{
  "schema": "asn.public-local-bfcl-v4-tool-choice-extension.v1",
  "study_id": "bfcl-v4-multiple-local-tool-choice-extension-2026-10-24",
  "title": "Twelve-task BFCL V4 local tool-choice extension",
  "evaluated_at": {
    "start": "2026-10-24T09:36:38.521Z",
    "end": "2026-10-24T09:46:15.691Z"
  },
  "source": {
    "benchmark": "Berkeley Function Calling Leaderboard (BFCL) V4",
    "repository": "https://github.com/ShishirPatil/gorilla/tree/58f57e9124ea981403792dd51e00a6577e621fae/berkeley-function-call-leaderboard",
    "commit": "58f57e9124ea981403792dd51e00a6577e621fae",
    "license": "Apache-2.0",
    "category": "BFCL_v4_multiple",
    "cases_sha256": "aef168155ebd74b7ac2401198b201343bc7d16d7a3d7e0d4e6d8ee82c6969b2a",
    "answer_file_sha256": "244e00ce9395df948bcafc7bee64e8f9c87ef70887587d83cae45b13699f3047",
    "eligible_case_count": 67,
    "selection_rule": "SHA-256 order of asn-bfcl-v4-multiple-extension-v1|<case_id>; take first 12 eligible cases after excluding the five already measured BFCL pilot examples.",
    "selection_order_sha256": "546e8559a254c76631078d714a92a491917b1f9ea5b71ae3f532d3031ba8358a",
    "previous_five_pilot_tasks_excluded": true,
    "plan_sha256": "0df8705c39854f68123162d101f2692290afeddb15f9598195cfd0ed6510468e",
    "suite_sha256": "ec9a0bbdf8d029bc0675da5fbba6ead70445469144a54b79bf58f65712c84b30",
    "source_run_artifact_sha256": "057f7d2b5c0d92a2dae26f497f91f80c4f57835fd171868fd08e5ff6cfce514c"
  },
  "protocol": {
    "models": [
      {
        "name": "qwen2.5:1.5b",
        "digest": "65ec06548149b04c096a120e4a6da9d4017ea809c91734ea5631e89f96ddc57b"
      },
      {
        "name": "llama3.2:3b",
        "digest": "a80c4f17acd55265feec403c7aef86be0c25983ab279d83f3bcd3abbcb5b8b72"
      }
    ],
    "task_count": 12,
    "attempts": 24,
    "one_attempt_per_model_per_task": true,
    "prompt_variants": 1,
    "temperature": 0,
    "seed": 42,
    "request_timeout_ms": 60000,
    "max_runtime_ms": 1200000,
    "parallelism": 1,
    "grading": "Function choice is counted separately from exact function and typed-argument verification against the pinned source oracle. No downstream function is executed.",
    "runtime": "Ollama loopback only. External provider calls: 0. Provider spend: $0. Local electricity and hardware opportunity cost were not measured.",
    "tool_execution": false
  },
  "models": [
    {
      "name": "qwen2.5:1.5b",
      "digest": "65ec06548149b04c096a120e4a6da9d4017ea809c91734ea5631e89f96ddc57b",
      "attempts": 12,
      "function_selections_correct": 11,
      "function_selection_trials": 12,
      "exact_function_argument_passes": 8,
      "verified_failures": 4,
      "execution_errors": 0,
      "function_selection_wilson_95": {
        "lower": 0.6461,
        "upper": 0.9851
      },
      "exact_call_wilson_95": {
        "lower": 0.3906,
        "upper": 0.8619
      }
    },
    {
      "name": "llama3.2:3b",
      "digest": "a80c4f17acd55265feec403c7aef86be0c25983ab279d83f3bcd3abbcb5b8b72",
      "attempts": 12,
      "function_selections_correct": 12,
      "function_selection_trials": 12,
      "exact_function_argument_passes": 2,
      "verified_failures": 10,
      "execution_errors": 0,
      "function_selection_wilson_95": {
        "lower": 0.7575,
        "upper": 1
      },
      "exact_call_wilson_95": {
        "lower": 0.047,
        "upper": 0.448
      }
    }
  ],
  "tasks": [
    {
      "id": "multiple_179",
      "question": "What is the probability of getting a full house in poker?",
      "candidate_functions": [
        {
          "name": "poker_probability.full_house",
          "description": "Calculate the probability of getting a full house in a poker game.",
          "parameters": {
            "type": "object",
            "properties": {
              "deck_size": {
                "type": "integer",
                "description": "The size of the deck. Default is 52."
              },
              "hand_size": {
                "type": "integer",
                "description": "The size of the hand. Default is 5."
              }
            },
            "required": [
              "deck_size",
              "hand_size"
            ]
          }
        },
        {
          "name": "hospital.locate",
          "description": "Locate nearby hospitals based on location and radius. Options to include specific departments are available.",
          "parameters": {
            "type": "object",
            "properties": {
              "location": {
                "type": "string",
                "description": "The city and state, e.g. Denver, CO"
              },
              "radius": {
                "type": "integer",
                "description": "The radius within which you want to find the hospital in kms."
              },
              "department": {
                "type": "string",
                "description": "Specific department within the hospital. Default is ''.",
                "enum": [
                  "General Medicine",
                  "Emergency",
                  "Pediatrics",
                  "Cardiology",
                  "Orthopedics"
                ]
              }
            },
            "required": [
              "location",
              "radius"
            ]
          }
        },
        {
          "name": "find_recipe",
          "description": "Find a recipe based on the dietary restrictions, recipe type, and time constraints.",
          "parameters": {
            "type": "object",
            "properties": {
              "dietary_restrictions": {
                "type": "string",
                "description": "Dietary restrictions e.g. vegan, vegetarian, gluten free, dairy free."
              },
              "recipe_type": {
                "type": "string",
                "description": "Type of the recipe. E.g. dessert, main course, breakfast."
              },
              "time": {
                "type": "integer",
                "description": "Time limit in minutes to prep the meal."
              }
            },
            "required": [
              "dietary_restrictions",
              "recipe_type",
              "time"
            ]
          }
        }
      ],
      "expected_function": "poker_probability.full_house",
      "expected_arguments": {
        "deck_size": 52,
        "hand_size": 5
      },
      "accepted_arguments": {
        "deck_size": [
          52
        ],
        "hand_size": [
          5
        ]
      },
      "results": [
        {
          "model": "qwen2.5:1.5b",
          "selected_function": "poker_probability.full_house",
          "arguments": {
            "deck_size": 52,
            "hand_size": 5
          },
          "function_selection_correct": true,
          "exact_call_passed": true,
          "verification_reason": "exact_function_and_arguments",
          "elapsed_ms": 23184
        },
        {
          "model": "llama3.2:3b",
          "selected_function": "poker_probability.full_house",
          "arguments": {
            "deck_size": 52,
            "hand_size": 5
          },
          "function_selection_correct": true,
          "exact_call_passed": true,
          "verification_reason": "exact_function_and_arguments",
          "elapsed_ms": 46936
        }
      ]
    },
    {
      "id": "multiple_159",
      "question": "Calculate the total quantity of paint needed to cover a wall of 30 feet by 12 feet using a specific brand that covers 400 square feet per gallon.",
      "candidate_functions": [
        {
          "name": "prob_dist.binomial",
          "description": "Compute the probability of having 'success' outcome from binomial distribution.",
          "parameters": {
            "type": "object",
            "properties": {
              "trials": {
                "type": "integer",
                "description": "The number of independent experiments."
              },
              "successes": {
                "type": "integer",
                "description": "The number of success events."
              },
              "p": {
                "type": "number",
                "description": "The probability of success on any given trial, defaults to 0.5"
              }
            },
            "required": [
              "trials",
              "successes"
            ]
          }
        },
        {
          "name": "musical_scale",
          "description": "Get the musical scale of a specific key in music theory.",
          "parameters": {
            "type": "object",
            "properties": {
              "key": {
                "type": "string",
                "description": "The musical key for which the scale will be found."
              },
              "scale_type": {
                "type": "string",
                "description": "The type of musical scale."
              }
            },
            "required": [
              "key"
            ]
          }
        },
        {
          "name": "calculate_paint_needed",
          "description": "Calculate the amount of paint needed to cover a surface area based on the coverage rate of a specific paint brand.",
          "parameters": {
            "type": "object",
            "properties": {
              "coverage_rate": {
                "type": "integer",
                "description": "The area in square feet that one gallon of paint can cover."
              },
              "length": {
                "type": "integer",
                "description": "Length of the wall to be painted in feet."
              },
              "height": {
                "type": "integer",
                "description": "Height of the wall to be painted in feet."
              }
            },
            "required": [
              "coverage_rate",
              "length",
              "height"
            ]
          }
        }
      ],
      "expected_function": "calculate_paint_needed",
      "expected_arguments": {
        "coverage_rate": 400,
        "length": 30,
        "height": 12
      },
      "accepted_arguments": {
        "coverage_rate": [
          400
        ],
        "length": [
          30
        ],
        "height": [
          12
        ]
      },
      "results": [
        {
          "model": "llama3.2:3b",
          "selected_function": "calculate_paint_needed",
          "arguments": {
            "coverage_rate": "400",
            "length": "12",
            "height": "30"
          },
          "function_selection_correct": true,
          "exact_call_passed": false,
          "verification_reason": "arguments_schema_invalid",
          "elapsed_ms": 21787
        },
        {
          "model": "qwen2.5:1.5b",
          "selected_function": "calculate_paint_needed",
          "arguments": {
            "length": 12,
            "height": 30,
            "coverage_rate": 400
          },
          "function_selection_correct": true,
          "exact_call_passed": false,
          "verification_reason": "argument_mismatch",
          "elapsed_ms": 18067
        }
      ]
    },
    {
      "id": "multiple_34",
      "question": "Calculate the Least Common Multiple (LCM) of 18 and 12.",
      "candidate_functions": [
        {
          "name": "math.gcd",
          "description": "Calculates the greatest common divisor of two numbers.",
          "parameters": {
            "type": "object",
            "properties": {
              "num1": {
                "type": "integer",
                "description": "The first number."
              },
              "num2": {
                "type": "integer",
                "description": "The second number."
              }
            },
            "required": [
              "num1",
              "num2"
            ]
          }
        },
        {
          "name": "math.sqrt",
          "description": "Calculates the square root of a number.",
          "parameters": {
            "type": "object",
            "properties": {
              "num": {
                "type": "number",
                "description": "The number."
              },
              "accuracy": {
                "type": "integer",
                "description": "The number of decimal places in the result. Default to 0"
              }
            },
            "required": [
              "num"
            ]
          }
        },
        {
          "name": "math.lcm",
          "description": "Calculates the least common multiple of two numbers.",
          "parameters": {
            "type": "object",
            "properties": {
              "num1": {
                "type": "integer",
                "description": "The first number."
              },
              "num2": {
                "type": "integer",
                "description": "The second number."
              }
            },
            "required": [
              "num1",
              "num2"
            ]
          }
        }
      ],
      "expected_function": "math.lcm",
      "expected_arguments": {
        "num1": 18,
        "num2": 12
      },
      "accepted_arguments": {
        "num1": [
          18
        ],
        "num2": [
          12
        ]
      },
      "results": [
        {
          "model": "qwen2.5:1.5b",
          "selected_function": "math.lcm",
          "arguments": {
            "num1": 18,
            "num2": 12
          },
          "function_selection_correct": true,
          "exact_call_passed": true,
          "verification_reason": "exact_function_and_arguments",
          "elapsed_ms": 11165
        },
        {
          "model": "llama3.2:3b",
          "selected_function": "math.lcm",
          "arguments": {
            "num1": "18",
            "num2": "12"
          },
          "function_selection_correct": true,
          "exact_call_passed": false,
          "verification_reason": "arguments_schema_invalid",
          "elapsed_ms": 39941
        }
      ]
    },
    {
      "id": "multiple_11",
      "question": "Calculate the roots of a quadratic equation with coefficients 5, 20, and -25",
      "candidate_functions": [
        {
          "name": "math_roots.quadratic",
          "description": "Calculate the roots of a quadratic equation.",
          "parameters": {
            "type": "object",
            "properties": {
              "a": {
                "type": "integer",
                "description": "Coefficient of the second-degree term."
              },
              "b": {
                "type": "integer",
                "description": "Coefficient of the first-degree term."
              },
              "c": {
                "type": "integer",
                "description": "Constant term."
              }
            },
            "required": [
              "a",
              "b",
              "c"
            ]
          }
        },
        {
          "name": "math.roots.cubic",
          "description": "Calculate the roots of a cubic equation.",
          "parameters": {
            "type": "object",
            "properties": {
              "a": {
                "type": "number",
                "description": "Coefficient of the third-degree term."
              },
              "b": {
                "type": "number",
                "description": "Coefficient of the second-degree term."
              },
              "c": {
                "type": "number",
                "description": "Coefficient of the first-degree term."
              },
              "d": {
                "type": "number",
                "description": "Constant term."
              }
            },
            "required": [
              "a",
              "b",
              "c",
              "d"
            ]
          }
        },
        {
          "name": "math.roots.polynomial",
          "description": "Calculate the roots of a polynomial equation.",
          "parameters": {
            "type": "object",
            "properties": {
              "coefficients": {
                "type": "array",
                "items": {
                  "type": "number"
                },
                "description": "Array of coefficients of the polynomial equation starting from highest degree term."
              },
              "degree": {
                "type": "integer",
                "description": "Degree of the polynomial equation. Default 0"
              }
            },
            "required": [
              "coefficients"
            ]
          }
        }
      ],
      "expected_function": "math_roots.quadratic",
      "expected_arguments": {
        "a": 5,
        "b": 20,
        "c": -25
      },
      "accepted_arguments": {
        "a": [
          5
        ],
        "b": [
          20
        ],
        "c": [
          -25
        ]
      },
      "results": [
        {
          "model": "llama3.2:3b",
          "selected_function": "math_roots.quadratic",
          "arguments": {
            "b": 20,
            "c": -25,
            "a": 5
          },
          "function_selection_correct": true,
          "exact_call_passed": true,
          "verification_reason": "exact_function_and_arguments",
          "elapsed_ms": 23871
        },
        {
          "model": "qwen2.5:1.5b",
          "selected_function": null,
          "arguments": null,
          "function_selection_correct": false,
          "exact_call_passed": false,
          "verification_reason": "expected_exactly_one_tool_call",
          "elapsed_ms": 20402
        }
      ]
    },
    {
      "id": "multiple_84",
      "question": "Give me the top 10 goal scorers in the UEFA Champions League from Barcelona team.",
      "candidate_functions": [
        {
          "name": "getTopGoalScorers",
          "description": "Returns the top goal scorers for a specific competition and team",
          "parameters": {
            "type": "object",
            "properties": {
              "competition": {
                "type": "string",
                "description": "The name of the competition (for example, 'UEFA Champions League')."
              },
              "team": {
                "type": "string",
                "description": "The name of the team (for example, 'Barcelona')."
              },
              "number": {
                "type": "integer",
                "description": "The number of top goal scorers to retrieve."
              }
            },
            "required": [
              "competition",
              "team",
              "number"
            ]
          }
        },
        {
          "name": "getTopAssists",
          "description": "Returns the top assist makers for a specific competition and team",
          "parameters": {
            "type": "object",
            "properties": {
              "competition": {
                "type": "string",
                "description": "The name of the competition (for example, 'UEFA Champions League')."
              },
              "team": {
                "type": "string",
                "description": "The name of the team (for example, 'Barcelona')."
              },
              "number": {
                "type": "integer",
                "description": "The number of top assist makers to retrieve."
              }
            },
            "required": [
              "competition",
              "team",
              "number"
            ]
          }
        }
      ],
      "expected_function": "getTopGoalScorers",
      "expected_arguments": {
        "competition": "UEFA Champions League",
        "team": "Barcelona",
        "number": 10
      },
      "accepted_arguments": {
        "competition": [
          "UEFA Champions League"
        ],
        "team": [
          "Barcelona"
        ],
        "number": [
          10
        ]
      },
      "results": [
        {
          "model": "qwen2.5:1.5b",
          "selected_function": "getTopGoalScorers",
          "arguments": {
            "team": "Barcelona",
            "number": 10,
            "competition": "UEFA Champions League"
          },
          "function_selection_correct": true,
          "exact_call_passed": true,
          "verification_reason": "exact_function_and_arguments",
          "elapsed_ms": 11512
        },
        {
          "model": "llama3.2:3b",
          "selected_function": "getTopGoalScorers",
          "arguments": {
            "number": "10",
            "team": "Barcelona",
            "competition": "UEFA Champions League"
          },
          "function_selection_correct": true,
          "exact_call_passed": false,
          "verification_reason": "arguments_schema_invalid",
          "elapsed_ms": 35536
        }
      ]
    },
    {
      "id": "multiple_187",
      "question": "Check the price of tomatoes and lettuce at the Whole Foods in Los Angeles.",
      "candidate_functions": [
        {
          "name": "geometry.area_circle",
          "description": "Calculate the area of a circle given the radius.",
          "parameters": {
            "type": "object",
            "properties": {
              "radius": {
                "type": "number",
                "description": "The radius of the circle."
              },
              "units": {
                "type": "string",
                "description": "The units in which the radius is measured (defaults to meters)."
              }
            },
            "required": [
              "radius"
            ]
          }
        },
        {
          "name": "find_recipes",
          "description": "Find recipes based on dietary restrictions, meal type, and preferred ingredients.",
          "parameters": {
            "type": "object",
            "properties": {
              "diet": {
                "type": "string",
                "description": "The dietary restrictions, e.g., 'vegan', 'gluten-free'."
              },
              "meal_type": {
                "type": "string",
                "description": "The type of meal, e.g., 'dinner', 'breakfast'."
              },
              "ingredients": {
                "type": "array",
                "items": {
                  "type": "string"
                },
                "description": "The preferred ingredients. If left blank, it will return general recipes. Default is empty array."
              }
            },
            "required": [
              "diet",
              "meal_type"
            ]
          }
        },
        {
          "name": "whole_foods.check_price",
          "description": "Check the price of items at a specific Whole Foods location.",
          "parameters": {
            "type": "object",
            "properties": {
              "location": {
                "type": "string",
                "description": "Location of the Whole Foods store."
              },
              "items": {
                "type": "array",
                "items": {
                  "type": "string"
                },
                "description": "List of items for which the price needs to be checked."
              }
            },
            "required": [
              "location",
              "items"
            ]
          }
        },
        {
          "name": "calculate_shortest_distance",
          "description": "Calculate the shortest driving distance between two locations.",
          "parameters": {
            "type": "object",
            "properties": {
              "start_location": {
                "type": "string",
                "description": "The starting location for the drive."
              },
              "end_location": {
                "type": "string",
                "description": "The destination location for the drive."
              },
              "route_preference": {
                "type": "string",
                "enum": [
                  "Shortest",
                  "Scenic"
                ],
                "description": "The preferred type of route."
              }
            },
            "required": [
              "start_location",
              "end_location",
              "route_preference"
            ]
          }
        }
      ],
      "expected_function": "whole_foods.check_price",
      "expected_arguments": {
        "location": "Los Angeles",
        "items": [
          "tomatoes",
          "lettuce"
        ]
      },
      "accepted_arguments": {
        "location": [
          "Los Angeles",
          "LA"
        ],
        "items": [
          [
            "tomatoes",
            "lettuce"
          ],
          [
            "lettuce",
            "tomatoes"
          ]
        ]
      },
      "results": [
        {
          "model": "llama3.2:3b",
          "selected_function": "whole_foods.check_price",
          "arguments": {
            "location": "Los Angeles",
            "items": "[\"tomatoes\", \"lettuce\"]"
          },
          "function_selection_correct": true,
          "exact_call_passed": false,
          "verification_reason": "arguments_schema_invalid",
          "elapsed_ms": 25079
        },
        {
          "model": "qwen2.5:1.5b",
          "selected_function": "whole_foods.check_price",
          "arguments": {
            "location": "Whole Foods in Los Angeles",
            "items": [
              "tomatoes",
              "lettuce"
            ]
          },
          "function_selection_correct": true,
          "exact_call_passed": false,
          "verification_reason": "argument_mismatch",
          "elapsed_ms": 22941
        }
      ]
    },
    {
      "id": "multiple_30",
      "question": "What is the area of a rectangle with length 12 meters and width 5 meters?",
      "candidate_functions": [
        {
          "name": "rectangle.area",
          "description": "Calculate the area of a rectangle with given length and width",
          "parameters": {
            "type": "object",
            "properties": {
              "length": {
                "type": "integer",
                "description": "Length of the rectangle"
              },
              "width": {
                "type": "integer",
                "description": "Width of the rectangle"
              }
            },
            "required": [
              "length",
              "width"
            ]
          }
        },
        {
          "name": "circle.area",
          "description": "Calculate the area of a circle with given radius",
          "parameters": {
            "type": "object",
            "properties": {
              "radius": {
                "type": "number",
                "description": "Radius of the circle"
              },
              "isDiameter": {
                "type": "boolean",
                "description": "Whether the given length is the diameter of the circle, default is false"
              }
            },
            "required": [
              "radius"
            ]
          }
        },
        {
          "name": "triangle.area",
          "description": "Calculate the area of a triangle with given base and height",
          "parameters": {
            "type": "object",
            "properties": {
              "base": {
                "type": "number",
                "description": "Base of the triangle"
              },
              "height": {
                "type": "number",
                "description": "Height of the triangle"
              }
            },
            "required": [
              "base",
              "height"
            ]
          }
        }
      ],
      "expected_function": "rectangle.area",
      "expected_arguments": {
        "length": 12,
        "width": 5
      },
      "accepted_arguments": {
        "length": [
          12
        ],
        "width": [
          5
        ]
      },
      "results": [
        {
          "model": "qwen2.5:1.5b",
          "selected_function": "rectangle.area",
          "arguments": {
            "length": 12,
            "width": 5
          },
          "function_selection_correct": true,
          "exact_call_passed": true,
          "verification_reason": "exact_function_and_arguments",
          "elapsed_ms": 10808
        },
        {
          "model": "llama3.2:3b",
          "selected_function": "rectangle.area",
          "arguments": {
            "length": "12",
            "width": "5"
          },
          "function_selection_correct": true,
          "exact_call_passed": false,
          "verification_reason": "arguments_schema_invalid",
          "elapsed_ms": 34001
        }
      ]
    },
    {
      "id": "multiple_10",
      "question": "I need to delete some columns from my employees database on personal_data table. I want to remove their email addresses and social security numbers to respect privacy.",
      "candidate_functions": [
        {
          "name": "database.modify_columns",
          "description": "This function allows deletion or addition of columns in a database",
          "parameters": {
            "type": "object",
            "properties": {
              "db_name": {
                "type": "string",
                "description": "The name of the database to modify."
              },
              "table": {
                "type": "string",
                "description": "The name of the table to modify."
              },
              "operation": {
                "type": "string",
                "description": "The operation to carry out on the table. Can be 'delete' or 'add'."
              },
              "columns": {
                "type": "array",
                "description": "List of the columns to add or delete from the table.",
                "items": {
                  "type": "string"
                }
              }
            },
            "required": [
              "db_name",
              "table",
              "operation",
              "columns"
            ]
          }
        },
        {
          "name": "database.create_backup",
          "description": "This function creates a backup of the database before modification",
          "parameters": {
            "type": "object",
            "properties": {
              "db_name": {
                "type": "string",
                "description": "The name of the database to create a backup of."
              },
              "backup_location": {
                "type": "string",
                "description": "The file path where the backup should be stored."
              },
              "timestamp": {
                "type": "boolean",
                "description": "Option to append a timestamp to the backup file name."
              }
            },
            "required": [
              "db_name",
              "backup_location"
            ]
          }
        }
      ],
      "expected_function": "database.modify_columns",
      "expected_arguments": {
        "db_name": "employees",
        "table": "personal_data",
        "operation": "delete",
        "columns": [
          "email",
          "ssn"
        ]
      },
      "accepted_arguments": {
        "db_name": [
          "employees"
        ],
        "table": [
          "personal_data"
        ],
        "operation": [
          "delete"
        ],
        "columns": [
          [
            "email",
            "ssn"
          ],
          [
            "ssn",
            "email"
          ],
          [
            "email",
            "social_security_number"
          ],
          [
            "social_security_number",
            "email"
          ],
          [
            "email",
            "social security number"
          ],
          [
            "social security number",
            "email"
          ]
        ]
      },
      "results": [
        {
          "model": "llama3.2:3b",
          "selected_function": "database.modify_columns",
          "arguments": {
            "db_name": "employees",
            "table": "personal_data",
            "operation": "delete",
            "columns": "['email', 'social_security_number']"
          },
          "function_selection_correct": true,
          "exact_call_passed": false,
          "verification_reason": "arguments_schema_invalid",
          "elapsed_ms": 23762
        },
        {
          "model": "qwen2.5:1.5b",
          "selected_function": "database.modify_columns",
          "arguments": {
            "operation": "delete",
            "columns": [
              "email",
              "ssn"
            ],
            "db_name": "personal_data",
            "table": "employees"
          },
          "function_selection_correct": true,
          "exact_call_passed": false,
          "verification_reason": "argument_mismatch",
          "elapsed_ms": 21070
        }
      ]
    },
    {
      "id": "multiple_192",
      "question": "Convert 150 Euros to Canadian dollars.",
      "candidate_functions": [
        {
          "name": "currency_conversion.convert",
          "description": "Convert a value from one currency to another.",
          "parameters": {
            "type": "object",
            "properties": {
              "amount": {
                "type": "integer",
                "description": "The amount to be converted."
              },
              "from_currency": {
                "type": "string",
                "description": "The currency to convert from."
              },
              "to_currency": {
                "type": "string",
                "description": "The currency to convert to."
              }
            },
            "required": [
              "amount",
              "from_currency",
              "to_currency"
            ]
          }
        },
        {
          "name": "calc_absolute_pressure",
          "description": "Calculates the absolute pressure from gauge and atmospheric pressures.",
          "parameters": {
            "type": "object",
            "properties": {
              "atm_pressure": {
                "type": "number",
                "description": "The atmospheric pressure in atmospheres (atm). Default is 1 atm if not provided."
              },
              "gauge_pressure": {
                "type": "number",
                "description": "The gauge pressure in atmospheres (atm). Must be provided."
              }
            },
            "required": [
              "gauge_pressure"
            ]
          }
        },
        {
          "name": "calculate_displacement",
          "description": "Calculates the displacement of an object in motion given initial velocity, time, and acceleration.",
          "parameters": {
            "type": "object",
            "properties": {
              "initial_velocity": {
                "type": "number",
                "description": "The initial velocity of the object in m/s."
              },
              "time": {
                "type": "number",
                "description": "The time in seconds that the object has been in motion."
              },
              "acceleration": {
                "type": "number",
                "description": "The acceleration of the object in m/s^2."
              }
            },
            "required": [
              "initial_velocity",
              "time"
            ]
          }
        }
      ],
      "expected_function": "currency_conversion.convert",
      "expected_arguments": {
        "amount": 150,
        "from_currency": "EUR",
        "to_currency": "CAD"
      },
      "accepted_arguments": {
        "amount": [
          150
        ],
        "from_currency": [
          "EUR"
        ],
        "to_currency": [
          "CAD"
        ]
      },
      "results": [
        {
          "model": "qwen2.5:1.5b",
          "selected_function": "currency_conversion.convert",
          "arguments": {
            "from_currency": "EUR",
            "to_currency": "CAD",
            "amount": 150
          },
          "function_selection_correct": true,
          "exact_call_passed": true,
          "verification_reason": "exact_function_and_arguments",
          "elapsed_ms": 12795
        },
        {
          "model": "llama3.2:3b",
          "selected_function": "currency_conversion.convert",
          "arguments": {
            "amount": "150",
            "from_currency": "EUR",
            "to_currency": "CAD"
          },
          "function_selection_correct": true,
          "exact_call_passed": false,
          "verification_reason": "arguments_schema_invalid",
          "elapsed_ms": 33902
        }
      ]
    },
    {
      "id": "multiple_138",
      "question": "How to obtain the detailed case information of the R vs Adams legal case?",
      "candidate_functions": [
        {
          "name": "park_information",
          "description": "Retrieve the basic information such as elevation and area of a national park.",
          "parameters": {
            "type": "object",
            "properties": {
              "park_name": {
                "type": "string",
                "description": "The name of the national park."
              },
              "information": {
                "type": "array",
                "items": {
                  "type": "string",
                  "enum": [
                    "Elevation",
                    "Area",
                    "Location",
                    "Established Year"
                  ]
                },
                "description": "The type of information you want about the park."
              }
            },
            "required": [
              "park_name",
              "information"
            ]
          }
        },
        {
          "name": "legal_case.fetch",
          "description": "Fetch detailed legal case information from database.",
          "parameters": {
            "type": "object",
            "properties": {
              "case_id": {
                "type": "string",
                "description": "The ID of the legal case."
              },
              "details": {
                "type": "boolean",
                "description": "True if need the detail info. Default is false."
              }
            },
            "required": [
              "case_id",
              "details"
            ]
          }
        },
        {
          "name": "calculate_stock_return",
          "description": "Calculate the projected return of a stock investment given the investment amount, the annual growth rate and holding period in years.",
          "parameters": {
            "type": "object",
            "properties": {
              "investment_amount": {
                "type": "number",
                "description": "The amount of money to invest."
              },
              "annual_growth_rate": {
                "type": "number",
                "description": "The expected annual growth rate of the stock."
              },
              "holding_period": {
                "type": "integer",
                "description": "The number of years you intend to hold the stock."
              },
              "include_dividends": {
                "type": "boolean",
                "description": "Optional. True if the calculation should take into account potential dividends. Default is false."
              }
            },
            "required": [
              "investment_amount",
              "annual_growth_rate",
              "holding_period"
            ]
          }
        }
      ],
      "expected_function": "legal_case.fetch",
      "expected_arguments": {
        "case_id": "R vs Adams",
        "details": true
      },
      "accepted_arguments": {
        "case_id": [
          "R vs Adams",
          "R_vs_Adams"
        ],
        "details": [
          true
        ]
      },
      "results": [
        {
          "model": "llama3.2:3b",
          "selected_function": "legal_case.fetch",
          "arguments": {
            "case_id": "R vs Adams",
            "details": "true"
          },
          "function_selection_correct": true,
          "exact_call_passed": false,
          "verification_reason": "arguments_schema_invalid",
          "elapsed_ms": 22029
        },
        {
          "model": "qwen2.5:1.5b",
          "selected_function": "legal_case.fetch",
          "arguments": {
            "details": true,
            "case_id": "R vs Adams"
          },
          "function_selection_correct": true,
          "exact_call_passed": true,
          "verification_reason": "exact_function_and_arguments",
          "elapsed_ms": 19925
        }
      ]
    },
    {
      "id": "multiple_1",
      "question": "Calculate the area of a triangle, given the lengths of its three sides: 3, 4, and 5.",
      "candidate_functions": [
        {
          "name": "math.triangle_area_heron",
          "description": "Calculates the area of a triangle using Heron's formula, given the lengths of its three sides.",
          "parameters": {
            "type": "object",
            "properties": {
              "side1": {
                "type": "integer",
                "description": "Length of the first side of the triangle."
              },
              "side2": {
                "type": "integer",
                "description": "Length of the second side of the triangle."
              },
              "side3": {
                "type": "integer",
                "description": "Length of the third side of the triangle."
              }
            },
            "required": [
              "side1",
              "side2",
              "side3"
            ]
          }
        },
        {
          "name": "math.circle_area",
          "description": "Calculates the area of a circle given its radius.",
          "parameters": {
            "type": "object",
            "properties": {
              "radius": {
                "type": "number",
                "description": "The radius of the circle."
              }
            },
            "required": [
              "radius"
            ]
          }
        },
        {
          "name": "math.triangle_area_base_height",
          "description": "Calculates the area of a triangle using the formula (1/2)base*height.",
          "parameters": {
            "type": "object",
            "properties": {
              "base": {
                "type": "number",
                "description": "The base length of the triangle."
              },
              "height": {
                "type": "number",
                "description": "The height of the triangle."
              }
            },
            "required": [
              "base",
              "height"
            ]
          }
        }
      ],
      "expected_function": "math.triangle_area_heron",
      "expected_arguments": {
        "side1": 3,
        "side2": 4,
        "side3": 5
      },
      "accepted_arguments": {
        "side1": [
          3
        ],
        "side2": [
          4
        ],
        "side3": [
          5
        ]
      },
      "results": [
        {
          "model": "qwen2.5:1.5b",
          "selected_function": "math.triangle_area_heron",
          "arguments": {
            "side1": 3,
            "side2": 4,
            "side3": 5
          },
          "function_selection_correct": true,
          "exact_call_passed": true,
          "verification_reason": "exact_function_and_arguments",
          "elapsed_ms": 14182
        },
        {
          "model": "llama3.2:3b",
          "selected_function": "math.triangle_area_heron",
          "arguments": {
            "side2": "4",
            "side3": "5",
            "side1": "3"
          },
          "function_selection_correct": true,
          "exact_call_passed": false,
          "verification_reason": "arguments_schema_invalid",
          "elapsed_ms": 39352
        }
      ]
    },
    {
      "id": "multiple_111",
      "question": "What is the genotype frequency of AA genotype in a population, given that allele frequency of A is 0.3?",
      "candidate_functions": [
        {
          "name": "calculate_genotype_frequency",
          "description": "Calculate the frequency of homozygous dominant genotype based on the allele frequency using Hardy Weinberg Principle.",
          "parameters": {
            "type": "object",
            "properties": {
              "allele_frequency": {
                "type": "number",
                "description": "The frequency of the dominant allele in the population."
              },
              "genotype": {
                "type": "string",
                "description": "The genotype which frequency is needed, default is homozygous dominant. ",
                "enum": [
                  "AA",
                  "Aa",
                  "aa"
                ]
              }
            },
            "required": [
              "allele_frequency",
              "genotype"
            ]
          }
        },
        {
          "name": "math.factorial",
          "description": "Calculate the factorial of a given number.",
          "parameters": {
            "type": "object",
            "properties": {
              "number": {
                "type": "integer",
                "description": "The number for which factorial needs to be calculated."
              }
            },
            "required": [
              "number"
            ]
          }
        },
        {
          "name": "find_flute",
          "description": "Locate a flute for sale based on specific requirements.",
          "parameters": {
            "type": "object",
            "properties": {
              "brand": {
                "type": "string",
                "description": "The brand of the flute. Example, 'Yamaha'"
              },
              "specs": {
                "type": "array",
                "items": {
                  "type": "string",
                  "enum": [
                    "open hole",
                    "C foot",
                    "silver headjoint"
                  ]
                },
                "description": "The specifications of the flute desired."
              }
            },
            "required": [
              "brand",
              "specs"
            ]
          }
        }
      ],
      "expected_function": "calculate_genotype_frequency",
      "expected_arguments": {
        "allele_frequency": 0.3,
        "genotype": "AA"
      },
      "accepted_arguments": {
        "allele_frequency": [
          0.3
        ],
        "genotype": [
          "AA"
        ]
      },
      "results": [
        {
          "model": "llama3.2:3b",
          "selected_function": "calculate_genotype_frequency",
          "arguments": {
            "genotype": "AA",
            "allele_frequency": "0"
          },
          "function_selection_correct": true,
          "exact_call_passed": false,
          "verification_reason": "arguments_schema_invalid",
          "elapsed_ms": 21177
        },
        {
          "model": "qwen2.5:1.5b",
          "selected_function": "calculate_genotype_frequency",
          "arguments": {
            "genotype": "AA",
            "allele_frequency": 0.3
          },
          "function_selection_correct": true,
          "exact_call_passed": true,
          "verification_reason": "exact_function_and_arguments",
          "elapsed_ms": 18591
        }
      ]
    }
  ],
  "interpretation": {
    "public_ranking_eligible": false,
    "production_measurement_index_eligible": false,
    "general_tool_selection_capability_verified": false,
    "customer_utility_verified": false,
    "statement": "On these twelve disjoint public BFCL V4 examples, Qwen selected the expected function in 11/12 calls and passed exact function-plus-argument checks in 8/12. Llama selected the expected function in 12/12 and passed exact checks in 2/12. This small exploratory slice does not support a general model ranking.",
    "limitations": [
      "Public examples may have appeared in model training data.",
      "Twelve cases and one attempt per model-task pair are exploratory, not leaderboard comparable or representative.",
      "No downstream tool is executed; correct tool choice does not establish tool availability or task completion.",
      "Local energy and hardware opportunity cost are unmeasured.",
      "The task sample is selected by a deterministic hash rule from the supported public cases; it is not the official BFCL scoring procedure.",
      "One response per model and task does not estimate repeatability.",
      "Exact argument grading is strict; schema-invalid types and oracle mismatches both fail the complete-call outcome.",
      "No downstream tool was run, so the results do not establish tool availability, returned-data correctness or customer utility.",
      "The extension is separate from the earlier five-task pilot; do not pool the two samples into an official or production score."
    ]
  },
  "semantics": {
    "local_only": true,
    "external_provider_calls": false,
    "provider_spend_usd": 0,
    "tool_execution": false,
    "production_measurement_written": false,
    "production_routing_changed": false,
    "public_ranking": false,
    "authority_changed": false,
    "local_energy_cost_measured": false
  },
  "receipt_sha256": "1009ad7b6206b7fd80a5e7b8d59a4781ac12796d1797c45dc85f2c64668042a3"
}