| { |
| "task": { |
| "id": "case_123", |
| "name": "arccosine", |
| "summary": "Apply arccosine to each element of the input sequence.", |
| "examples": [ |
| { |
| "input": [ |
| "BOS", |
| 0.7, |
| -0.19999999999999996, |
| -0.9, |
| 0.8999999999999999, |
| 0.3999999999999999, |
| -0.4, |
| 0.10000000000000009, |
| -0.30000000000000004, |
| 0.3999999999999999 |
| ], |
| "output": [ |
| "BOS", |
| 0.7953988301841436, |
| 1.7721542475852274, |
| 2.6905658417935308, |
| 0.45102681179626264, |
| 1.1592794807274087, |
| 1.9823131728623846, |
| 1.4706289056333368, |
| 1.8754889808102941, |
| 1.1592794807274087 |
| ] |
| }, |
| { |
| "input": [ |
| "BOS", |
| -0.8, |
| -0.6, |
| 0.8, |
| -0.4, |
| -0.19999999999999996, |
| -0.4, |
| 0.7, |
| -0.7, |
| 0.30000000000000004 |
| ], |
| "output": [ |
| "BOS", |
| 2.498091544796509, |
| 2.214297435588181, |
| 0.6435011087932843, |
| 1.9823131728623846, |
| 1.7721542475852274, |
| 1.9823131728623846, |
| 0.7953988301841436, |
| 2.3461938234056494, |
| 1.266103672779499 |
| ] |
| }, |
| { |
| "input": [ |
| "BOS", |
| -0.4, |
| 0.8999999999999999, |
| 0.3999999999999999, |
| 0.0, |
| -0.30000000000000004, |
| -0.4, |
| 0.8, |
| 0.0, |
| 0.0 |
| ], |
| "output": [ |
| "BOS", |
| 1.9823131728623846, |
| 0.45102681179626264, |
| 1.1592794807274087, |
| 1.5707963267948966, |
| 1.8754889808102941, |
| 1.9823131728623846, |
| 0.6435011087932843, |
| 1.5707963267948966, |
| 1.5707963267948966 |
| ] |
| }, |
| { |
| "input": [ |
| "BOS", |
| -0.7, |
| -0.30000000000000004, |
| -0.8, |
| -0.9, |
| 0.10000000000000009, |
| -0.5, |
| -0.9, |
| -1.0, |
| 0.10000000000000009 |
| ], |
| "output": [ |
| "BOS", |
| 2.3461938234056494, |
| 1.8754889808102941, |
| 2.498091544796509, |
| 2.6905658417935308, |
| 1.4706289056333368, |
| 2.0943951023931957, |
| 2.6905658417935308, |
| 3.141592653589793, |
| 1.4706289056333368 |
| ] |
| }, |
| { |
| "input": [ |
| "BOS", |
| 0.10000000000000009, |
| 0.6000000000000001, |
| -0.09999999999999998, |
| 0.5, |
| 0.3999999999999999, |
| 0.3999999999999999, |
| 0.8, |
| 0.10000000000000009, |
| 0.8999999999999999 |
| ], |
| "output": [ |
| "BOS", |
| 1.4706289056333368, |
| 0.9272952180016121, |
| 1.6709637479564563, |
| 1.0471975511965979, |
| 1.1592794807274087, |
| 1.1592794807274087, |
| 0.6435011087932843, |
| 1.4706289056333368, |
| 0.45102681179626264 |
| ] |
| } |
| ], |
| "is_categorical": true |
| }, |
| "program": "return rasp.Map(lambda x: math.acos(x), rasp.tokens)", |
| "components": [ |
| { |
| "id": "L0_MLP", |
| "hook": "blocks.0.mlp.hook_post", |
| "role": { |
| "tag": "MAPPER", |
| "note": "Applies an arccosine nonlinear transformation to each input element independently." |
| }, |
| "rasp_vars": [ |
| "arccosine" |
| ], |
| "labels": [ |
| "map_1" |
| ] |
| } |
| ] |
| } |
|
|