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

```asm
<R_Pauli>:
  endbr64
  push   %r15
  lea    0x1(%rsi),%eax
  push   %r14
  imul   %esi,%eax
  mov    %r9,%r14
  push   %r13
  push   %r12
  push   %rbp
  push   %rbx
  sub    $0x148,%rsp
  movsd  (%r8),%xmm5
  movsd  D298(%rip),%xmm3
  mov    %edi,0xf0(%rsp)
  mov    0x180(%rsp),%r13
  mulsd  %xmm0,%xmm3
  movsd  %xmm5,0x58(%rsp)
  pxor   %xmm5,%xmm5
  cvtsi2sd %eax,%xmm5
  mov    %esi,0xc0(%rsp)
  mov    %rdx,0x78(%rsp)
  mov    %rcx,0x108(%rsp)
  mov    %r8,0x110(%rsp)
  movsd  %xmm5,0xb0(%rsp)
  mulsd  %xmm0,%xmm3
  test   %esi,%esi
  jne    L255
  movsd  D13(%rip),%xmm4
  pxor   %xmm7,%xmm7
  movsd  %xmm7,0x48(%rsp)
  movsd  %xmm4,0x98(%rsp)
  movapd %xmm4,%xmm0
  subsd  %xmm3,%xmm0
  ucomisd %xmm0,%xmm7
  ja     L406
  sqrtsd %xmm0,%xmm0
  movsd  %xmm0,0x88(%rsp)
  jmp    L130
L255:
  pxor   %xmm1,%xmm1
  pxor   %xmm4,%xmm4
  cvtsi2sdl 0xc0(%rsp),%xmm1
  movsd  %xmm4,0x48(%rsp)
  movapd %xmm1,%xmm0
  mulsd  %xmm1,%xmm0
  subsd  %xmm3,%xmm0
  ucomisd %xmm0,%xmm4
  ja     L227
  sqrtsd %xmm0,%xmm0
L184:
  movsd  D13(%rip),%xmm6
  movapd %xmm0,%xmm2
  mulsd  %xmm1,%xmm2
  movsd  %xmm6,0x98(%rsp)
  movapd %xmm6,%xmm4
  movsd  0x48(%rsp),%xmm6
  addsd  %xmm1,%xmm4
  movapd %xmm4,%xmm0
  mulsd  %xmm4,%xmm0
  subsd  %xmm3,%xmm0
  ucomisd %xmm0,%xmm6
  ja     L63
  sqrtsd %xmm0,%xmm0
L609:
  mulsd  %xmm0,%xmm4
  addsd  %xmm1,%xmm1
  addsd  0x98(%rsp),%xmm1
  addsd  %xmm2,%xmm4
  divsd  %xmm1,%xmm4
  movsd  %xmm4,0x88(%rsp)
L130:
  xor    %eax,%eax
  call   <N_LogGrid@plt>
  mov    %eax,0xc4(%rsp)
  mov    %eax,%ebp
  xor    %eax,%eax
  call   <log_amesh_LogGrid@plt>
  pxor   %xmm6,%xmm6
  cvtsi2sd %eax,%xmm6
  xor    %eax,%eax
  movsd  %xmm6,0x10(%rsp)
  mulsd  %xmm6,%xmm6
  movsd  %xmm6,0x90(%rsp)
  call   <r_LogGrid@plt>
  movslq %eax,%rbx
  xor    %eax,%eax
  mov    %rbx,0x80(%rsp)
  call   <alloc_LogGrid@plt>
  cltq
  mov    %rax,0x40(%rsp)
  xor    %eax,%eax
  call   <alloc_LogGrid@plt>
  movslq %eax,%r15
  xor    %eax,%eax
  call   <alloc_LogGrid@plt>
  cltq
  mov    %rax,0x38(%rsp)
  xor    %eax,%eax
  call   <alloc_LogGrid@plt>
  cltq
  mov    %rax,0x68(%rsp)
  xor    %eax,%eax
  call   <alloc_LogGrid@plt>
  movsd  D145(%rip),%xmm2
  mov    0x78(%rsp),%rdi
  mulsd  0xb0(%rsp),%xmm2
  cltq
  mov    %rax,0xa8(%rsp)
  movslq %ebp,%rax
  shl    $0x3,%rax
  movsd  -0x8(%rbx,%rax,1),%xmm0
  mulsd  %xmm0,%xmm0
  movapd %xmm2,%xmm1
  divsd  %xmm0,%xmm1
  addsd  -0x8(%rdi,%rax,1),%xmm1
  movsd  %xmm1,0xa0(%rsp)
  test   %ebp,%ebp
  jle    L532
  lea    -0x1(%rbp),%eax
  sub    %rbx,%rdi
  movsd  0x48(%rsp),%xmm3
  mov    %eax,0x128(%rsp)
  lea    0x8(%rbx,%rax,8),%rcx
  mov    %rdi,%rdx
  mov    %rbx,%rax
  nopl   0x0(%rax)
L11:
  movsd  (%rax),%xmm0
  movapd %xmm2,%xmm1
  mulsd  %xmm0,%xmm0
  divsd  %xmm0,%xmm1
  addsd  (%rdx,%rax,1),%xmm1
  add    $0x8,%rax
  minsd  %xmm1,%xmm3
  cmp    %rcx,%rax
  jne    L11
  movsd  %xmm3,0xb8(%rsp)
L174:
  movsd  0xa0(%rsp),%xmm4
  movsd  0x58(%rsp),%xmm7
  comisd %xmm4,%xmm7
  jbe    L3
  mulsd  D254(%rip),%xmm4
  movsd  %xmm4,0x58(%rsp)
L3:
  movsd  0xb8(%rsp),%xmm6
  comisd 0x58(%rsp),%xmm6
  jbe    L695
  mulsd  D252(%rip),%xmm6
  movsd  %xmm6,0x58(%rsp)
L695:
  movsd  0xa0(%rsp),%xmm7
  movsd  0x58(%rsp),%xmm4
  comisd %xmm7,%xmm4
  jbe    L465
  movsd  0xb8(%rsp),%xmm0
  addsd  %xmm7,%xmm0
  mulsd  D145(%rip),%xmm0
  movsd  %xmm0,0x58(%rsp)
L465:
  lea    0x20(%r15),%rcx
  lea    0x20(%r13),%rax
  cmp    %rcx,%r13
  mov    %rax,0xf8(%rsp)
  lea    0x20(%r14),%rdi
  setae  %dl
  cmp    %r15,%rax
  mov    %rdi,0x100(%rsp)
  setbe  %al
  or     %eax,%edx
  cmp    %rcx,%r14
  setae  %al
  cmp    %rdi,%r15
  setae  %sil
  or     %esi,%eax
  test   %al,%dl
  je     L429
  lea    0x1f(%r14),%rax
  sub    %r13,%rax
  cmp    $0x3e,%rax
  jbe    L429
  pxor   %xmm0,%xmm0
  movups %xmm0,(%r14)
  movups %xmm0,0x10(%r14)
  movups %xmm0,0x0(%r13)
  movups %xmm0,0x10(%r13)
  movups %xmm0,(%r15)
  movups %xmm0,0x10(%r15)
L668:
  mov    0x128(%rsp),%eax
  mov    0x78(%rsp),%rdi
  movl   $0x64,0xf4(%rsp)
  mov    0x80(%rsp),%rbx
  mov    %rax,%rcx
  shl    $0x3,%rax
  lea    0x8(%rax,%rbx,1),%rbx
  lea    0x8(%rdi,%rax,1),%rax
  mov    %rax,0xd8(%rsp)
  movslq %ecx,%rax
  mov    0x40(%rsp),%rcx
  mov    %rax,0xd0(%rsp)
  mov    %rbx,0xe0(%rsp)
  lea    -0x8(%rcx,%rax,8),%rax
  mov    %rax,0xc8(%rsp)
  mov    %r15,%rax
  mov    %r14,%r15
  mov    %rax,%r14
L171:
  mov    0xc4(%rsp),%esi
  test   %esi,%esi
  jle    L43
  mov    0x80(%rsp),%rdi
  mov    0x40(%rsp),%rcx
  mov    0x78(%rsp),%rdx
  movsd  0x58(%rsp),%xmm2
  movsd  0xb0(%rsp),%xmm3
  mov    0xe0(%rsp),%rsi
  mov    %rdi,%rax
  sub    %rdi,%rcx
  movsd  0x90(%rsp),%xmm4
  sub    %rdi,%rdx
  nop
L355:
  movsd  (%rdx,%rax,1),%xmm0
  movsd  (%rax),%xmm1
  subsd  %xmm2,%xmm0
  mulsd  %xmm1,%xmm1
  addsd  %xmm0,%xmm0
  mulsd  %xmm1,%xmm0
  addsd  %xmm3,%xmm0
  mulsd  %xmm4,%xmm0
  movsd  %xmm0,(%rcx,%rax,1)
  add    $0x8,%rax
  cmp    %rsi,%rax
  jne    L355
  mov    0x78(%rsp),%rbx
  mov    0xa8(%rsp),%rbp
  xor    %eax,%eax
  mov    %rbp,%rsi
  mov    %rbx,%rdi
  call   <Derivative_LogGrid@plt>
  mov    0x38(%rsp),%rcx
  mov    %rbp,%rsi
  mov    %rbx,%rax
  mov    0x80(%rsp),%rdi
  mov    0x68(%rsp),%rdx
  sub    %rbx,%rsi
  movsd  0x10(%rsp),%xmm5
  movsd  0x58(%rsp),%xmm2
  sub    %rbx,%rcx
  xorpd  D258(%rip),%xmm5
  sub    %rbx,%rdi
  sub    %rbx,%rdx
  movsd  D65(%rip),%xmm3
  movsd  D110(%rip),%xmm4
  movsd  0x90(%rsp),%xmm7
  mov    0xd8(%rsp),%r8
  movsd  0x98(%rsp),%xmm6
  nopl   0x0(%rax,%rax,1)
L181:
  movsd  (%rax),%xmm10
  movapd %xmm2,%xmm8
  lea    (%rdi,%rax,1),%r10
  lea    (%rsi,%rax,1),%r9
  movsd  (%r10),%xmm1
  movsd  (%r9),%xmm0
  subsd  %xmm10,%xmm8
  movapd %xmm10,%xmm9
  mulsd  %xmm3,%xmm0
  subsd  %xmm2,%xmm9
  mulsd  %xmm3,%xmm8
  addsd  %xmm6,%xmm8
  mulsd  %xmm1,%xmm8
  mulsd  %xmm1,%xmm1
  divsd  %xmm8,%xmm0
  movapd %xmm9,%xmm8
  mulsd  %xmm4,%xmm8
  mulsd  %xmm7,%xmm1
  mulsd  %xmm9,%xmm8
  addsd  %xmm8,%xmm0
  mulsd  %xmm1,%xmm0
  movapd %xmm2,%xmm1
  movsd  %xmm0,(%rcx,%rax,1)
  subsd  (%rax),%xmm1
  movsd  (%r10),%xmm0
  mulsd  %xmm5,%xmm0
  mulsd  %xmm3,%xmm1
  mulsd  D145(%rip),%xmm0
  mulsd  D298(%rip),%xmm0
  mulsd  (%r9),%xmm0
  addsd  %xmm6,%xmm1
  divsd  %xmm1,%xmm0
  movsd  %xmm0,(%rdx,%rax,1)
  add    $0x8,%rax
  cmp    %r8,%rax
  jne    L181
L504:
  mov    0xc8(%rsp),%rdx
  mov    0xd0(%rsp),%rax
  movsd  0x48(%rsp),%xmm1
  jmp    L12
  nopl   0x0(%rax)
L533:
  sub    $0x1,%rax
  sub    $0x8,%rdx
  cmp    $0x1,%eax
  jle    L641
L12:
  movsd  0x8(%rdx),%xmm0
  mulsd  (%rdx),%xmm0
  lea    0x0(,%rax,8),%rsi
  comisd %xmm1,%xmm0
  ja     L533
  mov    0xf0(%rsp),%edx
  sub    0xc0(%rsp),%edx
  mov    %eax,0x54(%rsp)
  sub    $0x1,%edx
  mov    %rsi,0xe8(%rsp)
  movsd  0x98(%rsp),%xmm2
  test   %edx,%edx
  jle    L270
  xor    %eax,%eax
  nopl   0x0(%rax)
L436:
  add    $0x1,%eax
  xorpd  D258(%rip),%xmm2
  cmp    %eax,%edx
  jne    L436
L270:
  movsd  0x88(%rsp),%xmm7
  mulsd  0x10(%rsp),%xmm7
  xor    %ebx,%ebx
  movsd  %xmm2,0x18(%rsp)
  mov    0x80(%rsp),%rbp
  mov    0x40(%rsp),%r12
  movsd  %xmm7,0x8(%rsp)
L663:
  movsd  0x88(%rsp),%xmm1
  movsd  (%rbx,%rbp,1),%xmm0
  call   <pow@plt>
  mulsd  0x18(%rsp),%xmm0
  mov    0x38(%rsp),%rax
  movsd  0x10(%rsp),%xmm2
  movsd  %xmm0,(%r15,%rbx,1)
  mulsd  0x8(%rsp),%xmm0
  movsd  %xmm0,0x0(%r13,%rbx,1)
  movsd  (%rbx,%r12,1),%xmm1
  addsd  (%rbx,%rax,1),%xmm1
  mov    0x68(%rsp),%rax
  mulsd  (%r15,%rbx,1),%xmm1
  addsd  (%rax,%rbx,1),%xmm2
  add    $0x8,%rbx
  mulsd  %xmm2,%xmm0
  addsd  %xmm0,%xmm1
  movsd  %xmm1,-0x8(%rbx,%r14,1)
  cmp    $0x20,%rbx
  jne    L663
  cmpl   $0x3,0x54(%rsp)
  jle    L17
  mov    0x100(%rsp),%rax
  movl   $0x0,0x60(%rsp)
  mov    $0x3,%r12d
  mov    0xf8(%rsp),%rbp
  mov    %rax,0x8(%rsp)
  mov    0x68(%rsp),%rax
  sub    %r13,%rax
  mov    %rax,0x70(%rsp)
  nop
L500:
  mov    %r13,%rdx
  mov    %r15,%rsi
  mov    %r12d,%edi
  xor    %eax,%eax
  call   <Predictor_Out@plt>
  pxor   %xmm0,%xmm0
  mov    %r12d,%edi
  mov    %r14,%rdx
  cvtsi2sd %eax,%xmm0
  mov    0x8(%rsp),%rax
  mov    %r13,%rsi
  movsd  %xmm0,(%rax)
  xor    %eax,%eax
  call   <Predictor_Out@plt>
  mov    0x70(%rsp),%rcx
  pxor   %xmm2,%xmm2
  movl   $0x6,0x30(%rsp)
  cvtsi2sd %eax,%xmm2
  mov    0x8(%rsp),%rax
  add    %rbp,%rcx
  mov    %rcx,0x28(%rsp)
  mov    0x40(%rsp),%rcx
  sub    %r13,%rcx
  movsd  %xmm2,0x0(%rbp)
  movsd  (%rax),%xmm0
  mov    %r14,%rax
  lea    (%rcx,%rbp,1),%rbx
  mov    0x38(%rsp),%rcx
  sub    %r13,%rax
  movapd %xmm2,%xmm3
  add    %rbp,%rax
  movapd %xmm0,%xmm1
  sub    %r13,%rcx
  mov    %rax,0x18(%rsp)
  lea    (%rcx,%rbp,1),%rdi
  mov    %rdi,0x20(%rsp)
  jmp    L671
  nopl   0x0(%rax)
L307:
  movsd  0x0(%rbp),%xmm3
L671:
  mov    0x20(%rsp),%rax
  movsd  (%rbx),%xmm0
  mov    %r14,%rdx
  mov    %r13,%rsi
  movsd  0x10(%rsp),%xmm2
  mov    %r12d,%edi
  addsd  (%rax),%xmm0
  mov    0x28(%rsp),%rax
  addsd  (%rax),%xmm2
  mov    0x18(%rsp),%rax
  mulsd  %xmm1,%xmm0
  mulsd  %xmm3,%xmm2
  addsd  %xmm2,%xmm0
  movsd  %xmm0,(%rax)
  xor    %eax,%eax
  call   <Corrector_Out@plt>
  pxor   %xmm0,%xmm0
  mov    %r13,%rdx
  mov    %r15,%rsi
  cvtsi2sd %eax,%xmm0
  mov    %r12d,%edi
  xor    %eax,%eax
  movsd  %xmm0,0x0(%rbp)
  call   <Corrector_Out@plt>
  pxor   %xmm1,%xmm1
  subl   $0x1,0x30(%rsp)
  cvtsi2sd %eax,%xmm1
  mov    0x8(%rsp),%rax
  movsd  %xmm1,(%rax)
  jne    L307
  mov    0x8(%rsp),%rax
  movapd %xmm1,%xmm0
  movsd  0x48(%rsp),%xmm7
  mulsd  -0x8(%rax),%xmm0
  comisd %xmm0,%xmm7
  sbbl   $0xffffffff,0x60(%rsp)
  add    $0x8,%rax
  add    $0x1,%r12d
  mov    %rax,0x8(%rsp)
  add    $0x8,%rbp
  cmp    %r12d,0x54(%rsp)
  jne    L500
L57:
  mov    0xe8(%rsp),%rcx
  lea    (%r15,%rcx,1),%rax
  movsd  (%rax),%xmm7
  mov    %rax,0x70(%rsp)
  lea    0x0(%r13,%rcx,1),%rax
  movsd  (%rax),%xmm5
  mov    %rax,0x118(%rsp)
  mov    0x60(%rsp),%eax
  sub    0xf0(%rsp),%eax
  movsd  %xmm7,0x30(%rsp)
  movsd  %xmm5,0x120(%rsp)
  add    0xc0(%rsp),%eax
  cmp    $0xffffffff,%eax
  jl     L247
  je     L80
  movsd  0xb8(%rsp),%xmm0
  movsd  0x58(%rsp),%xmm7
  movsd  %xmm7,0xa0(%rsp)
  addsd  %xmm7,%xmm0
  mulsd  D145(%rip),%xmm0
  movsd  %xmm0,0x58(%rsp)
L343:
  subl   $0x1,0xf4(%rsp)
  jne    L171
  mov    $0x64,%esi
  lea    D46(%rip),%rdi
  xor    %eax,%eax
  mov    %r14,%r15
  call   <printf@plt>
  mov    0x54(%rsp),%ecx
  mov    0x108(%rsp),%rax
  movsd  0x58(%rsp),%xmm5
  mov    %ecx,(%rax)
  mov    0x110(%rsp),%rax
  movsd  %xmm5,(%rax)
  jmp    L241
  nopw   0x0(%rax,%rax,1)
L641:
  lea    D289(%rip),%rdi
  mov    %r14,%r15
  call   <puts@plt>
L241:
  mov    0x40(%rsp),%rdi
  xor    %eax,%eax
  call   <dealloc_LogGrid@plt>
  mov    %r15,%rdi
  xor    %eax,%eax
  call   <dealloc_LogGrid@plt>
  mov    0x38(%rsp),%rdi
  xor    %eax,%eax
  call   <dealloc_LogGrid@plt>
  mov    0x68(%rsp),%rdi
  xor    %eax,%eax
  call   <dealloc_LogGrid@plt>
  mov    0xa8(%rsp),%rdi
  xor    %eax,%eax
  add    $0x148,%rsp
  pop    %rbx
  pop    %rbp
  pop    %r12
  pop    %r13
  pop    %r14
  pop    %r15
  jmp    1230 <dealloc_LogGrid@plt>
L247:
  movsd  0xa0(%rsp),%xmm0
  movsd  0x58(%rsp),%xmm6
  movsd  %xmm6,0xb8(%rsp)
  addsd  %xmm6,%xmm0
  mulsd  D145(%rip),%xmm0
  movsd  %xmm0,0x58(%rsp)
  jmp    L343
L43:
  mov    0xa8(%rsp),%rsi
  mov    0x78(%rsp),%rdi
  xor    %eax,%eax
  call   <Derivative_LogGrid@plt>
  jmp    L504
L17:
  movl   $0x0,0x60(%rsp)
  jmp    L57
L532:
  mov    0xc4(%rsp),%eax
  movsd  0x48(%rsp),%xmm6
  movsd  %xmm6,0xb8(%rsp)
  sub    $0x1,%eax
  mov    %eax,0x128(%rsp)
  jmp    L174
L80:
  movsd  D16(%rip),%xmm1
  movsd  D149(%rip),%xmm2
  movsd  D126(%rip),%xmm0
  divsd  0x10(%rsp),%xmm0
  andpd  %xmm0,%xmm1
  ucomisd %xmm1,%xmm2
  ja     L590
L632:
  pxor   %xmm1,%xmm1
  cvtsi2sdl 0x54(%rsp),%xmm1
  addsd  %xmm0,%xmm1
  cvttsd2si %xmm1,%eax
  mov    %eax,0x12c(%rsp)
  lea    0x4(%rax),%ebx
  mov    0xc4(%rsp),%eax
  cmp    %eax,%ebx
  jge    L437
L224:
  movslq 0x12c(%rsp),%rax
  movsd  0x48(%rsp),%xmm7
  movsd  0xb0(%rsp),%xmm2
  lea    0x0(,%rax,8),%rcx
  mov    %rax,0x130(%rsp)
  mov    %rcx,%rsi
  mov    %rcx,0x138(%rsp)
  mov    0x80(%rsp),%rcx
  add    %rsi,%rcx
  movsd  (%rcx),%xmm1
  mov    %rcx,0x28(%rsp)
  mov    0x78(%rsp),%rcx
  movapd %xmm1,%xmm3
  mulsd  %xmm1,%xmm3
  movsd  (%rcx,%rax,8),%xmm0
  subsd  0x58(%rsp),%xmm0
  addsd  %xmm0,%xmm0
  divsd  %xmm3,%xmm2
  addsd  %xmm2,%xmm0
  ucomisd %xmm0,%xmm7
  ja     L623
  sqrtsd %xmm0,%xmm0
  movsd  %xmm0,0x8(%rsp)
L483:
  mov    0x80(%rsp),%rax
  mov    %r14,%rcx
  mov    %r14,0x60(%rsp)
  movapd %xmm1,%xmm0
  mov    0x138(%rsp),%rbp
  movsd  0x8(%rsp),%xmm6
  mov    %r15,%r14
  xorpd  D258(%rip),%xmm6
  sub    %rax,%rcx
  mov    0x130(%rsp),%r12
  add    %rax,%rbp
  mov    %rcx,0x20(%rsp)
  mov    %rbp,%r15
  movsd  %xmm6,0x18(%rsp)
  mov    %rax,%rbp
  jmp    L218
L131:
  mov    0x28(%rsp),%rax
  movsd  (%r15),%xmm0
  movsd  (%rax),%xmm1
L218:
  subsd  %xmm1,%xmm0
  mulsd  0x18(%rsp),%xmm0
  call   <exp@plt>
  movsd  0x10(%rsp),%xmm5
  mov    0x40(%rsp),%r8
  movsd  %xmm0,(%r14,%r12,8)
  movsd  (%r15),%xmm1
  movapd %xmm0,%xmm2
  xorpd  D258(%rip),%xmm1
  mov    0x38(%rsp),%rdi
  sub    %rbp,%r8
  mov    0x20(%rsp),%rax
  movapd %xmm1,%xmm0
  mulsd  %xmm5,%xmm0
  sub    %rbp,%rdi
  mulsd  0x8(%rsp),%xmm0
  mulsd  %xmm2,%xmm0
  movsd  %xmm0,0x0(%r13,%r12,8)
  movsd  (%r8,%r15,1),%xmm1
  addsd  (%rdi,%r15,1),%xmm1
  mov    0x68(%rsp),%rdi
  mulsd  (%r14,%r12,8),%xmm1
  add    $0x1,%r12
  sub    %rbp,%rdi
  addsd  (%rdi,%r15,1),%xmm5
  mulsd  %xmm5,%xmm0
  addsd  %xmm0,%xmm1
  movsd  %xmm1,(%rax,%r15,1)
  add    $0x8,%r15
  cmp    %r12d,%ebx
  jge    L131
  mov    %r14,%r15
  mov    0x12c(%rsp),%ecx
  mov    0x60(%rsp),%r14
  cmp    %ecx,0x54(%rsp)
  jge    L20
  mov    0x68(%rsp),%rax
  mov    0x138(%rsp),%rcx
  mov    0x130(%rsp),%r12
  lea    -0x8(%rcx,%rax,1),%rcx
  mov    %rcx,0x8(%rsp)
  mov    0x40(%rsp),%rcx
  sub    %rax,%rcx
  mov    %rcx,0x60(%rsp)
  xchg   %ax,%ax
L662:
  mov    %r13,%rdx
  mov    %r15,%rsi
  mov    %r12d,%edi
  xor    %eax,%eax
  call   <Predictor_In@plt>
  pxor   %xmm0,%xmm0
  mov    %r13,%rsi
  mov    %r12d,%edi
  cvtsi2sd %eax,%xmm0
  mov    %r14,%rdx
  xor    %eax,%eax
  mov    %r12d,%ebp
  movsd  %xmm0,-0x8(%r15,%r12,8)
  call   <Predictor_In@plt>
  pxor   %xmm2,%xmm2
  mov    0x68(%rsp),%rdi
  mov    0x8(%rsp),%rcx
  cvtsi2sd %eax,%xmm2
  mov    0x38(%rsp),%rax
  mov    0x60(%rsp),%rbx
  movl   $0x6,0x28(%rsp)
  sub    %rdi,%rax
  add    %rcx,%rbx
  add    %rcx,%rax
  mov    %rax,0x20(%rsp)
  mov    %r14,%rax
  movapd %xmm2,%xmm3
  sub    %rdi,%rax
  movsd  %xmm2,-0x8(%r13,%r12,8)
  movsd  -0x8(%r15,%r12,8),%xmm0
  add    %rcx,%rax
  mov    %rax,0x18(%rsp)
  mov    %r13,%rax
  movapd %xmm0,%xmm1
  mov    %rbx,%r13
  mov    %rax,%rbx
  jmp    L295
  nopl   0x0(%rax,%rax,1)
L48:
  movsd  -0x8(%rbx,%r12,8),%xmm3
L295:
  mov    0x20(%rsp),%rax
  movsd  0x0(%r13),%xmm0
  mov    %r14,%rdx
  mov    %ebp,%edi
  movsd  0x10(%rsp),%xmm2
  mov    %rbx,%rsi
  addsd  (%rax),%xmm0
  mov    0x8(%rsp),%rax
  addsd  (%rax),%xmm2
  mov    0x18(%rsp),%rax
  mulsd  %xmm1,%xmm0
  mulsd  %xmm3,%xmm2
  addsd  %xmm2,%xmm0
  movsd  %xmm0,(%rax)
  xor    %eax,%eax
  call   <Corrector_In@plt>
  pxor   %xmm0,%xmm0
  mov    %rbx,%rdx
  mov    %r15,%rsi
  cvtsi2sd %eax,%xmm0
  mov    %ebp,%edi
  xor    %eax,%eax
  movsd  %xmm0,-0x8(%rbx,%r12,8)
  call   <Corrector_In@plt>
  pxor   %xmm1,%xmm1
  subl   $0x1,0x28(%rsp)
  cvtsi2sd %eax,%xmm1
  movsd  %xmm1,-0x8(%r15,%r12,8)
  jne    L48
  subq   $0x8,0x8(%rsp)
  mov    %rbx,%r13
  sub    $0x1,%r12
  cmp    %r12d,0x54(%rsp)
  jl     L662
L273:
  mov    0x70(%rsp),%rax
  movsd  0x30(%rsp),%xmm1
  mov    0x12c(%rsp),%edx
  movsd  (%rax),%xmm0
  movslq 0x54(%rsp),%rax
  divsd  %xmm0,%xmm1
  jmp    L223
  xchg   %ax,%ax
L27:
  movsd  (%r15,%rax,8),%xmm0
L223:
  mulsd  %xmm1,%xmm0
  movsd  %xmm0,(%r15,%rax,8)
  movsd  0x0(%r13,%rax,8),%xmm0
  mulsd  %xmm1,%xmm0
  movsd  %xmm0,0x0(%r13,%rax,8)
  add    $0x1,%rax
  cmp    %eax,%edx
  jge    L27
L232:
  mov    0x118(%rsp),%rax
  mov    0x12c(%rsp),%edi
  mov    %r15,%rsi
  movsd  0x88(%rsp),%xmm0
  mov    (%rax),%rbx
  mov    $0x1,%eax
  call   <Norm_LogGrid@plt>
  pxor   %xmm0,%xmm0
  movsd  0x48(%rsp),%xmm6
  cvtsi2sd %eax,%xmm0
  ucomisd %xmm0,%xmm6
  ja     L261
  movapd %xmm0,%xmm1
  sqrtsd %xmm1,%xmm1
L689:
  movsd  0x98(%rsp),%xmm0
  movsd  0x30(%rsp),%xmm6
  movq   %rbx,%xmm7
  mov    0x130(%rsp),%rax
  mov    0x12c(%rsp),%ecx
  movsd  0x120(%rsp),%xmm2
  divsd  %xmm1,%xmm0
  lea    0x8(,%rax,8),%rdx
  xor    %eax,%eax
  mulsd  %xmm0,%xmm6
  mulsd  %xmm0,%xmm7
  mulsd  %xmm0,%xmm2
  movq   %xmm6,%rbp
  movsd  %xmm7,0x8(%rsp)
  test   %ecx,%ecx
  js     L73
  nopw   0x0(%rax,%rax,1)
L309:
  movsd  (%r15,%rax,1),%xmm1
  mulsd  %xmm0,%xmm1
  movsd  %xmm1,(%r15,%rax,1)
  movsd  0x0(%r13,%rax,1),%xmm1
  mulsd  %xmm0,%xmm1
  movsd  %xmm1,0x0(%r13,%rax,1)
  add    $0x8,%rax
  cmp    %rdx,%rax
  jne    L309
L73:
  mov    0x12c(%rsp),%eax
  add    $0x1,%eax
  cmp    %eax,0xc4(%rsp)
  jle    L330
  mov    0x130(%rsp),%rsi
  mov    0xc4(%rsp),%eax
  sub    0x12c(%rsp),%eax
  mov    0x138(%rsp),%rdi
  lea    -0x2(%rax),%ecx
  lea    0x1(%rsi),%rdx
  lea    0x2(%rcx,%rsi,1),%rax
  add    $0x8,%rdi
  shl    $0x3,%rax
  lea    0x0(%r13,%rdi,1),%r12
  add    %r15,%rdi
  lea    0x0(%r13,%rax,1),%rsi
  cmp    %rsi,%rdi
  jae    L123
  add    %r15,%rax
  cmp    %rax,%r12
  jae    L123
L631:
  movq   $0x0,(%r15,%rdx,8)
  movq   $0x0,0x0(%r13,%rdx,8)
  add    $0x1,%rdx
  cmp    %edx,0xc4(%rsp)
  jg     L631
  jmp    L330
L123:
  lea    0x8(,%rcx,8),%rbx
  xor    %esi,%esi
  movsd  %xmm2,0x18(%rsp)
  mov    %rbx,%rdx
  call   <memset@plt>
  mov    %rbx,%rdx
  xor    %esi,%esi
  mov    %r12,%rdi
  call   <memset@plt>
  movsd  0x18(%rsp),%xmm2
L330:
  movq   %rbp,%xmm0
  subsd  0x8(%rsp),%xmm2
  mov    0x80(%rsp),%rax
  mulsd  D145(%rip),%xmm0
  mov    0xe8(%rsp),%rcx
  movsd  0x10(%rsp),%xmm1
  mulsd  (%rax,%rcx,1),%xmm1
  mulsd  %xmm2,%xmm0
  divsd  %xmm1,%xmm0
  movsd  0x58(%rsp),%xmm1
  andpd  D16(%rip),%xmm1
  comisd D108(%rip),%xmm1
  movapd %xmm0,%xmm2
  andpd  D16(%rip),%xmm2
  ja     L411
  movsd  D174(%rip),%xmm1
L525:
  comisd %xmm2,%xmm1
  ja     L458
  movsd  0x48(%rsp),%xmm1
  movsd  0x58(%rsp),%xmm6
  movapd %xmm0,%xmm5
  movsd  0xa0(%rsp),%xmm2
  movsd  0xb8(%rsp),%xmm4
  cmpltsd %xmm0,%xmm1
  addsd  %xmm6,%xmm5
  movapd %xmm1,%xmm3
  andpd  %xmm1,%xmm2
  movsd  %xmm5,0x58(%rsp)
  andnpd %xmm6,%xmm3
  movapd %xmm3,%xmm7
  orpd   %xmm2,%xmm7
  movapd %xmm6,%xmm2
  andpd  %xmm1,%xmm2
  comisd %xmm7,%xmm5
  andnpd %xmm4,%xmm1
  movsd  %xmm7,0xa0(%rsp)
  movapd %xmm1,%xmm4
  orpd   %xmm2,%xmm4
  movsd  %xmm4,0xb8(%rsp)
  ja     L281
  comisd %xmm5,%xmm4
  jbe    L343
L281:
  movsd  0xa0(%rsp),%xmm0
  addsd  0xb8(%rsp),%xmm0
  mulsd  D145(%rip),%xmm0
  movsd  %xmm0,0x58(%rsp)
  jmp    L343
L429:
  mov    %r14,%rsi
  mov    %r13,%rdx
  mov    %r15,%rax
  sub    %r15,%rsi
  sub    %r15,%rdx
L85:
  movq   $0x0,(%rsi,%rax,1)
  movq   $0x0,(%rdx,%rax,1)
  add    $0x8,%rax
  movq   $0x0,-0x8(%rax)
  cmp    %rax,%rcx
  jne    L85
  jmp    L668
L411:
  mulsd  D12(%rip),%xmm1
  jmp    L525
L437:
  sub    $0x5,%eax
  mov    0x128(%rsp),%ebx
  mov    %eax,0x12c(%rsp)
  jmp    L224
L590:
  cvttsd2si %xmm0,%rax
  pxor   %xmm1,%xmm1
  movsd  0x98(%rsp),%xmm6
  cvtsi2sd %rax,%xmm1
  movapd %xmm1,%xmm2
  cmpnlesd %xmm0,%xmm2
  andpd  %xmm6,%xmm2
  subsd  %xmm2,%xmm1
  movsd  D16(%rip),%xmm2
  andnpd %xmm0,%xmm2
  orpd   %xmm2,%xmm1
  movapd %xmm1,%xmm0
  jmp    L632
L20:
  jne    L232
  jmp    L273
  nopl   (%rax)
L458:
  mov    0x108(%rsp),%rax
  mov    0x54(%rsp),%ecx
  mov    %r14,%r15
  movsd  0x58(%rsp),%xmm7
  mov    %ecx,(%rax)
  mov    0x110(%rsp),%rax
  movsd  %xmm7,(%rax)
  jmp    L241
L261:
  call   <sqrt@plt>
  movapd %xmm0,%xmm1
  jmp    L689
L406:
  call   <sqrt@plt>
  movsd  %xmm0,0x88(%rsp)
  jmp    L130
L63:
  movsd  %xmm1,0x18(%rsp)
  movsd  %xmm4,0x10(%rsp)
  movsd  %xmm2,0x8(%rsp)
  call   <sqrt@plt>
  movsd  0x18(%rsp),%xmm1
  movsd  0x10(%rsp),%xmm4
  movsd  0x8(%rsp),%xmm2
  jmp    L609
L227:
  movsd  %xmm3,0x10(%rsp)
  movsd  %xmm1,0x8(%rsp)
  call   <sqrt@plt>
  movsd  0x10(%rsp),%xmm3
  movsd  0x8(%rsp),%xmm1
  jmp    L184
L623:
  movsd  %xmm1,0x18(%rsp)
  call   <sqrt@plt>
  movsd  0x18(%rsp),%xmm1
  movsd  %xmm0,0x8(%rsp)
  jmp    L483
```

tool_calls: name: retrieve_data
arguments: data_label: D298
type_infered: byte[8]
name: retrieve_data
arguments: data_label: D13
type_infered: f64
name: retrieve_data
arguments: data_label: D145
type_infered: f64
name: retrieve_data
arguments: data_label: D254
type_infered: f64
name: retrieve_data
arguments: data_label: D252
type_infered: f64
name: retrieve_data
arguments: data_label: D258
type_infered: f32[4]
name: retrieve_data
arguments: data_label: D65
type_infered: byte[8]
name: retrieve_data
arguments: data_label: D110
type_infered: byte[8]
name: retrieve_data
arguments: data_label: D46
type_infered: string
name: retrieve_data
arguments: data_label: D289
type_infered: string
name: retrieve_data
arguments: data_label: D16
type_infered: qword[2]
name: retrieve_data
arguments: data_label: D149
type_infered: f32[2]
name: retrieve_data
arguments: data_label: D126
type_infered: f64
name: retrieve_data
arguments: data_label: D108
type_infered: f64[2]
name: retrieve_data
arguments: data_label: D174
type_infered: byte[8]
name: retrieve_data
arguments: data_label: D12
type_infered: byte[8]

tool: {"D298": [0xfc,0x1c,0xef,0x0c,0x46,0xeb,0x0b,0x3f]}

tool: D13: 1

tool: D145: 0.5

tool: D254: 1.25

tool: D252: 0.75

tool: {"D258": [0.0,-0.0,0.0,0.0]}

tool: {"D65": [0xfc,0x1c,0xef,0x0c,0x46,0xeb,0xfb,0x3e]}

tool: {"D110": [0xfc,0x1c,0xef,0x0c,0x46,0xeb,0x0b,0xbf]}

tool: D46: Error R_Pauli: More than %d iterations


tool: D289: Error in R_Pauli: no turning point

tool: {"D16": [0x7fffffffffffffff,0x0000000000000000]}

tool: {"D149": [0.0,176.0]}

tool: D126: 2.3

tool: {"D108": [0.2,1e-10]}

tool: {"D174": [0x96,0x64,0x79,0xe1,0x7f,0xfd,0xb5,0x3d]}

tool: {"D12": [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;
}
```