
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 sample inputs. 

COMMAND: PYTHON(./temp/function.py "hello" "world" "test" "abc" "123")
user:
Response: Function input - output pairs: (hello, lrggz) (world, wzqgh) (test, xrix) (abc, fts) (123, 123) 

assistant:
Great. Let's try it with some more inputs to understand the function better.

COMMAND: PYTHON(./temp/function.py "!" "@" "#" "$" "%" " " "sample" "Lighthouse" "coffee")
user:
Response: Function input - output pairs: (!, !) (@, @) (#, #) ($, $) (%, %) ( ,  ) (sample, ifcugr) (Lighthouse, goklxlzair) (coffee, szbbrr) 

assistant:
Thank you for the response. I will test the function with some more inputs to gather more information.

COMMAND: PYTHON(./temp/function.py "Python" "Algorithm" "example" "car" "house")
user:
Response: Function input - output pairs: (Python, udxlzn) (Algorithm, fgkzqoxlc) (example, rmfcugr) (car, sfq) (house, lzair) 

assistant:
Based on the results, it seems that the function applies a transformation on each character in the input string, but digits and some special characters seem to remain unchanged. Let's test with more characters.

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

assistant:
[DESCRIPTION]: The function replaces each alphabetical character in the input string with a corresponding character in the alphabet, while keeping the digits and some special characters unchanged. It applies the same transformation to both uppercase and lowercase letters. Specifically, it maps the 'A' to 'f', 'B' to 't', 'C' to 's', and so on, as shown in the response.

[CODE]:
```python
def approximated_function(input_string):
    original_alphabet = "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz"
    transformed_alphabet = "ftshrbklopegcnzujqixaywmdvFTSHRBKLOPEGCNZUJQIXAYWMDV"

    output_string = ""
    for char in input_string:
        if char in original_alphabet:
            index = original_alphabet.index(char)
            output_char = transformed_alphabet[index]
        else:
            output_char = char

        output_string += output_char

    return output_string
```