
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:
To begin my analysis, I will run the function with inputs 0, 1, and -1.

COMMAND: PYTHON(./temp7/function.py 0 1 -1)
user:
Response: Function input - output pairs: (0, 0.0) (1, -14.0) (-1, -13.3) 

assistant:
Let's try more values, both negative and positive, including some fractions to better understand the function's behavior.

COMMAND: PYTHON(./temp7/function.py -5 -2.5 2.5 5 10 20 30 40 50 60 -20 -40 -60 -80 -100)
user:
Response: Function input - output pairs: (-5, -192.5) (-2.5, -45.5) (2.5, -136.5) (5, -490.0) (10, -2030.0) (20, -8260.0) (30, -18690.0) (40, -33320.0) (50, -52150.0) (60, -75180.0) (-20, -2660.0) (-40, -10360.0) (-60, -23100.0) (-80, -40880.0) (-100, -63700.0) 

assistant:
The function seems to have a quadratic behavior. Let's try some more values to confirm this before describing the function.

COMMAND: PYTHON(./temp7/function.py -0.5 0.5 1.5 3 -3 -3.5 3.5)
user:
Response: Function input - output pairs: (-0.5, -0.0) (0.5, -3.5) (1.5, -49.0) (3, -168.0) (-3, -77.69999999999999) (-3.5, -87.15) (3.5, -266.0) 

assistant:
[DESCRIPTION]: The function appears to be a quadratic function with a negative factor causing it to open downwards. It seems to have some noise at specific points, but the overall behavior is quadratic.

[DOMAIN]: The domain of the function is between -128 and 128. The function behaves as expected for a quadratic function throughout the domain, except for some noise in the output values.

[CODE]:
```python
def approx_function(x):
    # Quadratic factor for a rough approximation
    a = -13.5
    return a * x**2
```