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

```asm
<determinant>:
  endbr64
  push   %rbp
  mov    %rsp,%rbp
  sub    $0xcd0,%rsp
  mov    %rdi,-0xcb8(%rbp)
  mov    %esi,-0xcbc(%rbp)
  mov    %fs:0x28,%rax
  mov    %rax,-0x8(%rbp)
  xor    %eax,%eax
  pxor   %xmm0,%xmm0
  movsd  %xmm0,-0xc98(%rbp)
  cmpl   $0x0,-0xcbc(%rbp)
  jle    L118
  cmpl   $0x1,-0xcbc(%rbp)
  jne    L53
  mov    -0xcb8(%rbp),%rax
  movsd  (%rax),%xmm0
  movsd  %xmm0,-0xc98(%rbp)
  jmp    L118
L53:
  cmpl   $0x2,-0xcbc(%rbp)
  jne    L159
  mov    -0xcb8(%rbp),%rax
  movsd  (%rax),%xmm1
  mov    -0xcb8(%rbp),%rax
  add    $0xa0,%rax
  movsd  0x8(%rax),%xmm0
  mulsd  %xmm1,%xmm0
  mov    -0xcb8(%rbp),%rax
  add    $0xa0,%rax
  movsd  (%rax),%xmm2
  mov    -0xcb8(%rbp),%rax
  movsd  0x8(%rax),%xmm1
  mulsd  %xmm2,%xmm1
  subsd  %xmm1,%xmm0
  movsd  %xmm0,-0xc98(%rbp)
  jmp    L118
L159:
  pxor   %xmm0,%xmm0
  movsd  %xmm0,-0xc98(%rbp)
  movl   $0x0,-0xca0(%rbp)
  jmp    L148
L18:
  movl   $0x0,-0xca8(%rbp)
  jmp    L13
L133:
  movl   $0x1,-0xca8(%rbp)
  jmp    L47
L87:
  movl   $0x0,-0xc9c(%rbp)
  movl   $0x0,-0xca4(%rbp)
  jmp    L57
L157:
  mov    -0xca4(%rbp),%eax
  cmp    -0xca0(%rbp),%eax
  je     L44
  mov    -0xca8(%rbp),%eax
  movslq %eax,%rdx
  mov    %rdx,%rax
  shl    $0x2,%rax
  add    %rdx,%rax
  shl    $0x5,%rax
  mov    %rax,%rdx
  mov    -0xcb8(%rbp),%rax
  add    %rax,%rdx
  mov    -0xca8(%rbp),%eax
  lea    -0x1(%rax),%ecx
  mov    -0xca4(%rbp),%eax
  cltq
  movsd  (%rdx,%rax,8),%xmm0
  mov    -0xc9c(%rbp),%eax
  movslq %eax,%rsi
  movslq %ecx,%rdx
  mov    %rdx,%rax
  shl    $0x2,%rax
  add    %rdx,%rax
  shl    $0x2,%rax
  add    %rsi,%rax
  movsd  %xmm0,-0xc90(%rbp,%rax,8)
  addl   $0x1,-0xc9c(%rbp)
  jmp    L158
L44:
  nop
L158:
  addl   $0x1,-0xca4(%rbp)
L57:
  mov    -0xca4(%rbp),%eax
  cmp    -0xcbc(%rbp),%eax
  jl     L157
  addl   $0x1,-0xca8(%rbp)
L47:
  mov    -0xca8(%rbp),%eax
  cmp    -0xcbc(%rbp),%eax
  jl     L87
  addl   $0x1,-0xca8(%rbp)
L13:
  mov    -0xcbc(%rbp),%eax
  sub    $0x1,%eax
  cmp    %eax,-0xca8(%rbp)
  jl     L133
  pxor   %xmm1,%xmm1
  cvtsi2sdl -0xca0(%rbp),%xmm1
  movsd  D10(%rip),%xmm0
  addsd  %xmm0,%xmm1
  movsd  D10(%rip),%xmm0
  addsd  %xmm1,%xmm0
  mov    D9(%rip),%rax
  movapd %xmm0,%xmm1
  movq   %rax,%xmm0
  call   <internal_pow@plt>
  mov    -0xcb8(%rbp),%rax
  mov    -0xca0(%rbp),%edx
  movslq %edx,%rdx
  movsd  (%rax,%rdx,8),%xmm1
  mulsd  %xmm1,%xmm0
  movsd  %xmm0,-0xcc8(%rbp)
  mov    -0xcbc(%rbp),%eax
  lea    -0x1(%rax),%edx
  lea    -0xc90(%rbp),%rax
  mov    %edx,%esi
  mov    %rax,%rdi
  call   <determinant>
  mulsd  -0xcc8(%rbp),%xmm0
  movsd  -0xc98(%rbp),%xmm1
  addsd  %xmm1,%xmm0
  movsd  %xmm0,-0xc98(%rbp)
  addl   $0x1,-0xca0(%rbp)
L148:
  mov    -0xca0(%rbp),%eax
  cmp    -0xcbc(%rbp),%eax
  jl     L18
L118:
  movsd  -0xc98(%rbp),%xmm0
  movq   %xmm0,%rax
  mov    -0x8(%rbp),%rdx
  sub    %fs:0x28,%rdx
  je     L67
  call   <__stack_chk_fail@plt>
L67:
  movq   %rax,%xmm0
  leave
  ret
```

tool_calls: name: extract_symbolic_data
arguments: data_label: D10
type: f64
name: extract_symbolic_data
arguments: data_label: D9
type: f32[2]

tool: D10: 1

tool: {"D9": [0.0,-1.875]}

assistant: ```c
double determinant(double a[20][20], int n) {
  int i, j, j1, j2;
  double det = 0;
  double m[20][20];
  if (n < 1) {
  } else if (n == 1) {
    det = a[0][0];
  } else if (n == 2) {
    det = a[0][0] * a[1][1] - a[1][0] * a[0][1];
  } else {
    det = 0;
    for (j1 = 0; j1 < n; j1++) {
      for (i = 0; i < n - 1; i++)
        for (i = 1; i < n; i++) {
          j2 = 0;
          for (j = 0; j < n; j++) {
            if (j == j1)
              continue;
            m[i - 1][j2] = a[i][j];
            j2++;
          }
        }
      det += internal_pow(-1.0, 1.0 + j1 + 1.0) * a[0][j1] * determinant(m, n - 1);
    }
  }
  return (det);
}
```