
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 the function on different input values. 

COMMAND: PYTHON(./temp7/function.py -128 -64 0 64 128)
user:
Response: Function input - output pairs: (-128, 6.882052902754006) (-64, 7.016882921759332) (0, 6.9732634450261) (64, 6.868613039264585) (128, -517.9) 

assistant:
Let's try some more input values for the function to better understand its behavior.

COMMAND: PYTHON(./temp7/function.py -100 -50 -25 25 50 100)
user:
Response: Function input - output pairs: (-100, 6.7207550111495875) (-50, 6.927130259343017) (-25, 6.721656039538464) (25, 6.907385802829724) (50, 6.878741513880583) (100, -403.09999999999997) 

assistant:
It looks like the function has a somewhat constant output around 6.9 for input values between -100 and +64, but it displays unexpected behavior for input values greater than or equal to 100 and 128, which results in large negative values.

Let's further test input values close to 64 and between 65 and 100.

COMMAND: PYTHON(./temp7/function.py 60 62 63 65 70 80 90)
user:
Response: Function input - output pairs: (60, 6.924232545512714) (62, 6.834354580848752) (63, 6.949616829335518) (65, 6.685741099704558) (70, 6.680976904021772) (80, 7.092543703039645) (90, -362.09999999999997) 

assistant:
Based on the results, the function has the following properties:

[DESCRIPTION]: The function exhibits a nearly constant output of approximately 6.9 for input values between -100 and 64. However, for input values more significant than 64 (starting from 65), the output varies and has a significant negative value when the input is equal to or greater than 90.

[DOMAIN]: The function behaves differently when the input is in the interval [65, ∞). The numeric bounds of this interval are 65 and infinity. The function exhibits varying behavior, and its output becomes largely negative for x >= 90.

[CODE]: Here is a Python code that approximates the behavior of the given function:

```python
def approx_function(x):
    if x >= 90:
        return -362.1
    elif x > 64:
        return 0.02 * x + 6.7
    else:
        return 6.9

```