
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 me run a few experiments to understand the behavior of the function.

COMMAND: PYTHON(./temp7/function.py -128 -64 0 64 128)
user:
Response: Function input - output pairs: (-128, -254.1) (-64, -126.1) (0, 1.9) (64, 129.9) (128, 257.9) 

assistant:
Thank you for the response. Let me try a few more values in between to see if there is anything unexpected.

COMMAND: PYTHON(./temp7/function.py -96 -32 32 96)
user:
Response: Function input - output pairs: (-96, -190.1) (-32, -62.1) (32, 65.9) (96, 193.9) 

assistant:
Based on the experiments, the function seems to have a linear behavior. Let's test it on some more inputs to be sure.

COMMAND: PYTHON(./temp7/function.py -100 0 50 100 150)
user:
Response: Function input - output pairs: (-100, -198.1) (0, 1.9) (50, 101.9) (100, 201.9) (150, 301.9) 

assistant:
Based on the inputs and outputs, I can now provide a description of the function.

[DESCRIPTION]: The function f(x) is linear and appears to double the input value and then subtract 1.1 from the result.

[DOMAIN]: The function has a domain of (-128, 128). There doesn't appear to be any unexpected behavior within this interval.

[CODE]: Here's the Python code that approximates the behavior of the function:

```python
def approximate_function(x):
    return 2 * x - 1.1
```