
user:
Hi, your job is to interpret a function f(x) that is implemented in the ./temp/function.py script. f(x) takes string inputs.
All you can do is call f(x) on an input string by running PYTHON(./temp/function.py string). 
Try to describe the function implemented by f(x) by running experiments on it. 
You can call the function on multiple inputs at a time by running PYTHON(./temp/function.py string1 string2 string3 ...). 
We encourage testing a large range of inputs before writing a description.
The goal is to find a good simple description of f(x) that explains most of the function behavior. f(x) may combine multiple different operations.
Your description of the function should be in the following form.
[DESCRIPTION]: Describe what the function is doing in language. 
[CODE]: Write python code that approximates the behavior of the function. 
assistant:
Alright, let's start by testing f(x) on some inputs.

COMMAND: PYTHON(./temp/function.py "a" "ab" "abc" "test" "hello" "world")
user:
Response: Function input - output pairs: (a, l) (ab, lj) (abc, ljd) (test, xpbx) (hello, zpnna) (world, iahnu) 

assistant:
Interesting, let's test some more inputs to better understand the function.

COMMAND: PYTHON(./temp/function.py "A" "AB" "ABC" "123" "!@#" " ")
user:
Response: Function input - output pairs: (A, l) (AB, lj) (ABC, ljd) (123, 123) (!@#, !@#) ( ,  ) 

assistant:
It seems that the function is doing some kind of transformation on the characters in the input string, and it has no effect on numbers or special characters. Let's test with some more inputs.

COMMAND: PYTHON(./temp/function.py "alphabet" "ABCDEFGHIJKLMNOPQRSTUVWXYZ" "abcdefghijklmnopqrstuvwxyz")
user:
Response: Function input - output pairs: (alphabet, lnfzljpx) (ABCDEFGHIJKLMNOPQRSTUVWXYZ, ljdupsqzvmtnogafrhbxeyikwc) (abcdefghijklmnopqrstuvwxyz, ljdupsqzvmtnogafrhbxeyikwc) 

assistant:
The function appears to rotate the characters in the input string by a fixed amount. From the provided outputs, it seems to rotate each character by 11 positions forward in the alphabet (wrapping around at 'z' or 'Z').

[DESCRIPTION]: The function takes an input string and shifts the alphabetical characters by 11 positions forward in the alphabet, wrapping around at 'z' or 'Z'. It leaves non-alphabetical characters unchanged.

[CODE]: 
```python
def f_approx(x: str) -> str:
    result = []
    for char in x:
        if 'a' <= char <= 'z':
            result.append(chr(((ord(char) - ord('a') + 11) % 26) + ord('a')))
        elif 'A' <= char <= 'Z':
            result.append(chr(((ord(char) - ord('A') + 11) % 26) + ord('A')))
        else:
            result.append(char)
    return ''.join(result)
```

Let's confirm our understanding of the function with a few more test inputs.

COMMAND: PYTHON(./temp/function.py "Caesar" "coding" "ROT13" "shift_cipher")