user: Converte this assembly snippet into its equivalent C code:

```asm
<stage_two>:
  endbr64
  push   %r15
  lea    -0x1(%rdx),%eax
  push   %r14
  push   %r13
  push   %r12
  push   %rbp
  push   %rbx
  sub    $0x78,%rsp
  mov    %rdi,0x38(%rsp)
  mov    %edx,0x4c(%rsp)
  mov    %r8,0x50(%rsp)
  mov    %r9,0x58(%rsp)
  test   %eax,%eax
  jle    L45
  movq   $0x0,0x20(%rsp)
  mov    %rcx,%r12
  mov    %edx,%ecx
  mov    $0x1,%edx
  sub    %ecx,%edx
  mov    %rsi,%r15
  movslq %eax,%rsi
  movslq %ecx,%rbp
  mov    %edx,0x68(%rsp)
  movslq %edx,%rdx
  mov    %rsi,0x18(%rsp)
  lea    0x0(,%rdx,8),%rsi
  mov    %eax,%edx
  imul   %eax,%edx
  mov    %rsi,0x60(%rsp)
  imul   %ecx,%eax
  movslq %edx,%rdx
  add    $0x1,%eax
  lea    (%rdi,%rdx,8),%rsi
  mov    %eax,0x34(%rsp)
  lea    0x0(,%rbp,8),%rax
  mov    %rax,0x10(%rsp)
  mov    %ecx,%eax
  imul   %ecx,%eax
  mov    %rsi,0x28(%rsp)
  mov    %eax,0x6c(%rsp)
  nopl   0x0(%rax,%rax,1)
L33:
  mov    0x18(%rsp),%rdx
  mov    0x4c(%rsp),%eax
  sub    %edx,%eax
  mov    %edx,0x48(%rsp)
  test   %eax,%eax
  jle    L30
  movslq 0x34(%rsp),%rax
  mov    0x38(%rsp),%rsi
  movq   $0x0,(%rsp)
  mov    %rax,0x40(%rsp)
  sub    %rbp,%rax
  lea    (%rsi,%rax,8),%r14
  mov    0x18(%rsp),%rax
  lea    -0x8(,%rax,8),%r13
  add    0x20(%rsp),%rax
  mov    %rax,%rbx
  shl    $0x3,%rbx
  xchg   %ax,%ax
L18:
  movsd  (%r14),%xmm0
  mulsd  (%r15,%r13,1),%xmm0
  mov    $0x2,%edi
  movsd  %xmm0,(%r14,%rbp,8)
  movsd  (%r12,%r13,1),%xmm1
  movsd  (%r15,%r13,1),%xmm0
  movsd  %xmm1,0x8(%rsp)
  call   <pow@plt>
  movsd  0x8(%rsp),%xmm1
  mov    0xb0(%rsp),%rax
  movapd %xmm0,%xmm2
  movsd  D16(%rip),%xmm3
  movsd  D16(%rip),%xmm0
  divsd  (%r14),%xmm0
  divsd  %xmm2,%xmm1
  divsd  (%rax,%r13,1),%xmm3
  addsd  %xmm3,%xmm0
  add    $0x8,%r13
  add    0x10(%rsp),%r14
  mulsd  %xmm1,%xmm0
  addsd  (%rsp),%xmm0
  movsd  %xmm0,(%rsp)
  cmp    %r13,%rbx
  jne    L18
  mov    0x20(%rsp),%rax
  mov    0x38(%rsp),%rdx
  mov    0x6c(%rsp),%r13d
  sub    0x48(%rsp),%r13d
  imul   %rbp,%rax
  add    0x40(%rsp),%rax
  lea    (%rdx,%rax,8),%rbx
L0:
  movsd  (%rbx),%xmm0
  mov    $0x2,%edi
  call   <pow@plt>
  mulsd  (%rsp),%xmm0
  mov    0x20(%rsp),%rax
  mov    0x28(%rsp),%rcx
  mov    0x50(%rsp),%rsi
  mov    0x58(%rsp),%rdx
  subq   $0x1,0x18(%rsp)
  movsd  %xmm0,0x8(%rsi,%rax,8)
  movsd  (%rbx),%xmm0
  subsd  (%rcx),%xmm0
  mov    0x60(%rsp),%rsi
  movsd  %xmm0,0x8(%rdx,%rax,8)
  add    $0x1,%rax
  add    %rsi,%rcx
  mov    0x68(%rsp),%edx
  mov    %rax,0x20(%rsp)
  mov    0x18(%rsp),%rax
  add    %edx,0x34(%rsp)
  mov    %rcx,0x28(%rsp)
  test   %eax,%eax
  jg     L33
L45:
  add    $0x78,%rsp
  pop    %rbx
  pop    %rbp
  pop    %r12
  pop    %r13
  pop    %r14
  pop    %r15
  ret
  nopw   0x0(%rax,%rax,1)
L30:
  mov    0x38(%rsp),%rsi
  movslq %r13d,%rax
  movq   $0x0,(%rsp)
  lea    (%rsi,%rax,8),%rbx
  jmp    L0
```

tool_calls: name: retrieve_data
arguments: tag: D16
type_infered: f32[2]

tool: {"D16": [0.0,1.875]}

assistant: ```c
void stage_two(double *vec, double *fact, int p, double *sigmas, double *mseR, double *res, double *ECik) {
  int i, j, k;
  double mse_cum;
  for (i = p - 1; i > 0; --i) {
    mse_cum = 0.;
    for (j = 0; j < p - i; ++j) {
      k = p * i + (p - i) + j * p;
      vec[k] = vec[k - p] * fact[i + j - 1];
      mse_cum += (sigmas[i + j - 1] / pow(fact[i + j - 1], 2)) * ((1 / vec[k - p]) + (1 / ECik[i + j - 1]));
    }
    mseR[p - i] = pow(vec[k], 2) * mse_cum;
    res[p - i] = vec[k] - vec[p * i - i];
  }
}
```