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

```asm
<deriv1>:
  endbr64
  push   %rbp
  mov    %rsp,%rbp
  push   %rbx
  sub    $0xa8,%rsp
  mov    %rdi,-0x88(%rbp)
  mov    %esi,-0x8c(%rbp)
  mov    %edx,-0x90(%rbp)
  movsd  %xmm0,-0x98(%rbp)
  mov    %fs:0x28,%rax
  mov    %rax,-0x18(%rbp)
  xor    %eax,%eax
  pxor   %xmm0,%xmm0
  movsd  %xmm0,-0x78(%rbp)
  cmpl   $0x3,-0x90(%rbp)
  je     L30
  cmpl   $0x3,-0x90(%rbp)
  jg     L106
  cmpl   $0x1,-0x90(%rbp)
  je     L47
  cmpl   $0x2,-0x90(%rbp)
  je     L67
  jmp    L106
L47:
  mov    %rsp,%rax
  mov    %rax,%rbx
  mov    -0x8c(%rbp),%eax
  sub    $0x1,%eax
  mov    %eax,-0x7c(%rbp)
  mov    -0x7c(%rbp),%eax
  movslq %eax,%rdx
  sub    $0x1,%rdx
  mov    %rdx,-0x28(%rbp)
  movslq %eax,%rdx
  mov    %rdx,%r10
  mov    $0x0,%r11d
  movslq %eax,%rdx
  mov    %rdx,%r8
  mov    $0x0,%r9d
  cltq
  lea    0x0(,%rax,8),%rdx
  mov    $0x10,%eax
  sub    $0x1,%rax
  add    %rdx,%rax
  mov    $0x10,%esi
  mov    $0x0,%edx
  div    %rsi
  imul   $0x10,%rax,%rax
  mov    %rax,%rcx
  and    $0xfffffffffffff000,%rcx
  mov    %rsp,%rdx
  sub    %rcx,%rdx
L132:
  cmp    %rdx,%rsp
  je     L16
  sub    $0x1000,%rsp
  orq    $0x0,0xff8(%rsp)
  jmp    L132
L16:
  mov    %rax,%rdx
  and    $0xfff,%edx
  sub    %rdx,%rsp
  mov    %rax,%rdx
  and    $0xfff,%edx
  test   %rdx,%rdx
  je     L127
  and    $0xfff,%eax
  sub    $0x8,%rax
  add    %rsp,%rax
  orq    $0x0,(%rax)
L127:
  mov    %rsp,%rax
  add    $0x7,%rax
  shr    $0x3,%rax
  shl    $0x3,%rax
  mov    %rax,-0x20(%rbp)
  movl   $0x0,-0x80(%rbp)
  jmp    L14
L124:
  mov    -0x80(%rbp),%eax
  cltq
  add    $0x1,%rax
  lea    0x0(,%rax,8),%rdx
  mov    -0x88(%rbp),%rax
  add    %rdx,%rax
  movsd  (%rax),%xmm1
  mov    -0x80(%rbp),%eax
  add    $0x1,%eax
  pxor   %xmm0,%xmm0
  cvtsi2sd %eax,%xmm0
  mulsd  %xmm1,%xmm0
  mov    -0x20(%rbp),%rax
  mov    -0x80(%rbp),%edx
  movslq %edx,%rdx
  movsd  %xmm0,(%rax,%rdx,8)
  addl   $0x1,-0x80(%rbp)
L14:
  mov    -0x80(%rbp),%eax
  cmp    -0x7c(%rbp),%eax
  jle    L124
  movl   $0x0,-0x80(%rbp)
  jmp    L121
L85:
  mov    -0x20(%rbp),%rax
  mov    -0x80(%rbp),%edx
  movslq %edx,%rdx
  movsd  (%rax,%rdx,8),%xmm4
  movsd  %xmm4,-0xa0(%rbp)
  pxor   %xmm0,%xmm0
  cvtsi2sdl -0x80(%rbp),%xmm0
  mov    -0x98(%rbp),%rax
  movapd %xmm0,%xmm1
  movq   %rax,%xmm0
  call   <pow@plt>
  mulsd  -0xa0(%rbp),%xmm0
  movsd  -0x78(%rbp),%xmm1
  addsd  %xmm1,%xmm0
  movsd  %xmm0,-0x78(%rbp)
  addl   $0x1,-0x80(%rbp)
L121:
  mov    -0x80(%rbp),%eax
  cmp    -0x7c(%rbp),%eax
  jle    L85
  nop
  mov    %rbx,%rsp
  jmp    L106
L67:
  mov    -0x88(%rbp),%rax
  movsd  (%rax),%xmm0
  movsd  %xmm0,-0x40(%rbp)
  mov    -0x88(%rbp),%rax
  movsd  0x8(%rax),%xmm0
  movsd  %xmm0,-0x38(%rbp)
  mov    -0x88(%rbp),%rax
  movsd  0x10(%rax),%xmm0
  movsd  %xmm0,-0x30(%rbp)
  movsd  -0x98(%rbp),%xmm0
  mov    D8(%rip),%rax
  movapd %xmm0,%xmm1
  movq   %rax,%xmm0
  call   <pow@plt>
  movq   %xmm0,%rax
  movq   %rax,%xmm3
  mulsd  -0x40(%rbp),%xmm3
  movsd  %xmm3,-0xa0(%rbp)
  movsd  -0x38(%rbp),%xmm0
  mulsd  -0x30(%rbp),%xmm0
  movsd  %xmm0,-0xa8(%rbp)
  movsd  -0x30(%rbp),%xmm0
  movsd  D2(%rip),%xmm1
  subsd  %xmm1,%xmm0
  mov    -0x98(%rbp),%rax
  movapd %xmm0,%xmm1
  movq   %rax,%xmm0
  call   <pow@plt>
  mulsd  -0xa8(%rbp),%xmm0
  addsd  -0xa0(%rbp),%xmm0
  movsd  %xmm0,-0x78(%rbp)
  jmp    L106
L30:
  mov    -0x88(%rbp),%rax
  movsd  (%rax),%xmm0
  movsd  %xmm0,-0x70(%rbp)
  mov    -0x88(%rbp),%rax
  movsd  0x8(%rax),%xmm0
  movsd  %xmm0,-0x68(%rbp)
  mov    -0x88(%rbp),%rax
  movsd  0x10(%rax),%xmm0
  movsd  %xmm0,-0x60(%rbp)
  mov    -0x88(%rbp),%rax
  movsd  0x18(%rax),%xmm0
  movsd  %xmm0,-0x58(%rbp)
  mov    -0x88(%rbp),%rax
  movsd  0x20(%rax),%xmm0
  movsd  %xmm0,-0x50(%rbp)
  mov    -0x88(%rbp),%rax
  movsd  0x28(%rax),%xmm0
  movsd  %xmm0,-0x48(%rbp)
  movsd  -0x70(%rbp),%xmm0
  mulsd  -0x68(%rbp),%xmm0
  movsd  %xmm0,-0xa0(%rbp)
  movsd  -0x50(%rbp),%xmm0
  mulsd  -0x98(%rbp),%xmm0
  movapd %xmm0,%xmm6
  addsd  -0x48(%rbp),%xmm6
  movq   %xmm6,%rax
  movq   %rax,%xmm0
  call   <cos@plt>
  mulsd  -0xa0(%rbp),%xmm0
  movsd  %xmm0,-0xa0(%rbp)
  movsd  -0x58(%rbp),%xmm0
  movapd %xmm0,%xmm2
  mulsd  -0x50(%rbp),%xmm2
  movsd  %xmm2,-0xa8(%rbp)
  movsd  -0x68(%rbp),%xmm0
  mulsd  -0x98(%rbp),%xmm0
  movapd %xmm0,%xmm7
  addsd  -0x60(%rbp),%xmm7
  movq   %xmm7,%rax
  movq   %rax,%xmm0
  call   <sin@plt>
  movsd  -0xa8(%rbp),%xmm1
  mulsd  %xmm0,%xmm1
  movsd  -0xa0(%rbp),%xmm0
  subsd  %xmm1,%xmm0
  movsd  %xmm0,-0x78(%rbp)
  nop
L106:
  movsd  -0x78(%rbp),%xmm0
  movq   %xmm0,%rax
  mov    -0x18(%rbp),%rdx
  sub    %fs:0x28,%rdx
  je     L23
  call   <__stack_chk_fail@plt>
L23:
  movq   %rax,%xmm0
  mov    -0x8(%rbp),%rbx
  leave
  ret
```

tool_calls: name: extract_symbolic_data
arguments: data_tag: D8
type_guessed: f64
name: extract_symbolic_data
arguments: data_tag: D2
type_guessed: f64

tool: D8: 2.7182818284

tool: D2: 1

assistant: ```c
double deriv1(double *param, int dimension, int functiontype, double x) {
  int i;
  double first_derivate = 0;
  switch (functiontype) {
  case 1: {
    int len = (dimension - 1);
    double D[len];
    for (i = 0; i <= len; i++) {
      D[i] = param[i + 1] * (i + 1);
    }
    for (i = 0; i <= len; i++) {
      first_derivate += D[i] * (pow(x, i));
    }
    break;
  }
  case 2: {
    double a = param[0];
    double b = param[1];
    double n = param[2];
    first_derivate = (a * (pow(2.7182818284, x)) + b * n * (pow(x, (n - 1))));
    break;
  }
  case 3: {
    double A = param[0];
    double m = param[1];
    double t = param[2];
    double B = param[3];
    double n = param[4];
    double p = param[5];
    first_derivate = A * m * (cos(n * x + p)) - B * n * (sin(m * x + t));
    break;
  }
  }
  return first_derivate;
}
```