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

```asm
<newton_nle_ad>:
  endbr64
  push   %r15
  mov    $0x10,%edi
  push   %r14
  xor    %r14d,%r14d
  push   %r13
  push   %r12
  push   %rbp
  push   %rbx
  sub    $0x28,%rsp
  call   <malloc@plt>
  mov    $0x10,%edi
  mov    %rax,%r15
  call   <malloc@plt>
  mov    $0x10,%edi
  mov    %rax,%r13
  call   <malloc@plt>
  mov    $0x20,%edi
  mov    %rax,%rbx
  call   <malloc@plt>
  mov    $0x8,%edi
  mov    %rax,%rbp
  call   <malloc@plt>
  mov    $0x2,%esi
  mov    %rbx,%rdi
  mov    %rax,%r12
  mov    D52(%rip),%rax
  mov    %rax,(%r15)
  mov    D4(%rip),%rax
  mov    %rax,0x8(%r15)
  mov    D103(%rip),%rax
  mov    %rax,(%rbx)
  mov    D104(%rip),%rax
  mov    %rax,0x8(%rbx)
  xor    %eax,%eax
  call   <array_max_abs@plt>
  test   %eax,%eax
  lea    D37(%rip),%rax
  mov    %rax,0x18(%rsp)
  jg     L17
  jmp    L24
  nopl   0x0(%rax)
L19:
  cmp    $0x64,%r14d
  je     L24
L17:
  movsd  0x8(%r15),%xmm2
  movsd  (%r15),%xmm1
  add    $0x1,%r14d
  mov    D46(%rip),%rax
  movapd %xmm2,%xmm3
  movapd %xmm1,%xmm0
  movsd  %xmm2,0x10(%rsp)
  mulsd  %xmm2,%xmm3
  mulsd  %xmm1,%xmm0
  subsd  D43(%rip),%xmm1
  movsd  %xmm3,0x8(%rsp)
  addsd  %xmm3,%xmm0
  subsd  D52(%rip),%xmm0
  movsd  %xmm0,(%rbx)
  movq   %rax,%xmm0
  call   <pow@plt>
  movsd  0x8(%rsp),%xmm3
  mov    %rbx,%rdi
  xor    %eax,%eax
  movsd  0x10(%rsp),%xmm2
  mov    $0x2,%esi
  mulsd  %xmm3,%xmm2
  addsd  %xmm0,%xmm2
  subsd  D52(%rip),%xmm2
  movsd  %xmm2,0x8(%rbx)
  call   <array_max_abs@plt>
  movsd  (%r15),%xmm1
  movsd  0x8(%r15),%xmm2
  mov    %eax,0x10(%rsp)
  mov    D46(%rip),%rax
  movapd %xmm1,%xmm0
  movsd  %xmm2,0x8(%rsp)
  addsd  %xmm1,%xmm0
  subsd  D43(%rip),%xmm1
  movsd  %xmm0,0x0(%rbp)
  movapd %xmm2,%xmm0
  addsd  %xmm2,%xmm0
  movsd  %xmm0,0x8(%rbp)
  movq   %rax,%xmm0
  call   <pow@plt>
  movsd  0x8(%rsp),%xmm2
  mov    %r12,%rdx
  xor    %eax,%eax
  movsd  %xmm0,0x10(%rbp)
  movsd  D4(%rip),%xmm0
  mov    $0x2,%esi
  mov    %rbp,%rdi
  mulsd  %xmm2,%xmm0
  mulsd  %xmm2,%xmm0
  movsd  %xmm0,0x18(%rbp)
  call   <ludecomp@plt>
  mov    %r13,%r8
  mov    %r12,%rcx
  mov    %rbx,%rdx
  mov    $0x2,%esi
  mov    %rbp,%rdi
  xor    %eax,%eax
  call   <linsolve@plt>
  mov    $0x2,%r8d
  mov    %r15,%rdx
  xor    %eax,%eax
  mov    $0x2,%ecx
  mov    %r13,%rsi
  mov    %r15,%rdi
  call   <msub@plt>
  movsd  0x8(%r15),%xmm1
  movsd  (%r15),%xmm0
  mov    %r14d,%esi
  mov    0x18(%rsp),%rdi
  mov    $0x2,%eax
  call   <printf@plt>
  mov    0x10(%rsp),%r10d
  test   %r10d,%r10d
  jg     L19
L24:
  movsd  0x8(%r15),%xmm1
  movsd  (%r15),%xmm0
  mov    %r14d,%esi
  mov    $0x2,%eax
  mov    0x18(%rsp),%rdi
  call   <printf@plt>
  mov    %r15,%rdi
  call   <free@plt>
  mov    %r13,%rdi
  call   <free@plt>
  mov    %rbx,%rdi
  call   <free@plt>
  mov    %rbp,%rdi
  call   <free@plt>
  add    $0x28,%rsp
  mov    %r12,%rdi
  pop    %rbx
  pop    %rbp
  pop    %r12
  pop    %r13
  pop    %r14
  pop    %r15
  jmp    10c0 <free@plt>
```

tool_calls: name: retrieve_data
arguments: tag: D52
datatype: f64
name: retrieve_data
arguments: tag: D4
datatype: byte[8]
name: retrieve_data
arguments: tag: D103
datatype: byte[8]
name: retrieve_data
arguments: tag: D104
datatype: byte[8]
name: retrieve_data
arguments: tag: D37
datatype: string
name: retrieve_data
arguments: tag: D46
datatype: f64
name: retrieve_data
arguments: tag: D43
datatype: f64

tool: D52: 2

tool: {"D4": [0x00,0x00,0x00,0x00,0x00,0x00,0x08,0x40]}

tool: {"D103": [0x00,0x00,0x00,0x00,0x00,0x00,0x26,0x40]}

tool: {"D104": [0xed,0x8a,0x62,0x51,0xe1,0xb7,0x3b,0x40]}

tool: D37: Method 1 : Values obtained %lf , %lf after %d Iterations 


tool: D46: 2.718281828459045

tool: D43: 1

assistant: ```c
void newton_nle_ad() {
  int N, it;
  double *x, *xi, *f, *J;
  double stop;
  int *p;
  N = 2;
  it = 0;
  x = (double *)malloc(sizeof(double) * N);
  xi = (double *)malloc(sizeof(double) * N);
  f = (double *)malloc(sizeof(double) * N);
  J = (double *)malloc(sizeof(double) * N * N);
  p = (int *)malloc(sizeof(int) * N);
  x[0] = 2;
  x[1] = 3;
  f[0] = x[0] * x[0] + x[1] * x[1] - 2.0;
  f[1] = pow((double)2.7182818284590452353602874713526624977572, x[0] - 1.0) + x[1] * x[1] * x[1] - 2.0;
  stop = array_max_abs(f, N);
  while (stop >= 1e-06 && it < 100) {
    f[0] = x[0] * x[0] + x[1] * x[1] - 2.0;
    f[1] = pow((double)2.7182818284590452353602874713526624977572, x[0] - 1.0) + x[1] * x[1] * x[1] - 2.0;
    stop = array_max_abs(f, N);
    J[0] = 2 * x[0];
    J[1] = 2 * x[1];
    J[2] = pow((double)2.7182818284590452353602874713526624977572, x[0] - 1.0);
    J[3] = 3 * x[1] * x[1];
    ludecomp(J, N, p);
    linsolve(J, N, f, p, xi);
    msub(x, xi, x, N, N);
    it++;
    printf("Method 1 : Values obtained %lf , %lf after %d Iterations \n", x[0], x[1], it);
  }
  printf("Method 1 : Values obtained %lf , %lf after %d Iterations \n", x[0], x[1], it);
  free(x);
  free(xi);
  free(f);
  free(J);
  free(p);
}
```