{ "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" ] } ] }