user: Please show me the C implementation that matches the assembly code listed below:

```asm
<rkFehlbergStep>:
  endbr64
  push   %rbp
  mov    %rsp,%rbp
  add    $0xffffffffffffff80,%rsp
  mov    %rdi,-0x38(%rbp)
  mov    %rsi,-0x40(%rbp)
  movsd  %xmm0,-0x48(%rbp)
  movsd  %xmm1,-0x50(%rbp)
  movsd  %xmm2,-0x58(%rbp)
  mov    %edx,-0x5c(%rbp)
  mov    %rcx,-0x68(%rbp)
  mov    %r8,-0x70(%rbp)
  movsd  -0x50(%rbp),%xmm0
  mov    -0x48(%rbp),%rax
  mov    -0x38(%rbp),%rdx
  movapd %xmm0,%xmm1
  movq   %rax,%xmm0
  call   *%rdx
  movsd  -0x58(%rbp),%xmm1
  mulsd  %xmm1,%xmm0
  movsd  %xmm0,-0x30(%rbp)
  movsd  -0x58(%rbp),%xmm1
  movsd  D78(%rip),%xmm0
  mulsd  %xmm0,%xmm1
  movsd  %xmm1,-0x78(%rbp)
  movsd  -0x50(%rbp),%xmm0
  mov    -0x48(%rbp),%rax
  mov    -0x40(%rbp),%rdx
  movapd %xmm0,%xmm1
  movq   %rax,%xmm0
  call   *%rdx
  mulsd  -0x78(%rbp),%xmm0
  mulsd  -0x30(%rbp),%xmm0
  movapd %xmm0,%xmm2
  addsd  -0x50(%rbp),%xmm2
  movsd  -0x58(%rbp),%xmm1
  movsd  D78(%rip),%xmm0
  mulsd  %xmm1,%xmm0
  addsd  -0x48(%rbp),%xmm0
  movq   %xmm0,%rax
  mov    -0x38(%rbp),%rdx
  movapd %xmm2,%xmm1
  movq   %rax,%xmm0
  call   *%rdx
  movsd  -0x58(%rbp),%xmm1
  mulsd  %xmm1,%xmm0
  movsd  %xmm0,-0x28(%rbp)
  movsd  -0x58(%rbp),%xmm1
  movsd  D152(%rip),%xmm0
  mulsd  %xmm1,%xmm0
  mulsd  -0x30(%rbp),%xmm0
  addsd  -0x50(%rbp),%xmm0
  movsd  %xmm0,-0x78(%rbp)
  movsd  -0x58(%rbp),%xmm1
  movsd  D165(%rip),%xmm0
  mulsd  %xmm0,%xmm1
  movsd  %xmm1,-0x80(%rbp)
  movsd  -0x50(%rbp),%xmm0
  mov    -0x48(%rbp),%rax
  mov    -0x40(%rbp),%rdx
  movapd %xmm0,%xmm1
  movq   %rax,%xmm0
  call   *%rdx
  mulsd  -0x80(%rbp),%xmm0
  mulsd  -0x28(%rbp),%xmm0
  movsd  -0x78(%rbp),%xmm2
  addsd  %xmm0,%xmm2
  movsd  -0x58(%rbp),%xmm1
  movsd  D180(%rip),%xmm0
  mulsd  %xmm1,%xmm0
  addsd  -0x48(%rbp),%xmm0
  movq   %xmm0,%rax
  mov    -0x38(%rbp),%rdx
  movapd %xmm2,%xmm1
  movq   %rax,%xmm0
  call   *%rdx
  movsd  -0x58(%rbp),%xmm1
  mulsd  %xmm1,%xmm0
  movsd  %xmm0,-0x20(%rbp)
  movsd  -0x58(%rbp),%xmm1
  movsd  D40(%rip),%xmm0
  mulsd  %xmm1,%xmm0
  mulsd  -0x30(%rbp),%xmm0
  addsd  -0x50(%rbp),%xmm0
  movsd  -0x58(%rbp),%xmm2
  movsd  D117(%rip),%xmm1
  mulsd  %xmm2,%xmm1
  mulsd  -0x28(%rbp),%xmm1
  subsd  %xmm1,%xmm0
  movsd  %xmm0,-0x78(%rbp)
  movsd  -0x58(%rbp),%xmm1
  movsd  D43(%rip),%xmm0
  mulsd  %xmm0,%xmm1
  movsd  %xmm1,-0x80(%rbp)
  movsd  -0x50(%rbp),%xmm0
  mov    -0x48(%rbp),%rax
  mov    -0x40(%rbp),%rdx
  movapd %xmm0,%xmm1
  movq   %rax,%xmm0
  call   *%rdx
  mulsd  -0x80(%rbp),%xmm0
  mulsd  -0x18(%rbp),%xmm0
  movsd  -0x78(%rbp),%xmm2
  addsd  %xmm0,%xmm2
  movsd  -0x58(%rbp),%xmm1
  movsd  D67(%rip),%xmm0
  mulsd  %xmm1,%xmm0
  addsd  -0x48(%rbp),%xmm0
  movq   %xmm0,%rax
  mov    -0x38(%rbp),%rdx
  movapd %xmm2,%xmm1
  movq   %rax,%xmm0
  call   *%rdx
  movsd  -0x58(%rbp),%xmm1
  mulsd  %xmm1,%xmm0
  movsd  %xmm0,-0x18(%rbp)
  movsd  -0x58(%rbp),%xmm1
  movsd  D120(%rip),%xmm0
  mulsd  %xmm1,%xmm0
  mulsd  -0x30(%rbp),%xmm0
  addsd  -0x50(%rbp),%xmm0
  movsd  -0x58(%rbp),%xmm2
  movsd  D153(%rip),%xmm1
  mulsd  %xmm2,%xmm1
  movapd %xmm1,%xmm2
  mulsd  -0x28(%rbp),%xmm2
  movapd %xmm0,%xmm1
  subsd  %xmm2,%xmm1
  movsd  -0x58(%rbp),%xmm2
  movsd  D68(%rip),%xmm0
  mulsd  %xmm2,%xmm0
  mulsd  -0x20(%rbp),%xmm0
  addsd  %xmm0,%xmm1
  movsd  %xmm1,-0x78(%rbp)
  movsd  -0x58(%rbp),%xmm1
  pxor   %xmm0,%xmm0
  movapd %xmm1,%xmm3
  mulsd  %xmm0,%xmm3
  movsd  %xmm3,-0x80(%rbp)
  movsd  -0x50(%rbp),%xmm0
  mov    -0x48(%rbp),%rax
  mov    -0x40(%rbp),%rdx
  movapd %xmm0,%xmm1
  movq   %rax,%xmm0
  call   *%rdx
  mulsd  -0x80(%rbp),%xmm0
  mulsd  -0x18(%rbp),%xmm0
  movsd  -0x78(%rbp),%xmm1
  subsd  %xmm0,%xmm1
  movsd  -0x48(%rbp),%xmm0
  addsd  -0x58(%rbp),%xmm0
  movq   %xmm0,%rax
  mov    -0x38(%rbp),%rdx
  movq   %rax,%xmm0
  call   *%rdx
  movsd  -0x58(%rbp),%xmm1
  mulsd  %xmm1,%xmm0
  movsd  %xmm0,-0x10(%rbp)
  movsd  -0x58(%rbp),%xmm1
  movsd  D29(%rip),%xmm0
  mulsd  %xmm1,%xmm0
  movapd %xmm0,%xmm2
  mulsd  -0x30(%rbp),%xmm2
  movsd  -0x50(%rbp),%xmm0
  movapd %xmm0,%xmm1
  subsd  %xmm2,%xmm1
  movsd  -0x58(%rbp),%xmm0
  addsd  %xmm0,%xmm0
  mulsd  -0x28(%rbp),%xmm0
  addsd  %xmm1,%xmm0
  movsd  -0x58(%rbp),%xmm2
  movsd  D7(%rip),%xmm1
  mulsd  %xmm2,%xmm1
  movapd %xmm1,%xmm2
  mulsd  -0x20(%rbp),%xmm2
  movapd %xmm0,%xmm1
  subsd  %xmm2,%xmm1
  movsd  -0x58(%rbp),%xmm2
  movsd  D91(%rip),%xmm0
  mulsd  %xmm2,%xmm0
  mulsd  -0x18(%rbp),%xmm0
  addsd  %xmm0,%xmm1
  movsd  %xmm1,-0x78(%rbp)
  movsd  -0x58(%rbp),%xmm1
  movsd  D128(%rip),%xmm0
  movapd %xmm1,%xmm4
  mulsd  %xmm0,%xmm4
  movsd  %xmm4,-0x80(%rbp)
  movsd  -0x50(%rbp),%xmm0
  mov    -0x48(%rbp),%rax
  mov    -0x40(%rbp),%rdx
  movapd %xmm0,%xmm1
  movq   %rax,%xmm0
  call   *%rdx
  mulsd  -0x80(%rbp),%xmm0
  mulsd  -0x10(%rbp),%xmm0
  movsd  -0x78(%rbp),%xmm2
  subsd  %xmm0,%xmm2
  movsd  -0x58(%rbp),%xmm1
  movsd  D96(%rip),%xmm0
  mulsd  %xmm0,%xmm1
  movsd  -0x48(%rbp),%xmm0
  subsd  %xmm1,%xmm0
  movq   %xmm0,%rax
  mov    -0x38(%rbp),%rdx
  movapd %xmm2,%xmm1
  movq   %rax,%xmm0
  call   *%rdx
  movsd  -0x58(%rbp),%xmm1
  mulsd  %xmm1,%xmm0
  movsd  %xmm0,-0x8(%rbp)
  pxor   %xmm0,%xmm0
  cvtsi2sdl -0x5c(%rbp),%xmm0
  mulsd  -0x58(%rbp),%xmm0
  addsd  -0x48(%rbp),%xmm0
  mov    -0x68(%rbp),%rax
  movsd  %xmm0,(%rax)
  movsd  -0x30(%rbp),%xmm1
  movsd  D182(%rip),%xmm0
  mulsd  %xmm1,%xmm0
  movapd %xmm0,%xmm1
  addsd  -0x50(%rbp),%xmm1
  movsd  -0x28(%rbp),%xmm2
  pxor   %xmm0,%xmm0
  mulsd  %xmm2,%xmm0
  addsd  %xmm0,%xmm1
  movsd  -0x20(%rbp),%xmm2
  movsd  D167(%rip),%xmm0
  mulsd  %xmm2,%xmm0
  addsd  %xmm0,%xmm1
  movsd  -0x18(%rbp),%xmm2
  movsd  D56(%rip),%xmm0
  mulsd  %xmm2,%xmm0
  addsd  %xmm1,%xmm0
  movsd  -0x10(%rbp),%xmm2
  movsd  D100(%rip),%xmm1
  mulsd  %xmm1,%xmm2
  movapd %xmm0,%xmm1
  subsd  %xmm2,%xmm1
  movsd  -0x8(%rbp),%xmm2
  pxor   %xmm0,%xmm0
  mulsd  %xmm2,%xmm0
  addsd  %xmm1,%xmm0
  mov    -0x70(%rbp),%rax
  movsd  %xmm0,(%rax)
  nop
  leave
  ret
```

tool_calls: name: extract_symbolic_data
arguments: data_label: D78
type_infered: f32[2]
name: extract_symbolic_data
arguments: data_label: D152
type_infered: f32[2]
name: extract_symbolic_data
arguments: data_label: D165
type_infered: f32[2]
name: extract_symbolic_data
arguments: data_label: D180
type_infered: f32[2]
name: extract_symbolic_data
arguments: data_label: D40
type_infered: byte[8]
name: extract_symbolic_data
arguments: data_label: D117
type_infered: byte[8]
name: extract_symbolic_data
arguments: data_label: D43
type_infered: byte[8]
name: extract_symbolic_data
arguments: data_label: D67
type_infered: byte[8]
name: extract_symbolic_data
arguments: data_label: D120
type_infered: byte[8]
name: extract_symbolic_data
arguments: data_label: D153
type_infered: f64
name: extract_symbolic_data
arguments: data_label: D68
type_infered: byte[8]
name: extract_symbolic_data
arguments: data_label: D29
type_infered: byte[8]
name: extract_symbolic_data
arguments: data_label: D7
type_infered: byte[8]
name: extract_symbolic_data
arguments: data_label: D91
type_infered: byte[8]
name: extract_symbolic_data
arguments: data_label: D128
type_infered: byte[8]
name: extract_symbolic_data
arguments: data_label: D96
type_infered: f32[2]
name: extract_symbolic_data
arguments: data_label: D182
type_infered: byte[8]
name: extract_symbolic_data
arguments: data_label: D167
type_infered: byte[8]
name: extract_symbolic_data
arguments: data_label: D56
type_infered: byte[8]
name: extract_symbolic_data
arguments: data_label: D100
type_infered: byte[8]

tool: {"D78": [0.0,1.625]}

tool: {"D152": [0.0,1.4375]}

tool: {"D165": [0.0,1.640625]}

tool: {"D180": [0.0,1.6875]}

tool: {"D40": [0x4c,0x61,0x89,0x91,0xe3,0x23,0xec,0x3f]}

tool: {"D117": [0x3c,0xbd,0x08,0xa1,0xb2,0x37,0x0a,0x40]}

tool: {"D43": [0x10,0xdb,0x08,0xe4,0x2f,0x91,0x0a,0x40]}

tool: {"D67": [0x9e,0xd8,0x89,0x9d,0xd8,0x89,0xed,0x3f]}

tool: {"D120": [0x26,0xb4,0x97,0xd0,0x5e,0x42,0x00,0x40]}

tool: D153: 8

tool: {"D68": [0x1a,0xcb,0x69,0x2c,0xa7,0xb1,0x1c,0x40]}

tool: {"D29": [0x68,0x2f,0xa1,0xbd,0x84,0xf6,0xd2,0x3f]}

tool: {"D7": [0xb6,0x61,0x09,0xba,0x58,0x1b,0xf6,0x3f]}

tool: {"D91": [0xd8,0x4f,0x60,0x3f,0x81,0xfd,0xdc,0x3f]}

tool: {"D128": [0x9a,0x99,0x99,0x99,0x99,0x99,0xd1,0x3f]}

tool: {"D96": [0.0,1.75]}

tool: {"D182": [0x13,0xda,0x4b,0x68,0x2f,0xa1,0xbd,0x3f]}

tool: {"D167": [0x0d,0x19,0x01,0x31,0xd1,0x90,0xe1,0x3f]}

tool: {"D56": [0x17,0xd2,0x5b,0x48,0x6f,0x21,0xe1,0x3f]}

tool: {"D100": [0x9a,0x99,0x99,0x99,0x99,0x99,0xc9,0x3f]}

assistant: ```c
void rkFehlbergStep(double (*f)(double, double), double (*fy)(double, double), double t0, double y0, double h, int i, double *t, double *y) {
  double k1, k2, k3, k4, k5, k6;
  k1 = h * (*f)(t0, y0);
  k2 = h * (*f)(t0 + 1.0 / 4.0 * h, y0 + 1.0 / 4.0 * h * (*fy)(t0, y0) * k1);
  k3 = h * (*f)(t0 + 3.0 / 8.0 * h, y0 + 3.0 / 32.0 * h * k1 + 9.0 / 32.0 * h * (*fy)(t0, y0) * k2);
  k4 = h * (*f)(t0 + 12.0 / 13.0 * h, y0 + 1932.0 / 2197.0 * h * k1 - 7200.0 / 2197.0 * h * k2 + 7296.0 / 2197.0 * h * (*fy)(t0, y0) * k4);
  k5 = h * (*f)(t0 + 1.0 * h, y0 + 439.0 / 216.0 * h * k1 - 8.0 * h * k2 + 3680.0 / 513.0 * h * k3 - 845 / 4104 * h * (*fy)(t0, y0) * k4);
  k6 = h * (*f)(t0 - 1.0 / 2.0 * h, y0 - 8.0 / 27.0 * h * k1 + 2.0 * h * k2 - 3544.0 / 2565.0 * h * k3 + 1859.0 / 4104.0 * h * k4 - 11.0 / 40.0 * h * (*fy)(t0, y0) * k5);
  *t = t0 + h * i;
  *y = y0 + 25.0 / 216.0 * k1 + 0.0 * k2 + 1408.0 / 2565.0 * k3 + 2197.0 / 4104.0 * k4 - 1.0 / 5.0 * k5 + 0.0 * k6;
}
```