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

```asm
<integrate_three_rk4>:
  endbr64
  push   %r15
  push   %r14
  push   %r13
  push   %r12
  push   %rbp
  push   %rbx
  sub    $0x348,%rsp
  mov    %rdx,0x10(%rsp)
  mov    %rcx,0x30(%rsp)
  movsd  %xmm0,0x28(%rsp)
  mov    %r9d,0x24(%rsp)
  mov    %fs:0x28,%rdx
  mov    %rdx,0x338(%rsp)
  xor    %edx,%edx
  movapd %xmm0,%xmm3
  movapd %xmm0,%xmm4
  mulsd  D4(%rip),%xmm4
  movsd  %xmm4,0x18(%rsp)
  divsd  D0(%rip),%xmm3
  movsd  %xmm3,0x8(%rsp)
  movsd  (%rdi),%xmm0
  movsd  %xmm0,(%rcx)
  movsd  0x28(%rdi),%xmm0
  movsd  %xmm0,0x8(%rcx)
  movsd  0x50(%rdi),%xmm0
  movsd  %xmm0,0x10(%rcx)
  cmp    $0x1,%r8d
  jbe    L45
  mov    %rdi,%rbx
  mov    %rsi,%r15
  lea    (%r8,%r8,2),%eax
  mov    %eax,0x3c(%rsp)
  movl   $0x3,0x38(%rsp)
  lea    0x140(%rsp),%r13
  jmp    L57
L87:
  mov    0x10(%rsp),%rcx
  mov    %r15,%rdx
  mov    %r13,%rsi
  mov    %rbx,%rdi
  call   <derivs_three@plt>
  mov    $0x0,%eax
  movsd  0x18(%rsp),%xmm1
L28:
  movapd %xmm1,%xmm0
  mulsd  (%rax,%r13,1),%xmm0
  addsd  (%rbx,%rax,1),%xmm0
  movsd  %xmm0,0x40(%rsp,%rax,1)
  add    $0x8,%rax
  cmp    $0x78,%rax
  jne    L28
  lea    0x40(%rsp),%rdi
  mov    0x10(%rsp),%rcx
  mov    %r15,%rdx
  mov    %r12,%rsi
  call   <derivs_three@plt>
  mov    $0x0,%eax
  movsd  0x18(%rsp),%xmm1
L65:
  movapd %xmm1,%xmm0
  mulsd  (%rax,%r12,1),%xmm0
  addsd  (%rbx,%rax,1),%xmm0
  movsd  %xmm0,0xc0(%rsp,%rax,1)
  add    $0x8,%rax
  cmp    $0x78,%rax
  jne    L65
  lea    0xc0(%rsp),%rdi
  mov    0x10(%rsp),%rcx
  mov    %r15,%rdx
  mov    %rbp,%rsi
  call   <derivs_three@plt>
  mov    $0x0,%eax
  movsd  0x28(%rsp),%xmm1
L101:
  movapd %xmm1,%xmm0
  mulsd  (%rax,%rbp,1),%xmm0
  addsd  (%rbx,%rax,1),%xmm0
  movsd  %xmm0,0xc0(%rsp,%rax,1)
  add    $0x8,%rax
  cmp    $0x78,%rax
  jne    L101
  lea    0xc0(%rsp),%rdi
  mov    0x10(%rsp),%rcx
  mov    %r15,%rdx
  mov    %r14,%rsi
  call   <derivs_three@plt>
  mov    $0x0,%eax
L35:
  movsd  (%rax,%r12,1),%xmm0
  addsd  (%rax,%rbp,1),%xmm0
  addsd  %xmm0,%xmm0
  addsd  (%rax,%r13,1),%xmm0
  addsd  (%rax,%r14,1),%xmm0
  mulsd  0x8(%rsp),%xmm0
  addsd  (%rbx,%rax,1),%xmm0
  movsd  %xmm0,(%rbx,%rax,1)
  add    $0x8,%rax
  cmp    $0x78,%rax
  jne    L35
  addl   $0x1,0x20(%rsp)
  mov    0x20(%rsp),%eax
  cmp    %eax,0x24(%rsp)
  jne    L87
L68:
  movsd  (%rbx),%xmm0
  mov    0x38(%rsp),%esi
  mov    %esi,%eax
  mov    0x30(%rsp),%rdx
  movsd  %xmm0,(%rdx,%rax,8)
  movsd  0x28(%rbx),%xmm0
  lea    0x1(%rsi),%eax
  movsd  %xmm0,(%rdx,%rax,8)
  movsd  0x50(%rbx),%xmm0
  lea    0x2(%rsi),%eax
  movsd  %xmm0,(%rdx,%rax,8)
  add    $0x3,%esi
  mov    %esi,0x38(%rsp)
  cmp    %esi,0x3c(%rsp)
  je     L45
L57:
  movl   $0x0,0x20(%rsp)
  lea    0x1c0(%rsp),%r12
  lea    0x240(%rsp),%rbp
  lea    0x2c0(%rsp),%r14
  cmpl   $0x0,0x24(%rsp)
  jne    L87
  jmp    L68
L45:
  mov    0x338(%rsp),%rax
  sub    %fs:0x28,%rax
  jne    L29
  add    $0x348,%rsp
  pop    %rbx
  pop    %rbp
  pop    %r12
  pop    %r13
  pop    %r14
  pop    %r15
  ret
L29:
  call   <__stack_chk_fail@plt>
```

tool_calls: name: extract_symbolic_data
arguments: data_tag: D4
data_type: byte[8]
name: extract_symbolic_data
arguments: data_tag: D0
data_type: f64

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

tool: D0: 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];
  }
}
```