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

```asm
<leech_two_rk4>:
  endbr64
  push   %r15
  movapd %xmm0,%xmm6
  push   %r14
  unpcklpd %xmm6,%xmm6
  push   %r13
  mov    %rdi,%r13
  push   %r12
  push   %rbp
  push   %rbx
  sub    $0x1f8,%rsp
  movdqu 0x8(%rdx),%xmm7
  movsd  (%rdi),%xmm1
  mov    %esi,0x34(%rsp)
  movsd  D4(%rip),%xmm4
  mov    %r8,0x58(%rsp)
  mulsd  %xmm0,%xmm4
  divsd  D1(%rip),%xmm0
  mov    %fs:0x28,%rax
  mov    %rax,0x1e8(%rsp)
  xor    %eax,%eax
  movaps %xmm7,0x180(%rsp)
  movdqu 0x18(%rdx),%xmm7
  movaps %xmm6,0x20(%rsp)
  movaps %xmm7,0x190(%rsp)
  movdqu 0x28(%rdx),%xmm7
  movaps %xmm7,0x1a0(%rsp)
  movdqu 0x38(%rdx),%xmm6
  movaps %xmm6,0x1b0(%rsp)
  movdqu 0x48(%rdx),%xmm7
  movaps %xmm7,0x1c0(%rsp)
  movdqu 0x58(%rdx),%xmm6
  movsd  %xmm1,(%r8)
  movsd  0x18(%rdi),%xmm1
  movaps %xmm6,0x1d0(%rsp)
  movsd  %xmm1,0x8(%r8)
  movsd  0x30(%rdi),%xmm1
  movsd  %xmm1,0x10(%r8)
  test   %esi,%esi
  je     L12
  xor    %r14d,%r14d
  unpcklpd %xmm4,%xmm4
  unpcklpd %xmm0,%xmm0
  mov    %rcx,%rbx
  lea    0xf0(%rsp),%rax
  mov    %r14d,%r13d
  lea    0x180(%rsp),%rbp
  mov    %rdi,%r14
  mov    %rax,0x40(%rsp)
  lea    0x60(%rsp),%rax
  lea    0xc0(%rsp),%r15
  mov    %rax,0x38(%rsp)
  lea    0x120(%rsp),%rax
  lea    0x90(%rsp),%r12
  mov    %rax,0x48(%rsp)
  lea    0x150(%rsp),%rax
  mov    %rax,0x50(%rsp)
  nopw   0x0(%rax,%rax,1)
L30:
  mov    %rbx,%rcx
  mov    %rbp,%rdx
  mov    %r15,%rsi
  mov    %r14,%rdi
  movaps %xmm0,0x10(%rsp)
  add    $0x1,%r13d
  movaps %xmm4,(%rsp)
  call   <derivs_two@plt>
  movapd (%rsp),%xmm4
  movupd 0x10(%r14),%xmm6
  mov    %rbx,%rcx
  movupd 0x20(%r14),%xmm7
  mov    0x40(%rsp),%rsi
  mov    %rbp,%rdx
  movapd 0xd0(%rsp),%xmm2
  mov    0x38(%rsp),%rdi
  movapd 0xe0(%rsp),%xmm1
  movapd 0xc0(%rsp),%xmm3
  mulpd  %xmm4,%xmm2
  mulpd  %xmm4,%xmm1
  mulpd  %xmm4,%xmm3
  addpd  %xmm6,%xmm2
  movupd (%r14),%xmm6
  addpd  %xmm7,%xmm1
  addpd  %xmm6,%xmm3
  movaps %xmm2,0x70(%rsp)
  movaps %xmm1,0x80(%rsp)
  movaps %xmm3,0x60(%rsp)
  call   <derivs_two@plt>
  movapd (%rsp),%xmm4
  mov    %rbx,%rcx
  mov    %rbp,%rdx
  movupd 0x10(%r14),%xmm7
  movupd 0x20(%r14),%xmm6
  mov    %r12,%rdi
  movapd 0x100(%rsp),%xmm2
  mov    0x48(%rsp),%rsi
  movapd 0x110(%rsp),%xmm1
  movapd 0xf0(%rsp),%xmm3
  mulpd  %xmm4,%xmm2
  mulpd  %xmm4,%xmm1
  mulpd  %xmm4,%xmm3
  addpd  %xmm7,%xmm2
  movupd (%r14),%xmm7
  addpd  %xmm6,%xmm1
  addpd  %xmm7,%xmm3
  movaps %xmm2,0xa0(%rsp)
  movaps %xmm1,0xb0(%rsp)
  movaps %xmm3,0x90(%rsp)
  call   <derivs_two@plt>
  movapd 0x20(%rsp),%xmm5
  movupd 0x10(%r14),%xmm6
  mov    %rbx,%rcx
  movupd (%r14),%xmm0
  mov    0x50(%rsp),%rsi
  mov    %rbp,%rdx
  mov    %r12,%rdi
  movapd 0x130(%rsp),%xmm2
  movupd 0x20(%r14),%xmm7
  movapd 0x140(%rsp),%xmm1
  mulpd  %xmm5,%xmm2
  mulpd  %xmm5,%xmm1
  mulpd  0x120(%rsp),%xmm5
  addpd  %xmm6,%xmm2
  addpd  %xmm7,%xmm1
  movapd %xmm5,%xmm3
  addpd  %xmm0,%xmm3
  movaps %xmm2,0xa0(%rsp)
  movaps %xmm1,0xb0(%rsp)
  movaps %xmm3,0x90(%rsp)
  call   <derivs_two@plt>
  movapd 0x10(%rsp),%xmm0
  movupd 0x10(%r14),%xmm6
  movapd 0x100(%rsp),%xmm1
  movupd 0x20(%r14),%xmm7
  addpd  0x130(%rsp),%xmm1
  movupd (%r14),%xmm5
  movapd 0xf0(%rsp),%xmm3
  cmp    %r13d,0x34(%rsp)
  addpd  0x120(%rsp),%xmm3
  movapd (%rsp),%xmm4
  movapd %xmm1,%xmm2
  addpd  %xmm1,%xmm2
  movapd 0x110(%rsp),%xmm1
  addpd  0x140(%rsp),%xmm1
  addpd  0xd0(%rsp),%xmm2
  addpd  %xmm3,%xmm3
  addpd  0x160(%rsp),%xmm2
  addpd  0xc0(%rsp),%xmm3
  addpd  0x150(%rsp),%xmm3
  addpd  %xmm1,%xmm1
  addpd  0xe0(%rsp),%xmm1
  addpd  0x170(%rsp),%xmm1
  mulpd  %xmm0,%xmm2
  mulpd  %xmm0,%xmm3
  mulpd  %xmm0,%xmm1
  addpd  %xmm6,%xmm2
  addpd  %xmm5,%xmm3
  addpd  %xmm7,%xmm1
  movups %xmm2,0x10(%r14)
  movups %xmm3,(%r14)
  movups %xmm1,0x20(%r14)
  jne    L30
  mov    %r14,%r13
L12:
  mov    0x58(%rsp),%rbx
  lea    0x8(%r13),%rax
  cmp    %rax,%rbx
  je     L45
  movupd 0x0(%r13),%xmm0
  movups %xmm0,(%rbx)
  movupd 0x10(%r13),%xmm0
  movups %xmm0,0x10(%rbx)
  movupd 0x20(%r13),%xmm0
  movaps %xmm0,(%rsp)
  movups %xmm0,0x20(%rbx)
L39:
  mov    0x1e8(%rsp),%rax
  sub    %fs:0x28,%rax
  jne    L28
  add    $0x1f8,%rsp
  pop    %rbx
  pop    %rbp
  pop    %r12
  pop    %r13
  pop    %r14
  pop    %r15
  ret
L45:
  movsd  0x0(%r13),%xmm0
  movsd  %xmm0,0x8(%r13)
  movsd  %xmm0,0x10(%r13)
  movsd  %xmm0,0x18(%r13)
  movsd  %xmm0,0x20(%r13)
  movsd  %xmm0,0x28(%r13)
  movsd  %xmm0,0x30(%r13)
  jmp    L39
L28:
  call   <__stack_chk_fail@plt>
```

tool_calls: name: retrieve_data
arguments: data_tag: D4
type_infered: byte[8]
name: retrieve_data
arguments: data_tag: D1
type_infered: f64

tool: {"D4": [0x00,0x00,0x00,0x00,0x00,0x00,0xe0,0x3f]}

tool: D1: 6

assistant: ```c
void leech_two_rk4(double *y, const double dt, const unsigned N, const double *p, const double *kij, double *output) {
  unsigned i, j, k;
  double dt2, dt6;
  double y1[6], y2[6], k1[6], k2[6], k3[6], k4[6], P[12];
  dt2 = dt / 2.;
  dt6 = dt / 6.;
  for (j = 0; j < 12; j++)
    P[j] = p[j + 1];
  for (j = 0; j < 3; j++)
    output[j] = y[3 * j];
  for (i = 0; i < N; i++) {
    derivs_two(y, k1, P, kij);
    for (k = 0; k < 6; k++)
      y1[k] = y[k] + k1[k] * dt2;
    derivs_two(y1, k2, P, kij);
    for (k = 0; k < 6; k++)
      y2[k] = y[k] + k2[k] * dt2;
    derivs_two(y2, k3, P, kij);
    for (k = 0; k < 6; k++)
      y2[k] = y[k] + k3[k] * dt;
    derivs_two(y2, k4, P, kij);
    for (k = 0; k < 6; k++)
      y[k] += dt6 * (k1[k] + 2. * (k2[k] + k3[k]) + k4[k]);
  }
  for (j = 0; j < 6; j++)
    output[j] = y[j];
}
```