
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, I will first test the function with different inputs to understand its behavior. 

COMMAND: PYTHON(./temp7/function.py -128 -64 0 64 128)
user:
Response: Function input - output pairs: (-128, 0.014495037025366312) (-64, 0.0292341912932952) (0, -1.7358490566037734) (64, -0.02828158622809714) (128, -0.014256934759026809) 

assistant:
Let me run additional tests on the function to see if I can establish a clear pattern.

COMMAND: PYTHON(./temp7/function.py -100 -50 -25 25 50 100)
user:
Response: Function input - output pairs: (-100, 0.018597129573478876) (-50, 0.03759705762157744) (-25, -0.27703316655454924) (25, -0.07060629316960858) (50, -0.03603603603603603) (100, -0.01820700573916485) 

assistant:
I need to test more values around 0 to better understand the function's behavior in that region.

COMMAND: PYTHON(./temp7/function.py -5 -1 1 5)
user:
Response: Function input - output pairs: (-5, 0.46700507614213194) (-1, -30.666666666666682) (1, -0.8932038834951455) (5, -0.3036303630363036) 

assistant:
Based on the input-output pairs I've observed so far, here's my description of the function, its domain, and an approximation of its code:

[DESCRIPTION]: The function seems to calculate some form of inverse operation, where the output becomes smaller as the input approaches a large negative or positive value. However, it behaves differently around 0, where it returns very large negative values for inputs close to 0, such as -1 and 1.

[DOMAIN]: The domain of the function is all real numbers, but it displays unexpected behavior in the interval between -1 and 1.

[CODE]:
```python
def approximate_function(x):
    if x < -1:
        return 1 / (-x)
    elif x > 1:
        return -1 / x
    else:
        return -30 * x
```

The function I provided above is a simplified approximation of the original function based on my observations and might not cover all details and properties of the original function.