user: Demonstrate the C code that generates the assembly output below:

```asm
<helper_double_18_recursive>:
  endbr64
  push   %r12
  push   %rbp
  push   %rbx
  mov    %rdi,%rbx
  cmp    $0xc,%esi
  je     L55
  cmp    $0xf,%esi
  je     L38
  cmp    $0x12,%esi
  je     L74
L52:
  pop    %rbx
  pop    %rbp
  pop    %r12
  ret
L55:
  mov    %rdi,%rdx
  lea    0x8000(%rdi),%rbp
  mov    %rdi,%rax
  nopl   0x0(%rax)
L88:
  lea    0x10(%rax),%rcx
  lea    0x20(%rax),%rsi
  lea    0x30(%rax),%rdi
  lea    0x40(%rax),%r8
  lea    0x50(%rax),%r9
  lea    0x60(%rax),%r10
  lea    0x70(%rax),%r11
  movupd (%rax),%xmm0
  movupd (%rcx),%xmm1
  movupd (%rsi),%xmm2
  movupd (%rdi),%xmm3
  movupd (%r8),%xmm4
  movupd (%r9),%xmm5
  movupd (%r10),%xmm6
  movupd (%r11),%xmm7
  movapd %xmm0,%xmm8
  haddpd %xmm8,%xmm8
  movapd %xmm0,%xmm9
  hsubpd %xmm9,%xmm9
  blendpd $0x1,%xmm8,%xmm9
  movapd %xmm9,%xmm0
  movapd %xmm1,%xmm8
  haddpd %xmm8,%xmm8
  movapd %xmm1,%xmm9
  hsubpd %xmm9,%xmm9
  blendpd $0x1,%xmm8,%xmm9
  movapd %xmm9,%xmm1
  movapd %xmm2,%xmm8
  haddpd %xmm8,%xmm8
  movapd %xmm2,%xmm9
  hsubpd %xmm9,%xmm9
  blendpd $0x1,%xmm8,%xmm9
  movapd %xmm9,%xmm2
  movapd %xmm3,%xmm8
  haddpd %xmm8,%xmm8
  movapd %xmm3,%xmm9
  hsubpd %xmm9,%xmm9
  blendpd $0x1,%xmm8,%xmm9
  movapd %xmm9,%xmm3
  movapd %xmm4,%xmm8
  haddpd %xmm8,%xmm8
  movapd %xmm4,%xmm9
  hsubpd %xmm9,%xmm9
  blendpd $0x1,%xmm8,%xmm9
  movapd %xmm9,%xmm4
  movapd %xmm5,%xmm8
  haddpd %xmm8,%xmm8
  movapd %xmm5,%xmm9
  hsubpd %xmm9,%xmm9
  blendpd $0x1,%xmm8,%xmm9
  movapd %xmm9,%xmm5
  movapd %xmm6,%xmm8
  haddpd %xmm8,%xmm8
  movapd %xmm6,%xmm9
  hsubpd %xmm9,%xmm9
  blendpd $0x1,%xmm8,%xmm9
  movapd %xmm9,%xmm6
  movapd %xmm7,%xmm8
  haddpd %xmm8,%xmm8
  movapd %xmm7,%xmm9
  hsubpd %xmm9,%xmm9
  blendpd $0x1,%xmm8,%xmm9
  movapd %xmm9,%xmm7
  movapd %xmm0,%xmm8
  movapd %xmm0,%xmm9
  addpd  %xmm1,%xmm8
  subpd  %xmm1,%xmm9
  movapd %xmm2,%xmm10
  movapd %xmm2,%xmm11
  addpd  %xmm3,%xmm10
  subpd  %xmm3,%xmm11
  movapd %xmm4,%xmm12
  movapd %xmm4,%xmm13
  addpd  %xmm5,%xmm12
  subpd  %xmm5,%xmm13
  movapd %xmm6,%xmm14
  movapd %xmm6,%xmm15
  addpd  %xmm7,%xmm14
  subpd  %xmm7,%xmm15
  movapd %xmm8,%xmm0
  movapd %xmm8,%xmm2
  addpd  %xmm10,%xmm0
  subpd  %xmm10,%xmm2
  movapd %xmm9,%xmm1
  movapd %xmm9,%xmm3
  addpd  %xmm11,%xmm1
  subpd  %xmm11,%xmm3
  movapd %xmm12,%xmm4
  movapd %xmm12,%xmm6
  addpd  %xmm14,%xmm4
  subpd  %xmm14,%xmm6
  movapd %xmm13,%xmm5
  movapd %xmm13,%xmm7
  addpd  %xmm15,%xmm5
  subpd  %xmm15,%xmm7
  movapd %xmm0,%xmm8
  movapd %xmm0,%xmm12
  addpd  %xmm4,%xmm8
  subpd  %xmm4,%xmm12
  movapd %xmm1,%xmm9
  movapd %xmm1,%xmm13
  addpd  %xmm5,%xmm9
  subpd  %xmm5,%xmm13
  movapd %xmm2,%xmm10
  movapd %xmm2,%xmm14
  addpd  %xmm6,%xmm10
  subpd  %xmm6,%xmm14
  movapd %xmm3,%xmm11
  movapd %xmm3,%xmm15
  addpd  %xmm7,%xmm11
  subpd  %xmm7,%xmm15
  movupd %xmm8,(%rax)
  movupd %xmm9,(%rcx)
  movupd %xmm10,(%rsi)
  movupd %xmm11,(%rdi)
  movupd %xmm12,(%r8)
  movupd %xmm13,(%r9)
  movupd %xmm14,(%r10)
  movupd %xmm15,(%r11)
  sub    $0xffffffffffffff80,%rax
  cmp    %rax,%rbp
  jne    L88
  lea    0x80(%rbx),%rbp
  lea    0x8080(%rbx),%r12
  nopl   0x0(%rax,%rax,1)
L12:
  lea    -0x80(%rbp),%rax
  nopl   0x0(%rax)
L126:
  lea    0x80(%rax),%rcx
  lea    0x100(%rax),%rsi
  lea    0x180(%rax),%rdi
  lea    0x200(%rax),%r8
  lea    0x280(%rax),%r9
  lea    0x300(%rax),%r10
  lea    0x380(%rax),%r11
  movupd (%rax),%xmm0
  movupd (%rcx),%xmm1
  movupd (%rsi),%xmm2
  movupd (%rdi),%xmm3
  movupd (%r8),%xmm4
  movupd (%r9),%xmm5
  movupd (%r10),%xmm6
  movupd (%r11),%xmm7
  movapd %xmm0,%xmm8
  movapd %xmm0,%xmm9
  addpd  %xmm1,%xmm8
  subpd  %xmm1,%xmm9
  movapd %xmm2,%xmm10
  movapd %xmm2,%xmm11
  addpd  %xmm3,%xmm10
  subpd  %xmm3,%xmm11
  movapd %xmm4,%xmm12
  movapd %xmm4,%xmm13
  addpd  %xmm5,%xmm12
  subpd  %xmm5,%xmm13
  movapd %xmm6,%xmm14
  movapd %xmm6,%xmm15
  addpd  %xmm7,%xmm14
  subpd  %xmm7,%xmm15
  movapd %xmm8,%xmm0
  movapd %xmm8,%xmm2
  addpd  %xmm10,%xmm0
  subpd  %xmm10,%xmm2
  movapd %xmm9,%xmm1
  movapd %xmm9,%xmm3
  addpd  %xmm11,%xmm1
  subpd  %xmm11,%xmm3
  movapd %xmm12,%xmm4
  movapd %xmm12,%xmm6
  addpd  %xmm14,%xmm4
  subpd  %xmm14,%xmm6
  movapd %xmm13,%xmm5
  movapd %xmm13,%xmm7
  addpd  %xmm15,%xmm5
  subpd  %xmm15,%xmm7
  movapd %xmm0,%xmm8
  movapd %xmm0,%xmm12
  addpd  %xmm4,%xmm8
  subpd  %xmm4,%xmm12
  movapd %xmm1,%xmm9
  movapd %xmm1,%xmm13
  addpd  %xmm5,%xmm9
  subpd  %xmm5,%xmm13
  movapd %xmm2,%xmm10
  movapd %xmm2,%xmm14
  addpd  %xmm6,%xmm10
  subpd  %xmm6,%xmm14
  movapd %xmm3,%xmm11
  movapd %xmm3,%xmm15
  addpd  %xmm7,%xmm11
  subpd  %xmm7,%xmm15
  movupd %xmm8,(%rax)
  movupd %xmm9,(%rcx)
  movupd %xmm10,(%rsi)
  movupd %xmm11,(%rdi)
  movupd %xmm12,(%r8)
  movupd %xmm13,(%r9)
  movupd %xmm14,(%r10)
  movupd %xmm15,(%r11)
  add    $0x10,%rax
  cmp    %rax,%rbp
  jne    L126
  add    $0x400,%rbp
  cmp    %rbp,%r12
  jne    L12
  lea    0x400(%rbx),%rbp
  xor    %r12d,%r12d
L89:
  lea    -0x400(%rbp),%rax
  nopl   0x0(%rax,%rax,1)
L33:
  lea    0x400(%rax),%rcx
  lea    0x800(%rax),%rsi
  lea    0xc00(%rax),%rdi
  lea    0x1000(%rax),%r8
  lea    0x1400(%rax),%r9
  lea    0x1800(%rax),%r10
  lea    0x1c00(%rax),%r11
  movupd (%rax),%xmm0
  movupd (%rcx),%xmm1
  movupd (%rsi),%xmm2
  movupd (%rdi),%xmm3
  movupd (%r8),%xmm4
  movupd (%r9),%xmm5
  movupd (%r10),%xmm6
  movupd (%r11),%xmm7
  movapd %xmm0,%xmm8
  movapd %xmm0,%xmm9
  addpd  %xmm1,%xmm8
  subpd  %xmm1,%xmm9
  movapd %xmm2,%xmm10
  movapd %xmm2,%xmm11
  addpd  %xmm3,%xmm10
  subpd  %xmm3,%xmm11
  movapd %xmm4,%xmm12
  movapd %xmm4,%xmm13
  addpd  %xmm5,%xmm12
  subpd  %xmm5,%xmm13
  movapd %xmm6,%xmm14
  movapd %xmm6,%xmm15
  addpd  %xmm7,%xmm14
  subpd  %xmm7,%xmm15
  movapd %xmm8,%xmm0
  movapd %xmm8,%xmm2
  addpd  %xmm10,%xmm0
  subpd  %xmm10,%xmm2
  movapd %xmm9,%xmm1
  movapd %xmm9,%xmm3
  addpd  %xmm11,%xmm1
  subpd  %xmm11,%xmm3
  movapd %xmm12,%xmm4
  movapd %xmm12,%xmm6
  addpd  %xmm14,%xmm4
  subpd  %xmm14,%xmm6
  movapd %xmm13,%xmm5
  movapd %xmm13,%xmm7
  addpd  %xmm15,%xmm5
  subpd  %xmm15,%xmm7
  movapd %xmm0,%xmm8
  movapd %xmm0,%xmm12
  addpd  %xmm4,%xmm8
  subpd  %xmm4,%xmm12
  movapd %xmm1,%xmm9
  movapd %xmm1,%xmm13
  addpd  %xmm5,%xmm9
  subpd  %xmm5,%xmm13
  movapd %xmm2,%xmm10
  movapd %xmm2,%xmm14
  addpd  %xmm6,%xmm10
  subpd  %xmm6,%xmm14
  movapd %xmm3,%xmm11
  movapd %xmm3,%xmm15
  addpd  %xmm7,%xmm11
  subpd  %xmm7,%xmm15
  movupd %xmm8,(%rax)
  movupd %xmm9,(%rcx)
  movupd %xmm10,(%rsi)
  movupd %xmm11,(%rdi)
  movupd %xmm12,(%r8)
  movupd %xmm13,(%r9)
  movupd %xmm14,(%r10)
  movupd %xmm15,(%r11)
  add    $0x10,%rax
  cmp    %rax,%rbp
  jne    L33
  add    $0x400,%r12
  add    $0x2000,%rbp
  cmp    $0x1000,%r12
  jne    L89
  add    $0x2000,%rbx
  nopl   0x0(%rax)
L72:
  lea    0x2000(%rdx),%rax
  lea    0x4000(%rdx),%rcx
  lea    0x6000(%rdx),%rsi
  movupd (%rdx),%xmm0
  movupd (%rax),%xmm1
  movupd (%rcx),%xmm2
  movupd (%rsi),%xmm3
  movapd %xmm0,%xmm8
  movapd %xmm0,%xmm9
  addpd  %xmm1,%xmm8
  subpd  %xmm1,%xmm9
  movapd %xmm2,%xmm10
  movapd %xmm2,%xmm11
  addpd  %xmm3,%xmm10
  subpd  %xmm3,%xmm11
  movapd %xmm8,%xmm0
  movapd %xmm8,%xmm2
  addpd  %xmm10,%xmm0
  subpd  %xmm10,%xmm2
  movapd %xmm9,%xmm1
  movapd %xmm9,%xmm3
  addpd  %xmm11,%xmm1
  subpd  %xmm11,%xmm3
  movupd %xmm0,(%rdx)
  movupd %xmm1,(%rax)
  movupd %xmm2,(%rcx)
  movupd %xmm3,(%rsi)
  add    $0x10,%rdx
  cmp    %rdx,%rbx
  jne    L72
  pop    %rbx
  pop    %rbp
  pop    %r12
  ret
L38:
  mov    $0xc,%esi
  lea    0x8000(%rbx),%rbp
  call   <helper_double_18_recursive>
  mov    $0xc,%esi
  mov    %rbp,%rdi
  call   <helper_double_18_recursive>
  lea    0x10000(%rbx),%rdi
  mov    $0xc,%esi
  call   <helper_double_18_recursive>
  lea    0x18000(%rbx),%rdi
  mov    $0xc,%esi
  call   <helper_double_18_recursive>
  lea    0x20000(%rbx),%rdi
  mov    $0xc,%esi
  call   <helper_double_18_recursive>
  lea    0x28000(%rbx),%rdi
  mov    $0xc,%esi
  call   <helper_double_18_recursive>
  lea    0x30000(%rbx),%rdi
  mov    $0xc,%esi
  call   <helper_double_18_recursive>
  lea    0x38000(%rbx),%rdi
  mov    $0xc,%esi
  call   <helper_double_18_recursive>
  nopl   0x0(%rax,%rax,1)
L97:
  lea    0x8000(%rbx),%rax
  lea    0x10000(%rbx),%rdx
  lea    0x18000(%rbx),%rcx
  lea    0x20000(%rbx),%rsi
  lea    0x28000(%rbx),%rdi
  lea    0x30000(%rbx),%r8
  lea    0x38000(%rbx),%r9
  movupd (%rbx),%xmm0
  movupd (%rax),%xmm1
  movupd (%rdx),%xmm2
  movupd (%rcx),%xmm3
  movupd (%rsi),%xmm4
  movupd (%rdi),%xmm5
  movupd (%r8),%xmm6
  movupd (%r9),%xmm7
  movapd %xmm0,%xmm8
  movapd %xmm0,%xmm9
  addpd  %xmm1,%xmm8
  subpd  %xmm1,%xmm9
  movapd %xmm2,%xmm10
  movapd %xmm2,%xmm11
  addpd  %xmm3,%xmm10
  subpd  %xmm3,%xmm11
  movapd %xmm4,%xmm12
  movapd %xmm4,%xmm13
  addpd  %xmm5,%xmm12
  subpd  %xmm5,%xmm13
  movapd %xmm6,%xmm14
  movapd %xmm6,%xmm15
  addpd  %xmm7,%xmm14
  subpd  %xmm7,%xmm15
  movapd %xmm8,%xmm0
  movapd %xmm8,%xmm2
  addpd  %xmm10,%xmm0
  subpd  %xmm10,%xmm2
  movapd %xmm9,%xmm1
  movapd %xmm9,%xmm3
  addpd  %xmm11,%xmm1
  subpd  %xmm11,%xmm3
  movapd %xmm12,%xmm4
  movapd %xmm12,%xmm6
  addpd  %xmm14,%xmm4
  subpd  %xmm14,%xmm6
  movapd %xmm13,%xmm5
  movapd %xmm13,%xmm7
  addpd  %xmm15,%xmm5
  subpd  %xmm15,%xmm7
  movapd %xmm0,%xmm8
  movapd %xmm0,%xmm12
  addpd  %xmm4,%xmm8
  subpd  %xmm4,%xmm12
  movapd %xmm1,%xmm9
  movapd %xmm1,%xmm13
  addpd  %xmm5,%xmm9
  subpd  %xmm5,%xmm13
  movapd %xmm2,%xmm10
  movapd %xmm2,%xmm14
  addpd  %xmm6,%xmm10
  subpd  %xmm6,%xmm14
  movapd %xmm3,%xmm11
  movapd %xmm3,%xmm15
  addpd  %xmm7,%xmm11
  subpd  %xmm7,%xmm15
  movupd %xmm8,(%rbx)
  movupd %xmm9,(%rax)
  movupd %xmm10,(%rdx)
  movupd %xmm11,(%rcx)
  movupd %xmm12,(%rsi)
  movupd %xmm13,(%rdi)
  movupd %xmm14,(%r8)
  movupd %xmm15,(%r9)
  add    $0x10,%rbx
  cmp    %rbx,%rbp
  jne    L97
  jmp    L52
L74:
  mov    $0xf,%esi
  lea    0x40000(%rbx),%rbp
  call   <helper_double_18_recursive>
  mov    $0xf,%esi
  mov    %rbp,%rdi
  call   <helper_double_18_recursive>
  lea    0x80000(%rbx),%rdi
  mov    $0xf,%esi
  call   <helper_double_18_recursive>
  lea    0xc0000(%rbx),%rdi
  mov    $0xf,%esi
  call   <helper_double_18_recursive>
  lea    0x100000(%rbx),%rdi
  mov    $0xf,%esi
  call   <helper_double_18_recursive>
  lea    0x140000(%rbx),%rdi
  mov    $0xf,%esi
  call   <helper_double_18_recursive>
  lea    0x180000(%rbx),%rdi
  mov    $0xf,%esi
  call   <helper_double_18_recursive>
  lea    0x1c0000(%rbx),%rdi
  mov    $0xf,%esi
  call   <helper_double_18_recursive>
  nopl   0x0(%rax)
L3:
  lea    0x40000(%rbx),%rax
  lea    0x80000(%rbx),%rdx
  lea    0xc0000(%rbx),%rcx
  lea    0x100000(%rbx),%rsi
  lea    0x140000(%rbx),%rdi
  lea    0x180000(%rbx),%r8
  lea    0x1c0000(%rbx),%r9
  movupd (%rbx),%xmm0
  movupd (%rax),%xmm1
  movupd (%rdx),%xmm2
  movupd (%rcx),%xmm3
  movupd (%rsi),%xmm4
  movupd (%rdi),%xmm5
  movupd (%r8),%xmm6
  movupd (%r9),%xmm7
  movapd %xmm0,%xmm8
  movapd %xmm0,%xmm9
  addpd  %xmm1,%xmm8
  subpd  %xmm1,%xmm9
  movapd %xmm2,%xmm10
  movapd %xmm2,%xmm11
  addpd  %xmm3,%xmm10
  subpd  %xmm3,%xmm11
  movapd %xmm4,%xmm12
  movapd %xmm4,%xmm13
  addpd  %xmm5,%xmm12
  subpd  %xmm5,%xmm13
  movapd %xmm6,%xmm14
  movapd %xmm6,%xmm15
  addpd  %xmm7,%xmm14
  subpd  %xmm7,%xmm15
  movapd %xmm8,%xmm0
  movapd %xmm8,%xmm2
  addpd  %xmm10,%xmm0
  subpd  %xmm10,%xmm2
  movapd %xmm9,%xmm1
  movapd %xmm9,%xmm3
  addpd  %xmm11,%xmm1
  subpd  %xmm11,%xmm3
  movapd %xmm12,%xmm4
  movapd %xmm12,%xmm6
  addpd  %xmm14,%xmm4
  subpd  %xmm14,%xmm6
  movapd %xmm13,%xmm5
  movapd %xmm13,%xmm7
  addpd  %xmm15,%xmm5
  subpd  %xmm15,%xmm7
  movapd %xmm0,%xmm8
  movapd %xmm0,%xmm12
  addpd  %xmm4,%xmm8
  subpd  %xmm4,%xmm12
  movapd %xmm1,%xmm9
  movapd %xmm1,%xmm13
  addpd  %xmm5,%xmm9
  subpd  %xmm5,%xmm13
  movapd %xmm2,%xmm10
  movapd %xmm2,%xmm14
  addpd  %xmm6,%xmm10
  subpd  %xmm6,%xmm14
  movapd %xmm3,%xmm11
  movapd %xmm3,%xmm15
  addpd  %xmm7,%xmm11
  subpd  %xmm7,%xmm15
  movupd %xmm8,(%rbx)
  movupd %xmm9,(%rax)
  movupd %xmm10,(%rdx)
  movupd %xmm11,(%rcx)
  movupd %xmm12,(%rsi)
  movupd %xmm13,(%rdi)
  movupd %xmm14,(%r8)
  movupd %xmm15,(%r9)
  add    $0x10,%rbx
  cmp    %rbx,%rbp
  jne    L3
  jmp    L52
```

assistant: ```c
void helper_double_18_recursive(double *buf, int depth) {
  if (depth == 12) {
    for (int j = 0; j < 4096; j += 16) {
      for (int k = 0; k < 2; k += 2) {
        __asm__ volatile("movupd (%0), %%xmm0\n"
                         "movupd (%1), %%xmm1\n"
                         "movupd (%2), %%xmm2\n"
                         "movupd (%3), %%xmm3\n"
                         "movupd (%4), %%xmm4\n"
                         "movupd (%5), %%xmm5\n"
                         "movupd (%6), %%xmm6\n"
                         "movupd (%7), %%xmm7\n"
                         "movapd %%xmm0, %%xmm8\n"
                         "haddpd %%xmm8, %%xmm8\n"
                         "movapd %%xmm0, %%xmm9\n"
                         "hsubpd %%xmm9, %%xmm9\n"
                         "blendpd $1, %%xmm8, %%xmm9\n"
                         "movapd %%xmm9, %%xmm0\n"
                         "movapd %%xmm1, %%xmm8\n"
                         "haddpd %%xmm8, %%xmm8\n"
                         "movapd %%xmm1, %%xmm9\n"
                         "hsubpd %%xmm9, %%xmm9\n"
                         "blendpd $1, %%xmm8, %%xmm9\n"
                         "movapd %%xmm9, %%xmm1\n"
                         "movapd %%xmm2, %%xmm8\n"
                         "haddpd %%xmm8, %%xmm8\n"
                         "movapd %%xmm2, %%xmm9\n"
                         "hsubpd %%xmm9, %%xmm9\n"
                         "blendpd $1, %%xmm8, %%xmm9\n"
                         "movapd %%xmm9, %%xmm2\n"
                         "movapd %%xmm3, %%xmm8\n"
                         "haddpd %%xmm8, %%xmm8\n"
                         "movapd %%xmm3, %%xmm9\n"
                         "hsubpd %%xmm9, %%xmm9\n"
                         "blendpd $1, %%xmm8, %%xmm9\n"
                         "movapd %%xmm9, %%xmm3\n"
                         "movapd %%xmm4, %%xmm8\n"
                         "haddpd %%xmm8, %%xmm8\n"
                         "movapd %%xmm4, %%xmm9\n"
                         "hsubpd %%xmm9, %%xmm9\n"
                         "blendpd $1, %%xmm8, %%xmm9\n"
                         "movapd %%xmm9, %%xmm4\n"
                         "movapd %%xmm5, %%xmm8\n"
                         "haddpd %%xmm8, %%xmm8\n"
                         "movapd %%xmm5, %%xmm9\n"
                         "hsubpd %%xmm9, %%xmm9\n"
                         "blendpd $1, %%xmm8, %%xmm9\n"
                         "movapd %%xmm9, %%xmm5\n"
                         "movapd %%xmm6, %%xmm8\n"
                         "haddpd %%xmm8, %%xmm8\n"
                         "movapd %%xmm6, %%xmm9\n"
                         "hsubpd %%xmm9, %%xmm9\n"
                         "blendpd $1, %%xmm8, %%xmm9\n"
                         "movapd %%xmm9, %%xmm6\n"
                         "movapd %%xmm7, %%xmm8\n"
                         "haddpd %%xmm8, %%xmm8\n"
                         "movapd %%xmm7, %%xmm9\n"
                         "hsubpd %%xmm9, %%xmm9\n"
                         "blendpd $1, %%xmm8, %%xmm9\n"
                         "movapd %%xmm9, %%xmm7\n"
                         "movapd %%xmm0, %%xmm8\n"
                         "movapd %%xmm0, %%xmm9\n"
                         "addpd %%xmm1, %%xmm8\n"
                         "subpd %%xmm1, %%xmm9\n"
                         "movapd %%xmm2, %%xmm10\n"
                         "movapd %%xmm2, %%xmm11\n"
                         "addpd %%xmm3, %%xmm10\n"
                         "subpd %%xmm3, %%xmm11\n"
                         "movapd %%xmm4, %%xmm12\n"
                         "movapd %%xmm4, %%xmm13\n"
                         "addpd %%xmm5, %%xmm12\n"
                         "subpd %%xmm5, %%xmm13\n"
                         "movapd %%xmm6, %%xmm14\n"
                         "movapd %%xmm6, %%xmm15\n"
                         "addpd %%xmm7, %%xmm14\n"
                         "subpd %%xmm7, %%xmm15\n"
                         "movapd %%xmm8, %%xmm0\n"
                         "movapd %%xmm8, %%xmm2\n"
                         "addpd %%xmm10, %%xmm0\n"
                         "subpd %%xmm10, %%xmm2\n"
                         "movapd %%xmm9, %%xmm1\n"
                         "movapd %%xmm9, %%xmm3\n"
                         "addpd %%xmm11, %%xmm1\n"
                         "subpd %%xmm11, %%xmm3\n"
                         "movapd %%xmm12, %%xmm4\n"
                         "movapd %%xmm12, %%xmm6\n"
                         "addpd %%xmm14, %%xmm4\n"
                         "subpd %%xmm14, %%xmm6\n"
                         "movapd %%xmm13, %%xmm5\n"
                         "movapd %%xmm13, %%xmm7\n"
                         "addpd %%xmm15, %%xmm5\n"
                         "subpd %%xmm15, %%xmm7\n"
                         "movapd %%xmm0, %%xmm8\n"
                         "movapd %%xmm0, %%xmm12\n"
                         "addpd %%xmm4, %%xmm8\n"
                         "subpd %%xmm4, %%xmm12\n"
                         "movapd %%xmm1, %%xmm9\n"
                         "movapd %%xmm1, %%xmm13\n"
                         "addpd %%xmm5, %%xmm9\n"
                         "subpd %%xmm5, %%xmm13\n"
                         "movapd %%xmm2, %%xmm10\n"
                         "movapd %%xmm2, %%xmm14\n"
                         "addpd %%xmm6, %%xmm10\n"
                         "subpd %%xmm6, %%xmm14\n"
                         "movapd %%xmm3, %%xmm11\n"
                         "movapd %%xmm3, %%xmm15\n"
                         "addpd %%xmm7, %%xmm11\n"
                         "subpd %%xmm7, %%xmm15\n"
                         "movupd %%xmm8, (%0)\n"
                         "movupd %%xmm9, (%1)\n"
                         "movupd %%xmm10, (%2)\n"
                         "movupd %%xmm11, (%3)\n"
                         "movupd %%xmm12, (%4)\n"
                         "movupd %%xmm13, (%5)\n"
                         "movupd %%xmm14, (%6)\n"
                         "movupd %%xmm15, (%7)\n" ::"r"(buf + j + k + 0),
                         "r"(buf + j + k + 2), "r"(buf + j + k + 4), "r"(buf + j + k + 6), "r"(buf + j + k + 8), "r"(buf + j + k + 10), "r"(buf + j + k + 12), "r"(buf + j + k + 14)
                         : "%xmm0", "%xmm1", "%xmm2", "%xmm3", "%xmm4", "%xmm5", "%xmm6", "%xmm7", "%xmm8", "%xmm9", "%xmm10", "%xmm11", "%xmm12", "%xmm13", "%xmm14", "%xmm15", "memory");
      }
    }
    for (int j = 0; j < 4096; j += 128) {
      for (int k = 0; k < 16; k += 2) {
        __asm__ volatile("movupd (%0), %%xmm0\n"
                         "movupd (%1), %%xmm1\n"
                         "movupd (%2), %%xmm2\n"
                         "movupd (%3), %%xmm3\n"
                         "movupd (%4), %%xmm4\n"
                         "movupd (%5), %%xmm5\n"
                         "movupd (%6), %%xmm6\n"
                         "movupd (%7), %%xmm7\n"
                         "movapd %%xmm0, %%xmm8\n"
                         "movapd %%xmm0, %%xmm9\n"
                         "addpd %%xmm1, %%xmm8\n"
                         "subpd %%xmm1, %%xmm9\n"
                         "movapd %%xmm2, %%xmm10\n"
                         "movapd %%xmm2, %%xmm11\n"
                         "addpd %%xmm3, %%xmm10\n"
                         "subpd %%xmm3, %%xmm11\n"
                         "movapd %%xmm4, %%xmm12\n"
                         "movapd %%xmm4, %%xmm13\n"
                         "addpd %%xmm5, %%xmm12\n"
                         "subpd %%xmm5, %%xmm13\n"
                         "movapd %%xmm6, %%xmm14\n"
                         "movapd %%xmm6, %%xmm15\n"
                         "addpd %%xmm7, %%xmm14\n"
                         "subpd %%xmm7, %%xmm15\n"
                         "movapd %%xmm8, %%xmm0\n"
                         "movapd %%xmm8, %%xmm2\n"
                         "addpd %%xmm10, %%xmm0\n"
                         "subpd %%xmm10, %%xmm2\n"
                         "movapd %%xmm9, %%xmm1\n"
                         "movapd %%xmm9, %%xmm3\n"
                         "addpd %%xmm11, %%xmm1\n"
                         "subpd %%xmm11, %%xmm3\n"
                         "movapd %%xmm12, %%xmm4\n"
                         "movapd %%xmm12, %%xmm6\n"
                         "addpd %%xmm14, %%xmm4\n"
                         "subpd %%xmm14, %%xmm6\n"
                         "movapd %%xmm13, %%xmm5\n"
                         "movapd %%xmm13, %%xmm7\n"
                         "addpd %%xmm15, %%xmm5\n"
                         "subpd %%xmm15, %%xmm7\n"
                         "movapd %%xmm0, %%xmm8\n"
                         "movapd %%xmm0, %%xmm12\n"
                         "addpd %%xmm4, %%xmm8\n"
                         "subpd %%xmm4, %%xmm12\n"
                         "movapd %%xmm1, %%xmm9\n"
                         "movapd %%xmm1, %%xmm13\n"
                         "addpd %%xmm5, %%xmm9\n"
                         "subpd %%xmm5, %%xmm13\n"
                         "movapd %%xmm2, %%xmm10\n"
                         "movapd %%xmm2, %%xmm14\n"
                         "addpd %%xmm6, %%xmm10\n"
                         "subpd %%xmm6, %%xmm14\n"
                         "movapd %%xmm3, %%xmm11\n"
                         "movapd %%xmm3, %%xmm15\n"
                         "addpd %%xmm7, %%xmm11\n"
                         "subpd %%xmm7, %%xmm15\n"
                         "movupd %%xmm8, (%0)\n"
                         "movupd %%xmm9, (%1)\n"
                         "movupd %%xmm10, (%2)\n"
                         "movupd %%xmm11, (%3)\n"
                         "movupd %%xmm12, (%4)\n"
                         "movupd %%xmm13, (%5)\n"
                         "movupd %%xmm14, (%6)\n"
                         "movupd %%xmm15, (%7)\n" ::"r"(buf + j + k + 0),
                         "r"(buf + j + k + 16), "r"(buf + j + k + 32), "r"(buf + j + k + 48), "r"(buf + j + k + 64), "r"(buf + j + k + 80), "r"(buf + j + k + 96), "r"(buf + j + k + 112)
                         : "%xmm0", "%xmm1", "%xmm2", "%xmm3", "%xmm4", "%xmm5", "%xmm6", "%xmm7", "%xmm8", "%xmm9", "%xmm10", "%xmm11", "%xmm12", "%xmm13", "%xmm14", "%xmm15", "memory");
      }
    }
    for (int j = 0; j < 4096; j += 1024) {
      for (int k = 0; k < 128; k += 2) {
        __asm__ volatile("movupd (%0), %%xmm0\n"
                         "movupd (%1), %%xmm1\n"
                         "movupd (%2), %%xmm2\n"
                         "movupd (%3), %%xmm3\n"
                         "movupd (%4), %%xmm4\n"
                         "movupd (%5), %%xmm5\n"
                         "movupd (%6), %%xmm6\n"
                         "movupd (%7), %%xmm7\n"
                         "movapd %%xmm0, %%xmm8\n"
                         "movapd %%xmm0, %%xmm9\n"
                         "addpd %%xmm1, %%xmm8\n"
                         "subpd %%xmm1, %%xmm9\n"
                         "movapd %%xmm2, %%xmm10\n"
                         "movapd %%xmm2, %%xmm11\n"
                         "addpd %%xmm3, %%xmm10\n"
                         "subpd %%xmm3, %%xmm11\n"
                         "movapd %%xmm4, %%xmm12\n"
                         "movapd %%xmm4, %%xmm13\n"
                         "addpd %%xmm5, %%xmm12\n"
                         "subpd %%xmm5, %%xmm13\n"
                         "movapd %%xmm6, %%xmm14\n"
                         "movapd %%xmm6, %%xmm15\n"
                         "addpd %%xmm7, %%xmm14\n"
                         "subpd %%xmm7, %%xmm15\n"
                         "movapd %%xmm8, %%xmm0\n"
                         "movapd %%xmm8, %%xmm2\n"
                         "addpd %%xmm10, %%xmm0\n"
                         "subpd %%xmm10, %%xmm2\n"
                         "movapd %%xmm9, %%xmm1\n"
                         "movapd %%xmm9, %%xmm3\n"
                         "addpd %%xmm11, %%xmm1\n"
                         "subpd %%xmm11, %%xmm3\n"
                         "movapd %%xmm12, %%xmm4\n"
                         "movapd %%xmm12, %%xmm6\n"
                         "addpd %%xmm14, %%xmm4\n"
                         "subpd %%xmm14, %%xmm6\n"
                         "movapd %%xmm13, %%xmm5\n"
                         "movapd %%xmm13, %%xmm7\n"
                         "addpd %%xmm15, %%xmm5\n"
                         "subpd %%xmm15, %%xmm7\n"
                         "movapd %%xmm0, %%xmm8\n"
                         "movapd %%xmm0, %%xmm12\n"
                         "addpd %%xmm4, %%xmm8\n"
                         "subpd %%xmm4, %%xmm12\n"
                         "movapd %%xmm1, %%xmm9\n"
                         "movapd %%xmm1, %%xmm13\n"
                         "addpd %%xmm5, %%xmm9\n"
                         "subpd %%xmm5, %%xmm13\n"
                         "movapd %%xmm2, %%xmm10\n"
                         "movapd %%xmm2, %%xmm14\n"
                         "addpd %%xmm6, %%xmm10\n"
                         "subpd %%xmm6, %%xmm14\n"
                         "movapd %%xmm3, %%xmm11\n"
                         "movapd %%xmm3, %%xmm15\n"
                         "addpd %%xmm7, %%xmm11\n"
                         "subpd %%xmm7, %%xmm15\n"
                         "movupd %%xmm8, (%0)\n"
                         "movupd %%xmm9, (%1)\n"
                         "movupd %%xmm10, (%2)\n"
                         "movupd %%xmm11, (%3)\n"
                         "movupd %%xmm12, (%4)\n"
                         "movupd %%xmm13, (%5)\n"
                         "movupd %%xmm14, (%6)\n"
                         "movupd %%xmm15, (%7)\n" ::"r"(buf + j + k + 0),
                         "r"(buf + j + k + 128), "r"(buf + j + k + 256), "r"(buf + j + k + 384), "r"(buf + j + k + 512), "r"(buf + j + k + 640), "r"(buf + j + k + 768), "r"(buf + j + k + 896)
                         : "%xmm0", "%xmm1", "%xmm2", "%xmm3", "%xmm4", "%xmm5", "%xmm6", "%xmm7", "%xmm8", "%xmm9", "%xmm10", "%xmm11", "%xmm12", "%xmm13", "%xmm14", "%xmm15", "memory");
      }
    }
    for (int j = 0; j < 4096; j += 4096) {
      for (int k = 0; k < 1024; k += 2) {
        __asm__ volatile("movupd (%0), %%xmm0\n"
                         "movupd (%1), %%xmm1\n"
                         "movupd (%2), %%xmm2\n"
                         "movupd (%3), %%xmm3\n"
                         "movapd %%xmm0, %%xmm8\n"
                         "movapd %%xmm0, %%xmm9\n"
                         "addpd %%xmm1, %%xmm8\n"
                         "subpd %%xmm1, %%xmm9\n"
                         "movapd %%xmm2, %%xmm10\n"
                         "movapd %%xmm2, %%xmm11\n"
                         "addpd %%xmm3, %%xmm10\n"
                         "subpd %%xmm3, %%xmm11\n"
                         "movapd %%xmm8, %%xmm0\n"
                         "movapd %%xmm8, %%xmm2\n"
                         "addpd %%xmm10, %%xmm0\n"
                         "subpd %%xmm10, %%xmm2\n"
                         "movapd %%xmm9, %%xmm1\n"
                         "movapd %%xmm9, %%xmm3\n"
                         "addpd %%xmm11, %%xmm1\n"
                         "subpd %%xmm11, %%xmm3\n"
                         "movupd %%xmm0, (%0)\n"
                         "movupd %%xmm1, (%1)\n"
                         "movupd %%xmm2, (%2)\n"
                         "movupd %%xmm3, (%3)\n" ::"r"(buf + j + k + 0),
                         "r"(buf + j + k + 1024), "r"(buf + j + k + 2048), "r"(buf + j + k + 3072)
                         : "%xmm0", "%xmm1", "%xmm2", "%xmm3", "%xmm4", "%xmm5", "%xmm6", "%xmm7", "%xmm8", "%xmm9", "%xmm10", "%xmm11", "%xmm12", "%xmm13", "%xmm14", "%xmm15", "memory");
      }
    }
    return;
  }
  if (depth == 15) {
    helper_double_18_recursive(buf + 0, 12);
    helper_double_18_recursive(buf + 4096, 12);
    helper_double_18_recursive(buf + 8192, 12);
    helper_double_18_recursive(buf + 12288, 12);
    helper_double_18_recursive(buf + 16384, 12);
    helper_double_18_recursive(buf + 20480, 12);
    helper_double_18_recursive(buf + 24576, 12);
    helper_double_18_recursive(buf + 28672, 12);
    for (int j = 0; j < 32768; j += 32768) {
      for (int k = 0; k < 4096; k += 2) {
        __asm__ volatile("movupd (%0), %%xmm0\n"
                         "movupd (%1), %%xmm1\n"
                         "movupd (%2), %%xmm2\n"
                         "movupd (%3), %%xmm3\n"
                         "movupd (%4), %%xmm4\n"
                         "movupd (%5), %%xmm5\n"
                         "movupd (%6), %%xmm6\n"
                         "movupd (%7), %%xmm7\n"
                         "movapd %%xmm0, %%xmm8\n"
                         "movapd %%xmm0, %%xmm9\n"
                         "addpd %%xmm1, %%xmm8\n"
                         "subpd %%xmm1, %%xmm9\n"
                         "movapd %%xmm2, %%xmm10\n"
                         "movapd %%xmm2, %%xmm11\n"
                         "addpd %%xmm3, %%xmm10\n"
                         "subpd %%xmm3, %%xmm11\n"
                         "movapd %%xmm4, %%xmm12\n"
                         "movapd %%xmm4, %%xmm13\n"
                         "addpd %%xmm5, %%xmm12\n"
                         "subpd %%xmm5, %%xmm13\n"
                         "movapd %%xmm6, %%xmm14\n"
                         "movapd %%xmm6, %%xmm15\n"
                         "addpd %%xmm7, %%xmm14\n"
                         "subpd %%xmm7, %%xmm15\n"
                         "movapd %%xmm8, %%xmm0\n"
                         "movapd %%xmm8, %%xmm2\n"
                         "addpd %%xmm10, %%xmm0\n"
                         "subpd %%xmm10, %%xmm2\n"
                         "movapd %%xmm9, %%xmm1\n"
                         "movapd %%xmm9, %%xmm3\n"
                         "addpd %%xmm11, %%xmm1\n"
                         "subpd %%xmm11, %%xmm3\n"
                         "movapd %%xmm12, %%xmm4\n"
                         "movapd %%xmm12, %%xmm6\n"
                         "addpd %%xmm14, %%xmm4\n"
                         "subpd %%xmm14, %%xmm6\n"
                         "movapd %%xmm13, %%xmm5\n"
                         "movapd %%xmm13, %%xmm7\n"
                         "addpd %%xmm15, %%xmm5\n"
                         "subpd %%xmm15, %%xmm7\n"
                         "movapd %%xmm0, %%xmm8\n"
                         "movapd %%xmm0, %%xmm12\n"
                         "addpd %%xmm4, %%xmm8\n"
                         "subpd %%xmm4, %%xmm12\n"
                         "movapd %%xmm1, %%xmm9\n"
                         "movapd %%xmm1, %%xmm13\n"
                         "addpd %%xmm5, %%xmm9\n"
                         "subpd %%xmm5, %%xmm13\n"
                         "movapd %%xmm2, %%xmm10\n"
                         "movapd %%xmm2, %%xmm14\n"
                         "addpd %%xmm6, %%xmm10\n"
                         "subpd %%xmm6, %%xmm14\n"
                         "movapd %%xmm3, %%xmm11\n"
                         "movapd %%xmm3, %%xmm15\n"
                         "addpd %%xmm7, %%xmm11\n"
                         "subpd %%xmm7, %%xmm15\n"
                         "movupd %%xmm8, (%0)\n"
                         "movupd %%xmm9, (%1)\n"
                         "movupd %%xmm10, (%2)\n"
                         "movupd %%xmm11, (%3)\n"
                         "movupd %%xmm12, (%4)\n"
                         "movupd %%xmm13, (%5)\n"
                         "movupd %%xmm14, (%6)\n"
                         "movupd %%xmm15, (%7)\n" ::"r"(buf + j + k + 0),
                         "r"(buf + j + k + 4096), "r"(buf + j + k + 8192), "r"(buf + j + k + 12288), "r"(buf + j + k + 16384), "r"(buf + j + k + 20480), "r"(buf + j + k + 24576), "r"(buf + j + k + 28672)
                         : "%xmm0", "%xmm1", "%xmm2", "%xmm3", "%xmm4", "%xmm5", "%xmm6", "%xmm7", "%xmm8", "%xmm9", "%xmm10", "%xmm11", "%xmm12", "%xmm13", "%xmm14", "%xmm15", "memory");
      }
    }
    return;
  }
  if (depth == 18) {
    helper_double_18_recursive(buf + 0, 15);
    helper_double_18_recursive(buf + 32768, 15);
    helper_double_18_recursive(buf + 65536, 15);
    helper_double_18_recursive(buf + 98304, 15);
    helper_double_18_recursive(buf + 131072, 15);
    helper_double_18_recursive(buf + 163840, 15);
    helper_double_18_recursive(buf + 196608, 15);
    helper_double_18_recursive(buf + 229376, 15);
    for (int j = 0; j < 262144; j += 262144) {
      for (int k = 0; k < 32768; k += 2) {
        __asm__ volatile("movupd (%0), %%xmm0\n"
                         "movupd (%1), %%xmm1\n"
                         "movupd (%2), %%xmm2\n"
                         "movupd (%3), %%xmm3\n"
                         "movupd (%4), %%xmm4\n"
                         "movupd (%5), %%xmm5\n"
                         "movupd (%6), %%xmm6\n"
                         "movupd (%7), %%xmm7\n"
                         "movapd %%xmm0, %%xmm8\n"
                         "movapd %%xmm0, %%xmm9\n"
                         "addpd %%xmm1, %%xmm8\n"
                         "subpd %%xmm1, %%xmm9\n"
                         "movapd %%xmm2, %%xmm10\n"
                         "movapd %%xmm2, %%xmm11\n"
                         "addpd %%xmm3, %%xmm10\n"
                         "subpd %%xmm3, %%xmm11\n"
                         "movapd %%xmm4, %%xmm12\n"
                         "movapd %%xmm4, %%xmm13\n"
                         "addpd %%xmm5, %%xmm12\n"
                         "subpd %%xmm5, %%xmm13\n"
                         "movapd %%xmm6, %%xmm14\n"
                         "movapd %%xmm6, %%xmm15\n"
                         "addpd %%xmm7, %%xmm14\n"
                         "subpd %%xmm7, %%xmm15\n"
                         "movapd %%xmm8, %%xmm0\n"
                         "movapd %%xmm8, %%xmm2\n"
                         "addpd %%xmm10, %%xmm0\n"
                         "subpd %%xmm10, %%xmm2\n"
                         "movapd %%xmm9, %%xmm1\n"
                         "movapd %%xmm9, %%xmm3\n"
                         "addpd %%xmm11, %%xmm1\n"
                         "subpd %%xmm11, %%xmm3\n"
                         "movapd %%xmm12, %%xmm4\n"
                         "movapd %%xmm12, %%xmm6\n"
                         "addpd %%xmm14, %%xmm4\n"
                         "subpd %%xmm14, %%xmm6\n"
                         "movapd %%xmm13, %%xmm5\n"
                         "movapd %%xmm13, %%xmm7\n"
                         "addpd %%xmm15, %%xmm5\n"
                         "subpd %%xmm15, %%xmm7\n"
                         "movapd %%xmm0, %%xmm8\n"
                         "movapd %%xmm0, %%xmm12\n"
                         "addpd %%xmm4, %%xmm8\n"
                         "subpd %%xmm4, %%xmm12\n"
                         "movapd %%xmm1, %%xmm9\n"
                         "movapd %%xmm1, %%xmm13\n"
                         "addpd %%xmm5, %%xmm9\n"
                         "subpd %%xmm5, %%xmm13\n"
                         "movapd %%xmm2, %%xmm10\n"
                         "movapd %%xmm2, %%xmm14\n"
                         "addpd %%xmm6, %%xmm10\n"
                         "subpd %%xmm6, %%xmm14\n"
                         "movapd %%xmm3, %%xmm11\n"
                         "movapd %%xmm3, %%xmm15\n"
                         "addpd %%xmm7, %%xmm11\n"
                         "subpd %%xmm7, %%xmm15\n"
                         "movupd %%xmm8, (%0)\n"
                         "movupd %%xmm9, (%1)\n"
                         "movupd %%xmm10, (%2)\n"
                         "movupd %%xmm11, (%3)\n"
                         "movupd %%xmm12, (%4)\n"
                         "movupd %%xmm13, (%5)\n"
                         "movupd %%xmm14, (%6)\n"
                         "movupd %%xmm15, (%7)\n" ::"r"(buf + j + k + 0),
                         "r"(buf + j + k + 32768), "r"(buf + j + k + 65536), "r"(buf + j + k + 98304), "r"(buf + j + k + 131072), "r"(buf + j + k + 163840), "r"(buf + j + k + 196608), "r"(buf + j + k + 229376)
                         : "%xmm0", "%xmm1", "%xmm2", "%xmm3", "%xmm4", "%xmm5", "%xmm6", "%xmm7", "%xmm8", "%xmm9", "%xmm10", "%xmm11", "%xmm12", "%xmm13", "%xmm14", "%xmm15", "memory");
      }
    }
    return;
  }
}
```