
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:
To begin, I'll test the given function with a single string input. After seeing the output, I will adjust my input for further testing to understand the function's behavior.

COMMAND: PYTHON(./temp/function.py "test")
user:
Response: Function input - output pairs: (test, alza) 

assistant:
Let's test the function with some more input strings.

COMMAND: PYTHON(./temp/function.py "hello" "world" "function" "input")
user:
Response: Function input - output pairs: (hello, olssv) (world, dvysk) (function, mbujapvu) (input, puwba) 

assistant:
Now I'll test the function with an empty string and a string containing only numbers.

COMMAND: PYTHON(./temp/function.py "" "12345")
user:
Response: Function input - output pairs: (, ) (12345, ) 

assistant:
Let's try using the function with a range of characters, including uppercase letters, lowercase letters, and symbols.

COMMAND: PYTHON(./temp/function.py "AbC!@#dEf" "PQRST")
user:
Response: Function input - output pairs: (AbC!@#dEf, HiJ!@#kLm) (PQRST, WXYZA) 

assistant:
[DESCRIPTION]: The function seems to increment each alphabetical character in the input string by 2 positions in the alphabet, wrapping around when it reaches the end of the alphabet (for both upper and lowercase letters). It leaves numbers and symbols unchanged. If the input string contains only numbers or is empty, the output is an empty string.

[CODE]:
```python
def approximate_function(input_string):
    output_string = ""
    for char in input_string:
        if char.isalpha():
            shift = 2
            if char.isupper():
                output_string += chr((ord(char) - ord('A') + shift) % 26 + ord('A'))
            else:
                output_string += chr((ord(char) - ord('a') + shift) % 26 + ord('a'))
        else:
            output_string += char
    return output_string
```