	0	0	0	0.33	0.33	0.33	0	0	0	0	0	0	0	0	0	0	1	0.33	scal (6.3%)
AND $-0x103a0000,%ESI	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	0	0	0	1	0.17	scal (6.3%)
XOR %RDX,%RSI	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	0	0	0	1	0.17	scal (12.5%)
MOV %RSI,%RDX	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0.13	N/A
SHR $0x12,%RDX	1	0	0	0	0.33	0.33	0.33	0	0	0	0	0	0	0	0	0	0	1	0.33	N/A
XOR %RSI,%RDX	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	0	0	0	1	0.17	N/A
DEC %RCX	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	0	0	0	1	0.17	scal (12.5%)
VCVTUSI2SS %RDX,%XMM15,%XMM2	2	0	0	0	0	0	0	0	0	0	0	0	0	0.50	0.50	0	0	3-9	1	scal (12.5%)
VFMADD231SS %XMM2,%XMM1,%XMM0	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	0	0	0	0	4	0.50	scal (6.3%)
VMULSS 0x4999(%RIP),%XMM1,%XMM1	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	0	0	0	0	3	0.50	scal (6.3%)
JE 4a90 <main+0x10e0>	1	0	0	0	0.33	0.33	0.33	0	0	0	0	0	0	0	0	0	0	0	0.33-0.50	N/A
CMP $0x270,%R13	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	0	0	0	1	0.17	N/A
JB 4610 <main+0xc60>	1	0	0	0	0.33	0.33	0.33	0	0	0	0	0	0	0	0	0	0	0	0.33-0.50	N/A
VPBROADCASTQ 0x49b8(%RIP),%ZMM14	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0.50	0.50	0	0	0	2	0.50	scal (12.5%)
VPBROADCASTQ 0x49b6(%RIP),%ZMM15	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0.50	0.50	0	0	0	2	0.50	scal (12.5%)
VPBROADCASTQ 0x49b4(%RIP),%ZMM16	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0.50	0.50	0	0	0	2	0.50	scal (12.5%)
VPBROADCASTQ 0x49b2(%RIP),%ZMM17	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0.50	0.50	0	0	0	2	0.50	scal (12.5%)
VPBROADCASTQ %RBX,%ZMM2	2	0	0	0	0	0	0	0	0	0	0	0	0.50	0.50	0	0	0	2	1	scal (12.5%)
XOR %EDX,%EDX	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0.17	N/A
XCHG %AX,%AX	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0.13	N/A
MOV 0xd40(%RSP),%RSI	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	0	0	0	3	0.25	scal (12.5%)
VEXTRACTI32X4 $0x3,%ZMM2,%XMM2	1	0	0	0	0	0	0	0	0	0	0	0	0.50	0.50	0	0	0	5	0.50	vect (25.0%)
MOV 0xd48(%RSP),%RDX	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	0	0	0	3	0.25	N/A
VPBROADCASTQ 0x484b(%RIP),%XMM8	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.25	0.25	0.25	0.25	0	0	2	0.50	scal (12.5%)
VPBROADCASTQ 0x484a(%RIP),%XMM9	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.25	0.25	0.25	0.25	0	0	2	0.50	scal (12.5%)
VPBROADCASTQ 0x4849(%RIP),%XMM10	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.25	0.25	0.25	0.25	0	0	2	0.50	scal (12.5%)
VPBROADCASTQ 0x4848(%RIP),%XMM11	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.25	0.25	0.25	0.25	0	0	2	0.50	scal (12.5%)
VPEXTRQ $0x1,%XMM2,%RDI	2	0	0	0	0	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	7	0.50	scal (12.5%)
AND $-0x80000000,%RDI	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	0	0	0	1	0.17	scal (12.5%)
MOV %ESI,%R8D	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0.13	scal (6.3%)
AND $0x7ffffffe,%R8D	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	0	0	0	1	0.17	scal (6.3%)
OR %RDI,%R8	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	0	0	0	1	0.17	scal (12.5%)
MOV %ESI,%EDI	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0.13	scal (6.3%)
AND $0x1,%EDI	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	0	0	0	1	0.17	scal (6.3%)
AND $-0x80000000,%RSI	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	0	0	0	1	0.17	scal (12.5%)
SHR $0x1,%R8	1	0	0	0	0.33	0.33	0.33	0	0	0	0	0	0	0	0	0	0	1	0.33	scal (12.5%)
XOR 0x19a0(%RSP),%R8	1	0.17	0.17	0.17	0.17	0.17	0.17	0.25	0.25	0.25	0.25	0	0	0	0	0	0	1	0.25	scal (12.5%)
NEG %EDI	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	0	0	0	1	0.17	scal (6.3%)
AND %R12D,%EDI	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	0	0	0	1	0.17	scal (6.3%)
XOR %R8,%RDI	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	0	0	0	1	0.17	scal (12.5%)
MOV %RDI,0xd38(%RSP)	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	0	0	0	4	0.50	scal (12.5%)
MOV %EDX,%EDI	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0.13	scal (6.3%)
AND $0x7ffffffe,%EDI	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	0	0	0	1	0.17	scal (6.3%)
OR %RSI,%RDI	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	0	0	0	1	0.17	scal (12.5%)
MOV %EDX,%ESI	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0.13	scal (6.3%)
AND $0x1,%ESI	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	0	0	0	1	0.17	scal (6.3%)
AND $-0x80000000,%RDX	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	0	0	0	1	0.17	N/A
SHR $0x1,%RDI	1	0	0	0	0.33	0.33	0.33	0	0	0	0	0	0	0	0	0	0	1	0.33	scal (12.5%)
XOR 0x19a8(%RSP),%RDI	1	0.17	0.17	0.17	0.17	0.17	0.17	0.25	0.25	0.25	0.25	0	0	0	0	0	0	1	0.25	scal (12.5%)
NEG %ESI	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	0	0	0	1	0.17	scal (6.3%)
AND %R12D,%ESI	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	0	0	0	1	0.17	scal (6.3%)
XOR %RDI,%RSI	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	0	0	0	1	0.17	scal (12.5%)
MOV %RSI,0xd40(%RSP)	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	0	0	0	4	0.50	scal (12.5%)
MOV 0xd50(%RSP),%RSI	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	0	0	0	3	0.25	scal (12.5%)
MOV %ESI,%EDI	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0.13	scal (6.3%)
VPBROADCASTQ %RSI,%XMM2	2	0	0	0	0	0	0	0	0	0	0	0	0.50	0.50	0	0	0	2	1	scal (12.5%)
AND $0x7ffffffe,%ESI	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	0	0	0	1	0.17	scal (6.3%)
AND $0x1,%EDI	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	0	0	0	1	0.17	scal (6.3%)
OR %RDX,%RSI	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	0	0	0	1	0.17	scal (12.5%)
NEG %EDI	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	0	0	0	1	0.17	scal (6.3%)
MOV $0xee,%EDX	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	0	0	0	1	0.17	N/A
SHR $0x1,%RSI	1	0	0	0	0.33	0.33	0.33	0	0	0	0	0	0	0	0	0	0	1	0.33	scal (12.5%)
XOR 0x19b0(%RSP),%RSI	1	0.17	0.17	0.17	0.17	0.17	0.17	0.25	0.25	0.25	0.25	0	0	0	0	0	0	1	0.25	scal (12.5%)
AND %R12D,%EDI	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	0	0	0	1	0.17	scal (6.3%)
XOR %RSI,%RDI	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	0	0	0	1	0.17	scal (12.5%)
MOV %RDI,0xd48(%RSP)	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	0	0	0	4	0.50	scal (12.5%)
NOP	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0.13	N/A
MOV 0x19b0(%RSP),%RDX	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	0	0	0	3	0.25	N/A
MOV 0x638(%RSP),%RBX	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	0	0	0	3	0.25	scal (12.5%)
XOR %R13D,%R13D	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0.17	N/A
MOV %EBX,%ESI	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0.13	scal (6.3%)
AND %R14,%RDX	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	0	0	0	1	0.17	N/A
AND $0x7ffffffe,%ESI	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	0	0	0	1	0.17	scal (6.3%)
OR %RDX,%RSI	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	0	0	0	1	0.17	scal (12.5%)
MOV %EBX,%EDX	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0.13	N/A
AND $0x1,%EDX	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	0	0	0	1	0.17	N/A
SHR $0x1,%RSI	1	0	0	0	0.33	0.33	0.33	0	0	0	0	0	0	0	0	0	0	1	0.33	scal (12.5%)
XOR 0x1298(%RSP),%RSI	1	0.17	0.17	0.17	0.17	0.17	0.17	0.25	0.25	0.25	0.25	0	0	0	0	0	0	1	0.25	scal (12.5%)
NEG %EDX	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	0	0	0	1	0.17	N/A
AND %R12D,%EDX	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	0	0	0	1	0.17	N/A
XOR %RSI,%RDX	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	0	0	0	1	0.17	N/A
MOV %RDX,0x19b0(%RSP)	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	0	0	0	4	0.50	scal (12.5%)
JMP 4610 <main+0xc60>	1	0	0	0	0.33	0.33	0.33	0	0	0	0	0	0	0	0	0	0	0	0.50	N/A

Function	main
Source file and lines	random.tcc:401-3367
Module	attention-clang-znver5-512

hoisting them (moving them outside the loop)
turning them into conditional moves, MIN or MAX

Ex: if (x<0) x=0 => x = (x<0 ? 0 : x) (or MAX(0,x) after defining the corresponding macro)

gain
potential
hint
expert

Vectorization

Your loop is not vectorized. Only 9% of vector register length is used (average across all SSE/AVX instructions). By vectorizing your loop, you can lower the cost of an iteration from 4.00 to 0.28 cycles (14.29x 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 ffast-math (included in Ofast) 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

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

FMA

Detected 1 FMA (fused multiply-add) operations.

Complex instructions

Detected COMPLEX INSTRUCTIONS.

Details

These instructions generate more than one micro-operation and only one of them can be decoded during a cycle and the extra micro-operations increase pressure on execution units.

VCVTUSI2SS: 1 occurrences►
- /usr/lib/gcc/x86_64-redhat-linux/11/../../../../include/c++/11/bits/random.tcc:3366

Conversion instructions

Detected expensive conversion instructions.

Details

VCVTUSI2SS (INT32/64 to FP32, scalar): 1 occurrences►
- /usr/lib/gcc/x86_64-redhat-linux/11/../../../../include/c++/11/bits/random.tcc:3366

Workaround

Avoid mixing data with different types. In particular, check if the type of constants is the same as array elements.

Type of elements and instruction set

2 SSE or AVX instructions are processing arithmetic or math operations on single 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 3 FP arithmetical operations:

1: addition or subtraction (all inside FMA instructions)
2: multiply (1 inside FMA instructions)

The binary loop is loading 12 bytes (3 single precision FP elements). The binary loop is storing 8 bytes (2 single precision FP elements).

Arithmetic intensity

Arithmetic intensity is 0.15 FP operations per loaded or stored byte.

General properties

nb instructions	25
nb uops	25
loop length	110
used x86 registers	5
used mmx registers	0
used xmm registers	4
used ymm registers	0
used zmm registers	0
nb stack references	1

Front-end

ASSUMED MACRO FUSION FIT IN UOP CACHE

micro-operation queue	3.13 cycles
front end	3.13 cycles

Back-end

	P0	P1	P2	P3	P4	P5	P6	P7	P8	P9	P10	P11	P12	P13	P14	P15
uops	2.50	2.50	2.50	2.50	2.50	2.50	0.75	0.75	0.75	0.75	1.00	1.00	0.50	0.50	0.00	0.00
cycles	2.50	2.50	2.50	2.50	2.50	2.50	0.75	0.75	0.75	0.75	1.00	1.00	0.50	0.50	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)	4.00

Cycles summary

Front-end	3.13
Dispatch	2.50
Data deps.	4.00
Overall L1	4.00

Vectorization ratios

INT

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

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	NA (no div/sqrt vectorizable/vectorized instructions)
other	NA (no other vectorizable/vectorized instructions)

INT+FP

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

Vector efficiency ratios

INT

all	9%
load	NA (no load vectorizable/vectorized instructions)
store	12%
mul	NA (no mul vectorizable/vectorized instructions)
add-sub	12%
fma	NA (no fma vectorizable/vectorized instructions)
other	8%

all	6%
load	6%
store	NA (no store vectorizable/vectorized instructions)
mul	6%
add-sub	NA (no add-sub vectorizable/vectorized instructions)
fma	6%
div/sqrt	NA (no div/sqrt vectorizable/vectorized instructions)
other	NA (no other vectorizable/vectorized instructions)

INT+FP

all	9%
load	6%
store	12%
mul	6%
add-sub	12%
fma	6%
div/sqrt	NA (no div/sqrt vectorizable/vectorized instructions)
other	8%

Cycles and memory resources usage

Assuming all data fit into the L1 cache, each iteration of the binary loop takes 4.00 cycles. At this rate:

1% of peak load performance is reached (3.00 out of 256.00 bytes loaded per cycle (GB/s @ 1GHz))
1% of peak store performance is reached (2.00 out of 128.00 bytes stored per cycle (GB/s @ 1GHz))

Front-end bottlenecks

Found no such bottlenecks.

ASM code

In the binary file, the address of the loop is: 4675

Instruction	Nb FU	P0	P1	P2	P3	P4	P5	P6	P7	P8	P9	P10	P11	P12	P13	Latency	Recip. throughput	Vectorization
MOV %R13,%RDX	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0.13	N/A
INC %R13	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	0	1	0.17	N/A
MOV $0x200b,%ESI	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	0	1	0.17	scal (6.3%)
MOV %R13,0x19b8(%RSP)	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	0	4	0.50	scal (12.5%)
MOV 0x638(%RSP,%RDX,8),%RDX	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0	0	0	0	3	0.25	N/A
BEXTR %RSI,%RDX,%RSI	1	0	0	0	0.33	0.33	0.33	0	0	0	0	0	0	0	0	1	0.33	N/A
XOR %RDX,%RSI	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	0	1	0.17	scal (12.5%)
MOV %ESI,%EDX	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0.13	N/A
SAL $0x7,%EDX	1	0	0	0	0.33	0.33	0.33	0	0	0	0	0	0	0	0	1	0.33	N/A
AND $-0x62d3a980,%EDX	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	0	1	0.17	N/A
XOR %RSI,%RDX	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	0	1	0.17	N/A
MOV %EDX,%ESI	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0.13	scal (6.3%)
SAL $0xf,%ESI	1	0	0	0	0.33	0.33	0.33	0	0	0	0	0	0	0	0	1	0.33	scal (6.3%)
AND $-0x103a0000,%ESI	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	0	1	0.17	scal (6.3%)
XOR %RDX,%RSI	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	0	1	0.17	scal (12.5%)
MOV %RSI,%RDX	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0.13	N/A
SHR $0x12,%RDX	1	0	0	0	0.33	0.33	0.33	0	0	0	0	0	0	0	0	1	0.33	N/A
XOR %RSI,%RDX	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	0	1	0.17	N/A
DEC %RCX	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	0	1	0.17	scal (12.5%)
VCVTUSI2SS %RDX,%XMM15,%XMM2	2	0	0	0	0	0	0	0	0	0	0	0	0	0.50	0.50	3-9	1	scal (12.5%)
VFMADD231SS %XMM2,%XMM1,%XMM0	1	0	0	0	0	0	0	0	0	0	0	0.50	0.50	0	0	4	0.50	scal (6.3%)
VMULSS 0x4999(%RIP),%XMM1,%XMM1	1	0	0	0	0	0	0	0.25	0.25	0.25	0.25	0.50	0.50	0	0	3	0.50	scal (6.3%)
JE 4a90 <main+0x10e0>	1	0	0	0	0.33	0.33	0.33	0	0	0	0	0	0	0	0	0	0.33-0.50	N/A
CMP $0x270,%R13	1	0.17	0.17	0.17	0.17	0.17	0.17	0	0	0	0	0	0	0	0	1	0.17	N/A
JB 4610 <main+0xc60>	1	0	0	0	0.33	0.33	0.33	0	0	0	0	0	0	0	0	0	0.33-0.50	N/A

Report Configuration

Vectorization

Details

Workaround

FMA

Complex instructions

Details

Slow data structures access

Details

Workaround

Conversion 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

Code clean check

Workaround

Vectorization

Details

Workaround

Execution units bottlenecks

FMA

Complex instructions

Details

Slow data structures access

Details

Workaround

Conversion 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

Workaround

Execution units bottlenecks

FMA

Complex instructions

Details

Conversion 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