Reproducibility Engine
Experiment Snapshot Profiles
Benchmark Corpus Manager
TOTAL LIBRARIES
3 (ΩTuy, ΩBrauer, ΩDEO2)
SAMPLE DENSITY
450 Tasks
Silicon Mapping Profile
ISA Instruction Set Profile
Unified O.i-v2
TCU-2
Active
BZNU-2
Active
CEU-2
Active
Reasoning Pipeline Topology
Deterministic Static Ready
INPUT
Context $\Psi$
➔
DYNAMIC BOUNDS
Unified O.i Pipeline
Fully Stacked Operators
➔
SOLVER
Core LLM Engine
➔
OUTPUT
Optimal Answer
Benchmark Custom Configuration
TASKS PER RUN
120
REPEATED RUNS (N)
8
Task Playground View
Active Sample: 1/4
Selected Reasoning Task Scenario
Awaiting verification sweep... Select a task component or hit "Run Custom Benchmark" to execute.
Polyhedral Invariant Bounds
// Idle
Theoretical Target Orbit
// Idle
Solver Execution Pipeline Trace
STANDBY
// Deterministic verification pipeline stands ready.
Difficulty Level: Expert
Statistical Validation Module
MEAN SUCCESS RATE
-
95% CI: [-]
STANDARD DEV (σ)
-
Sample variance
HYPOTHESIS TESTING (vs Baseline)
Ready
Student t-value:
-
Mann-Whitney U:
-
Calculated p-value:
-
Effect Size (Cohen's d):
-
Awaiting run to execute parametric student-T and non-parametric Mann-Whitney U testing on generated task distributions.
STABILITY RATE
-
VIOLATIONS RATE
-
EVALUATION SWEEP PROGRESS
0%
Formal Operatorology Math
ΩTuy (Linear Cut Subspace Selector):
$$\Omega_{\mathrm{Tuy}}(\Psi) \rightarrow \operatorname{argmin}_{x \in \Psi} \mathcal{E}(x)$$
ΩBrauer (Invariance Orbit Projection):
$$\mathcal{H}_{0}^{\perp} = \lim_{H \to 0} g_H \quad \text{s.t.} \quad \det(g_H) \to 0$$
ΩDEO2 (Disciplined Second-Order Evolution):
$$\mathcal{D}_{\mathrm{DEO\text{-}2}}(T)=\lim_{n\to\infty}\prod_{k=1}^{n}\Big(\Pi_{t_k}\,\exp(\Delta t_k\,\Lambda(t_k))\,\Pi_{t_k}\Big)$$