Round #776
10 May 2026, 17:35· csharp· Meta-Llama-3.3-70B-Instruct· r14-length-bound
- Complexity
- band 0
- ZP / UO / OBS
- 3 / 0 / 3
- Journey weight
- 382
- Lightshift ΔL
- —
Prompt
Simplify the expression 3x squared times 4x cubed.
Zero-point index (what the engine surfaced)
ZPI-ZPI-0022 | 2026-05-10T17:35:39Z
Simplify the expression 3x squared times 4x cubed.
ZERO POINT — 3 entries (structural invariants)
● hsl(7.18, 100%, 50%) class [feature]
● hsl(0.00, 100%, 50%) public [feature]
● hsl(84.10, 100%, 50%) namespace [feature]
UNOBSERVED — 0 entries (implied truths)
OBSERVED — 3 entries (explicit in request)
◉ hsl(249.23, 100%, 22%) With expression [feature]
◉ hsl(264.62, 100%, 22%) is expression [feature]
◉ hsl(265.64, 100%, 22%) as expression [feature]
COMPLEXITY │ 6 entries │ spread: 16° │ band: LOW
Baseline response (no ZPI)
To simplify the expression 3x squared times 4x cubed, we need to multiply the coefficients (3 and 4) and add the exponents of x (2 and 3).
The simplified expression is:
(3 * 4) * x^(2 + 3)
= 12 * x^5
= 12x^5
So, the simplified expression is 12x^5.
Enhanced response (with ZPI)
3x^2 * 4x^3 = 12x^5.
Grader chain
Each grader reads the same baseline + enhanced pair and casts an independent verdict. Disagreement is the framework's own signal — not noise to be averaged away.
V1samba/Meta-Llama-3.3-70B-Instruct
WorseV4qwen2.5-coder-3b-instruct
BetterV5cerebras/qwen-3-235b-a22b-instruct-2507
WorseV7qwen2.5-coder-7b-instruct
SameV8openai/gpt-4.1
WorseV9anthropic/claude-opus-4-7
SameV12openai/gpt-4o
WorseComments
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