{
  "task": {
    "id": "case_4",
    "name": "pair_balance",
    "summary": "Return fraction of previous open tokens minus the fraction of close tokens.",
    "examples": [
      {
        "input": [
          "BOS",
          "(",
          "b",
          ")",
          "c",
          "b",
          "(",
          "(",
          "a",
          "a"
        ],
        "output": [
          "BOS",
          1.0,
          0.5,
          0.0,
          0.0,
          0.0,
          0.16666666666666666,
          0.2857142857142857,
          0.25,
          0.2222222222222222
        ]
      },
      {
        "input": [
          "BOS",
          ")",
          "b",
          "b",
          "a",
          "b",
          "b",
          "(",
          "a",
          "c"
        ],
        "output": [
          "BOS",
          -1.0,
          -0.5,
          -0.3333333333333333,
          -0.25,
          -0.2,
          -0.16666666666666666,
          0.0,
          0.0,
          0.0
        ]
      },
      {
        "input": [
          "BOS",
          "a",
          "c",
          "(",
          ")",
          "b",
          "(",
          "b",
          ")",
          ")"
        ],
        "output": [
          "BOS",
          0.0,
          0.0,
          0.3333333333333333,
          0.0,
          0.0,
          0.16666666666666666,
          0.14285714285714285,
          0.0,
          -0.1111111111111111
        ]
      },
      {
        "input": [
          "BOS",
          "c",
          "b",
          "a",
          "c",
          ")",
          "b",
          ")",
          "b",
          "c"
        ],
        "output": [
          "BOS",
          0.0,
          0.0,
          0.0,
          0.0,
          -0.2,
          -0.16666666666666666,
          -0.2857142857142857,
          -0.25,
          -0.2222222222222222
        ]
      },
      {
        "input": [
          "BOS",
          "b",
          "c",
          "a",
          "c",
          "c",
          ")",
          "a",
          "a",
          "a"
        ],
        "output": [
          "BOS",
          0.0,
          0.0,
          0.0,
          0.0,
          0.0,
          -0.16666666666666666,
          -0.14285714285714285,
          -0.125,
          -0.1111111111111111
        ]
      }
    ],
    "is_categorical": false
  },
  "program": "bools_open = rasp.numerical(sop == open_token).named(\"bools_open\"); opens = rasp.numerical(make_frac_prevs(bools_open)).named(\"opens\"); bools_close = rasp.numerical(sop == close_token).named(\"bools_close\"); closes = rasp.numerical(make_frac_prevs(bools_close)).named(\"closes\");    pair_balance = rasp.numerical(rasp.LinearSequenceMap(opens, closes, 1, -1)); return pair_balance.named(\"pair_balance\")",
  "components": [
    {
      "id": "L0_MLP",
      "hook": "blocks.0.mlp.hook_post",
      "role": {
        "tag": "INDICATOR",
        "note": "Computes per-token indicator features for open and close tokens."
      },
      "rasp_vars": [
        "bools_open",
        "bools_close"
      ]
    },
    {
      "id": "L1H0_ATTN",
      "hook": "blocks.1.attn.hook_result[0]",
      "role": {
        "tag": "AGGREGATOR",
        "note": "Computes prefix aggregate for opens (fraction/count up to i) by attending over previous positions and reading the open-indicator via values."
      },
      "rasp_vars": [
        "opens"
      ]
    },
    {
      "id": "L1H1_ATTN",
      "hook": "blocks.1.attn.hook_result[1]",
      "role": {
        "tag": "AGGREGATOR",
        "note": "Computes prefix aggregate for closes (fraction/count up to i) by attending over previous positions and reading the close-indicator via values."
      },
      "rasp_vars": [
        "closes"
      ]
    },
    {
      "id": "L1_MLP",
      "hook": "blocks.1.mlp.hook_post",
      "role": {
        "tag": "COMBINER",
        "note": "Combines the open and close aggregates to compute the final balanced pair output."
      },
      "rasp_vars": [
        "pair_balance"
      ]
    }
  ]
}