
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:
Alright, let's start by testing the function on some values.

COMMAND: PYTHON(./temp7/function.py -128 -64 0 64 128)
user:
Response: Function input - output pairs: (-128, 640.0) (-64, 320.0) (0, 0.0) (64, 256.78202886905706) (128, 256.8186924433141) 

assistant:
It seems that the function is almost doubling the input values in the negative range and tends to a constant value when the input values are positive. Let's test more values to understand the function better.

COMMAND: PYTHON(./temp7/function.py -100 -50 -25 25 50 75 100)
user:
Response: Function input - output pairs: (-100, 500.0) (-50, 250.0) (-25, 125.0) (25, 125.0) (50, 256.7457300022645) (75, 256.782388158725) (100, 256.9879803948202) 

assistant:
Based on the given input-output pairs, the function appears to double the input value when it's negative, and approach 256.78 as the input value increases in the positive range. It seems like there is an interval around 0 where the function's behavior changes. Let's further investigate the interval between -10 and 10.

COMMAND: PYTHON(./temp7/function.py -10 -5 -1 0 1 5 10)
user:
Response: Function input - output pairs: (-10, 50.0) (-5, 25.0) (-1, 5.0) (0, 0.0) (1, 5.0) (5, 25.0) (10, 50.0) 

assistant:
Based on this information, we can describe the function as follows:

[DESCRIPTION]: The function doubles the input value when it's negative, offers a mirrored version of this behavior in the positive range up to 50, and approaches a constant value of ~256.78 as the input value increases in the positive range.

[DOMAIN]: The domain of the function is all real numbers. The interval where the function displays mirrored behavior is between -10 and 10. The numeric bounds of that interval are -10 and 10.

[CODE]: 
```python
def approx_function(x):
    if x < -10:
        return -2 * x
    elif -10 <= x <= 10:
        return 5 * abs(x)
    else:
        return 256.78
```