{
  "task": {
    "id": "case_114",
    "name": "logarithm_base10",
    "summary": "Apply a logarithm base 10 to each element of the input sequence.",
    "examples": [
      {
        "input": [
          "BOS",
          7,
          4,
          8,
          5,
          7,
          10,
          3,
          7,
          8
        ],
        "output": [
          "BOS",
          0.8450980400142567,
          0.6020599913279623,
          0.9030899869919434,
          0.6989700043360187,
          0.8450980400142567,
          1.0,
          0.47712125471966244,
          0.8450980400142567,
          0.9030899869919434
        ]
      },
      {
        "input": [
          "BOS",
          3,
          7,
          4,
          9,
          3,
          5,
          3,
          7,
          5
        ],
        "output": [
          "BOS",
          0.47712125471966244,
          0.8450980400142567,
          0.6020599913279623,
          0.9542425094393249,
          0.47712125471966244,
          0.6989700043360187,
          0.47712125471966244,
          0.8450980400142567,
          0.6989700043360187
        ]
      },
      {
        "input": [
          "BOS",
          6,
          2,
          5,
          1,
          10,
          6,
          9,
          1,
          10
        ],
        "output": [
          "BOS",
          0.7781512503836435,
          0.30102999566398114,
          0.6989700043360187,
          0.0,
          1.0,
          0.7781512503836435,
          0.9542425094393249,
          0.0,
          1.0
        ]
      },
      {
        "input": [
          "BOS",
          5,
          4,
          8,
          8,
          3,
          6,
          5,
          2,
          8
        ],
        "output": [
          "BOS",
          0.6989700043360187,
          0.6020599913279623,
          0.9030899869919434,
          0.9030899869919434,
          0.47712125471966244,
          0.7781512503836435,
          0.6989700043360187,
          0.30102999566398114,
          0.9030899869919434
        ]
      },
      {
        "input": [
          "BOS",
          9,
          7,
          2,
          4,
          9,
          2,
          10,
          9,
          10
        ],
        "output": [
          "BOS",
          0.9542425094393249,
          0.8450980400142567,
          0.30102999566398114,
          0.6020599913279623,
          0.9542425094393249,
          0.30102999566398114,
          1.0,
          0.9542425094393249,
          1.0
        ]
      }
    ],
    "is_categorical": true
  },
  "program": "def apply_log(element):\n    return math.log(element, 10)\n\nlogarithm = rasp.Map(apply_log, rasp.tokens).named(\"logarithm\")\nreturn logarithm",
  "components": [
    {
      "id": "L0_MLP",
      "hook": "blocks.0.mlp.hook_post",
      "role": {
        "tag": "MAPPER",
        "note": "Applies a base-10 logarithm to each element independently."
      },
      "rasp_vars": [
        "logarithm"
      ],
      "labels": [
        "logarithm_1"
      ]
    }
  ]
}