
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 running some experiments to understand the behavior of f(x).

COMMAND: PYTHON(./temp7/function.py -128 -64 0 64 128)
user:
Response: Function input - output pairs: (-128, 0.0008877840909090909) (-64, 0.0017755681818181818) (0, -inf) (64, -0.0017755681818181818) (128, -0.0008877840909090909) 
Error occurred, please try again (some of the input values might be undefined)
assistant:
It looks like the function output is not defined for 0. Let's try some more inputs to gain further insights.

COMMAND: PYTHON(./temp7/function.py -20 -10 -5 5 10 20)
user:
Response: Function input - output pairs: (-20, 0.005681818181818182) (-10, 0.011363636363636364) (-5, 0.022727272727272728) (5, -0.022727272727272728) (10, 0.10190181660752662) (20, -0.0865940504944771) 

assistant:
It seems that the function has different behavior for positive and negative inputs. Let's test a few more values to see if there is any pattern.

COMMAND: PYTHON(./temp7/function.py -15 -3 3 15)
user:
Response: Function input - output pairs: (-15, 0.007575757575757576) (-3, 0.03787878787878787) (3, -0.03787878787878787) (15, -0.09915982296990747) 

assistant:
Based on the observations, f(x) appears to behave differently for positive and negative inputs. Here's a possible approximation of the function:

[DESCRIPTION]: f(x) seems to be an odd function (i.e., f(-x) = -f(x)). For negative input values, it gets close to zero, and for positive input values, it oscillates with increasing magnitude.

[DOMAIN]: The function is defined for all x ≠ 0. There is an unexpected behavior at x = 0, where the output is undefined, likely due to a division by zero.

[CODE]:
```python
def approx_f(x):
    if x == 0:
        raise ValueError("Function not defined for x = 0")
    else:
        return -1 * (1 / x) if x > 0 else 1 / x
```