OV - attention-clang-znver5-512 - Loop 100 - attention-clang-znver5-512

	Loop Id: 100	Module: attention-clang-znver5-512	Source: random.tcc:401-3367 [...]	Coverage: 0.11%

0x4b30 MOV	%R13,%RCX

0x4b33 INC	%R13

0x4b36 MOV	$0x200b,%EDX

0x4b3b MOV	%R13,0x19b8(%RSP)

0x4b43 MOV	0x638(%RSP,%RCX,8),%RCX

0x4b4b BEXTR	%RDX,%RCX,%RDX

0x4b50 XOR	%RCX,%RDX

0x4b53 MOV	%EDX,%ECX

0x4b55 SAL	$0x7,%ECX

0x4b58 AND	$-0x62d3a980,%ECX

0x4b5e XOR	%RDX,%RCX

0x4b61 MOV	%ECX,%EDX

0x4b63 SAL	$0xf,%EDX

0x4b66 AND	$-0x103a0000,%EDX

0x4b6c XOR	%RCX,%RDX

0x4b6f MOV	%RDX,%RCX

0x4b72 SHR	$0x12,%RCX

0x4b76 XOR	%RDX,%RCX

0x4b79 DEC	%RAX

0x4b7c VCVTUSI2SS	%RCX,%XMM15,%XMM2

0x4b82 VFMADD231SS	%XMM2,%XMM1,%XMM0

0x4b87 VMULSS	0x4479(%RIP),%XMM1,%XMM1

0x4b8f JE	4fb0

0x4b95 CMP	$0x270,%R13

0x4b9c JB	4b30

0x4b9e VPBROADCASTQ	0x4498(%RIP),%ZMM14

0x4ba8 VPBROADCASTQ	0x4496(%RIP),%ZMM15

0x4bb2 VPBROADCASTQ	0x4494(%RIP),%ZMM16

0x4bbc VPBROADCASTQ	0x4492(%RIP),%ZMM17

0x4bc6 VPBROADCASTQ	%RBX,%ZMM2

0x4bcc XOR	%ECX,%ECX

0x4bce XCHG	%AX,%AX

  (101) 0x4bd0 VMOVDQU64	0x640(%RSP,%RCX,8),%ZMM3

  (101) 0x4bd8 VMOVDQU64	0x680(%RSP,%RCX,8),%ZMM4

  (101) 0x4be0 VMOVDQU64	0x6c0(%RSP,%RCX,8),%ZMM5

  (101) 0x4be8 VALIGNQ	$0x7,%ZMM2,%ZMM3,%ZMM6

  (101) 0x4bef VMOVDQU64	0x700(%RSP,%RCX,8),%ZMM2

  (101) 0x4bf7 VALIGNQ	$0x7,%ZMM3,%ZMM4,%ZMM7

  (101) 0x4bfe VALIGNQ	$0x7,%ZMM4,%ZMM5,%ZMM8

  (101) 0x4c05 VPANDQ	%ZMM15,%ZMM3,%ZMM10

  (101) 0x4c0b VPANDQ	%ZMM15,%ZMM4,%ZMM11

  (101) 0x4c11 VPANDQ	%ZMM15,%ZMM5,%ZMM12

  (101) 0x4c17 VPTESTMQ	%ZMM16,%ZMM3,%K1

  (101) 0x4c1d VPTESTMQ	%ZMM16,%ZMM4,%K2

  (101) 0x4c23 VPTESTMQ	%ZMM16,%ZMM5,%K3

  (101) 0x4c29 VPTERNLOGQ	$-0x8,%ZMM14,%ZMM6,%ZMM10

  (101) 0x4c30 VPTERNLOGQ	$-0x8,%ZMM14,%ZMM7,%ZMM11

  (101) 0x4c37 VPTERNLOGQ	$-0x8,%ZMM14,%ZMM8,%ZMM12

  (101) 0x4c3e VPSRLQ	$0x1,%ZMM10,%ZMM6

  (101) 0x4c45 VPSRLQ	$0x1,%ZMM11,%ZMM7

  (101) 0x4c4c VPSRLQ	$0x1,%ZMM12,%ZMM8

  (101) 0x4c53 VPXORQ	0x12a0(%RSP,%RCX,8),%ZMM6,%ZMM6

  (101) 0x4c5e VPXORQ	0x12e0(%RSP,%RCX,8),%ZMM7,%ZMM7

  (101) 0x4c69 VPXORQ	0x1320(%RSP,%RCX,8),%ZMM8,%ZMM8

  (101) 0x4c74 VALIGNQ	$0x7,%ZMM5,%ZMM2,%ZMM9

  (101) 0x4c7b VPANDQ	%ZMM15,%ZMM2,%ZMM13

  (101) 0x4c81 VPTESTMQ	%ZMM16,%ZMM2,%K4

  (101) 0x4c87 VPTERNLOGQ	$-0x8,%ZMM14,%ZMM9,%ZMM13

  (101) 0x4c8e VPSRLQ	$0x1,%ZMM13,%ZMM9

  (101) 0x4c95 VPXORQ	0x1360(%RSP,%RCX,8),%ZMM9,%ZMM9

  (101) 0x4ca0 VPXORQ	%ZMM17,%ZMM6,%ZMM6{%K1}

  (101) 0x4ca6 VPXORQ	%ZMM17,%ZMM7,%ZMM7{%K2}

  (101) 0x4cac VPXORQ	%ZMM17,%ZMM8,%ZMM8{%K3}

  (101) 0x4cb2 VMOVDQU64	%ZMM6,0x638(%RSP,%RCX,8)

  (101) 0x4cbd VMOVDQU64	%ZMM7,0x678(%RSP,%RCX,8)

  (101) 0x4cc8 VMOVDQU64	%ZMM8,0x6b8(%RSP,%RCX,8)

  (101) 0x4cd3 VPXORQ	%ZMM17,%ZMM9,%ZMM9{%K4}

  (101) 0x4cd9 VMOVDQU64	%ZMM9,0x6f8(%RSP,%RCX,8)

  (101) 0x4ce4 ADD	$0x20,%RCX

  (101) 0x4ce8 CMP	$0xe0,%RCX

  (101) 0x4cef JNE	4bd0

0x4cf5 MOV	0xd40(%RSP),%RDX

0x4cfd VEXTRACTI32X4	$0x3,%ZMM2,%XMM2

0x4d04 MOV	0xd48(%RSP),%RCX

0x4d0c VPBROADCASTQ	0x432b(%RIP),%XMM8

0x4d15 VPBROADCASTQ	0x432a(%RIP),%XMM9

0x4d1e VPBROADCASTQ	0x4329(%RIP),%XMM10

0x4d27 VPBROADCASTQ	0x4328(%RIP),%XMM11

0x4d30 VPEXTRQ	$0x1,%XMM2,%RSI

0x4d36 AND	$-0x80000000,%RSI

0x4d3d MOV	%EDX,%EDI

0x4d3f AND	$0x7ffffffe,%EDI

0x4d45 OR	%RSI,%RDI

0x4d48 MOV	%EDX,%ESI

0x4d4a AND	$0x1,%ESI

0x4d4d AND	$-0x80000000,%RDX

0x4d54 SHR	$0x1,%RDI

0x4d57 XOR	0x19a0(%RSP),%RDI

0x4d5f NEG	%ESI

0x4d61 AND	%R12D,%ESI

0x4d64 XOR	%RDI,%RSI

0x4d67 MOV	%RSI,0xd38(%RSP)

0x4d6f MOV	%ECX,%ESI

0x4d71 AND	$0x7ffffffe,%ESI

0x4d77 OR	%RDX,%RSI

0x4d7a MOV	%ECX,%EDX

0x4d7c AND	$0x1,%EDX

0x4d7f AND	$-0x80000000,%RCX

0x4d86 SHR	$0x1,%RSI

0x4d89 XOR	0x19a8(%RSP),%RSI

0x4d91 NEG	%EDX

0x4d93 AND	%R12D,%EDX

0x4d96 XOR	%RSI,%RDX

0x4d99 MOV	%RDX,0xd40(%RSP)

0x4da1 MOV	0xd50(%RSP),%RDX

0x4da9 MOV	%EDX,%ESI

0x4dab VPBROADCASTQ	%RDX,%XMM2

0x4db1 AND	$0x7ffffffe,%EDX

0x4db7 AND	$0x1,%ESI

0x4dba OR	%RCX,%RDX

0x4dbd NEG	%ESI

0x4dbf MOV	$0xee,%ECX

0x4dc4 SHR	$0x1,%RDX

0x4dc7 XOR	0x19b0(%RSP),%RDX

0x4dcf AND	%R12D,%ESI

0x4dd2 XOR	%RDX,%RSI

0x4dd5 MOV	%RSI,0xd48(%RSP)

0x4ddd NOPL	(%RAX)

  (102) 0x4de0 VMOVDQU	0x5e8(%RSP,%RCX,8),%XMM3

  (102) 0x4de9 VMOVDQU	0x5f8(%RSP,%RCX,8),%XMM4

  (102) 0x4df2 VMOVDQU	0x608(%RSP,%RCX,8),%XMM5

  (102) 0x4dfb VMOVDQU	0x618(%RSP,%RCX,8),%XMM6

  (102) 0x4e04 VPALIGNR	$0x8,%XMM2,%XMM3,%XMM2

  (102) 0x4e0a VPAND	%XMM3,%XMM9,%XMM7

  (102) 0x4e0e VPTESTMQ	%XMM10,%XMM3,%K1

  (102) 0x4e14 VPTERNLOGQ	$-0x8,%XMM8,%XMM2,%XMM7

  (102) 0x4e1b VPSRLQ	$0x1,%XMM7,%XMM2

  (102) 0x4e20 VPXOR	-0x138(%RSP,%RCX,8),%XMM2,%XMM2

  (102) 0x4e29 VPXORQ	%XMM11,%XMM2,%XMM2{%K1}

  (102) 0x4e2f VPTESTMQ	%XMM10,%XMM4,%K1

  (102) 0x4e35 VMOVDQU	%XMM2,0x5e0(%RSP,%RCX,8)

  (102) 0x4e3e VPALIGNR	$0x8,%XMM3,%XMM4,%XMM2

  (102) 0x4e44 VPAND	%XMM4,%XMM9,%XMM3

  (102) 0x4e48 VPTERNLOGQ	$-0x8,%XMM8,%XMM2,%XMM3

  (102) 0x4e4f VPSRLQ	$0x1,%XMM3,%XMM2

  (102) 0x4e54 VPXOR	-0x128(%RSP,%RCX,8),%XMM2,%XMM2

  (102) 0x4e5d VPAND	%XMM5,%XMM9,%XMM3

  (102) 0x4e61 VPXORQ	%XMM11,%XMM2,%XMM2{%K1}

  (102) 0x4e67 VPTESTMQ	%XMM10,%XMM5,%K1

  (102) 0x4e6d VMOVDQU	%XMM2,0x5f0(%RSP,%RCX,8)

  (102) 0x4e76 VPALIGNR	$0x8,%XMM4,%XMM5,%XMM2

  (102) 0x4e7c VPTERNLOGQ	$-0x8,%XMM8,%XMM2,%XMM3

  (102) 0x4e83 VPSRLQ	$0x1,%XMM3,%XMM2

  (102) 0x4e88 VPXOR	-0x118(%RSP,%RCX,8),%XMM2,%XMM2

  (102) 0x4e91 VPAND	%XMM6,%XMM9,%XMM3

  (102) 0x4e95 VPXORQ	%XMM11,%XMM2,%XMM2{%K1}

  (102) 0x4e9b VPTESTMQ	%XMM10,%XMM6,%K1

  (102) 0x4ea1 VMOVDQU	%XMM2,0x600(%RSP,%RCX,8)

  (102) 0x4eaa VPALIGNR	$0x8,%XMM5,%XMM6,%XMM2

  (102) 0x4eb0 VPTERNLOGQ	$-0x8,%XMM8,%XMM2,%XMM3

  (102) 0x4eb7 VPSRLQ	$0x1,%XMM3,%XMM2

  (102) 0x4ebc VPXOR	-0x108(%RSP,%RCX,8),%XMM2,%XMM2

  (102) 0x4ec5 VPXORQ	%XMM11,%XMM2,%XMM2{%K1}

  (102) 0x4ecb VMOVDQU	%XMM2,0x610(%RSP,%RCX,8)

  (102) 0x4ed4 VMOVDQU	0x628(%RSP,%RCX,8),%XMM3

  (102) 0x4edd VPALIGNR	$0x8,%XMM6,%XMM3,%XMM2

  (102) 0x4ee3 VPAND	%XMM3,%XMM9,%XMM4

  (102) 0x4ee7 VPTESTMQ	%XMM10,%XMM3,%K1

  (102) 0x4eed VPTERNLOGQ	$-0x8,%XMM8,%XMM2,%XMM4

  (102) 0x4ef4 VPSRLQ	$0x1,%XMM4,%XMM2

  (102) 0x4ef9 VPXOR	-0xf8(%RSP,%RCX,8),%XMM2,%XMM2

  (102) 0x4f02 VPXORQ	%XMM11,%XMM2,%XMM2{%K1}

  (102) 0x4f08 VMOVDQU	%XMM2,0x620(%RSP,%RCX,8)

  (102) 0x4f11 VMOVDQU	0x638(%RSP,%RCX,8),%XMM2

  (102) 0x4f1a VPALIGNR	$0x8,%XMM3,%XMM2,%XMM3

  (102) 0x4f20 VPAND	%XMM2,%XMM9,%XMM4

  (102) 0x4f24 VPTESTMQ	%XMM10,%XMM2,%K1

  (102) 0x4f2a VPTERNLOGQ	$-0x8,%XMM8,%XMM3,%XMM4

  (102) 0x4f31 VPSRLQ	$0x1,%XMM4,%XMM3

  (102) 0x4f36 VPXOR	-0xe8(%RSP,%RCX,8),%XMM3,%XMM3

  (102) 0x4f3f VPXORQ	%XMM11,%XMM3,%XMM3{%K1}

  (102) 0x4f45 VMOVDQU	%XMM3,0x630(%RSP,%RCX,8)

  (102) 0x4f4e ADD	$0xc,%RCX

  (102) 0x4f52 CMP	$0x27a,%RCX

  (102) 0x4f59 JNE	4de0

0x4f5f MOV	0x19b0(%RSP),%RCX

0x4f67 MOV	0x638(%RSP),%RBX

0x4f6f XOR	%R13D,%R13D

0x4f72 MOV	%EBX,%EDX

0x4f74 AND	%R14,%RCX

0x4f77 AND	$0x7ffffffe,%EDX

0x4f7d OR	%RCX,%RDX

0x4f80 MOV	%EBX,%ECX

0x4f82 AND	$0x1,%ECX

0x4f85 SHR	$0x1,%RDX

0x4f88 XOR	0x1298(%RSP),%RDX

0x4f90 NEG	%ECX

0x4f92 AND	%R12D,%ECX

0x4f95 XOR	%RDX,%RCX

0x4f98 MOV	%RCX,0x19b0(%RSP)

0x4fa0 JMP	4b30

/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	2.04
CQA speedup if fully vectorized	12.09
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	4.01
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	0.77
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	9.69
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	1.78
CQA speedup if fully vectorized	11.52
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	6.94
CQA cycles if fully vectorized	1.07
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	1.54
Vectorization ratio load	0.00
Vectorization ratio store	0.00
Vectorization ratio mul	0.00
Vectorization ratio add_sub	NA
Vectorization ratio fma	0.00
Vectorization ratio div_sqrt	NA
Vectorization ratio other	1.82
Vector-efficiency ratio all	10.29
Vector-efficiency ratio load	12.11
Vector-efficiency ratio store	12.50
Vector-efficiency ratio mul	6.25
Vector-efficiency ratio add_sub	NA
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 (12.09x 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	7.50
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 1.07 cycles (11.52x 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	10
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	NA (no add-sub vectorizable/vectorized instructions)
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	NA (no add-sub vectorizable/vectorized instructions)
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	NA (no add-sub vectorizable/vectorized instructions)
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	NA (no add-sub vectorizable/vectorized instructions)
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: 4b95

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,%RCX	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,%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	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,%RCX,8),%RCX	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 %RDX,%RCX,%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 %RCX,%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	scal (12.5%)
MOV %EDX,%ECX	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0.13	N/A
SAL $0x7,%ECX	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,%ECX	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 %RDX,%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	N/A
MOV %ECX,%EDX	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,%EDX	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,%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	scal (6.3%)
XOR %RCX,%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	scal (12.5%)
MOV %RDX,%RCX	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0.13	N/A
SHR $0x12,%RCX	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,%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	N/A
DEC %RAX	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
VCVTUSI2SS %RCX,%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 0x4479(%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 4fb0 <main+0x1600>	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 4b30 <main+0x1180>	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 0x4498(%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 0x4496(%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 0x4494(%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 0x4492(%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 %ECX,%ECX	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),%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	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),%RCX	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 0x432b(%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 0x432a(%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 0x4329(%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 0x4328(%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,%RSI	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,%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 %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	scal (12.5%)
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 0x19a0(%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,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 %ECX,%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 $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 %ECX,%EDX	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,%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	scal (6.3%)
AND $-0x80000000,%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	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 0x19a8(%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	scal (6.3%)
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	scal (6.3%)
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	scal (12.5%)
MOV %RDX,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),%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	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%)
VPBROADCASTQ %RDX,%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,%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	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%)
OR %RCX,%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	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%)
MOV $0xee,%ECX	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,%RDX	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),%RDX	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,%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,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%)
NOPL (%RAX)	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),%RCX	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,%EDX	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,%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	N/A
AND $0x7ffffffe,%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	scal (6.3%)
OR %RCX,%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	scal (12.5%)
MOV %EBX,%ECX	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0.13	N/A
AND $0x1,%ECX	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,%RDX	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),%RDX	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 %ECX	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,%ECX	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 %RDX,%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	N/A
MOV %RCX,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 4b30 <main+0x1180>	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: 4b95

Instruction	Nb FU	P0	P1	P2	P3	P4	P5	P6	P7	P8	P9	P10	P11	P12	P13	Latency	Recip. throughput	Vectorization
MOV %R13,%RCX	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,%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	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,%RCX,8),%RCX	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 %RDX,%RCX,%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 %RCX,%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	scal (12.5%)
MOV %EDX,%ECX	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0.13	N/A
SAL $0x7,%ECX	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,%ECX	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 %RDX,%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	N/A
MOV %ECX,%EDX	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0.13	scal (6.3%)
SAL $0xf,%EDX	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,%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	scal (6.3%)
XOR %RCX,%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	scal (12.5%)
MOV %RDX,%RCX	1	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0.13	N/A
SHR $0x12,%RCX	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,%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	N/A
DEC %RAX	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 %RCX,%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 0x4479(%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 4fb0 <main+0x1600>	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 4b30 <main+0x1180>	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