{
  "task": {
    "id": "case_52",
    "name": "square_root",
    "summary": "Apply square root to each token/value independently.",
    "examples": [
      {
        "input": [
          "BOS",
          2,
          4,
          2,
          6,
          4,
          8,
          6,
          1,
          3
        ],
        "output": [
          "BOS",
          1.4142135623730951,
          2.0,
          1.4142135623730951,
          2.449489742783178,
          2.0,
          2.8284271247461903,
          2.449489742783178,
          1.0,
          1.7320508075688772
        ]
      },
      {
        "input": [
          "BOS",
          4,
          1,
          7,
          5,
          1,
          4,
          0,
          9,
          5
        ],
        "output": [
          "BOS",
          2.0,
          1.0,
          2.6457513110645907,
          2.23606797749979,
          1.0,
          2.0,
          0.0,
          3.0,
          2.23606797749979
        ]
      },
      {
        "input": [
          "BOS",
          10,
          10,
          7,
          4,
          3,
          7,
          7,
          2,
          5
        ],
        "output": [
          "BOS",
          3.1622776601683795,
          3.1622776601683795,
          2.6457513110645907,
          2.0,
          1.7320508075688772,
          2.6457513110645907,
          2.6457513110645907,
          1.4142135623730951,
          2.23606797749979
        ]
      },
      {
        "input": [
          "BOS",
          8,
          0,
          10,
          10,
          9,
          2,
          6,
          3,
          8
        ],
        "output": [
          "BOS",
          2.8284271247461903,
          0.0,
          3.1622776601683795,
          3.1622776601683795,
          3.0,
          1.4142135623730951,
          2.449489742783178,
          1.7320508075688772,
          2.8284271247461903
        ]
      },
      {
        "input": [
          "BOS",
          6,
          3,
          10,
          7,
          4,
          6,
          9,
          2,
          6
        ],
        "output": [
          "BOS",
          2.449489742783178,
          1.7320508075688772,
          3.1622776601683795,
          2.6457513110645907,
          2.0,
          2.449489742783178,
          3.0,
          1.4142135623730951,
          2.449489742783178
        ]
      }
    ],
    "is_categorical": true
  },
  "program": "return rasp.Map(lambda x: x ** 0.5, rasp.tokens).named(\"square_root\")",
  "components": [
    {
      "id": "L0_MLP",
      "hook": "blocks.0.mlp.hook_post",
      "role": {
        "tag": "MAPPER",
        "note": "Applies a per-position numeric map by computing the square root for each element."
      },
      "rasp_vars": [
        "square_root"
      ],
      "labels": [
        "square_root_1"
      ]
    }
  ]
}