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

```asm
<target_phi>:
  endbr64
  push   %rbx
  pxor   %xmm0,%xmm0
  mov    %rsi,%rbx
  sub    $0xb0,%rsp
  mov    %fs:0x28,%rax
  mov    %rax,0xa8(%rsp)
  xor    %eax,%eax
  movaps %xmm0,0x80(%rsp)
  test   %edx,%edx
  jle    L26
  movss  D308(%rip),%xmm5
  cmp    $0x1,%edx
  je     L45
  movss  %xmm5,0x84(%rsp)
  cmp    $0x2,%edx
  je     L45
  movl   $0x3d638e39,0x88(%rsp)
  cmp    $0x3,%edx
  je     L45
  movl   $0x3d638c9b,0x8c(%rsp)
L45:
  movss  0x84(%rsp),%xmm6
  pxor   %xmm11,%xmm11
  movss  0x88(%rsp),%xmm2
  movss  0x8c(%rsp),%xmm0
L85:
  movss  D216(%rip),%xmm1
  movss  (%rdi),%xmm4
  movss  0x4(%rdi),%xmm3
  movss  D262(%rip),%xmm7
  movss  D324(%rip),%xmm13
  subss  %xmm1,%xmm4
  movss  D70(%rip),%xmm12
  movss  D314(%rip),%xmm8
  subss  %xmm1,%xmm3
  movss  0x8(%rdi),%xmm1
  subss  D372(%rip),%xmm1
  mulss  %xmm5,%xmm4
  mulss  %xmm6,%xmm3
  mulss  %xmm2,%xmm1
  mulss  0x8(%rbx),%xmm2
  mulss  (%rbx),%xmm5
  addss  %xmm7,%xmm4
  mulss  0x4(%rbx),%xmm6
  addss  %xmm7,%xmm3
  addss  %xmm7,%xmm1
  mulss  %xmm4,%xmm12
  movaps %xmm2,%xmm15
  movss  0xc(%rdi),%xmm2
  subss  D156(%rip),%xmm2
  mulss  %xmm3,%xmm13
  movaps %xmm4,%xmm9
  movss  %xmm5,0x28(%rsp)
  movaps %xmm4,%xmm5
  mulss  %xmm4,%xmm9
  mulss  %xmm0,%xmm2
  mulss  0xc(%rbx),%xmm0
  mulss  %xmm1,%xmm8
  movss  %xmm12,0x2c(%rsp)
  movss  %xmm13,0xc(%rsp)
  movss  D89(%rip),%xmm13
  mulss  %xmm9,%xmm5
  mulss  %xmm4,%xmm13
  addss  %xmm7,%xmm2
  movaps %xmm3,%xmm7
  mulss  %xmm3,%xmm7
  movaps %xmm0,%xmm14
  movaps %xmm1,%xmm0
  mulss  %xmm1,%xmm0
  movss  %xmm8,0x14(%rsp)
  movaps %xmm2,%xmm10
  mulss  %xmm2,%xmm10
  movss  %xmm13,0x10(%rsp)
  movss  D197(%rip),%xmm13
  movss  %xmm0,0x44(%rsp)
  mulss  %xmm1,%xmm0
  mulss  D288(%rip),%xmm0
  mulss  %xmm7,%xmm13
  movss  %xmm0,0x18(%rsp)
  movss  D224(%rip),%xmm0
  movss  %xmm13,0x30(%rsp)
  mulss  %xmm1,%xmm13
  mulss  %xmm5,%xmm0
  movss  D253(%rip),%xmm5
  mulss  %xmm4,%xmm5
  movss  %xmm13,0x34(%rsp)
  movss  %xmm0,0x1c(%rsp)
  movss  D53(%rip),%xmm0
  mulss  %xmm3,%xmm0
  movss  %xmm0,0x20(%rsp)
  movss  D358(%rip),%xmm0
  addss  %xmm5,%xmm0
  movss  D87(%rip),%xmm5
  mulss  %xmm1,%xmm5
  movaps %xmm5,%xmm8
  movss  D161(%rip),%xmm5
  addss  %xmm0,%xmm8
  movaps %xmm12,%xmm0
  mulss  %xmm3,%xmm0
  mulss  %xmm2,%xmm5
  addss  %xmm8,%xmm0
  movss  0xc(%rsp),%xmm8
  mulss  %xmm1,%xmm8
  addss  %xmm0,%xmm8
  movss  0x10(%rsp),%xmm0
  mulss  %xmm2,%xmm0
  addss  %xmm8,%xmm0
  movss  0x14(%rsp),%xmm8
  mulss  %xmm2,%xmm8
  addss  %xmm0,%xmm8
  movaps %xmm5,%xmm0
  movss  D364(%rip),%xmm5
  mulss  %xmm3,%xmm5
  addss  %xmm8,%xmm0
  movaps %xmm5,%xmm8
  movss  D282(%rip),%xmm5
  addss  %xmm0,%xmm8
  mulss  %xmm4,%xmm5
  movaps %xmm5,%xmm0
  movss  D290(%rip),%xmm5
  mulss  %xmm10,%xmm0
  mulss  %xmm4,%xmm5
  addss  %xmm8,%xmm0
  movss  0x18(%rsp),%xmm8
  mulss  %xmm2,%xmm8
  addss  %xmm8,%xmm0
  movaps %xmm5,%xmm8
  movss  D57(%rip),%xmm5
  mulss  %xmm7,%xmm8
  mulss  %xmm1,%xmm5
  addss  %xmm0,%xmm8
  movaps %xmm5,%xmm0
  movss  D302(%rip),%xmm5
  mulss  %xmm10,%xmm0
  mulss  %xmm9,%xmm5
  addss  %xmm8,%xmm0
  movss  0x1c(%rsp),%xmm8
  mulss  %xmm3,%xmm8
  addss  %xmm0,%xmm8
  movaps %xmm13,%xmm0
  movss  D439(%rip),%xmm13
  mulss  %xmm2,%xmm0
  mulss  %xmm3,%xmm13
  addss  %xmm8,%xmm0
  movss  0x20(%rsp),%xmm8
  movaps %xmm13,%xmm12
  mulss  %xmm1,%xmm8
  mulss  %xmm1,%xmm12
  mulss  %xmm10,%xmm8
  movss  %xmm12,0x24(%rsp)
  movaps %xmm5,%xmm12
  mulss  %xmm3,%xmm5
  addss  %xmm8,%xmm0
  movss  D357(%rip),%xmm8
  mulss  %xmm7,%xmm8
  movss  %xmm5,0x3c(%rsp)
  movss  %xmm8,0x38(%rsp)
  mulss  %xmm1,%xmm8
  addss  %xmm8,%xmm0
  movss  0x24(%rsp),%xmm8
  mulss  %xmm2,%xmm8
  addss  %xmm0,%xmm8
  movaps %xmm5,%xmm0
  movss  0x28(%rsp),%xmm5
  mulss  %xmm1,%xmm0
  addss  %xmm11,%xmm5
  addss  %xmm0,%xmm8
  movaps %xmm3,%xmm0
  mulss  %xmm7,%xmm0
  mulss  D74(%rip),%xmm0
  movss  %xmm0,0x40(%rsp)
  mulss  %xmm1,%xmm0
  addss  %xmm0,%xmm8
  movaps %xmm5,%xmm0
  addss  %xmm6,%xmm0
  addss  %xmm15,%xmm0
  addss  %xmm14,%xmm0
  ucomiss %xmm11,%xmm0
  jp     L61
  movaps %xmm11,%xmm0
  jne    L61
L53:
  movss  %xmm0,(%rbx)
  mov    0xa8(%rsp),%rax
  sub    %fs:0x28,%rax
  jne    L2
  add    $0xb0,%rsp
  movaps %xmm8,%xmm0
  pop    %rbx
  ret
  nopl   0x0(%rax)
L61:
  movss  %xmm6,0x48(%rsp)
  movss  0x28(%rsp),%xmm6
  movss  D89(%rip),%xmm0
  mov    $0x2,%edi
  movss  %xmm8,0x7c(%rsp)
  mulss  %xmm2,%xmm0
  movaps %xmm6,%xmm5
  movss  %xmm14,0x78(%rsp)
  mulss  %xmm6,%xmm5
  movss  D70(%rip),%xmm6
  movss  %xmm15,0x74(%rsp)
  movss  %xmm13,0x6c(%rsp)
  mulss  %xmm3,%xmm6
  movss  %xmm11,0x58(%rsp)
  movss  %xmm12,0x70(%rsp)
  movss  %xmm2,0x68(%rsp)
  movss  %xmm5,0x28(%rsp)
  movss  %xmm10,0x64(%rsp)
  movaps %xmm6,%xmm5
  movss  D282(%rip),%xmm6
  subss  D325(%rip),%xmm5
  movss  %xmm7,0x60(%rsp)
  movss  %xmm4,0x54(%rsp)
  mulss  %xmm10,%xmm6
  movss  %xmm3,0x50(%rsp)
  addss  %xmm5,%xmm0
  movss  %xmm1,0x4c(%rsp)
  movaps %xmm6,%xmm5
  addss  %xmm0,%xmm5
  movss  D290(%rip),%xmm0
  mulss  %xmm7,%xmm0
  addss  %xmm0,%xmm5
  movss  D226(%rip),%xmm0
  mulss  %xmm9,%xmm0
  movaps %xmm4,%xmm9
  mulss  D337(%rip),%xmm9
  mulss  %xmm3,%xmm0
  mulss  %xmm3,%xmm9
  addss  %xmm5,%xmm0
  mulss  %xmm1,%xmm9
  addss  %xmm9,%xmm0
  call   <pow@plt>
  movss  0x4c(%rsp),%xmm1
  mov    $0x2,%edi
  movss  D324(%rip),%xmm5
  movss  0x58(%rsp),%xmm11
  mulss  0x28(%rsp),%xmm0
  movss  0x2c(%rsp),%xmm4
  mulss  %xmm1,%xmm5
  movss  0x50(%rsp),%xmm3
  movss  %xmm1,0x2c(%rsp)
  movss  0x68(%rsp),%xmm2
  movss  0x64(%rsp),%xmm10
  movss  %xmm11,0x5c(%rsp)
  addss  %xmm11,%xmm4
  movss  0x70(%rsp),%xmm12
  movss  0x60(%rsp),%xmm7
  mulss  D63(%rip),%xmm7
  movss  0x48(%rsp),%xmm6
  movss  %xmm2,0x4c(%rsp)
  movss  %xmm0,0x28(%rsp)
  mulss  %xmm1,%xmm12
  mulss  %xmm6,%xmm6
  movaps %xmm4,%xmm0
  movss  0x54(%rsp),%xmm4
  movss  %xmm10,0x54(%rsp)
  addss  %xmm5,%xmm0
  movss  D229(%rip),%xmm5
  subss  D11(%rip),%xmm0
  movss  %xmm4,0x58(%rsp)
  mulss  %xmm3,%xmm5
  mulss  %xmm1,%xmm7
  movss  %xmm6,0x48(%rsp)
  mulss  %xmm4,%xmm5
  movss  0x1c(%rsp),%xmm4
  addss  %xmm0,%xmm5
  addss  %xmm5,%xmm4
  movss  D31(%rip),%xmm5
  mulss  %xmm3,%xmm5
  mulss  %xmm1,%xmm5
  mulss  %xmm2,%xmm5
  addss  %xmm4,%xmm5
  movss  D53(%rip),%xmm4
  mulss  %xmm1,%xmm4
  movaps %xmm4,%xmm0
  mulss  %xmm10,%xmm0
  addss  %xmm5,%xmm0
  movss  D267(%rip),%xmm5
  mulss  %xmm3,%xmm5
  movss  D439(%rip),%xmm3
  mulss  %xmm1,%xmm3
  mulss  %xmm1,%xmm5
  addss  %xmm0,%xmm5
  movaps %xmm3,%xmm0
  mulss  %xmm2,%xmm0
  addss  %xmm5,%xmm0
  addss  %xmm0,%xmm12
  addss  %xmm7,%xmm12
  movaps %xmm12,%xmm0
  call   <pow@plt>
  mulss  0x48(%rsp),%xmm0
  movss  0x28(%rsp),%xmm7
  mov    $0x2,%edi
  movss  0x4c(%rsp),%xmm2
  movss  D87(%rip),%xmm5
  addss  0xc(%rsp),%xmm5
  movss  0x54(%rsp),%xmm10
  movss  0x6c(%rsp),%xmm13
  movss  0x74(%rsp),%xmm15
  addss  %xmm0,%xmm7
  movss  D314(%rip),%xmm0
  mulss  %xmm2,%xmm13
  mulss  %xmm15,%xmm15
  mulss  %xmm2,%xmm0
  movss  %xmm7,0x1c(%rsp)
  movss  %xmm15,0x28(%rsp)
  addss  %xmm0,%xmm5
  movss  0x44(%rsp),%xmm0
  mulss  D238(%rip),%xmm0
  mulss  %xmm2,%xmm0
  addss  %xmm5,%xmm0
  movss  D57(%rip),%xmm5
  mulss  %xmm10,%xmm5
  addss  %xmm0,%xmm5
  movss  0x30(%rsp),%xmm0
  mulss  %xmm2,%xmm0
  addss  %xmm5,%xmm0
  movss  0x20(%rsp),%xmm5
  movss  %xmm2,0x20(%rsp)
  mulss  %xmm10,%xmm5
  addss  %xmm0,%xmm5
  addss  0x38(%rsp),%xmm5
  movss  0x40(%rsp),%xmm0
  addss  %xmm13,%xmm5
  addss  0x3c(%rsp),%xmm5
  addss  %xmm5,%xmm0
  call   <pow@plt>
  movss  0x20(%rsp),%xmm2
  movss  D48(%rip),%xmm5
  mov    $0x2,%edi
  mulss  0x28(%rsp),%xmm0
  movss  0x5c(%rsp),%xmm11
  mulss  %xmm2,%xmm5
  addss  0x1c(%rsp),%xmm0
  movss  0x10(%rsp),%xmm7
  movss  0x58(%rsp),%xmm4
  movss  0x50(%rsp),%xmm3
  addss  %xmm11,%xmm7
  movss  0x2c(%rsp),%xmm1
  movss  0x78(%rsp),%xmm14
  movss  %xmm0,0xc(%rsp)
  movss  0x14(%rsp),%xmm0
  mulss  %xmm14,%xmm14
  mulss  %xmm5,%xmm4
  addss  %xmm7,%xmm0
  addss  D161(%rip),%xmm0
  movss  %xmm14,0x1c(%rsp)
  addss  %xmm4,%xmm0
  movss  D113(%rip),%xmm4
  addss  0x18(%rsp),%xmm0
  mulss  %xmm2,%xmm4
  mulss  D296(%rip),%xmm2
  mulss  %xmm1,%xmm4
  mulss  %xmm3,%xmm2
  addss  %xmm4,%xmm0
  addss  0x34(%rsp),%xmm0
  mulss  %xmm1,%xmm2
  addss  %xmm2,%xmm0
  addss  0x24(%rsp),%xmm0
  call   <pow@plt>
  mulss  0x1c(%rsp),%xmm0
  addss  0xc(%rsp),%xmm0
  call   <sqrt@plt>
  movss  0x7c(%rsp),%xmm8
  jmp    L53
  nopw   0x0(%rax,%rax,1)
L26:
  pxor   %xmm11,%xmm11
  movaps %xmm11,%xmm0
  movaps %xmm11,%xmm2
  movaps %xmm11,%xmm6
  movaps %xmm11,%xmm5
  jmp    L85
L2:
  call   <__stack_chk_fail@plt>
```

tool_calls: name: parse_data
arguments: tag: D308
type_infered: byte[4]
name: parse_data
arguments: tag: D216
type_infered: f32
name: parse_data
arguments: tag: D262
type_infered: f32
name: parse_data
arguments: tag: D324
type_infered: byte[4]
name: parse_data
arguments: tag: D70
type_infered: byte[4]
name: parse_data
arguments: tag: D314
type_infered: byte[4]
name: parse_data
arguments: tag: D372
type_infered: f32
name: parse_data
arguments: tag: D156
type_infered: byte[4]
name: parse_data
arguments: tag: D89
type_infered: byte[4]
name: parse_data
arguments: tag: D197
type_infered: byte[4]
name: parse_data
arguments: tag: D288
type_infered: byte[4]
name: parse_data
arguments: tag: D224
type_infered: byte[4]
name: parse_data
arguments: tag: D253
type_infered: byte[4]
name: parse_data
arguments: tag: D53
type_infered: byte[4]
name: parse_data
arguments: tag: D358
type_infered: byte[4]
name: parse_data
arguments: tag: D87
type_infered: byte[4]
name: parse_data
arguments: tag: D161
type_infered: byte[4]
name: parse_data
arguments: tag: D364
type_infered: byte[4]
name: parse_data
arguments: tag: D282
type_infered: byte[4]
name: parse_data
arguments: tag: D290
type_infered: byte[4]
name: parse_data
arguments: tag: D57
type_infered: byte[4]
name: parse_data
arguments: tag: D302
type_infered: byte[4]
name: parse_data
arguments: tag: D439
type_infered: byte[4]
name: parse_data
arguments: tag: D357
type_infered: byte[4]
name: parse_data
arguments: tag: D74
type_infered: byte[4]
name: parse_data
arguments: tag: D325
type_infered: byte[4]
name: parse_data
arguments: tag: D226
type_infered: byte[4]
name: parse_data
arguments: tag: D337
type_infered: byte[4]
name: parse_data
arguments: tag: D63
type_infered: byte[4]
name: parse_data
arguments: tag: D229
type_infered: byte[4]
name: parse_data
arguments: tag: D11
type_infered: byte[4]
name: parse_data
arguments: tag: D31
type_infered: byte[4]
name: parse_data
arguments: tag: D267
type_infered: byte[4]
name: parse_data
arguments: tag: D238
type_infered: byte[4]
name: parse_data
arguments: tag: D48
type_infered: byte[4]
name: parse_data
arguments: tag: D113
type_infered: byte[4]
name: parse_data
arguments: tag: D296
type_infered: byte[4]

tool: {"D308": [0x89,0x88,0x88,0x3d]}

tool: D216: 15

tool: D262: 1

tool: {"D324": [0x90,0xc6,0xaa,0xbb]}

tool: {"D70": [0x53,0x07,0x3b,0x3b]}

tool: {"D314": [0xfb,0xf5,0x0e,0x3c]}

tool: D372: 18

tool: {"D156": [0x6d,0xe7,0x8f,0x41]}

tool: {"D89": [0xad,0xa7,0x9d,0xbb]}

tool: {"D197": [0x35,0xce,0xf7,0xb9]}

tool: {"D288": [0x6a,0x6a,0xc0,0xb8]}

tool: {"D224": [0x25,0x40,0x13,0xb8]}

tool: {"D253": [0xd5,0xaa,0x69,0xbd]}

tool: {"D53": [0xe2,0x45,0xac,0x39]}

tool: {"D358": [0x5b,0x3b,0x9e,0x36]}

tool: {"D87": [0x8f,0xc4,0x8c,0x3d]}

tool: {"D161": [0x0e,0x7e,0x4d,0x38]}

tool: {"D364": [0x34,0x09,0xf8,0xb7]}

tool: {"D282": [0x73,0xac,0x5c,0xb8]}

tool: {"D290": [0xc9,0xe9,0xd9,0x37]}

tool: {"D57": [0x99,0xe8,0x3d,0x39]}

tool: {"D302": [0xb0,0x44,0xba,0x38]}

tool: {"D439": [0xd4,0xc5,0x16,0xb9]}

tool: {"D357": [0xb8,0x2d,0x5b,0x37]}

tool: {"D74": [0xa1,0xd9,0x33,0x39]}

tool: {"D325": [0xd5,0xaa,0x69,0x3d]}

tool: {"D226": [0x38,0xe0,0xdc,0xb8]}

tool: {"D337": [0xb0,0x44,0x3a,0x39]}

tool: {"D63": [0x39,0xe3,0x06,0x3a]}

tool: {"D229": [0xc9,0xe9,0x59,0x38]}

tool: {"D11": [0x34,0x09,0xf8,0x37]}

tool: {"D31": [0x35,0xce,0x77,0xba]}

tool: {"D267": [0xb8,0x2d,0xdb,0x37]}

tool: {"D238": [0xd0,0x4f,0x90,0xb9]}

tool: {"D48": [0x73,0xac,0xdc,0xb8]}

tool: {"D113": [0x99,0xe8,0xbd,0x39]}

tool: {"D296": [0xe2,0x45,0x2c,0x3a]}

assistant: ```c
float target_phi(float *x, float *dx, int m) {
  int ncoeff = 20;
  float avdat = 0.4717516E-05;
  float xmin[10] = {-0.15000E+02, -0.15000E+02, -0.18000E+02, -0.18013E+02, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00};
  float xmax[10] = {0.15000E+02, 0.15000E+02, 0.18000E+02, 0.17988E+02, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00, 0.00000E+00};
  float scale[10] = {0};
  float coeff[21] = {-0.18391417E-08, -0.57047684E-01, 0.68734281E-01, 0.28538301E-02, -0.52116588E-02, -0.48112483E-02, 0.87256385E-02, 0.48993206E-04, -0.29568189E-04, -0.52612693E-04, -0.91750946E-04, 0.25977281E-04, 0.18111094E-03, -0.35107270E-04, -0.47265147E-03, 0.32858463E-03, 0.13064062E-04, -0.14378811E-03, 0.88819652E-04, 0.17151843E-03, 0.};
  int ientry = 0;
  int i;
  if (ientry == 0) {
    ientry = 1;
    for (i = 0; i < m; i++) {
      if (xmin[i] == xmax[i])
        continue;
      scale[i] = 2. / (xmax[i] - xmin[i]);
    }
  }
  float x1 = 1. + (x[0] - xmax[0]) * scale[0];
  float dx1 = dx[0] * scale[0];
  float x2 = 1. + (x[1] - xmax[1]) * scale[1];
  float dx2 = dx[1] * scale[1];
  float x3 = 1. + (x[2] - xmax[2]) * scale[2];
  float dx3 = dx[2] * scale[2];
  float x4 = 1. + (x[3] - xmax[3]) * scale[3];
  float dx4 = dx[3] * scale[3];
  float x11 = x1;
  float x12 = x11 * x1;
  float x13 = x12 * x1;
  float x21 = x2;
  float x22 = x21 * x2;
  float x23 = x22 * x2;
  float x31 = x3;
  float x32 = x31 * x3;
  float x33 = x32 * x3;
  float x41 = x4;
  float x42 = x41 * x4;
  float v_target_phi = avdat + coeff[0] + coeff[1] * x11 + coeff[2] * x31 + coeff[3] * x11 * x21 + coeff[4] * x21 * x31 + coeff[5] * x11 * x41 + coeff[6] * x31 * x41 + coeff[7] * x41;
  v_target_phi = v_target_phi + coeff[8] * x21 + coeff[9] * x11 * x42 + coeff[10] * x33 * x41 + coeff[11] * x11 * x22 + coeff[12] * x31 * x42 + coeff[13] * x13 * x21 + coeff[14] * x22 * x31 * x41 + coeff[15] * x21 * x31 * x42 + coeff[16] * x22 * x31;
  v_target_phi = v_target_phi + coeff[17] * x21 * x31 * x41 + coeff[18] * x12 * x21 * x31 + coeff[19] * x23 * x31;
  float dxall = 0 + dx1 + dx2 + dx3 + dx4;
  float dv_target_phi = dxall == 0 ? 0 : sqrt(+dx1 * dx1 * pow(0 + coeff[1] + coeff[3] * x21 + coeff[5] * x41 + coeff[9] * x42 + coeff[11] * x22 + 3 * coeff[13] * x12 * x21 + 2 * coeff[18] * x11 * x21 * x31, 2) + dx2 * dx2 * pow(0 + coeff[3] * x11 + coeff[4] * x31 + coeff[8] + 2 * coeff[11] * x21 * x11 + coeff[13] * x13 + 2 * coeff[14] * x21 * x31 * x41 + coeff[15] * x31 * x42 + 2 * coeff[16] * x21 * x31 + coeff[17] * x31 * x41 + coeff[18] * x12 * x31 + 3 * coeff[19] * x22 * x31, 2) + dx3 * dx3 * pow(0 + coeff[2] + coeff[4] * x21 + coeff[6] * x41 + 3 * coeff[10] * x32 * x41 + coeff[12] * x42 + coeff[14] * x22 * x41 + coeff[15] * x21 * x42 + coeff[16] * x22 + coeff[17] * x21 * x41 + coeff[18] * x12 * x21 + coeff[19] * x23, 2) + dx4 * dx4 * pow(0 + coeff[5] * x11 + coeff[6] * x31 + coeff[7] + 2 * coeff[9] * x41 * x11 + coeff[10] * x33 + 2 * coeff[12] * x41 * x31 + coeff[14] * x22 * x31 + 2 * coeff[15] * x41 * x21 * x31 + coeff[17] * x21 * x31, 2));
  dx[0] = dv_target_phi;
  return v_target_phi;
}
```