
user:
Hi, your job is to interpret a function f(x) that is implemented in the ./temp7/function.py script. f(x) takes numerical inputs.
All you can do is call f(x) on a value of x by running PYTHON(./temp7/function.py value). 
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(./temp7/function.py value1 value2 value3 ...). 
You can run the function multiple times on the same input. We encourage testing a large range of values before writing a description. You can test values between [-128 and 128]. 
The output could be noisy and your 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.
There may be an interval inside the domain where the function behaves differently. If that is the case, describe that interval.
Your description of the function should have three parts. 
First, [DESCRIPTION]: Describe what the function is doing in language. 
[DOMAIN]: What is the domain of the function? Is there an interval where the function displays unexpected behavior? What are the numeric bounds of that interval? What is going on there?
[CODE]: Write python code that approximates the behavior of the function. 
assistant:
Let's start by testing the function with some input values. 

COMMAND: PYTHON(./temp7/function.py -100 -50 0 50 100)
user:
Response: Function input - output pairs: (-100, -0.05) (-50, -0.1) (0, inf) (50, 0.1) (100, 0.05) 
Error occurred, please try again (some of the input values might be undefined)
assistant:
It seems that there's an error with the input value 0. Let's try some more values, excluding 0.

COMMAND: PYTHON(./temp7/function.py -100 -80 -60 -40 -20 20 40 60 80 100)
user:
Response: Function input - output pairs: (-100, -0.05) (-80, -0.0625) (-60, -0.08333333333333333) (-40, -0.125) (-20, -0.25) (20, 0.25) (40, 0.125) (60, 0.08333333333333333) (80, 0.0625) (100, 0.05) 

assistant:
The function appears to be performing some sort of division operation based on the input. To get a better understanding, let's try more input values.

COMMAND: PYTHON(./temp7/function.py -120 -90 -30 -15 15 30 90 120)
user:
Response: Function input - output pairs: (-120, -0.041666666666666664) (-90, -0.05555555555555555) (-30, -0.16666666666666666) (-15, -0.3333333333333333) (15, 0.3333333333333333) (30, 0.16666666666666666) (90, 0.05555555555555555) (120, 0.041666666666666664) 

assistant:
Based on the given input-output pairs, it looks like the function is performing division (1/x) where the output is the reciprocal of the input.

[DESCRIPTION]: The function calculates the reciprocal of the input (1/x).

[DOMAIN]: The domain of the function is all real numbers, except 0 (x ≠ 0). At x = 0, the function results in an error (undefined value) due to division by zero.

[CODE]:
```python
def approximate_function(x):
    if x == 0:
        raise ValueError("Division by zero.")
    return 1 / x
```

Keep in mind that this is an approximation, and the actual code may vary slightly.