
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 start by calling the function on some inputs to understand its behavior. 

COMMAND: PYTHON(./temp7/function.py -128 -64 0 64 128)
user:
Response: Function input - output pairs: (-128, 0.0) (-64, 3.769153275096789e-228) (0, 1.0185273403625574e-27) (64, 6.1299562573425345e-25) (128, 8.216707955493171e-220) 

assistant:
I will now test the function with more inputs to better understand its behavior.

COMMAND: PYTHON(./temp7/function.py -100 -50 -25 25 50 100)
user:
Response: Function input - output pairs: (-100, 0.0) (-50, 2.041335300056591e-167) (-25, 1.7322598082240607e-82) (25, 0.004149476720668073) (50, 1.1713183649401447e-08) (100, 3.104710637413732e-110) 

assistant:
Let's further investigate the behavior of the function by running some more tests on its input values.

COMMAND: PYTHON(./temp7/function.py -10 -5 5 10)
user:
Response: Function input - output pairs: (-10, 5.240219862019181e-46) (-5, 2.929866826698597e-36) (5, 2.2015266202464678e-20) (10, 2.958704759013633e-14) 

assistant:
I've gathered enough information to describe the function's behavior.

[DESCRIPTION]: The function appears to return values that are increasing in magnitude as we approach 0 from both negative and positive sides. The function's output seems to be very small negative exponents for most input values but increases rapidly when x gets closer to 0.

[DOMAIN]: The domain of the function is all numeric values between [-128, 128]. There is an interval around 0, specifically between [-25, 25], where the function displays unexpected behavior. The numeric bounds of this interval are -25 and 25. The function's output increases rapidly within this interval.

[CODE]:
```python
def approximate_function(x):
    if -25 <= x <= 25:
        return 2.2e-20 * (x ** 2)
    else:
        return 3e-36 * (x ** 4)
```
Keep in mind that this approximation might not be perfect, but it tries to capture the observed behavior of the given function within the tested input range.