Automated MNLP evaluation report (2026-06-11)

EVAL_REPORT.md

@@ -0,0 +1,115 @@
+# Automated MNLP evaluation report
+
+- **Model repo:** [`cs-552-2026-momy/math_model`](https://huggingface.co/cs-552-2026-momy/math_model)
+- **Owner(s):** group **momy**
+- **Generated at:** 2026-06-11T06:23:10+00:00 (UTC)
+- **Pipeline:** [mnlp-project-ci](https://github.com/eric11eca/mnlp-project-ci)
+
+_This PR is opened automatically by the course CI. It is **non-blocking** — you do not need to merge it. The next nightly run will refresh this file._
+
+## Evaluated checkpoint
+
+- **Commit:** [`c2f0884`](https://huggingface.co/cs-552-2026-momy/math_model/commit/c2f088438104be4b9b57a49e32f652bc36f365be)
+- **Message:** Upload folder using huggingface_hub
+- **Committed:** 2026-06-09T21:50:51+00:00
+
+## Summary
+
+| Benchmark | Accuracy | Status |
+|---|---:|---|
+| Math | 0.4100 | ok |
+| Knowledge | — | not run |
+| Multilingual | — | not run |
+| Safety | — | not run |
+
+## Sample completions
+
+_Prompts are intentionally omitted to avoid revealing benchmark contents. For multi-completion problems, only one completion is shown per sample._
+
+### Math
+
+**Correct** (1 shown)
+
+- **reference**: `(3,2,5)`
+- **overall** (6/8 completions correct)
+- **extracted** (✓): `(3, 2, 5)`
+- **completion**:
+
+    ```text
+    Okay, let me try to figure out this problem. So, we need to find all ordered triples (p, m, n) where p is a prime greater than 2, and m and n are positive integers with m ≤ n. The conditions are that both m^{p-1} + n and n^{p-1} + m are powers of p. Hmm, interesting.
+    
+    First, let me recall some properties of primes and exponents. Since p is prime and greater than 2, p is an odd prime. Let me note t
+    
+    ... [truncated 823 chars] ...
+    
+    m = 2\):**
+       - For \(m = 2\), we have:
+         \[
+         2^2 + n = 3^k \implies 4 + n = 3^k \implies n = 3^k - 4
+         \]
+       - We need \(n\) to be a positive integer. Let's test \(k = 3\):
+         \[
+         n = 3^3 - 4 = 27 - 4 = 23
+         \]
+       - Check the second equation:
+         \[
+         n^2 + m = 23^2 + 2 = 529 + 2 = 531
+         \]
+         531 is not a power of 3.
+    
+    4. **Testing \(m = 1\):**
+       - For \(m = 1\), we have:
+         \[
+         1 + n = 3^k \implies n = 3^k - 1
+         \]
+       - We need \(n\) to be a positive integer. Let's test \(k = 2\):
+         \[
+         n = 3^2 - 1 = 8
+         \]
+       - Check the second equation:
+         \[
+         n^2 + m = 8^2 + 1 = 64 + 1 = 65
+         \]
+         65 is not a power of 3.
+    
+    5. **Testing \(m = 2\) and \(n = 5\):**
+       - For \(m = 2\) and \(n = 5\), we have:
+         \[
+         2^2 + 5 = 4 + 5 = 9 = 3^2
+         \]
+         \[
+         5^2 + 2 = 25 + 2 = 27 = 3^3
+         \]
+       - Both are powers of 3, and \(m = 2 \le n = 5\).
+    
+    6. **Verification for Other Primes:**
+       - For other primes such as \(p = 5\), \(p = 7\), etc., similar checks show that no other pairs \((m, n)\) satisfy the conditions.
+    
+    ### Conclusion:
+    The only ordered triple \((p, m, n)\) that satisfies the given conditions is:
+    
+    \[
+    \boxed{(3, 2, 5)}
+    \]
+    ```
+
+**Incorrect** (1 shown)
+
+- **reference**: `756`
+- **overall** (0/8 completions correct)
+- **extracted** (✗): `<no answer>`
+- **completion**:
+
+    ```text
+    Okay, so I need to solve this geometry problem involving three spherical balloons with radii 11, 13, and 19. Each pair is externally tangent, and a plane cuts them into three congruent circular cross-sections. The centers of the balloons lie on one side of the plane, and we're given that XY² = 560. We need to find XZ².
+    
+    First, let me visualize the problem. Three spheres with radii r1, r2, r3 are e
+    
+    ... [truncated 822 chars] ...
+    
+    gruent. Therefore, the problem is to find XZ² given that XY² = 560. But how does that relate to the triangle ABC?
+    
+    Alternatively, maybe the problem is using different notation. Let me check again: "Three spherical balloons have radii 11, 13, and 19, and each pair is externally tangent. A plane cuts the balloons in three congruent circular cross-sections whose centers are X, Y, and Z, respectively; the centers of the balloons all lie on one side of the plane. If XY² = 560, determine XZ²."
+    
+    Wait, perhaps the problem is not about the triangle ABC but about the triangle formed by the centers projected onto the plane. Wait, but if the plane is the perpendicular bisector, then the projections of the centers onto the plane form the triangle ABC. Therefore, the cross-sections are circles in the plane, and their radii are equal because the plane is equidistant from all three centers. Therefore, the problem is to find XZ² given that XY² = 560. But if the plane is the perpendicular bisector, then all three centers are equidistant from the plane, so the distances from each center to the plane are equal. Therefore, the radii of the cross-sections are equal. Therefore, the problem is to find XZ²
+    ```