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

```asm
<HO_deriv_32>:
  endbr64
  push   %r15
  push   %r14
  push   %rbx
  sub    $0xf0,%rsp
  movsd  %xmm1,0x8(%rsp)
  movsd  D82(%rip),%xmm1
  movsd  %xmm0,0x10(%rsp)
  call   <pow@plt>
  movsd  0x8(%rsp),%xmm2
  movq   D427(%rip),%xmm12
  movsd  %xmm0,0xe8(%rsp)
  movsd  0x10(%rsp),%xmm0
  xorpd  %xmm12,%xmm0
  mulsd  %xmm2,%xmm0
  mulsd  %xmm2,%xmm0
  mulsd  D296(%rip),%xmm0
  call   <exp@plt>
  movsd  D198(%rip),%xmm5
  movsd  %xmm0,0x18(%rsp)
  movsd  0x10(%rsp),%xmm0
  movapd %xmm5,%xmm1
  call   <pow@plt>
  movsd  D359(%rip),%xmm1
  movsd  %xmm0,0x20(%rsp)
  movsd  0x8(%rsp),%xmm0
  call   <pow@plt>
  movsd  D100(%rip),%xmm1
  movsd  %xmm0,0x28(%rsp)
  movsd  0x10(%rsp),%xmm0
  call   <pow@plt>
  movsd  D103(%rip),%xmm1
  movq   %xmm0,%rbx
  movsd  0x8(%rsp),%xmm0
  call   <pow@plt>
  movsd  D489(%rip),%xmm4
  movsd  %xmm0,0x30(%rsp)
  movsd  0x10(%rsp),%xmm0
  movapd %xmm4,%xmm1
  call   <pow@plt>
  movsd  D78(%rip),%xmm1
  movq   %xmm0,%r14
  movsd  0x8(%rsp),%xmm0
  call   <pow@plt>
  movsd  D244(%rip),%xmm1
  movsd  %xmm0,0x38(%rsp)
  movsd  0x10(%rsp),%xmm0
  call   <pow@plt>
  movsd  D35(%rip),%xmm1
  movsd  %xmm0,0xe0(%rsp)
  movsd  0x8(%rsp),%xmm0
  call   <pow@plt>
  movsd  D238(%rip),%xmm13
  movsd  %xmm0,0x40(%rsp)
  movsd  0x10(%rsp),%xmm0
  movapd %xmm13,%xmm1
  call   <pow@plt>
  movsd  D311(%rip),%xmm1
  movsd  %xmm0,0xd8(%rsp)
  movsd  0x8(%rsp),%xmm0
  call   <pow@plt>
  movsd  D41(%rip),%xmm1
  movsd  %xmm0,0x48(%rsp)
  movsd  0x10(%rsp),%xmm0
  call   <pow@plt>
  movsd  D87(%rip),%xmm1
  movsd  %xmm0,0xd0(%rsp)
  movsd  0x8(%rsp),%xmm0
  call   <pow@plt>
  movsd  D233(%rip),%xmm3
  movsd  %xmm0,0x50(%rsp)
  movsd  0x10(%rsp),%xmm0
  movapd %xmm3,%xmm1
  call   <pow@plt>
  movsd  D225(%rip),%xmm1
  movsd  %xmm0,0xc8(%rsp)
  movsd  0x8(%rsp),%xmm0
  call   <pow@plt>
  movsd  D188(%rip),%xmm1
  movsd  %xmm0,0x58(%rsp)
  movsd  0x10(%rsp),%xmm0
  call   <pow@plt>
  movsd  D51(%rip),%xmm1
  movsd  %xmm0,0xc0(%rsp)
  movsd  0x8(%rsp),%xmm0
  call   <pow@plt>
  movsd  D147(%rip),%xmm15
  movsd  %xmm0,0x60(%rsp)
  movsd  0x10(%rsp),%xmm0
  movapd %xmm15,%xmm1
  call   <pow@plt>
  mov    D198(%rip),%rax
  movsd  %xmm0,0xb8(%rsp)
  movsd  0x8(%rsp),%xmm0
  movq   %rax,%xmm1
  call   <pow@plt>
  movsd  D7(%rip),%xmm1
  movsd  %xmm0,0x68(%rsp)
  movsd  0x10(%rsp),%xmm0
  call   <pow@plt>
  mov    D489(%rip),%rax
  movsd  %xmm0,0xb0(%rsp)
  movsd  0x8(%rsp),%xmm0
  movq   %rax,%xmm1
  call   <pow@plt>
  movsd  D21(%rip),%xmm14
  movsd  %xmm0,0x70(%rsp)
  movsd  0x10(%rsp),%xmm0
  movapd %xmm14,%xmm1
  call   <pow@plt>
  mov    D238(%rip),%rax
  movsd  %xmm0,0xa8(%rsp)
  movsd  0x8(%rsp),%xmm0
  movq   %rax,%xmm1
  call   <pow@plt>
  movsd  D300(%rip),%xmm1
  movsd  %xmm0,0x78(%rsp)
  movsd  0x10(%rsp),%xmm0
  call   <pow@plt>
  mov    D233(%rip),%rax
  movq   %xmm0,%r15
  movsd  0x8(%rsp),%xmm0
  movq   %rax,%xmm1
  call   <pow@plt>
  movsd  D3(%rip),%xmm13
  movsd  %xmm0,0x80(%rsp)
  movsd  0x10(%rsp),%xmm0
  movapd %xmm13,%xmm1
  call   <pow@plt>
  mov    D147(%rip),%rax
  movsd  %xmm0,0xa0(%rsp)
  movsd  0x8(%rsp),%xmm0
  movq   %rax,%xmm1
  call   <pow@plt>
  movsd  D230(%rip),%xmm1
  movsd  %xmm0,0x88(%rsp)
  movsd  0x10(%rsp),%xmm0
  call   <pow@plt>
  mov    D21(%rip),%rax
  movsd  %xmm0,0x98(%rsp)
  movsd  0x8(%rsp),%xmm0
  movq   %rax,%xmm1
  call   <pow@plt>
  mov    D3(%rip),%rax
  movsd  %xmm0,0x90(%rsp)
  movsd  0x8(%rsp),%xmm0
  movq   %rax,%xmm1
  call   <pow@plt>
  movq   %rbx,%xmm3
  movsd  0x20(%rsp),%xmm1
  movq   %r14,%xmm4
  mulsd  D192(%rip),%xmm3
  movapd %xmm0,%xmm13
  movsd  0x30(%rsp),%xmm0
  movsd  0xe0(%rsp),%xmm11
  mulsd  0x28(%rsp),%xmm1
  mulsd  D56(%rip),%xmm4
  movsd  0xd8(%rsp),%xmm10
  mulsd  D57(%rip),%xmm11
  movsd  0xd0(%rsp),%xmm9
  mulsd  0x40(%rsp),%xmm11
  movsd  0xc8(%rsp),%xmm8
  mulsd  %xmm3,%xmm0
  movsd  0xc0(%rsp),%xmm7
  movsd  0xb8(%rsp),%xmm6
  mulsd  D275(%rip),%xmm10
  movsd  0xb0(%rsp),%xmm5
  mulsd  0x48(%rsp),%xmm10
  mulsd  D444(%rip),%xmm9
  mulsd  0x50(%rsp),%xmm9
  subsd  %xmm0,%xmm1
  movsd  0x38(%rsp),%xmm0
  mulsd  D506(%rip),%xmm8
  mulsd  0x58(%rsp),%xmm8
  mulsd  %xmm4,%xmm0
  movsd  0xa8(%rsp),%xmm4
  mulsd  D5(%rip),%xmm7
  mulsd  0x60(%rsp),%xmm7
  mulsd  D163(%rip),%xmm6
  mulsd  0x68(%rsp),%xmm6
  addsd  %xmm0,%xmm1
  mulsd  D510(%rip),%xmm5
  mulsd  0x70(%rsp),%xmm5
  mulsd  D149(%rip),%xmm4
  subsd  %xmm11,%xmm1
  mulsd  0x78(%rsp),%xmm4
  addsd  %xmm10,%xmm1
  movapd %xmm1,%xmm0
  movq   %r15,%xmm1
  subsd  %xmm9,%xmm0
  mulsd  D286(%rip),%xmm1
  mulsd  0x80(%rsp),%xmm1
  movsd  0xa0(%rsp),%xmm3
  mulsd  D127(%rip),%xmm3
  movsd  0x98(%rsp),%xmm15
  mulsd  0x88(%rsp),%xmm3
  addsd  %xmm8,%xmm0
  movq   D427(%rip),%xmm12
  mulsd  D295(%rip),%xmm15
  movsd  0xe8(%rsp),%xmm2
  mulsd  0x90(%rsp),%xmm15
  subsd  %xmm7,%xmm0
  movsd  0x8(%rsp),%xmm7
  xorpd  %xmm12,%xmm2
  mulsd  D242(%rip),%xmm2
  mulsd  0x18(%rsp),%xmm2
  addsd  %xmm6,%xmm0
  movsd  0x10(%rsp),%xmm6
  subsd  %xmm5,%xmm0
  mulsd  %xmm7,%xmm2
  addsd  %xmm4,%xmm0
  subsd  %xmm1,%xmm0
  movsd  D263(%rip),%xmm1
  mulsd  %xmm6,%xmm1
  addsd  %xmm3,%xmm0
  subsd  %xmm15,%xmm0
  mulsd  %xmm6,%xmm1
  mulsd  D68(%rip),%xmm6
  mulsd  %xmm13,%xmm1
  addsd  %xmm1,%xmm0
  movapd %xmm6,%xmm1
  mulsd  %xmm7,%xmm1
  mulsd  %xmm7,%xmm1
  subsd  %xmm1,%xmm0
  addsd  D381(%rip),%xmm0
  mulsd  %xmm2,%xmm0
  mulsd  D164(%rip),%xmm0
  divsd  D2(%rip),%xmm0
  add    $0xf0,%rsp
  pop    %rbx
  pop    %r14
  pop    %r15
  ret
```

tool_calls: name: extract_symbolic_data
arguments: data_label: D82
type_guessed: byte[8]
name: extract_symbolic_data
arguments: data_label: D427
type_guessed: byte[8]
name: extract_symbolic_data
arguments: data_label: D296
type_guessed: byte[8]
name: extract_symbolic_data
arguments: data_label: D198
type_guessed: f64
name: extract_symbolic_data
arguments: data_label: D359
type_guessed: f64
name: extract_symbolic_data
arguments: data_label: D100
type_guessed: f64
name: extract_symbolic_data
arguments: data_label: D103
type_guessed: f64
name: extract_symbolic_data
arguments: data_label: D489
type_guessed: f64
name: extract_symbolic_data
arguments: data_label: D78
type_guessed: f64
name: extract_symbolic_data
arguments: data_label: D244
type_guessed: f64
name: extract_symbolic_data
arguments: data_label: D35
type_guessed: f64
name: extract_symbolic_data
arguments: data_label: D238
type_guessed: f64
name: extract_symbolic_data
arguments: data_label: D311
type_guessed: f64
name: extract_symbolic_data
arguments: data_label: D41
type_guessed: f64
name: extract_symbolic_data
arguments: data_label: D87
type_guessed: f64
name: extract_symbolic_data
arguments: data_label: D233
type_guessed: f64
name: extract_symbolic_data
arguments: data_label: D225
type_guessed: f64
name: extract_symbolic_data
arguments: data_label: D188
type_guessed: f64
name: extract_symbolic_data
arguments: data_label: D51
type_guessed: f64
name: extract_symbolic_data
arguments: data_label: D147
type_guessed: f64
name: extract_symbolic_data
arguments: data_label: D7
type_guessed: f64
name: extract_symbolic_data
arguments: data_label: D21
type_guessed: f64
name: extract_symbolic_data
arguments: data_label: D300
type_guessed: f64
name: extract_symbolic_data
arguments: data_label: D3
type_guessed: f64
name: extract_symbolic_data
arguments: data_label: D230
type_guessed: f64
name: extract_symbolic_data
arguments: data_label: D192
type_guessed: f64
name: extract_symbolic_data
arguments: data_label: D56
type_guessed: f64
name: extract_symbolic_data
arguments: data_label: D57
type_guessed: f64
name: extract_symbolic_data
arguments: data_label: D275
type_guessed: byte[8]
name: extract_symbolic_data
arguments: data_label: D444
type_guessed: byte[8]
name: extract_symbolic_data
arguments: data_label: D506
type_guessed: byte[8]
name: extract_symbolic_data
arguments: data_label: D5
type_guessed: byte[8]
name: extract_symbolic_data
arguments: data_label: D163
type_guessed: byte[8]
name: extract_symbolic_data
arguments: data_label: D510
type_guessed: byte[8]
name: extract_symbolic_data
arguments: data_label: D149
type_guessed: byte[8]
name: extract_symbolic_data
arguments: data_label: D286
type_guessed: byte[8]
name: extract_symbolic_data
arguments: data_label: D127
type_guessed: byte[8]
name: extract_symbolic_data
arguments: data_label: D295
type_guessed: byte[8]
name: extract_symbolic_data
arguments: data_label: D242
type_guessed: byte[8]
name: extract_symbolic_data
arguments: data_label: D263
type_guessed: byte[8]
name: extract_symbolic_data
arguments: data_label: D68
type_guessed: byte[8]
name: extract_symbolic_data
arguments: data_label: D381
type_guessed: byte[8]
name: extract_symbolic_data
arguments: data_label: D164
type_guessed: byte[8]
name: extract_symbolic_data
arguments: data_label: D2
type_guessed: f64

tool: {"D82": [0x00,0x00,0x00,0x00,0x00,0x00,0xf4,0x3f]}

tool: {"D427": [0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x80]}

tool: {"D296": [0x00,0x00,0x00,0x00,0x00,0x00,0xe0,0x3f]}

tool: D198: 16

tool: D359: 32

tool: D100: 15

tool: D103: 30

tool: D489: 14

tool: D78: 28

tool: D244: 13

tool: D35: 26

tool: D238: 12

tool: D311: 24

tool: D41: 11

tool: D87: 22

tool: D233: 10

tool: D225: 20

tool: D188: 9

tool: D51: 18

tool: D147: 8

tool: D7: 7

tool: D21: 6

tool: D300: 5

tool: D3: 4

tool: D230: 3

tool: D192: 280

tool: D56: 34410

tool: D57: 2454270

tool: {"D275": [0x00,0x00,0x00,0x0f,0x60,0xfd,0x9a,0x41]}

tool: {"D444": [0x00,0x00,0x30,0x4d,0x84,0x89,0xea,0x41]}

tool: {"D506": [0x00,0x60,0xc7,0xb5,0x1e,0x4c,0x32,0x42]}

tool: {"D5": [0x00,0x8e,0xa8,0xbc,0x88,0xea,0x71,0x42]}

tool: {"D163": [0xcc,0x86,0xa7,0x61,0x0f,0xf4,0xa8,0x42]}

tool: {"D510": [0x02,0x37,0x50,0x6b,0x6b,0x87,0xd8,0x42]}

tool: {"D149": [0xfc,0x1d,0xa8,0xc9,0x78,0xba,0x00,0x43]}

tool: {"D286": [0xf4,0x75,0x93,0xd3,0x21,0xc6,0x1e,0x43]}

tool: {"D127": [0x09,0x8e,0x9f,0x15,0xa4,0x45,0x32,0x43]}

tool: {"D295": [0x60,0x54,0xf7,0xc8,0xfc,0x2f,0x3a,0x43]}

tool: {"D242": [0x5f,0xfa,0x11,0x70,0x38,0x09,0xe8,0x3f]}

tool: {"D263": [0xd5,0x39,0x12,0x52,0x6e,0x4e,0x34,0x43]}

tool: {"D68": [0x2e,0x9b,0x8e,0xbc,0x7e,0xf6,0x1b,0x43]}

tool: {"D381": [0xf0,0xae,0xc3,0xc8,0x4f,0xa3,0xe5,0x42]}

tool: {"D164": [0x13,0x65,0xc9,0x49,0x50,0xec,0xbf,0x40]}

tool: D2: 6.396626132083687e+16

assistant: ```c
double HO_deriv_32(const double a, const double x) {
  double retval = -pow(a, 0.5e1 / 0.4e1) * pow(0.3141592654e1, -0.1e1 / 0.4e1) * exp(-a * x * x / 0.2e1) * x * (pow(a, 0.16e2) * pow(x, 0.32e2) - 0.280e3 * pow(a, 0.15e2) * pow(x, 0.30e2) + 0.34410e5 * pow(a, 0.14e2) * pow(x, 0.28e2) - 0.2454270e7 * pow(a, 0.13e2) * pow(x, 0.26e2) + 0.452812815e9 / 0.4e1 * pow(a, 0.12e2) * pow(x, 0.24e2) - 0.7123518675e10 / 0.2e1 * pow(a, 0.11e2) * pow(x, 0.22e2) + 0.628691938875e12 / 0.8e1 * pow(a, 0.10e2) * pow(x, 0.20e2) - 0.9849507042375e13 / 0.8e1 * pow(a, 0.9e1) * pow(x, 0.18e2) + 0.1755936585277875e16 / 0.128e3 * pow(a, 0.8e1) * pow(x, 0.16e2) - 0.3452147436362625e16 / 0.32e2 * pow(a, 0.7e1) * pow(x, 0.14e2) + 0.75338041111207875e17 / 0.128e3 * pow(a, 0.6e1) * pow(x, 0.12e2) - 0.277187132390293125e18 / 0.128e3 * pow(a, 0.5e1) * pow(x, 0.10e2) + 0.5266555515415569375e19 / 0.1024e4 * pow(a, 0.4e1) * pow(x, 0.8e1) - 0.3774009417929375625e19 / 0.512e3 * pow(a, 0.3e1) * pow(x, 0.6e1) + 0.11705825821713148125e20 / 0.2048e4 * a * a * pow(x, 0.4e1) - 0.4029874463212723125e19 / 0.2048e4 * a * x * x + 0.12473420957563190625e20 / 0.65536e5) * sqrt(0.66786710e8) / 0.63966261320836875e17;
  return retval;
}
```