
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 the function with some basic inputs.

COMMAND: PYTHON(./temp/function.py "hello" "world" "test" "123" "example" "a" "1" "abc" "xyz")
user:
Response: Function input - output pairs: (hello, dyxxu) (world, bucxr) (test, nygn) (123, 123) (example, ywiphxy) (a, i) (1, 1) (abc, ijq) (xyz, wvf) 

assistant:
Thank you! Let's test some more inputs to help identify patterns in the function's behavior.

COMMAND: PYTHON(./temp/function.py "python" "interpreter" "function" "abcdefghijklmnopqrstuvwxyz" "999" "&*()_+" "AAA" "bbb" "CCCC" "dd33" "!@#")
user:
Response: Function input - output pairs: (python, hvndus) (interpreter, osnychcynyc) (function, tasqnous) (abcdefghijklmnopqrstuvwxyz, ijqrytedomlxpsuhkcgnazbwvf) (999, 999) (&*()_+, &*()_+) (AAA, iii) (bbb, jjj) (CCCC, qqqq) (dd33, rr33) (!@#, !@#) 

assistant:
The function seems to be performing a translation on alphabetical characters, leaving numerical and special characters unchanged. Let's test some edge cases with upper- and lowercase letters.

COMMAND: PYTHON(./temp/function.py "Z" "z" "Aa" "Bb" "Cc" "Yy" "ZZ" "zz" "aZ" "zA")
user:
Response: Function input - output pairs: (Z, f) (z, f) (Aa, ii) (Bb, jj) (Cc, qq) (Yy, vv) (ZZ, ff) (zz, ff) (aZ, if) (zA, fi) 

assistant:
[DESCRIPTION]: The function translates each input string's alphabetical characters by performing a simple cipher shift for the letters, leaving numerical and special characters unchanged. For each letter in the string, it performs the same shift operation regardless of the case (uppercase or lowercase). The shift seems to be consistent among the same characters from different input strings.

[CODE]:
```python
def approximate_function(input_string):
    shift = {
        'a': 'i', 'b': 'j', 'c': 'q', 'd': 'r', 'e': 't', 'f': 'u', 'g': 'v', 'h': 'w',
        'i': 'x', 'j': 'y', 'k': 'z', 'l': 'a', 'm': 'b', 'n': 'c', 'o': 'd', 'p': 'e',
        'q': 'h', 'r': 'k', 's': 'l', 't': 'm', 'u': 'n', 'v': 'o', 'w': 'p', 'x': 's',
        'y': 'f', 'z': 'g', 'A': 'I', 'B': 'J', 'C': 'Q', 'D': 'R', 'E': 'T', 'F': 'U',
        'G': 'V', 'H': 'W', 'I': 'X', 'J': 'Y', 'K': 'Z', 'L': 'A', 'M': 'B', 'N': 'C',
        'O': 'D', 'P': 'E', 'Q': 'H', 'R': 'K', 'S': 'L', 'T': 'M', 'U': 'N', 'V': 'O',
        'W': 'P', 'X': 'S', 'Y': 'F', 'Z': 'G'
    }

    output = ""
    for char in input_string:
        if char.isalpha():
            output += shift[char]
        else:
            output += char
    return output
```