
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:
To start, I'll run the function on some input values to understand its behavior.

COMMAND: PYTHON(./temp7/function.py -128 -64 0 64 128)
user:
Response: Function input - output pairs: (-128, 0.001502403846153846) (-64, 0.003004807692307692) (0, None) (64, -0.003004807692307692) (128, -0.001502403846153846) 

assistant:
It looks like there might be some symmetry around the origin, and the output values seem to be getting smaller as the input values increase. Let me try some more input values to get a clearer picture.

COMMAND: PYTHON(./temp7/function.py -32 -16 -8 8 16 32)
user:
Response: Function input - output pairs: (-32, 0.006009615384615384) (-16, 0.012019230769230768) (-8, 0.024038461538461536) (8, -0.024038461538461536) (16, -0.012019230769230768) (32, -0.006009615384615384) 

assistant:
Based on the input-output pairs, it seems that the function behaves like a reciprocal function, but with some adjustments (like a reflection around the origin). To better understand the function's behavior, let's test a few more points for more precision.

COMMAND: PYTHON(./temp7/function.py -4 -2 -1 1 2 4)
user:
Response: Function input - output pairs: (-4, 0.04807692307692307) (-2, 0.09615384615384615) (-1, 0.1923076923076923) (1, -0.1923076923076923) (2, -0.09615384615384615) (4, -0.04807692307692307) 

assistant:
Based on the responses, the function appears to have a reciprocal relationship while also being mirrored across the y-axis. The output values tend to get smaller as the input values get further from the origin. At 0, the function is not defined, resulting in a None output. Here's the description of the function:

[DESCRIPTION]: The function f(x) is a symmetric, reciprocal function that mirrors across the y-axis. As input values go further from the origin, output values decrease. The function is not defined at x = 0.

[DOMAIN]: The domain of the function is all real numbers except x = 0. The function is not defined at x = 0.

[CODE]:
```python
def approx_function(x):
    if x == 0:
        return None
    else:
        return (-1 if x > 0 else 1) * (1 / abs(x))
```

Keep in mind this is an approximation, and the actual function implemented in ./temp7/function.py might have some slight differences or additional terms.