user: What is the c source code of the assembly code below:

```asm
<newton_nle_ad>:
  endbr64
  push   %r15
  push   %r14
  push   %r13
  push   %r12
  push   %rbp
  push   %rbx
  sub    $0x18,%rsp
  mov    $0x10,%edi
  call   <malloc@plt>
  mov    %rax,%rbp
  mov    $0x10,%edi
  call   <malloc@plt>
  mov    %rax,%rbx
  mov    $0x10,%edi
  call   <malloc@plt>
  mov    %rax,%r13
  mov    $0x20,%edi
  call   <malloc@plt>
  mov    %rax,%r12
  mov    $0x8,%edi
  call   <malloc@plt>
  mov    %rax,%r15
  mov    D98(%rip),%rax
  mov    %rax,0x0(%rbp)
  mov    D102(%rip),%rax
  mov    %rax,0x8(%rbp)
  mov    D46(%rip),%rax
  mov    %rax,0x0(%r13)
  mov    D47(%rip),%rax
  mov    %rax,0x8(%r13)
  mov    $0x2,%esi
  mov    %r13,%rdi
  mov    $0x0,%eax
  call   <array_max_abs@plt>
  test   %eax,%eax
  jle    L26
  mov    $0x0,%r14d
L23:
  movsd  0x0(%rbp),%xmm1
  movsd  0x8(%rbp),%xmm2
  movsd  %xmm2,(%rsp)
  mulsd  %xmm2,%xmm2
  movapd %xmm1,%xmm5
  mulsd  %xmm1,%xmm5
  movapd %xmm5,%xmm0
  movsd  %xmm2,0x8(%rsp)
  addsd  %xmm2,%xmm0
  subsd  D98(%rip),%xmm0
  movsd  %xmm0,0x0(%r13)
  subsd  D0(%rip),%xmm1
  mov    D50(%rip),%rax
  movq   %rax,%xmm0
  call   <pow@plt>
  movapd %xmm0,%xmm1
  movsd  (%rsp),%xmm0
  mulsd  0x8(%rsp),%xmm0
  addsd  %xmm1,%xmm0
  subsd  D98(%rip),%xmm0
  movsd  %xmm0,0x8(%r13)
  mov    $0x2,%esi
  mov    %r13,%rdi
  mov    $0x0,%eax
  call   <array_max_abs@plt>
  mov    %eax,0x8(%rsp)
  movsd  0x0(%rbp),%xmm1
  movapd %xmm1,%xmm0
  addsd  %xmm1,%xmm0
  movsd  %xmm0,(%r12)
  movsd  0x8(%rbp),%xmm0
  movsd  %xmm0,(%rsp)
  addsd  %xmm0,%xmm0
  movsd  %xmm0,0x8(%r12)
  subsd  D0(%rip),%xmm1
  mov    D50(%rip),%rcx
  movq   %rcx,%xmm0
  call   <pow@plt>
  movsd  %xmm0,0x10(%r12)
  movsd  D102(%rip),%xmm0
  movsd  (%rsp),%xmm4
  mulsd  %xmm4,%xmm0
  mulsd  %xmm4,%xmm0
  movsd  %xmm0,0x18(%r12)
  mov    %r15,%rdx
  mov    $0x2,%esi
  mov    %r12,%rdi
  mov    $0x0,%eax
  call   <ludecomp@plt>
  mov    %rbx,%r8
  mov    %r15,%rcx
  mov    %r13,%rdx
  mov    $0x2,%esi
  mov    %r12,%rdi
  mov    $0x0,%eax
  call   <linsolve@plt>
  mov    $0x2,%r8d
  mov    $0x2,%ecx
  mov    %rbp,%rdx
  mov    %rbx,%rsi
  mov    %rbp,%rdi
  mov    $0x0,%eax
  call   <msub@plt>
  add    $0x1,%r14d
  mov    %r14d,%esi
  movsd  0x8(%rbp),%xmm1
  movsd  0x0(%rbp),%xmm0
  lea    D68(%rip),%rdi
  mov    $0x2,%eax
  call   <printf@plt>
  cmp    $0x63,%r14d
  jg     L14
  cmpl   $0x0,0x8(%rsp)
  jg     L23
L14:
  mov    %r14d,%esi
  movsd  0x8(%rbp),%xmm1
  movsd  0x0(%rbp),%xmm0
  lea    D68(%rip),%rdi
  mov    $0x2,%eax
  call   <printf@plt>
  mov    %rbp,%rdi
  call   <free@plt>
  mov    %rbx,%rdi
  call   <free@plt>
  mov    %r13,%rdi
  call   <free@plt>
  mov    %r12,%rdi
  call   <free@plt>
  mov    %r15,%rdi
  call   <free@plt>
  add    $0x18,%rsp
  pop    %rbx
  pop    %rbp
  pop    %r12
  pop    %r13
  pop    %r14
  pop    %r15
  ret
L26:
  mov    $0x0,%r14d
  jmp    L14
```

tool_calls: name: retrieve_data
arguments: data_label: D98
datatype: f64
name: retrieve_data
arguments: data_label: D102
datatype: byte[8]
name: retrieve_data
arguments: data_label: D46
datatype: byte[8]
name: retrieve_data
arguments: data_label: D47
datatype: byte[8]
name: retrieve_data
arguments: data_label: D0
datatype: f64
name: retrieve_data
arguments: data_label: D50
datatype: f64
name: retrieve_data
arguments: data_label: D68
datatype: string

tool: D98: 2

tool: {"D102": [0x00,0x00,0x00,0x00,0x00,0x00,0x08,0x40]}

tool: {"D46": [0x00,0x00,0x00,0x00,0x00,0x00,0x26,0x40]}

tool: {"D47": [0xed,0x8a,0x62,0x51,0xe1,0xb7,0x3b,0x40]}

tool: D0: 1

tool: D50: 2.718281828459045

tool: D68: Method 1 : Values obtained %lf , %lf after %d Iterations 


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);
}
```