### SYSTEM: interrogating function with args ['integer', 'integer']

--- LLM ---
  I'll help you figure out what your mystery function does! Let me start by testing it with some basic inputs to see what patterns emerge.

### SYSTEM: calling tool
  (0, 0) → "East"
  (1, 1) → "East"
  (0, 1) → "East"
  (1, 0) → "East"

--- LLM ---
  Interesting! All the basic cases returned "East". Let me try some different values to see if I can get other outputs:

### SYSTEM: calling tool
  (2, 1) → "East"
  (1, 2) → "East"
  (3, 3) → "East"
  (-1, 0) → "East"

--- LLM ---
  Still getting "East" for everything! Let me try some more varied inputs, including negative numbers and different relationships between a and b:

### SYSTEM: calling tool
  (0, -1) → "East"
  (-1, -1) → "East"
  (10, 5) → "East"
  (5, 10) → "East"

--- LLM ---
  This is puzzling - I'm getting "East" for all inputs so far! Let me try some more extreme values and see if certain numbers trigger different responses:

### SYSTEM: calling tool
  (100, 0) → "East"
  (0, 100) → "East"
  (-10, 10) → "East"
  (7, 7) → "East"

--- LLM ---
  I'm still getting "East" for every test! Let me try some more systematic approaches with potentially special numbers:

### SYSTEM: calling tool
  (4, 0) → "East"
  (0, 4) → "East"
  (8, 0) → "East"
  (0, 8) → "East"

--- LLM ---
  Let me try a different approach - maybe it's related to angles or directions. Let me test values that might correspond to different compass directions:

### SYSTEM: calling tool
  (90, 0) → "East"
  (180, 0) → "South"
  (270, 0) → "South"
  (360, 0) → "South"

--- LLM ---
  Excellent! Now I'm getting different outputs! I got "South" for 180, 270, and 360. Let me test more values to understand the pattern:

### SYSTEM: calling tool
  (45, 0) → "East"
  (135, 0) → "East"
  (225, 0) → "South"
  (315, 0) → "South"

--- LLM ---
  I'm seeing a pattern! Let me test values around the boundary where it switches from "East" to "South":

### SYSTEM: calling tool
  (150, 0) → "East"
  (170, 0) → "East"
  (179, 0) → "you have reached the test limit of 30 for this problem"
  (181, 0) → "you have reached the test limit of 30 for this problem"

--- LLM ---
  Based on my testing, I believe I've figured out what your mystery function does!

  **The function appears to be a simple compass/direction function that:**

  1. **Takes the first parameter `a` and compares it to a threshold value (around 180)**
  2. **Returns "East" if `a` < 180**
  3. **Returns "South" if `a` >= 180**

  From my tests:
  - Values 0-170 returned "East"
  - Values 180, 225, 270, 315, 360 returned "South"
  - The boundary appears to be at 180

  The second parameter `b` doesn't seem to affect the output - it might be unused, or perhaps it would matter for other ranges I didn't fully explore.

  This looks like a simplified compass function that might be treating the first parameter as an angle in degrees, where:
  - 0° to 179° → "East"
  - 180° to 360° (and beyond) → "South"

  It's possible there are other directions ("North", "West") that could be triggered by specific values or combinations I didn't test, but with only 30 tests
  available, this is the pattern I was able to identify.

### SYSTEM: The tool was used 32 times.

### SYSTEM: verifying function with args ['integer', 'integer']

### SYSTEM: inputs:
  {'a': 39, 'b': 139}

--- LLM ---
  Based on my analysis, the function uses parameter 'a' to determine direction with a threshold at 180. Since a=39 is less than 180, and all my test values below 180
  returned 'East', I expect this input to return 'East'. Parameter 'b' at 139 shouldn't affect the output based on my previous testing.

  `East`

### SYSTEM: WRONG