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

```asm
<HO_deriv_19>:
  endbr64
  push   %r15
  push   %r14
  push   %r13
  push   %r12
  push   %rbp
  push   %rbx
  sub    $0x78,%rsp
  movsd  %xmm0,0x8(%rsp)
  movsd  %xmm1,(%rsp)
  movsd  D156(%rip),%xmm1
  call   <pow@plt>
  movsd  %xmm0,0x10(%rsp)
  movsd  0x8(%rsp),%xmm6
  xorpd  D310(%rip),%xmm6
  movapd %xmm6,%xmm0
  movsd  (%rsp),%xmm4
  mulsd  %xmm4,%xmm0
  mulsd  %xmm4,%xmm0
  mulsd  D175(%rip),%xmm0
  call   <exp@plt>
  movsd  %xmm0,0x18(%rsp)
  mov    D19(%rip),%rax
  movq   %rax,%xmm1
  movsd  0x8(%rsp),%xmm0
  call   <pow@plt>
  movq   %xmm0,%rbx
  movsd  D152(%rip),%xmm1
  movsd  (%rsp),%xmm0
  call   <pow@plt>
  movsd  %xmm0,0x20(%rsp)
  movsd  D149(%rip),%xmm1
  movsd  0x8(%rsp),%xmm0
  call   <pow@plt>
  movq   %xmm0,%r15
  movsd  D84(%rip),%xmm1
  movsd  (%rsp),%xmm0
  call   <pow@plt>
  movsd  %xmm0,0x28(%rsp)
  mov    D295(%rip),%rax
  movq   %rax,%xmm1
  movsd  0x8(%rsp),%xmm0
  call   <pow@plt>
  movq   %xmm0,%r14
  movsd  D145(%rip),%xmm1
  movsd  (%rsp),%xmm0
  call   <pow@plt>
  movsd  %xmm0,0x30(%rsp)
  movsd  D44(%rip),%xmm1
  movsd  0x8(%rsp),%xmm0
  call   <pow@plt>
  movq   %xmm0,%r13
  movsd  D215(%rip),%xmm1
  movsd  (%rsp),%xmm0
  call   <pow@plt>
  movsd  %xmm0,0x38(%rsp)
  mov    D110(%rip),%rax
  movq   %rax,%xmm1
  movsd  0x8(%rsp),%xmm0
  call   <pow@plt>
  movsd  %xmm0,0x40(%rsp)
  movsd  D164(%rip),%xmm1
  movsd  (%rsp),%xmm0
  call   <pow@plt>
  movsd  %xmm0,0x48(%rsp)
  movsd  D153(%rip),%xmm1
  movsd  0x8(%rsp),%xmm0
  call   <pow@plt>
  movsd  %xmm0,0x50(%rsp)
  mov    D19(%rip),%rax
  movq   %rax,%xmm1
  movsd  (%rsp),%xmm0
  call   <pow@plt>
  movsd  %xmm0,0x58(%rsp)
  mov    D317(%rip),%rax
  movq   %rax,%xmm1
  movsd  0x8(%rsp),%xmm0
  call   <pow@plt>
  movq   %xmm0,%r12
  mov    D295(%rip),%rax
  movq   %rax,%xmm1
  movsd  (%rsp),%xmm0
  call   <pow@plt>
  movsd  %xmm0,0x60(%rsp)
  movsd  D71(%rip),%xmm1
  movsd  0x8(%rsp),%xmm0
  call   <pow@plt>
  movq   %xmm0,%rbp
  mov    D110(%rip),%rax
  movq   %rax,%xmm1
  movsd  (%rsp),%xmm0
  call   <pow@plt>
  movsd  %xmm0,0x68(%rsp)
  mov    D317(%rip),%rax
  movq   %rax,%xmm1
  movsd  (%rsp),%xmm0
  call   <pow@plt>
  movapd %xmm0,%xmm2
  movq   %rbx,%xmm7
  mulsd  D318(%rip),%xmm7
  movapd %xmm7,%xmm0
  mulsd  0x20(%rsp),%xmm0
  movq   %r15,%xmm1
  mulsd  D240(%rip),%xmm1
  mulsd  0x28(%rsp),%xmm1
  subsd  %xmm1,%xmm0
  movq   %r14,%xmm1
  mulsd  D294(%rip),%xmm1
  mulsd  0x30(%rsp),%xmm1
  addsd  %xmm1,%xmm0
  movq   %r13,%xmm1
  mulsd  D155(%rip),%xmm1
  mulsd  0x38(%rsp),%xmm1
  subsd  %xmm1,%xmm0
  movsd  0x40(%rsp),%xmm1
  mulsd  D46(%rip),%xmm1
  mulsd  0x48(%rsp),%xmm1
  addsd  %xmm1,%xmm0
  movsd  0x50(%rsp),%xmm1
  mulsd  D227(%rip),%xmm1
  mulsd  0x58(%rsp),%xmm1
  subsd  %xmm1,%xmm0
  movq   %r12,%xmm1
  mulsd  D163(%rip),%xmm1
  mulsd  0x60(%rsp),%xmm1
  addsd  %xmm1,%xmm0
  movq   %rbp,%xmm1
  mulsd  D191(%rip),%xmm1
  mulsd  0x68(%rsp),%xmm1
  subsd  %xmm1,%xmm0
  movsd  0x8(%rsp),%xmm5
  movapd %xmm5,%xmm1
  mulsd  D242(%rip),%xmm1
  mulsd  %xmm5,%xmm1
  mulsd  %xmm2,%xmm1
  addsd  %xmm1,%xmm0
  mulsd  D167(%rip),%xmm5
  movapd %xmm5,%xmm1
  movsd  (%rsp),%xmm3
  mulsd  %xmm3,%xmm1
  mulsd  %xmm3,%xmm1
  subsd  %xmm1,%xmm0
  addsd  D102(%rip),%xmm0
  movsd  0x10(%rsp),%xmm1
  mulsd  D188(%rip),%xmm1
  mulsd  0x18(%rsp),%xmm1
  mulsd  %xmm1,%xmm0
  mulsd  D261(%rip),%xmm0
  divsd  D328(%rip),%xmm0
  add    $0x78,%rsp
  pop    %rbx
  pop    %rbp
  pop    %r12
  pop    %r13
  pop    %r14
  pop    %r15
  ret
```

tool_calls: name: disassemble_data
arguments: tag: D156
datatype: byte[8]
name: disassemble_data
arguments: tag: D310
datatype: byte[16]
name: disassemble_data
arguments: tag: D175
datatype: byte[8]
name: disassemble_data
arguments: tag: D19
datatype: f64
name: disassemble_data
arguments: tag: D152
datatype: f64
name: disassemble_data
arguments: tag: D149
datatype: f64
name: disassemble_data
arguments: tag: D84
datatype: f64
name: disassemble_data
arguments: tag: D295
datatype: f64
name: disassemble_data
arguments: tag: D145
datatype: f64
name: disassemble_data
arguments: tag: D44
datatype: f64
name: disassemble_data
arguments: tag: D215
datatype: f64
name: disassemble_data
arguments: tag: D110
datatype: f64
name: disassemble_data
arguments: tag: D164
datatype: f64
name: disassemble_data
arguments: tag: D153
datatype: f64
name: disassemble_data
arguments: tag: D317
datatype: f64
name: disassemble_data
arguments: tag: D71
datatype: f64
name: disassemble_data
arguments: tag: D318
datatype: f64
name: disassemble_data
arguments: tag: D240
datatype: f64
name: disassemble_data
arguments: tag: D294
datatype: f64
name: disassemble_data
arguments: tag: D155
datatype: f64
name: disassemble_data
arguments: tag: D46
datatype: f64
name: disassemble_data
arguments: tag: D227
datatype: f64
name: disassemble_data
arguments: tag: D163
datatype: f64
name: disassemble_data
arguments: tag: D191
datatype: f64
name: disassemble_data
arguments: tag: D242
datatype: f64
name: disassemble_data
arguments: tag: D167
datatype: f64
name: disassemble_data
arguments: tag: D102
datatype: f64
name: disassemble_data
arguments: tag: D188
datatype: byte[8]
name: disassemble_data
arguments: tag: D261
datatype: byte[8]
name: disassemble_data
arguments: tag: D328
datatype: f64

tool: {"D156": [0x00,0x00,0x00,0x00,0x00,0x00,0xe8,0x3f]}

tool: {"D310": [0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x80,0x00,0x00,0x00,0x00,0x00,0x00,0x00,0x00]}

tool: {"D175": [0x00,0x00,0x00,0x00,0x00,0x00,0xe0,0x3f]}

tool: D19: 10

tool: D152: 20

tool: D149: 9

tool: D84: 18

tool: D295: 8

tool: D145: 16

tool: D44: 7

tool: D215: 14

tool: D110: 6

tool: D164: 12

tool: D153: 5

tool: D317: 4

tool: D71: 3

tool: D318: 512

tool: D240: 53504

tool: D294: 2232576

tool: D155: 48372480

tool: D46: 592562880

tool: D227: 4190266080

tool: D163: 16761064320

tool: D191: 35617261680

tool: D242: 35355370050

tool: D167: 12439852425

tool: D102: 654729075

tool: {"D188": [0x29,0x21,0xc2,0xc9,0xff,0x3c,0x85,0xc0]}

tool: {"D261": [0x5f,0xfa,0x11,0x70,0x38,0x09,0xe8,0x3f]}

tool: D328: 167610643200

assistant: ```c
double HO_deriv_19(const double a, const double x) {
  double retval = -sqrt(0.461890e6) * pow(a, 0.3e1 / 0.4e1) * exp(-a * x * x / 0.2e1) * (0.512e3 * pow(a, 0.10e2) * pow(x, 0.20e2) - 0.53504e5 * pow(a, 0.9e1) * pow(x, 0.18e2) + 0.2232576e7 * pow(a, 0.8e1) * pow(x, 0.16e2) - 0.48372480e8 * pow(a, 0.7e1) * pow(x, 0.14e2) + 0.592562880e9 * pow(a, 0.6e1) * pow(x, 0.12e2) - 0.4190266080e10 * pow(a, 0.5e1) * pow(x, 0.10e2) + 0.16761064320e11 * pow(a, 0.4e1) * pow(x, 0.8e1) - 0.35617261680e11 * pow(a, 0.3e1) * pow(x, 0.6e1) + 0.35355370050e11 * a * a * pow(x, 0.4e1) - 0.12439852425e11 * a * x * x + 0.654729075e9) * pow(0.3141592654e1, -0.1e1 / 0.4e1) / 0.167610643200e12;
  return retval;
}
```