user: Please show me the C implementation that matches the assembly code listed below:

```asm
<simpsons>:
  endbr64
  push   %r15
  movapd %xmm1,%xmm3
  movq   %xmm1,%r15
  push   %r14
  subsd  %xmm0,%xmm3
  push   %r13
  push   %r12
  lea    D48(%rip),%r12
  push   %rbp
  mov    $0x1,%ebp
  push   %rbx
  mov    %rdi,%rbx
  lea    D53(%rip),%rdi
  sub    $0x38,%rsp
  movsd  %xmm3,(%rsp)
  movsd  %xmm0,0x8(%rsp)
  movsd  %xmm2,0x28(%rsp)
  call   <puts@plt>
  movsd  D46(%rip),%xmm3
  movq   %xmm3,%r14
  pxor   %xmm3,%xmm3
  movsd  %xmm3,0x20(%rsp)
  nopw   0x0(%rax,%rax,1)
L5:
  movsd  0x8(%rsp),%xmm0
  mov    $0x1,%r13d
  call   *%rbx
  movsd  %xmm0,0x10(%rsp)
  movq   %r15,%xmm0
  call   *%rbx
  movsd  0x10(%rsp),%xmm1
  movsd  (%rsp),%xmm3
  divsd  D52(%rip),%xmm3
  movsd  %xmm3,(%rsp)
  addsd  %xmm0,%xmm1
  pxor   %xmm0,%xmm0
  cvtsi2sd %r13d,%xmm0
  jmp    L18
  nopw   0x0(%rax,%rax,1)
L57:
  call   *%rbx
  movsd  0x10(%rsp),%xmm1
  addsd  %xmm0,%xmm0
  addsd  %xmm0,%xmm1
L41:
  add    $0x1,%r13d
  pxor   %xmm0,%xmm0
  movsd  (%rsp),%xmm2
  movq   %r15,%xmm7
  cvtsi2sd %r13d,%xmm0
  mulsd  %xmm0,%xmm2
  addsd  0x8(%rsp),%xmm2
  comisd %xmm2,%xmm7
  jbe    L25
L18:
  mulsd  (%rsp),%xmm0
  movsd  %xmm1,0x10(%rsp)
  addsd  0x8(%rsp),%xmm0
  test   $0x1,%r13b
  je     L57
  call   *%rbx
  mulsd  D12(%rip),%xmm0
  movsd  0x10(%rsp),%xmm1
  addsd  %xmm0,%xmm1
  jmp    L41
  nopl   0x0(%rax)
L25:
  mulsd  (%rsp),%xmm1
  mov    $0x1,%eax
  divsd  D52(%rip),%xmm1
  movapd %xmm1,%xmm2
  subsd  0x20(%rsp),%xmm2
  movsd  %xmm1,0x18(%rsp)
  movapd %xmm2,%xmm0
  movsd  %xmm2,0x10(%rsp)
  call   <abslt@plt>
  pxor   %xmm0,%xmm0
  cvtsi2sd %eax,%xmm0
  call   <log@plt>
  movq   %xmm0,%r13
  movq   %r14,%xmm0
  call   <log@plt>
  movq   %r13,%xmm4
  mov    $0x1,%eax
  lea    0x1(%rbp),%r13d
  divsd  %xmm0,%xmm4
  movapd %xmm4,%xmm0
  call   <abslt@plt>
  movsd  0x10(%rsp),%xmm2
  mov    %eax,%r14d
  mov    $0x1,%eax
  movapd %xmm2,%xmm0
  call   <abslt@plt>
  movsd  0x18(%rsp),%xmm1
  mov    %r14d,%ecx
  mov    %ebp,%esi
  movsd  (%rsp),%xmm0
  mov    %eax,%edx
  mov    %r12,%rdi
  mov    $0x2,%eax
  call   <printf@plt>
  movsd  0x10(%rsp),%xmm2
  mov    $0x1,%eax
  movapd %xmm2,%xmm0
  call   <abslt@plt>
  pxor   %xmm3,%xmm3
  movsd  0x10(%rsp),%xmm2
  cvtsi2sd %eax,%xmm3
  mov    $0x1,%eax
  movapd %xmm2,%xmm0
  movq   %xmm3,%r14
  call   <abslt@plt>
  pxor   %xmm0,%xmm0
  movsd  0x18(%rsp),%xmm1
  cvtsi2sd %eax,%xmm0
  comisd 0x28(%rsp),%xmm0
  jbe    L53
  mov    %r13d,%ebp
  movsd  %xmm1,0x20(%rsp)
  jmp    L5
  nop
L53:
  add    $0x38,%rsp
  movapd %xmm1,%xmm0
  pop    %rbx
  pop    %rbp
  pop    %r12
  pop    %r13
  pop    %r14
  pop    %r15
  ret
```

tool_calls: name: extract_symbolic_data
arguments: label: D48
datatype: string
name: extract_symbolic_data
arguments: label: D53
datatype: string
name: extract_symbolic_data
arguments: label: D46
datatype: byte[8]
name: extract_symbolic_data
arguments: label: D52
datatype: f32[2]
name: extract_symbolic_data
arguments: label: D12
datatype: f32[2]

tool: D48: %02d	%+09g	%+09g	%+09g	%+09g


tool: D53: SIMPSON ONE-THIRD METHOD:

i	|dx|		I(dx)		|ei|		|log(ei)/log(e(i-1))|

tool: {"D46": [0x69,0x57,0x14,0x8b,0x0a,0xbf,0x05,0x40]}

tool: {"D52": [0.0,2.125]}

tool: {"D12": [0.0,2.25]}

assistant: ```c
double simpsons(double a, double b, double accuracy, double (*f)(double x)) {
  double integraln = 0, integralnminus1, interval = b - a, ei = exp(1);
  int i = 1, j;
  printf("SIMPSON ONE-THIRD METHOD:\n\ni\t|dx|\t\tI(dx)\t\t|ei|\t\t|log(ei)/log(e(i-1))|\n");
  do {
    integralnminus1 = integraln;
    integraln = f(a) + f(b);
    interval /= 3;
    j = 1;
    do {
      if (j % 2 == 0)
        integraln += 2 * f(a + j * interval);
      else
        integraln += 4 * f(a + j * interval);
    } while (a + (++j) * interval < b);
    integraln = interval * integraln / 3;
    printf("%02d\t%+09g\t%+09g\t%+09g\t%+09g\n", i++, interval, integraln, abslt(integraln - integralnminus1), abslt(log(abslt(integraln - integralnminus1)) / log(ei)));
    ei = abslt(integraln - integralnminus1);
  } while (abslt(integraln - integralnminus1) > accuracy);
  return integraln;
}
```