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

```asm
<main>:
  endbr64
  push   %r15
  lea    D4(%rip),%rdi
  push   %r14
  xor    %r14d,%r14d
  push   %rbp
  lea    D75(%rip),%rbp
  push   %rbx
  mov    $0xa,%ebx
  sub    $0x28,%rsp
  call   <puts@plt>
  lea    D39(%rip),%rdi
  call   <puts@plt>
  pxor   %xmm0,%xmm0
  call   <fx@plt>
  movaps %xmm0,%xmm1
  movss  D53(%rip),%xmm0
  subss  %xmm1,%xmm0
  call   <fabs@plt>
  movsd  %xmm0,0x8(%rsp)
  pxor   %xmm0,%xmm0
  call   <fx@plt>
  movsd  D64(%rip),%xmm1
  pxor   %xmm2,%xmm2
  mov    %rbp,%rdi
  movsd  0x8(%rsp),%xmm3
  cvtss2sd %xmm0,%xmm2
  mov    $0x4,%eax
  pxor   %xmm0,%xmm0
  call   <printf@plt>
  movl   $0x3f800000,0x10(%rsp)
  movss  0x10(%rsp),%xmm1
  cs nopw 0x0(%rax,%rax,1)
L16:
  movss  D44(%rip),%xmm4
  movd   %r14d,%xmm2
  movd   %r14d,%xmm0
  mov    %r14d,%r15d
  addss  %xmm2,%xmm4
  movd   %xmm4,%r14d
  call   <dy@plt>
  mulss  D44(%rip),%xmm0
  addss  0x10(%rsp),%xmm0
  movss  %xmm0,0x8(%rsp)
  nopw   0x0(%rax,%rax,1)
L29:
  movss  0x10(%rsp),%xmm1
  movd   %r15d,%xmm0
  call   <dy@plt>
  movss  0x8(%rsp),%xmm1
  movss  %xmm0,0x1c(%rsp)
  movd   %r14d,%xmm0
  call   <dy@plt>
  movss  0x10(%rsp),%xmm5
  movaps %xmm0,%xmm1
  addss  0x1c(%rsp),%xmm1
  movss  0x8(%rsp),%xmm0
  mulss  D40(%rip),%xmm1
  addss  %xmm1,%xmm5
  subss  %xmm5,%xmm0
  movss  %xmm5,0x8(%rsp)
  call   <fabs@plt>
  comisd D7(%rip),%xmm0
  jae    L29
  movd   %r14d,%xmm0
  call   <fx@plt>
  movaps %xmm0,%xmm1
  movss  0x8(%rsp),%xmm0
  subss  %xmm1,%xmm0
  call   <fabs@plt>
  movsd  %xmm0,0x10(%rsp)
  movd   %r14d,%xmm0
  call   <fx@plt>
  pxor   %xmm2,%xmm2
  pxor   %xmm1,%xmm1
  mov    %rbp,%rdi
  movd   %r14d,%xmm4
  movsd  0x10(%rsp),%xmm3
  cvtss2sd %xmm0,%xmm2
  mov    $0x4,%eax
  cvtss2sd %xmm4,%xmm4
  movapd %xmm4,%xmm0
  cvtss2sd 0x8(%rsp),%xmm1
  call   <printf@plt>
  sub    $0x1,%ebx
  je     L20
  movss  0x8(%rsp),%xmm3
  movss  %xmm3,0x10(%rsp)
  movaps %xmm3,%xmm1
  jmp    L16
  nopw   0x0(%rax,%rax,1)
L20:
  add    $0x28,%rsp
  xor    %eax,%eax
  pop    %rbx
  pop    %rbp
  pop    %r14
  pop    %r15
  ret
```

tool_calls: name: read_data
arguments: label: D4
type_infered: string
name: read_data
arguments: label: D75
type_infered: string
name: read_data
arguments: label: D39
type_infered: string
name: read_data
arguments: label: D53
type_infered: byte[4]
name: read_data
arguments: label: D64
type_infered: byte[8]
name: read_data
arguments: label: D44
type_infered: f32
name: read_data
arguments: label: D40
type_infered: byte[4]
name: read_data
arguments: label: D7
type_infered: f64

tool: D4: 
    X	|	Y-computed	|	Y-Actual	|	Abs. Error	|

tool: D75: %f|	%f	|	%f	|	%f	|


tool: D39: ---------------------------------------------------------------------------------

tool: {"D53": [0x00,0x00,0x80,0x3f]}

tool: {"D64": [0x00,0x00,0x00,0x00,0x00,0x00,0xf0,0x3f]}

tool: D44: 0.1

tool: {"D40": [0xcd,0xcc,0x4c,0x3d]}

tool: D7: 5e-05

assistant: ```c
int main(void) {
  float x0, x1, y0, y10, y11;
  float h = 0.1;
  x1 = 0;
  y11 = 1;
  printf("\n    X\t|\tY-computed\t|\tY-Actual\t|\tAbs. Error\t|\n");
  printf("---------------------------------------------------------------------------------\n");
  printf("%f|\t%f\t|\t%f\t|\t%f\t|\n", x1, y11, fx(x1), fabs(y11 - fx(x1)));
  while (x1 <= 1) {
    x0 = x1;
    x1 += h;
    y0 = y11;
    y11 = y0 + h * dy(x0, y0);
    do {
      y10 = y11;
      y11 = y0 + h / 2 * (dy(x0, y0) + dy(x1, y10));
    } while (fabs(y10 - y11) >= 0.00005);
    printf("%f|\t%f\t|\t%f\t|\t%f\t|\n", x1, y11, fx(x1), fabs(y11 - fx(x1)));
  }
}
```