| { |
| "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" |
| ] |
| } |
| ] |
| } |
|
|