
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 evaluating the function at several values to determine its behavior. I'll test it at -128, -64, 0, 64, and 128.

COMMAND: PYTHON(./temp7/function.py -128 -64 0 64 128)
user:
Response: Function input - output pairs: (-128, 3558.4) (-64, 1779.2) (0, 0.0) (64, 1779.2) (128, 3558.4) 

assistant:
Based on the input-output pairs, it seems that the function might have a linear behavior, with the output being proportional to the input (and possibly symmetrical around 0). Let's evaluate the function at more data points to determine this kind of behavior more clearly.

COMMAND: PYTHON(./temp7/function.py -96 -48 -32 -16 16 32 48 96)
user:
Response: Function input - output pairs: (-96, 2668.8) (-48, 1334.4) (-32, 889.6) (-16, 444.8) (16, 444.8) (32, 889.6) (48, 1334.4) (96, 2668.8) 

assistant:
The input-output pairs show that the function has linear behavior and is symmetrical around 0. The output of the function is proportional to the input, with the coefficient of proportionality being around 27.8 (444.8 / 16 = 27.8). The domain of the function includes all values between -128 and 128. There doesn't appear to be any unexpected behavior in the provided domain.

[DESCRIPTION]: The function is a linear function with output proportional to the input and is symmetrical around 0.
[DOMAIN]: The domain of the function is [-128, 128]. There is no interval displaying unexpected behavior.
[CODE]: 
```python
def approx_function(x):
    return 27.8 * x
```