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

```asm
<R_Pauli>:
  endbr64
  push   %r15
  push   %r14
  push   %r13
  push   %r12
  push   %rbp
  push   %rbx
  sub    $0x168,%rsp
  mov    %edi,0xac(%rsp)
  mov    %esi,0xa8(%rsp)
  mov    %rdx,0x60(%rsp)
  mov    %rcx,0x128(%rsp)
  mov    %r8,0x130(%rsp)
  mov    %r9,%r15
  mov    0x1a0(%rsp),%r13
  movsd  (%r8),%xmm7
  movsd  %xmm7,0x30(%rsp)
  lea    0x1(%rsi),%eax
  imul   %esi,%eax
  pxor   %xmm6,%xmm6
  cvtsi2sd %eax,%xmm6
  movsd  %xmm6,0x40(%rsp)
  test   %esi,%esi
  jne    L84
  movapd %xmm0,%xmm1
  mulsd  D314(%rip),%xmm1
  mulsd  %xmm0,%xmm1
  movsd  D234(%rip),%xmm0
  subsd  %xmm1,%xmm0
  pxor   %xmm1,%xmm1
  ucomisd %xmm0,%xmm1
  ja     L188
  sqrtsd %xmm0,%xmm0
  movsd  %xmm0,0x50(%rsp)
  jmp    L375
L188:
  call   <sqrt@plt>
  movsd  %xmm0,0x50(%rsp)
  jmp    L375
L84:
  pxor   %xmm6,%xmm6
  cvtsi2sdl 0xa8(%rsp),%xmm6
  movsd  %xmm6,0x8(%rsp)
  movapd %xmm0,%xmm1
  mulsd  D314(%rip),%xmm1
  movapd %xmm1,%xmm7
  mulsd  %xmm0,%xmm7
  movsd  %xmm7,0x10(%rsp)
  movapd %xmm6,%xmm0
  mulsd  %xmm6,%xmm0
  subsd  %xmm7,%xmm0
  pxor   %xmm1,%xmm1
  ucomisd %xmm0,%xmm1
  ja     L165
  sqrtsd %xmm0,%xmm0
L163:
  movsd  0x8(%rsp),%xmm4
  mulsd  %xmm4,%xmm0
  movsd  %xmm0,0x18(%rsp)
  addsd  D234(%rip),%xmm4
  movsd  %xmm4,0x20(%rsp)
  movapd %xmm4,%xmm0
  mulsd  %xmm4,%xmm0
  subsd  0x10(%rsp),%xmm0
  pxor   %xmm1,%xmm1
  ucomisd %xmm0,%xmm1
  ja     L151
  sqrtsd %xmm0,%xmm0
L410:
  mulsd  0x20(%rsp),%xmm0
  movsd  0x18(%rsp),%xmm1
  addsd  %xmm0,%xmm1
  movsd  0x8(%rsp),%xmm0
  addsd  %xmm0,%xmm0
  addsd  D234(%rip),%xmm0
  divsd  %xmm0,%xmm1
  movsd  %xmm1,0x50(%rsp)
L375:
  mov    $0x0,%eax
  call   <N_LogGrid@plt>
  mov    %eax,%r14d
  mov    %eax,0x6c(%rsp)
  mov    $0x0,%eax
  call   <log_amesh_LogGrid@plt>
  pxor   %xmm4,%xmm4
  cvtsi2sd %eax,%xmm4
  movsd  %xmm4,0x10(%rsp)
  mulsd  %xmm4,%xmm4
  movsd  %xmm4,0x38(%rsp)
  mov    $0x0,%eax
  call   <r_LogGrid@plt>
  mov    %eax,%ebp
  cltq
  mov    %rax,0xc8(%rsp)
  mov    $0x0,%eax
  call   <alloc_LogGrid@plt>
  mov    %eax,%ebx
  movslq %eax,%rdi
  mov    %rdi,0xd8(%rsp)
  mov    $0x0,%eax
  call   <alloc_LogGrid@plt>
  mov    %eax,%r12d
  movslq %eax,%rdi
  mov    %rdi,0x8(%rsp)
  mov    $0x0,%eax
  call   <alloc_LogGrid@plt>
  mov    %eax,0x68(%rsp)
  movslq %eax,%rsi
  mov    %rsi,0xe0(%rsp)
  mov    $0x0,%eax
  call   <alloc_LogGrid@plt>
  mov    %eax,0xa0(%rsp)
  movslq %eax,%rdi
  mov    %rdi,0xe8(%rsp)
  mov    $0x0,%eax
  call   <alloc_LogGrid@plt>
  mov    %eax,0x100(%rsp)
  movslq %eax,%rsi
  mov    %rsi,0x90(%rsp)
  movslq %r14d,%rax
  shl    $0x3,%rax
  movsd  0x40(%rsp),%xmm2
  mulsd  D135(%rip),%xmm2
  mov    0xc8(%rsp),%rcx
  movsd  -0x8(%rcx,%rax,1),%xmm0
  mulsd  %xmm0,%xmm0
  movapd %xmm2,%xmm1
  divsd  %xmm0,%xmm1
  mov    0x60(%rsp),%rdi
  addsd  -0x8(%rdi,%rax,1),%xmm1
  movsd  %xmm1,0x88(%rsp)
  test   %r14d,%r14d
  jle    L131
  movslq %ebp,%rsi
  lea    -0x1(%r14),%eax
  lea    0x8(%rsi,%rax,8),%rcx
  mov    %rsi,%rax
  pxor   %xmm1,%xmm1
  sub    %rsi,%rdi
  mov    %rdi,%rdx
L357:
  movsd  (%rax),%xmm0
  mulsd  %xmm0,%xmm0
  movapd %xmm2,%xmm3
  divsd  %xmm0,%xmm3
  addsd  (%rdx,%rax,1),%xmm3
  minsd  %xmm3,%xmm1
  add    $0x8,%rax
  cmp    %rcx,%rax
  jne    L357
  movsd  %xmm1,0x98(%rsp)
L482:
  movsd  0x30(%rsp),%xmm7
  movsd  0x88(%rsp),%xmm6
  comisd %xmm6,%xmm7
  jbe    L111
  mulsd  D289(%rip),%xmm6
  movsd  %xmm6,0x30(%rsp)
L111:
  movsd  0x98(%rsp),%xmm4
  comisd 0x30(%rsp),%xmm4
  jbe    L516
  mulsd  D106(%rip),%xmm4
  movsd  %xmm4,0x30(%rsp)
L516:
  movsd  0x30(%rsp),%xmm4
  movsd  0x88(%rsp),%xmm7
  comisd %xmm7,%xmm4
  jbe    L393
  movapd %xmm7,%xmm0
  addsd  0x98(%rsp),%xmm0
  mulsd  D135(%rip),%xmm0
  movsd  %xmm0,0x30(%rsp)
L393:
  movslq %r12d,%rax
  mov    %rax,0x78(%rsp)
  lea    0x20(%rax),%rsi
  mov    %rsi,0xf8(%rsp)
  mov    %r15,%rcx
  sub    %rax,%rcx
  mov    %r13,%rdx
  sub    %rax,%rdx
L251:
  movq   $0x0,(%rcx,%rax,1)
  movq   $0x0,(%rdx,%rax,1)
  movq   $0x0,(%rax)
  add    $0x8,%rax
  cmp    %rsi,%rax
  jne    L251
  movslq %ebp,%rcx
  mov    %rcx,0x70(%rsp)
  mov    0x6c(%rsp),%eax
  sub    $0x1,%eax
  mov    %eax,%edx
  shl    $0x3,%rdx
  lea    0x8(%rcx,%rdx,1),%rcx
  mov    %rcx,0xc0(%rsp)
  mov    0x60(%rsp),%rcx
  lea    0x8(%rcx,%rdx,1),%rcx
  mov    %rcx,0xb8(%rsp)
  movslq %ebx,%rcx
  mov    %rcx,0x80(%rsp)
  sub    $0x8,%rcx
  mov    %rcx,0x140(%rsp)
  cltq
  lea    (%rcx,%rax,8),%rax
  mov    %rax,0xb0(%rsp)
  movl   $0x64,0x104(%rsp)
  movsd  D13(%rip),%xmm6
  movsd  %xmm6,0x138(%rsp)
  mov    %r15,%r14
  jmp    L79
L165:
  call   <sqrt@plt>
  jmp    L163
L151:
  call   <sqrt@plt>
  jmp    L410
L131:
  pxor   %xmm6,%xmm6
  movsd  %xmm6,0x98(%rsp)
  jmp    L482
L499:
  mov    %ebx,0xa4(%rsp)
  mov    %rcx,0xd0(%rsp)
  mov    0xac(%rsp),%edx
  sub    0xa8(%rsp),%edx
  cmp    $0x1,%edx
  jle    L347
  sub    $0x1,%edx
  movsd  D234(%rip),%xmm6
  movsd  %xmm6,0x18(%rsp)
  mov    $0x0,%eax
L540:
  movsd  0x18(%rsp),%xmm7
  xorpd  D6(%rip),%xmm7
  movsd  %xmm7,0x18(%rsp)
  add    $0x1,%eax
  cmp    %edx,%eax
  jne    L540
L201:
  mov    $0x0,%ebp
  movslq 0xa0(%rsp),%rax
  mov    %rax,0xf0(%rsp)
  mov    %rbx,0x20(%rsp)
  mov    %rax,%rbx
  mov    0x80(%rsp),%r12
  mov    0x70(%rsp),%r15
L139:
  movsd  0x0(%rbp,%r15,1),%xmm0
  movsd  0x50(%rsp),%xmm1
  call   <pow@plt>
  mulsd  0x18(%rsp),%xmm0
  movsd  %xmm0,(%r14,%rbp,1)
  movsd  0x50(%rsp),%xmm1
  movsd  0x10(%rsp),%xmm5
  mulsd  %xmm5,%xmm1
  mulsd  %xmm0,%xmm1
  movsd  %xmm1,0x0(%r13,%rbp,1)
  movslq 0x68(%rsp),%rax
  movsd  0x0(%rbp,%r12,1),%xmm0
  addsd  0x0(%rbp,%rax,1),%xmm0
  mulsd  (%r14,%rbp,1),%xmm0
  addsd  0x0(%rbp,%rbx,1),%xmm5
  mulsd  %xmm5,%xmm1
  addsd  %xmm1,%xmm0
  mov    0x78(%rsp),%rcx
  movsd  %xmm0,0x0(%rbp,%rcx,1)
  add    $0x8,%rbp
  cmp    $0x20,%rbp
  jne    L139
  mov    %rax,0x108(%rsp)
  mov    0x20(%rsp),%rbx
  cmpl   $0x3,0xa4(%rsp)
  jle    L236
  mov    0xf0(%rsp),%rcx
  add    $0x20,%rcx
  mov    %rcx,0x18(%rsp)
  mov    0x80(%rsp),%rcx
  lea    0x20(%rcx),%r15
  add    $0x20,%rax
  mov    %rax,0x20(%rsp)
  mov    %ebx,%eax
  mov    %rax,0x58(%rsp)
  mov    0xf8(%rsp),%rax
  mov    %rax,0x28(%rsp)
  mov    $0x3,%ebx
  movl   $0x0,0x4c(%rsp)
  jmp    L26
L347:
  movsd  D234(%rip),%xmm4
  movsd  %xmm4,0x18(%rsp)
  jmp    L201
L294:
  mulsd  (%r14,%rbx,8),%xmm0
  pxor   %xmm7,%xmm7
  comisd %xmm0,%xmm7
  sbbl   $0xffffffff,0x4c(%rsp)
  add    $0x1,%rbx
  addq   $0x8,0x18(%rsp)
  add    $0x8,%r15
  addq   $0x8,0x20(%rsp)
  addq   $0x8,0x28(%rsp)
  cmp    %rbx,0x58(%rsp)
  je     L77
L26:
  mov    %ebx,%r12d
  mov    %r13,%rdx
  mov    %r14,%rsi
  mov    %ebx,%edi
  mov    $0x0,%eax
  call   <Predictor_Out@plt>
  pxor   %xmm0,%xmm0
  cvtsi2sd %eax,%xmm0
  movsd  %xmm0,0x8(%r14,%rbx,8)
  mov    0x8(%rsp),%rdx
  mov    %r13,%rsi
  mov    %ebx,%edi
  mov    $0x0,%eax
  call   <Predictor_Out@plt>
  pxor   %xmm0,%xmm0
  cvtsi2sd %eax,%xmm0
  movsd  %xmm0,0x8(%r13,%rbx,8)
  mov    $0x6,%ebp
L427:
  movsd  (%r15),%xmm0
  mov    0x20(%rsp),%rax
  addsd  (%rax),%xmm0
  mulsd  0x8(%r14,%rbx,8),%xmm0
  mov    0x18(%rsp),%rax
  movsd  0x10(%rsp),%xmm1
  addsd  (%rax),%xmm1
  mulsd  0x8(%r13,%rbx,8),%xmm1
  addsd  %xmm1,%xmm0
  mov    0x28(%rsp),%rax
  movsd  %xmm0,(%rax)
  mov    0x8(%rsp),%rdx
  mov    %r13,%rsi
  mov    %r12d,%edi
  mov    $0x0,%eax
  call   <Corrector_Out@plt>
  pxor   %xmm0,%xmm0
  cvtsi2sd %eax,%xmm0
  movsd  %xmm0,0x8(%r13,%rbx,8)
  mov    %r13,%rdx
  mov    %r14,%rsi
  mov    %r12d,%edi
  mov    $0x0,%eax
  call   <Corrector_Out@plt>
  pxor   %xmm0,%xmm0
  cvtsi2sd %eax,%xmm0
  movsd  %xmm0,0x8(%r14,%rbx,8)
  sub    $0x1,%ebp
  jne    L427
  jmp    L294
L236:
  movl   $0x0,0x4c(%rsp)
L77:
  mov    0xd0(%rsp),%rcx
  lea    (%r14,%rcx,1),%rax
  mov    %rax,0x110(%rsp)
  movsd  (%rax),%xmm7
  movsd  %xmm7,0x58(%rsp)
  lea    0x0(%r13,%rcx,1),%rax
  mov    %rax,0x118(%rsp)
  movsd  (%rax),%xmm6
  movsd  %xmm6,0x120(%rsp)
  mov    0x4c(%rsp),%eax
  sub    0xac(%rsp),%eax
  add    0xa8(%rsp),%eax
  cmp    $0xffffffff,%eax
  jl     L213
  test   %eax,%eax
  js     L422
  movsd  0x30(%rsp),%xmm4
  movapd %xmm4,%xmm0
  addsd  0x98(%rsp),%xmm0
  movsd  %xmm4,0x88(%rsp)
  mulsd  D135(%rip),%xmm0
  movsd  %xmm0,0x30(%rsp)
L578:
  subl   $0x1,0x104(%rsp)
  je     L537
L79:
  cmpl   $0x0,0x6c(%rsp)
  jle    L177
  mov    0x70(%rsp),%rdi
  mov    %rdi,%rax
  mov    0x80(%rsp),%rcx
  sub    %rdi,%rcx
  mov    0x60(%rsp),%rdx
  sub    %rdi,%rdx
  mov    0xc0(%rsp),%rsi
L576:
  movsd  (%rax),%xmm1
  movsd  (%rdx,%rax,1),%xmm0
  subsd  0x30(%rsp),%xmm0
  addsd  %xmm0,%xmm0
  mulsd  %xmm1,%xmm1
  mulsd  %xmm1,%xmm0
  addsd  0x40(%rsp),%xmm0
  mulsd  0x38(%rsp),%xmm0
  movsd  %xmm0,(%rcx,%rax,1)
  add    $0x8,%rax
  cmp    %rsi,%rax
  jne    L576
  mov    0x90(%rsp),%rsi
  mov    0x60(%rsp),%rbx
  mov    %rbx,%rdi
  mov    $0x0,%eax
  call   <Derivative_LogGrid@plt>
  mov    %rbx,%rax
  mov    0x70(%rsp),%rdi
  sub    %rbx,%rdi
  movslq 0x100(%rsp),%rsi
  sub    %rbx,%rsi
  movslq 0x68(%rsp),%rcx
  sub    %rbx,%rcx
  movsd  D146(%rip),%xmm2
  movsd  D234(%rip),%xmm3
  movsd  D58(%rip),%xmm6
  movslq 0xa0(%rsp),%rdx
  sub    %rbx,%rdx
  movsd  0x10(%rsp),%xmm7
  xorpd  D6(%rip),%xmm7
  movsd  D135(%rip),%xmm5
  movsd  D314(%rip),%xmm4
  mov    0xb8(%rsp),%r8
L308:
  lea    (%rdi,%rax,1),%r10
  movsd  (%r10),%xmm1
  movsd  (%rax),%xmm10
  movapd %xmm10,%xmm9
  movsd  0x30(%rsp),%xmm11
  subsd  %xmm11,%xmm9
  lea    (%rsi,%rax,1),%r9
  movapd %xmm2,%xmm0
  mulsd  (%r9),%xmm0
  movapd %xmm11,%xmm8
  subsd  %xmm10,%xmm8
  mulsd  %xmm2,%xmm8
  addsd  %xmm3,%xmm8
  mulsd  %xmm1,%xmm8
  divsd  %xmm8,%xmm0
  movapd %xmm9,%xmm8
  mulsd  %xmm6,%xmm8
  mulsd  %xmm9,%xmm8
  addsd  %xmm8,%xmm0
  mulsd  %xmm1,%xmm1
  mulsd  0x38(%rsp),%xmm1
  mulsd  %xmm1,%xmm0
  movsd  %xmm0,(%rcx,%rax,1)
  movapd %xmm7,%xmm0
  mulsd  (%r10),%xmm0
  mulsd  %xmm5,%xmm0
  mulsd  %xmm4,%xmm0
  mulsd  (%r9),%xmm0
  movapd %xmm11,%xmm1
  subsd  (%rax),%xmm1
  mulsd  %xmm2,%xmm1
  addsd  %xmm3,%xmm1
  divsd  %xmm1,%xmm0
  movsd  %xmm0,(%rdx,%rax,1)
  add    $0x8,%rax
  cmp    %r8,%rax
  jne    L308
L304:
  mov    0x6c(%rsp),%eax
  lea    -0x1(%rax),%ebx
  movslq %ebx,%rbx
  mov    0xb0(%rsp),%rax
  pxor   %xmm1,%xmm1
L85:
  lea    0x0(,%rbx,8),%rcx
  movsd  0x8(%rax),%xmm0
  mulsd  (%rax),%xmm0
  comisd %xmm1,%xmm0
  jbe    L499
  sub    $0x1,%rbx
  sub    $0x8,%rax
  cmp    $0x1,%ebx
  jg     L85
  lea    D306(%rip),%rdi
  call   <puts@plt>
  mov    0xd8(%rsp),%rdi
  mov    $0x0,%eax
  call   <dealloc_LogGrid@plt>
  mov    0x8(%rsp),%rdi
  mov    $0x0,%eax
  call   <dealloc_LogGrid@plt>
  mov    0xe0(%rsp),%rdi
  mov    $0x0,%eax
  call   <dealloc_LogGrid@plt>
  mov    0xe8(%rsp),%rdi
  mov    $0x0,%eax
  call   <dealloc_LogGrid@plt>
  mov    0x90(%rsp),%rdi
  mov    $0x0,%eax
  call   <dealloc_LogGrid@plt>
L429:
  add    $0x168,%rsp
  pop    %rbx
  pop    %rbp
  pop    %r12
  pop    %r13
  pop    %r14
  pop    %r15
  ret
L213:
  movsd  0x30(%rsp),%xmm4
  movapd %xmm4,%xmm0
  addsd  0x88(%rsp),%xmm0
  movsd  %xmm4,0x98(%rsp)
  mulsd  D135(%rip),%xmm0
  movsd  %xmm0,0x30(%rsp)
  jmp    L578
L422:
  movsd  D248(%rip),%xmm0
  divsd  0x10(%rsp),%xmm0
  movapd %xmm0,%xmm2
  movsd  0x138(%rsp),%xmm5
  movapd %xmm5,%xmm1
  andpd  %xmm0,%xmm1
  movsd  D290(%rip),%xmm3
  ucomisd %xmm1,%xmm3
  jbe    L575
  cvttsd2si %xmm0,%rax
  pxor   %xmm1,%xmm1
  cvtsi2sd %rax,%xmm1
  movapd %xmm1,%xmm2
  cmpnlesd %xmm0,%xmm2
  movsd  D234(%rip),%xmm3
  andpd  %xmm3,%xmm2
  subsd  %xmm2,%xmm1
  andnpd %xmm0,%xmm5
  movapd %xmm5,%xmm2
  orpd   %xmm1,%xmm2
L575:
  pxor   %xmm0,%xmm0
  cvtsi2sdl 0xa4(%rsp),%xmm0
  addsd  %xmm2,%xmm0
  cvttsd2si %xmm0,%ecx
  lea    0x4(%rcx),%edx
  mov    0x6c(%rsp),%edi
  lea    -0x5(%rdi),%eax
  cmp    %edi,%edx
  cmovl  %ecx,%eax
  mov    %eax,0x4c(%rsp)
  movslq %eax,%rbx
  lea    0x0(,%rbx,8),%rax
  mov    %rax,0x148(%rsp)
  mov    0xc8(%rsp),%r15
  add    %rax,%r15
  movsd  (%r15),%xmm1
  mov    0x60(%rsp),%rax
  movsd  (%rax,%rbx,8),%xmm0
  subsd  0x30(%rsp),%xmm0
  addsd  %xmm0,%xmm0
  mulsd  %xmm1,%xmm1
  movsd  0x40(%rsp),%xmm2
  divsd  %xmm1,%xmm2
  addsd  %xmm2,%xmm0
  pxor   %xmm1,%xmm1
  ucomisd %xmm0,%xmm1
  ja     L117
  sqrtsd %xmm0,%xmm0
  movsd  %xmm0,0x18(%rsp)
L522:
  mov    0x148(%rsp),%rcx
  mov    %rcx,%rbp
  mov    0x70(%rsp),%rax
  add    %rax,%rbp
  lea    0x28(%rcx,%rax,1),%rdi
  movsd  0x18(%rsp),%xmm4
  xorpd  D6(%rip),%xmm4
  movsd  %xmm4,0x28(%rsp)
  mov    %rax,%rcx
  neg    %rcx
  mov    %rcx,0x20(%rsp)
  mov    %r14,%r12
  sub    %rax,%r12
  mov    %rbx,0x150(%rsp)
  mov    %rdi,%rbx
  mov    %r14,0x158(%rsp)
  mov    0xf0(%rsp),%r14
L25:
  movsd  0x0(%rbp),%xmm0
  subsd  (%r15),%xmm0
  mulsd  0x28(%rsp),%xmm0
  call   <exp@plt>
  movapd %xmm0,%xmm1
  movsd  %xmm0,(%r12,%rbp,1)
  movsd  0x0(%rbp),%xmm0
  xorpd  D6(%rip),%xmm0
  movsd  0x10(%rsp),%xmm4
  mulsd  %xmm4,%xmm0
  mulsd  0x18(%rsp),%xmm0
  mulsd  %xmm1,%xmm0
  mov    0x20(%rsp),%rax
  add    %r13,%rax
  movsd  %xmm0,(%rax,%rbp,1)
  mov    0x78(%rsp),%rax
  mov    0x70(%rsp),%rdi
  sub    %rdi,%rax
  mov    0x80(%rsp),%rcx
  sub    %rdi,%rcx
  mov    0x108(%rsp),%rdx
  sub    %rdi,%rdx
  movsd  (%rcx,%rbp,1),%xmm1
  addsd  (%rdx,%rbp,1),%xmm1
  mulsd  (%r12,%rbp,1),%xmm1
  mov    %r14,%rdx
  sub    %rdi,%rdx
  addsd  (%rdx,%rbp,1),%xmm4
  mulsd  %xmm4,%xmm0
  addsd  %xmm1,%xmm0
  movsd  %xmm0,(%rax,%rbp,1)
  add    $0x8,%rbp
  cmp    %rbx,%rbp
  jne    L25
  mov    0x150(%rsp),%rbx
  mov    0x158(%rsp),%r14
  mov    0x4c(%rsp),%ecx
  cmp    %ecx,0xa4(%rsp)
  jge    L237
  mov    0x148(%rsp),%rax
  mov    0xf0(%rsp),%rcx
  lea    -0x8(%rax,%rcx,1),%rcx
  mov    %rcx,0x28(%rsp)
  mov    %rax,%r15
  add    0x140(%rsp),%r15
  mov    0x108(%rsp),%rcx
  lea    -0x8(%rax,%rcx,1),%rcx
  mov    %rcx,0x20(%rsp)
  mov    0x78(%rsp),%rcx
  lea    -0x8(%rax,%rcx,1),%rax
  mov    %rax,0x18(%rsp)
  jmp    L562
L117:
  call   <sqrt@plt>
  movsd  %xmm0,0x18(%rsp)
  jmp    L522
L83:
  sub    $0x1,%rbx
  subq   $0x8,0x28(%rsp)
  sub    $0x8,%r15
  subq   $0x8,0x20(%rsp)
  subq   $0x8,0x18(%rsp)
  cmp    %ebx,0xa4(%rsp)
  jge    L555
L562:
  mov    %ebx,%r12d
  mov    %r13,%rdx
  mov    %r14,%rsi
  mov    %ebx,%edi
  mov    $0x0,%eax
  call   <Predictor_In@plt>
  pxor   %xmm0,%xmm0
  cvtsi2sd %eax,%xmm0
  movsd  %xmm0,-0x8(%r14,%rbx,8)
  mov    0x8(%rsp),%rdx
  mov    %r13,%rsi
  mov    %ebx,%edi
  mov    $0x0,%eax
  call   <Predictor_In@plt>
  pxor   %xmm0,%xmm0
  cvtsi2sd %eax,%xmm0
  movsd  %xmm0,-0x8(%r13,%rbx,8)
  mov    $0x6,%ebp
L159:
  movsd  (%r15),%xmm0
  mov    0x20(%rsp),%rax
  addsd  (%rax),%xmm0
  mulsd  -0x8(%r14,%rbx,8),%xmm0
  mov    0x28(%rsp),%rax
  movsd  0x10(%rsp),%xmm1
  addsd  (%rax),%xmm1
  mulsd  -0x8(%r13,%rbx,8),%xmm1
  addsd  %xmm1,%xmm0
  mov    0x18(%rsp),%rax
  movsd  %xmm0,(%rax)
  mov    0x8(%rsp),%rdx
  mov    %r13,%rsi
  mov    %r12d,%edi
  mov    $0x0,%eax
  call   <Corrector_In@plt>
  pxor   %xmm0,%xmm0
  cvtsi2sd %eax,%xmm0
  movsd  %xmm0,-0x8(%r13,%rbx,8)
  mov    %r13,%rdx
  mov    %r14,%rsi
  mov    %r12d,%edi
  mov    $0x0,%eax
  call   <Corrector_In@plt>
  pxor   %xmm0,%xmm0
  cvtsi2sd %eax,%xmm0
  movsd  %xmm0,-0x8(%r14,%rbx,8)
  sub    $0x1,%ebp
  jne    L159
  jmp    L83
L237:
  mov    0x4c(%rsp),%ecx
  cmp    %ecx,0xa4(%rsp)
  jne    L120
  mov    0x110(%rsp),%rax
  movsd  0x58(%rsp),%xmm0
  divsd  (%rax),%xmm0
  jmp    L584
L119:
  movapd %xmm1,%xmm0
  call   <sqrt@plt>
  movapd %xmm0,%xmm1
  jmp    L402
L464:
  mov    0x128(%rsp),%rax
  mov    0xa4(%rsp),%ecx
  mov    %ecx,(%rax)
  mov    0x130(%rsp),%rax
  movsd  0x30(%rsp),%xmm6
  movsd  %xmm6,(%rax)
  mov    0xd8(%rsp),%rdi
  mov    $0x0,%eax
  call   <dealloc_LogGrid@plt>
  mov    0x8(%rsp),%rdi
  mov    $0x0,%eax
  call   <dealloc_LogGrid@plt>
  mov    0xe0(%rsp),%rdi
  mov    $0x0,%eax
  call   <dealloc_LogGrid@plt>
  mov    0xe8(%rsp),%rdi
  mov    $0x0,%eax
  call   <dealloc_LogGrid@plt>
  mov    0x90(%rsp),%rdi
  mov    $0x0,%eax
  call   <dealloc_LogGrid@plt>
  jmp    L429
L537:
  mov    $0x64,%esi
  lea    D50(%rip),%rdi
  mov    $0x0,%eax
  call   <printf@plt>
  mov    0x128(%rsp),%rax
  mov    0xa4(%rsp),%ecx
  mov    %ecx,(%rax)
  mov    0x130(%rsp),%rax
  movsd  0x30(%rsp),%xmm5
  movsd  %xmm5,(%rax)
  mov    0xd8(%rsp),%rdi
  mov    $0x0,%eax
  call   <dealloc_LogGrid@plt>
  mov    0x8(%rsp),%rdi
  mov    $0x0,%eax
  call   <dealloc_LogGrid@plt>
  mov    0xe0(%rsp),%rdi
  mov    $0x0,%eax
  call   <dealloc_LogGrid@plt>
  mov    0xe8(%rsp),%rdi
  mov    $0x0,%eax
  call   <dealloc_LogGrid@plt>
  mov    0x90(%rsp),%rdi
  mov    $0x0,%eax
  call   <dealloc_LogGrid@plt>
  jmp    L429
L555:
  mov    0x110(%rsp),%rax
  movsd  0x58(%rsp),%xmm0
  divsd  (%rax),%xmm0
L584:
  movslq 0xa4(%rsp),%rax
  mov    0x4c(%rsp),%edx
L492:
  movapd %xmm0,%xmm1
  mulsd  (%r14,%rax,8),%xmm1
  movsd  %xmm1,(%r14,%rax,8)
  movapd %xmm0,%xmm1
  mulsd  0x0(%r13,%rax,8),%xmm1
  movsd  %xmm1,0x0(%r13,%rax,8)
  add    $0x1,%rax
  cmp    %eax,%edx
  jge    L492
L120:
  mov    0x118(%rsp),%rax
  mov    (%rax),%rbx
  mov    %r14,%rsi
  movsd  0x50(%rsp),%xmm0
  mov    0x4c(%rsp),%edi
  mov    $0x1,%eax
  call   <Norm_LogGrid@plt>
  pxor   %xmm1,%xmm1
  cvtsi2sd %eax,%xmm1
  pxor   %xmm0,%xmm0
  ucomisd %xmm1,%xmm0
  ja     L119
  sqrtsd %xmm1,%xmm1
L402:
  movsd  D234(%rip),%xmm0
  divsd  %xmm1,%xmm0
  movsd  0x58(%rsp),%xmm3
  mulsd  %xmm0,%xmm3
  movsd  0x120(%rsp),%xmm1
  mulsd  %xmm0,%xmm1
  movq   %rbx,%xmm4
  mulsd  %xmm0,%xmm4
  mov    0x4c(%rsp),%eax
  test   %eax,%eax
  js     L125
  lea    0x1(%rax),%edx
  shl    $0x3,%rdx
  mov    $0x0,%eax
L11:
  movapd %xmm0,%xmm2
  mulsd  (%r14,%rax,1),%xmm2
  movsd  %xmm2,(%r14,%rax,1)
  movapd %xmm0,%xmm2
  mulsd  0x0(%r13,%rax,1),%xmm2
  movsd  %xmm2,0x0(%r13,%rax,1)
  add    $0x8,%rax
  cmp    %rdx,%rax
  jne    L11
L125:
  mov    0x4c(%rsp),%eax
  add    $0x1,%eax
  mov    0x6c(%rsp),%edx
  cmp    %eax,%edx
  jle    L548
  cltq
L40:
  movq   $0x0,(%r14,%rax,8)
  movq   $0x0,0x0(%r13,%rax,8)
  add    $0x1,%rax
  cmp    %eax,%edx
  jg     L40
L548:
  mulsd  D135(%rip),%xmm3
  movapd %xmm3,%xmm0
  subsd  %xmm4,%xmm1
  mulsd  %xmm1,%xmm0
  mov    0xc8(%rsp),%rax
  mov    0xd0(%rsp),%rcx
  movsd  0x10(%rsp),%xmm1
  mulsd  (%rax,%rcx,1),%xmm1
  divsd  %xmm1,%xmm0
  movq   D13(%rip),%xmm1
  movapd %xmm0,%xmm2
  andpd  %xmm1,%xmm2
  movsd  0x30(%rsp),%xmm7
  andpd  %xmm7,%xmm1
  comisd D92(%rip),%xmm1
  ja     L281
  movsd  D92(%rip),%xmm1
L281:
  mulsd  D107(%rip),%xmm1
  comisd %xmm2,%xmm1
  ja     L464
  pxor   %xmm1,%xmm1
  movapd %xmm1,%xmm2
  cmpltsd %xmm0,%xmm2
  movsd  0x88(%rsp),%xmm3
  andpd  %xmm2,%xmm3
  movsd  0x30(%rsp),%xmm4
  andnpd %xmm4,%xmm2
  movapd %xmm2,%xmm6
  orpd   %xmm3,%xmm6
  movsd  %xmm6,0x88(%rsp)
  cmpltsd %xmm0,%xmm1
  movapd %xmm4,%xmm2
  andpd  %xmm1,%xmm2
  movsd  0x98(%rsp),%xmm7
  andnpd %xmm7,%xmm1
  movapd %xmm1,%xmm5
  orpd   %xmm2,%xmm5
  movsd  %xmm5,0x98(%rsp)
  addsd  %xmm4,%xmm0
  movsd  %xmm0,0x30(%rsp)
  comisd %xmm6,%xmm0
  ja     L354
  comisd %xmm0,%xmm5
  jbe    L578
L354:
  movsd  0x88(%rsp),%xmm0
  addsd  0x98(%rsp),%xmm0
  mulsd  D135(%rip),%xmm0
  movsd  %xmm0,0x30(%rsp)
  jmp    L578
L177:
  mov    0x90(%rsp),%rsi
  mov    0x60(%rsp),%rdi
  mov    $0x0,%eax
  call   <Derivative_LogGrid@plt>
  jmp    L304
```

tool_calls: name: read_data
arguments: data_label: D314
type_infered: byte[8]
name: read_data
arguments: data_label: D234
type_infered: f64
name: read_data
arguments: data_label: D135
type_infered: f64
name: read_data
arguments: data_label: D289
type_infered: f64
name: read_data
arguments: data_label: D106
type_infered: f64
name: read_data
arguments: data_label: D13
type_infered: qword
name: read_data
arguments: data_label: D6
type_infered: f32[4]
name: read_data
arguments: data_label: D146
type_infered: byte[8]
name: read_data
arguments: data_label: D58
type_infered: byte[8]
name: read_data
arguments: data_label: D306
type_infered: string
name: read_data
arguments: data_label: D248
type_infered: f64
name: read_data
arguments: data_label: D290
type_infered: f32[2]
name: read_data
arguments: data_label: D50
type_infered: string
name: read_data
arguments: data_label: D92
type_infered: f64[2]
name: read_data
arguments: data_label: D107
type_infered: byte[8]

tool: {"D314": [0xfc,0x1c,0xef,0x0c,0x46,0xeb,0x0b,0x3f]}

tool: D234: 1

tool: D135: 0.5

tool: D289: 1.25

tool: D106: 0.75

tool: D13: 9223372036854775807

tool: {"D6": [0.0,-0.0,0.0,0.0]}

tool: {"D146": [0xfc,0x1c,0xef,0x0c,0x46,0xeb,0xfb,0x3e]}

tool: {"D58": [0xfc,0x1c,0xef,0x0c,0x46,0xeb,0x0b,0xbf]}

tool: D306: Error in R_Pauli: no turning point

tool: D248: 2.3

tool: {"D290": [0.0,176.0]}

tool: D50: Error R_Pauli: More than %d iterations


tool: {"D92": [0.2,0.000053251338264776225]}

tool: {"D107": [0xbb,0xbd,0xd7,0xd9,0xdf,0x7c,0xdb,0x3d]}

assistant: ```c
void R_Pauli(n, l, Z, v, mch, Eig, u, uprime) int n, l;
double Z;
double v[];
int *mch;
double *Eig;
double u[], uprime[];
{
  int i, j, iteration, node, match, Ninf, Ngrid;
  double E, de, Emax, Emin, log_amesh, log_amesh2, fss, gamma, L2, L0, r2, sum, a, scale, m1scale, uout, upout, upin, *r, *f_upp, *dv, *frp, *fr, *upp;
  E = *Eig;
  L2 = ((double)(l * (l + 1)));
  fss = 1.0 / 137.03602;
  fss = fss * fss;
  if (l == 0)
    gamma = sqrt(1.0 - fss * Z * Z);
  else {
    L0 = (double)l;
    gamma = (sqrt(L0 * L0 - fss * Z * Z) * L0 + sqrt((L0 + 1.0) * (L0 + 1) - fss * Z * Z) * (L0 + 1.0)) / (2.0 * L0 + 1.0);
  }
  Ngrid = N_LogGrid();
  log_amesh = log_amesh_LogGrid();
  log_amesh2 = log_amesh * log_amesh;
  r = r_LogGrid();
  f_upp = alloc_LogGrid();
  upp = alloc_LogGrid();
  fr = alloc_LogGrid();
  frp = alloc_LogGrid();
  dv = alloc_LogGrid();
  Emax = v[Ngrid - 1] + 0.5 * L2 / (r[Ngrid - 1] * r[Ngrid - 1]);
  Emin = 0.0;
  for (i = 0; i < Ngrid; ++i) {
    r2 = r[i];
    r2 = r2 * r2;
    Emin = ((Emin < (v[i] + 0.5 * L2 / r2)) ? Emin : (v[i] + 0.5 * L2 / r2));
  }
  if (E > Emax)
    E = 1.25 * Emax;
  if (E < Emin)
    E = 0.75 * Emin;
  if (E > Emax)
    E = 0.5 * (Emax + Emin);
  for (i = 0; i < 4; ++i) {
    u[i] = 0.0;
    uprime[i] = 0.0;
    upp[i] = 0.0;
  }
  iteration = 0;
  while (iteration < 100) {
    ++iteration;
    for (i = 0; i < Ngrid; ++i) {
      r2 = r[i];
      r2 = r2 * r2;
      f_upp[i] = log_amesh2 * (L2 + 2.0 * (v[i] - E) * r2);
    }
    Derivative_LogGrid(v, dv);
    for (i = 0; i < Ngrid; ++i) {
      r2 = r[i] * r[i];
      fr[i] = log_amesh2 * r2 * (-fss * (v[i] - E) * (v[i] - E) + 0.5 * fss * dv[i] / (r[i] * (1.0 + 0.5 * fss * (E - v[i]))));
      frp[i] = -log_amesh * r[i] * 0.5 * fss * dv[i] / (1.0 + 0.5 * fss * (E - v[i]));
    }
    match = Ngrid - 1;
    while (f_upp[match - 1] * f_upp[match] > 0.0) {
      match = match - 1;
      if (match < 2) {
        printf("Error in R_Pauli: no turning point\n");
        dealloc_LogGrid(f_upp);
        dealloc_LogGrid(upp);
        dealloc_LogGrid(fr);
        dealloc_LogGrid(frp);
        dealloc_LogGrid(dv);
        return;
      }
    }
    m1scale = 1.0;
    for (i = 0; i < (n - l - 1); ++i)
      m1scale *= -1.0;
    for (i = 0; i < 4; ++i) {
      u[i] = m1scale * pow(r[i], gamma);
      uprime[i] = log_amesh * gamma * u[i];
      upp[i] = (log_amesh + frp[i]) * uprime[i] + (f_upp[i] + fr[i]) * u[i];
    }
    node = 0;
    for (i = 3; i < match; ++i) {
      u[i + 1] = Predictor_Out(i, u, uprime);
      uprime[i + 1] = Predictor_Out(i, uprime, upp);
      for (j = 0; j < 6; ++j) {
        upp[i + 1] = (log_amesh + frp[i + 1]) * uprime[i + 1] + (f_upp[i + 1] + fr[i + 1]) * u[i + 1];
        uprime[i + 1] = Corrector_Out(i, uprime, upp);
        u[i + 1] = Corrector_Out(i, u, uprime);
      }
      if (u[i + 1] * u[i] <= 0)
        node = node + 1;
    }
    uout = u[match];
    upout = uprime[match];
    if ((node - n + l + 1) < 0) {
      Emin = E;
      E = 0.5 * (Emin + Emax);
    } else if ((node - n + l + 1) > 0) {
      Emax = E;
      E = 0.5 * (Emin + Emax);
    } else {
      Ninf = match + floor(2.3 / log_amesh);
      if ((Ninf + 5) > Ngrid)
        Ninf = Ngrid - 5;
      a = sqrt(L2 / (r[Ninf] * r[Ninf]) + 2.0 * (v[Ninf] - E));
      for (i = Ninf; i <= (Ninf + 4); ++i) {
        u[i] = exp(-a * (r[i] - r[Ninf]));
        uprime[i] = -r[i] * log_amesh * a * u[i];
        upp[i] = (log_amesh + frp[i]) * uprime[i] + (f_upp[i] + fr[i]) * u[i];
      }
      for (i = Ninf; i >= (match + 1); --i) {
        u[i - 1] = Predictor_In(i, u, uprime);
        uprime[i - 1] = Predictor_In(i, uprime, upp);
        for (j = 0; j < 6; ++j) {
          upp[i - 1] = (log_amesh + frp[i - 1]) * uprime[i - 1] + (f_upp[i - 1] + fr[i - 1]) * u[i - 1];
          uprime[i - 1] = Corrector_In(i, uprime, upp);
          u[i - 1] = Corrector_In(i, u, uprime);
        }
      }
      scale = uout / u[match];
      for (i = match; i <= Ninf; ++i) {
        u[i] = scale * u[i];
        uprime[i] = scale * uprime[i];
      }
      upin = uprime[match];
      sum = Norm_LogGrid(Ninf, gamma, u);
      sum = 1.0 / sqrt(sum);
      uout = sum * uout;
      upout = sum * upout;
      upin = sum * upin;
      for (i = 0; i <= Ninf; ++i) {
        u[i] = sum * u[i];
        uprime[i] = sum * uprime[i];
      }
      for (i = Ninf + 1; i < Ngrid; ++i) {
        u[i] = 0.0;
        uprime[i] = 0.0;
      }
      de = 0.5 * uout * (upout - upin) / (log_amesh * r[match]);
      if (fabs(de) < (((fabs(E) > 0.2) ? fabs(E) : 0.2) * 1.0e-10)) {
        *mch = match;
        *Eig = E;
        dealloc_LogGrid(f_upp);
        dealloc_LogGrid(upp);
        dealloc_LogGrid(fr);
        dealloc_LogGrid(frp);
        dealloc_LogGrid(dv);
        return;
      }
      if (de > 0.0)
        Emin = E;
      else
        Emax = E;
      E = E + de;
      if ((E > Emax) || (E < Emin))
        E = 0.5 * (Emin + Emax);
    }
  }
  printf("Error R_Pauli: More than %d iterations\n", 100);
  *mch = match;
  *Eig = E;
  dealloc_LogGrid(f_upp);
  dealloc_LogGrid(upp);
  dealloc_LogGrid(fr);
  dealloc_LogGrid(frp);
  dealloc_LogGrid(dv);
  return;
}
```