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

```asm
<integrate_three_rk4>:
  endbr64
  push   %r15
  movapd %xmm0,%xmm4
  movapd %xmm0,%xmm7
  push   %r14
  push   %r13
  push   %r12
  push   %rbp
  push   %rbx
  mov    %rdx,%rbx
  sub    $0x398,%rsp
  movsd  D13(%rip),%xmm5
  divsd  D18(%rip),%xmm4
  mov    %rcx,0x80(%rsp)
  mov    %r9d,0x4c(%rsp)
  mulsd  %xmm0,%xmm5
  movsd  %xmm0,0x68(%rsp)
  movsd  (%rdi),%xmm0
  mov    %fs:0x28,%rdx
  mov    %rdx,0x388(%rsp)
  xor    %edx,%edx
  movsd  %xmm0,(%rcx)
  movsd  0x28(%rdi),%xmm0
  movsd  %xmm4,0x70(%rsp)
  movsd  %xmm0,0x8(%rcx)
  movsd  0x50(%rdi),%xmm0
  movsd  %xmm5,0x40(%rsp)
  movsd  %xmm0,0x10(%rcx)
  cmp    $0x1,%r8d
  jbe    L48
  lea    (%r8,%r8,2),%eax
  movapd %xmm5,%xmm6
  movapd %xmm4,%xmm8
  mov    %rdi,%r12
  unpcklpd %xmm7,%xmm7
  unpcklpd %xmm6,%xmm6
  unpcklpd %xmm8,%xmm8
  mov    %rsi,%r13
  mov    %eax,0x8c(%rsp)
  lea    0x190(%rsp),%rax
  movl   $0x3,0x88(%rsp)
  mov    %rax,0x78(%rsp)
L28:
  mov    0x4c(%rsp),%eax
  test   %eax,%eax
  je     L31
  lea    0x210(%rsp),%rax
  xor    %r14d,%r14d
  lea    0x90(%rsp),%r15
  mov    %rax,0x50(%rsp)
  lea    0x290(%rsp),%rax
  lea    0x110(%rsp),%rbp
  mov    %rax,0x60(%rsp)
  lea    0x310(%rsp),%rax
  mov    %rax,0x58(%rsp)
  mov    %r12,%rax
  mov    %r14d,%r12d
  mov    %rax,%r14
  nopw   0x0(%rax,%rax,1)
L19:
  mov    0x78(%rsp),%rsi
  mov    %rbx,%rcx
  mov    %r13,%rdx
  mov    %r14,%rdi
  movaps %xmm8,0x30(%rsp)
  add    $0x1,%r12d
  movaps %xmm6,(%rsp)
  movaps %xmm7,0x20(%rsp)
  call   <derivs_three@plt>
  movapd (%rsp),%xmm6
  mov    %rbx,%rcx
  mov    %r13,%rdx
  movupd 0x10(%r14),%xmm7
  mov    0x50(%rsp),%rsi
  mov    %r15,%rdi
  movapd 0x1a0(%rsp),%xmm5
  movapd 0x1b0(%rsp),%xmm4
  movapd 0x1c0(%rsp),%xmm3
  movapd 0x1d0(%rsp),%xmm2
  movapd 0x1e0(%rsp),%xmm1
  mulpd  %xmm6,%xmm5
  movapd 0x1f0(%rsp),%xmm0
  movapd 0x190(%rsp),%xmm9
  mulpd  %xmm6,%xmm4
  mulpd  %xmm6,%xmm3
  mulpd  %xmm6,%xmm2
  mulpd  %xmm6,%xmm1
  addpd  %xmm7,%xmm5
  movupd 0x20(%r14),%xmm7
  mulpd  %xmm6,%xmm0
  mulpd  %xmm6,%xmm9
  movupd (%r14),%xmm6
  addpd  %xmm7,%xmm4
  movupd 0x30(%r14),%xmm7
  movaps %xmm5,0xa0(%rsp)
  addpd  %xmm7,%xmm3
  movupd 0x40(%r14),%xmm7
  movaps %xmm4,0xb0(%rsp)
  addpd  %xmm7,%xmm2
  movupd 0x50(%r14),%xmm7
  addpd  %xmm6,%xmm9
  movaps %xmm3,0xc0(%rsp)
  addpd  %xmm7,%xmm1
  movupd 0x60(%r14),%xmm7
  movaps %xmm9,0x90(%rsp)
  addpd  %xmm7,%xmm0
  movaps %xmm2,0xd0(%rsp)
  movaps %xmm1,0xe0(%rsp)
  movaps %xmm0,0xf0(%rsp)
  movsd  0x40(%rsp),%xmm0
  mulsd  0x200(%rsp),%xmm0
  addsd  0x70(%r14),%xmm0
  movsd  %xmm0,0x100(%rsp)
  call   <derivs_three@plt>
  movapd (%rsp),%xmm6
  mov    0x60(%rsp),%rsi
  mov    %rbx,%rcx
  movapd 0x240(%rsp),%xmm3
  mov    %r13,%rdx
  mov    %rbp,%rdi
  movapd 0x230(%rsp),%xmm4
  movupd 0x30(%r14),%xmm2
  movapd %xmm6,%xmm9
  movaps %xmm6,0x10(%rsp)
  movapd 0x220(%rsp),%xmm5
  mulpd  %xmm6,%xmm3
  movupd 0x20(%r14),%xmm1
  movupd 0x10(%r14),%xmm7
  mulpd  %xmm6,%xmm4
  mulpd  %xmm6,%xmm5
  mulpd  0x210(%rsp),%xmm9
  addpd  %xmm2,%xmm3
  movapd 0x250(%rsp),%xmm2
  addpd  %xmm1,%xmm4
  movapd 0x260(%rsp),%xmm1
  mulpd  %xmm6,%xmm2
  addpd  %xmm7,%xmm5
  movupd 0x40(%r14),%xmm7
  mulpd  %xmm6,%xmm1
  movaps %xmm3,0x140(%rsp)
  movaps %xmm4,0x130(%rsp)
  movaps %xmm5,0x120(%rsp)
  addpd  %xmm7,%xmm2
  movupd 0x50(%r14),%xmm7
  addpd  %xmm7,%xmm1
  movapd 0x270(%rsp),%xmm7
  movaps %xmm2,0x150(%rsp)
  mulpd  %xmm6,%xmm7
  movupd (%r14),%xmm6
  movaps %xmm1,0x160(%rsp)
  addpd  %xmm6,%xmm9
  movaps %xmm9,0x110(%rsp)
  movapd %xmm7,%xmm0
  movupd 0x60(%r14),%xmm7
  addpd  %xmm7,%xmm0
  movaps %xmm0,0x170(%rsp)
  movsd  0x40(%rsp),%xmm0
  mulsd  0x280(%rsp),%xmm0
  addsd  0x70(%r14),%xmm0
  movsd  %xmm0,0x180(%rsp)
  call   <derivs_three@plt>
  mov    0x58(%rsp),%rsi
  mov    %rbx,%rcx
  mov    %r13,%rdx
  movapd 0x20(%rsp),%xmm7
  movupd 0x10(%r14),%xmm6
  mov    %rbp,%rdi
  movapd 0x2a0(%rsp),%xmm5
  movapd 0x2b0(%rsp),%xmm4
  movapd 0x2c0(%rsp),%xmm3
  movapd %xmm7,%xmm9
  movapd 0x2d0(%rsp),%xmm2
  movaps %xmm7,(%rsp)
  movapd 0x2e0(%rsp),%xmm1
  mulpd  %xmm7,%xmm5
  movapd 0x2f0(%rsp),%xmm0
  mulpd  %xmm7,%xmm4
  mulpd  %xmm7,%xmm3
  mulpd  %xmm7,%xmm2
  mulpd  %xmm7,%xmm1
  addpd  %xmm6,%xmm5
  movupd 0x20(%r14),%xmm6
  mulpd  %xmm7,%xmm0
  mulpd  0x290(%rsp),%xmm9
  addpd  %xmm6,%xmm4
  movupd 0x30(%r14),%xmm6
  movaps %xmm5,0x120(%rsp)
  addpd  %xmm6,%xmm3
  movupd 0x40(%r14),%xmm6
  movaps %xmm4,0x130(%rsp)
  addpd  %xmm6,%xmm2
  movupd 0x50(%r14),%xmm6
  movaps %xmm3,0x140(%rsp)
  addpd  %xmm6,%xmm1
  movupd 0x60(%r14),%xmm6
  movaps %xmm2,0x150(%rsp)
  addpd  %xmm6,%xmm0
  movupd (%r14),%xmm6
  movaps %xmm1,0x160(%rsp)
  addpd  %xmm6,%xmm9
  movaps %xmm0,0x170(%rsp)
  movsd  0x68(%rsp),%xmm0
  mulsd  0x300(%rsp),%xmm0
  addsd  0x70(%r14),%xmm0
  movaps %xmm9,0x110(%rsp)
  movsd  %xmm0,0x180(%rsp)
  call   <derivs_three@plt>
  movapd 0x30(%rsp),%xmm8
  movapd 0x2a0(%rsp),%xmm0
  addpd  0x220(%rsp),%xmm0
  movupd 0x10(%r14),%xmm3
  movupd 0x30(%r14),%xmm2
  movupd 0x20(%r14),%xmm1
  movsd  0x210(%rsp),%xmm9
  movupd 0x50(%r14),%xmm6
  movapd %xmm0,%xmm5
  addpd  %xmm0,%xmm5
  addpd  0x1a0(%rsp),%xmm5
  movapd 0x2b0(%rsp),%xmm0
  addpd  0x320(%rsp),%xmm5
  addpd  0x230(%rsp),%xmm0
  mulpd  %xmm8,%xmm5
  movapd %xmm0,%xmm4
  addpd  %xmm0,%xmm4
  movapd 0x2c0(%rsp),%xmm0
  addpd  0x240(%rsp),%xmm0
  addpd  0x1b0(%rsp),%xmm4
  addpd  0x330(%rsp),%xmm4
  addpd  %xmm3,%xmm5
  mulpd  %xmm8,%xmm4
  movapd %xmm0,%xmm3
  addpd  %xmm0,%xmm3
  addpd  0x1c0(%rsp),%xmm3
  movapd 0x2d0(%rsp),%xmm0
  addpd  0x340(%rsp),%xmm3
  addpd  0x250(%rsp),%xmm0
  mulpd  %xmm8,%xmm3
  addpd  %xmm1,%xmm4
  movupd 0x40(%r14),%xmm1
  addpd  %xmm2,%xmm3
  movapd %xmm0,%xmm2
  addpd  %xmm0,%xmm2
  addpd  0x1d0(%rsp),%xmm2
  movapd 0x2e0(%rsp),%xmm0
  addpd  0x350(%rsp),%xmm2
  addpd  0x260(%rsp),%xmm0
  mulpd  %xmm8,%xmm2
  addpd  %xmm1,%xmm2
  movapd %xmm0,%xmm1
  addpd  %xmm0,%xmm1
  addpd  0x1e0(%rsp),%xmm1
  movapd 0x2f0(%rsp),%xmm0
  addpd  0x360(%rsp),%xmm1
  addpd  0x270(%rsp),%xmm0
  mulpd  %xmm8,%xmm1
  addpd  %xmm0,%xmm0
  addpd  0x1f0(%rsp),%xmm0
  addpd  0x370(%rsp),%xmm0
  mulpd  %xmm8,%xmm0
  addpd  %xmm6,%xmm1
  movupd 0x60(%r14),%xmm6
  addsd  0x290(%rsp),%xmm9
  movups %xmm5,0x10(%r14)
  movsd  0x70(%rsp),%xmm7
  movsd  (%r14),%xmm10
  movups %xmm4,0x20(%r14)
  cmp    %r12d,0x4c(%rsp)
  movups %xmm3,0x30(%r14)
  addsd  %xmm9,%xmm9
  movups %xmm2,0x40(%r14)
  addsd  0x190(%rsp),%xmm9
  addsd  0x310(%rsp),%xmm9
  addpd  %xmm6,%xmm0
  movupd (%r14),%xmm6
  movups %xmm1,0x50(%r14)
  mulsd  %xmm7,%xmm9
  movups %xmm0,0x60(%r14)
  movsd  0x280(%rsp),%xmm0
  addsd  0x300(%rsp),%xmm0
  addsd  %xmm0,%xmm0
  addsd  0x200(%rsp),%xmm0
  addsd  0x380(%rsp),%xmm0
  addsd  %xmm9,%xmm10
  movapd 0x210(%rsp),%xmm9
  addpd  0x290(%rsp),%xmm9
  mulsd  %xmm7,%xmm0
  movapd (%rsp),%xmm7
  addpd  %xmm9,%xmm9
  addsd  0x70(%r14),%xmm0
  addpd  0x190(%rsp),%xmm9
  addpd  0x310(%rsp),%xmm9
  movsd  %xmm0,0x70(%r14)
  mulpd  %xmm8,%xmm9
  addpd  %xmm6,%xmm9
  movapd 0x10(%rsp),%xmm6
  movups %xmm9,(%r14)
  jne    L19
  mov    %r14,%r12
L51:
  mov    0x88(%rsp),%eax
  mov    0x80(%rsp),%rsi
  movsd  %xmm10,(%rsi,%rax,8)
  movsd  0x28(%r12),%xmm0
  mov    %rax,%rcx
  lea    0x1(%rax),%eax
  movsd  %xmm0,(%rsi,%rax,8)
  movsd  0x50(%r12),%xmm0
  lea    0x2(%rcx),%eax
  add    $0x3,%ecx
  mov    %ecx,0x88(%rsp)
  movsd  %xmm0,(%rsi,%rax,8)
  cmp    0x8c(%rsp),%ecx
  jne    L28
L48:
  mov    0x388(%rsp),%rax
  sub    %fs:0x28,%rax
  jne    L44
  add    $0x398,%rsp
  pop    %rbx
  pop    %rbp
  pop    %r12
  pop    %r13
  pop    %r14
  pop    %r15
  ret
L31:
  movsd  (%r12),%xmm10
  jmp    L51
L44:
  call   <__stack_chk_fail@plt>
```

tool_calls: name: extract_symbolic_data
arguments: data_label: D13
type_infered: byte[8]
name: extract_symbolic_data
arguments: data_label: D18
type_infered: f64

tool: {"D13": [0x00,0x00,0x00,0x00,0x00,0x00,0xe0,0x3f]}

tool: D18: 6

assistant: ```c
void integrate_three_rk4(double *y, const double *params, const double *coupling, double *output, const double dt, const unsigned N, const unsigned stride) {
  unsigned i, j, k;
  double dt2, dt6;
  double y1[3 * 5], y2[3 * 5], k1[3 * 5], k2[3 * 5], k3[3 * 5], k4[3 * 5];
  dt2 = dt / 2.;
  dt6 = dt / 6.;
  for (j = 0; j < 3; j++)
    output[j] = y[5 * j];
  for (i = 1; i < N; i++) {
    for (j = 0; j < stride; j++) {
      derivs_three(y, k1, params, coupling);
      for (k = 0; k < 3 * 5; k++)
        y1[k] = y[k] + k1[k] * dt2;
      derivs_three(y1, k2, params, coupling);
      for (k = 0; k < 3 * 5; k++)
        y2[k] = y[k] + k2[k] * dt2;
      derivs_three(y2, k3, params, coupling);
      for (k = 0; k < 3 * 5; k++)
        y2[k] = y[k] + k3[k] * dt;
      derivs_three(y2, k4, params, coupling);
      for (k = 0; k < 3 * 5; k++)
        y[k] += dt6 * (k1[k] + 2. * (k2[k] + k3[k]) + k4[k]);
    }
    for (j = 0; j < 3; j++)
      output[3 * i + j] = y[5 * j];
  }
}
```