code: def distance_plane(point: List[int], rel_str: str):
      """
      Returns the minimum distance from the given point to the relation given by `rel_str` which has the form:
      A x + B y - z + C = 0
      """
      relation_type = "plane"
      degree: int = RELTYPE_INFO[relation_type].degree
      num_variables: int = RELTYPE_INFO[relation_type].num_variables
      rel = Polynomial.from_string(
          rel_str.split(" = ")[-1], degree, num_variables
      )
      A = rel.coeffs[0]
      B = rel.coeffs[1]
      C = -1
      D = rel.coeffs[2]
      x, y, z = point
      d = abs((A * x + B * y + C * z + D))
      e = math.sqrt(A**2 + B**2 + C**2)
      return float(d / e)
  
imports: from collections import defaultdict
  from dataclasses import dataclass, field
  from itertools import combinations_with_replacement, product
  import math
  from math import comb
  import numpy
  import numpy.typing
  import random
  import sympy
  from sympy import Symbol, Poly, diff
  from sympy.parsing.sympy_parser import standard_transformations, implicit_multiplication_application
  from typing import List, Optional, Tuple, Dict
  from helm.benchmark.adaptation.adapters.adapter_factory import ADAPT_GENERATION
  from helm.benchmark.adaptation.adapter_spec import AdapterSpec
  from helm.benchmark.window_services.tokenizer_service import TokenizerService
  from helm.common.authentication import Authentication
  from helm.proxy.services.server_service import ServerService
  from .scenario import Scenario, Instance, Reference, TRAIN_SPLIT, TEST_SPLIT, CORRECT_TAG, Input, Output
label_desc: Use image node_id 15 for calling a global function with example usage: distance_plane(point, rel_str) and returns: float