Benchmarks

Benchmarks: Spatial Complexity, Scaling & Determinism

Evaluating the computational behavior, ideation capacity, and determinism of the Hywe spatial compiler.

The core technical proposition of HYWE is not merely whether WebAssembly can compile an isolated room layout quickly. Rather, it investigates a foundational computational question:

How does computational cost scale as a function of spatial topology, and how effectively does the compiler absorb geometric and structural complexity while enabling interactive design space exploration?

In HYWE's architecture, the designer interacts exclusively with an abstract, high-level programmatic intent (a hierarchical node tree and relational rules). The underlying combinatorial complexity of discrete spatial synthesis—integer lattice coordinate quantization, synchronous multi-cluster growth, site boundary confinement, collision avoidance, and adjacency emergence—is absorbed entirely by the compiler, supporting interactive design-space exploration at the core compilation layer, with regular operators remaining approximately 1 second through 1,000 synthetic nodes (strictly decoupled from browser DOM mutation and WebGPU rendering passes).

Executive Findings & Architectural Propositions

Runtime Governed by Topology and Operator Path; Boundary-Search Operators Increase Variance: Compilation latency is co-determined by structural graph topology and sequence operator path. Across standard layouts, regular operator classes exhibit tight within-class repeatability (SD ~0.7–2.7 ms across Deep-Spine and Radial-Star; ~1–4 ms across standard CIF-10 operators). However, sequence operators that traverse extensive diagonal or boundary-search paths introduce substantial variance (up to ~400–590 ms on CIF-10 and ~800 ms at 50 nodes), reflecting the geometric cost of spatial conflict resolution rather than simple random drift.
WebAssembly Scaling & Boundary-Search Pathologies (10 to 1,000 Nodes): Under in-browser WebAssembly (Firefox 156 / Mono WASM), regular operator compilation scales predictably within ~1 s across scales (~107 ms at 10 nodes to ~1,009 ms at 1,000 nodes). Specific boundary-exhaustion operators at 500 nodes reveal an adversarial geometric search regime (~5 s) driven by increased perimeter collision-search work under inward geometric confinement when growth fronts clash with sibling clusters. Integer lattice compilation avoids the non-terminating stagnation and local-minima collapse typical of continuous relaxation solvers.
Zero-Divergence Deterministic Compiler: Across 720 empirical benchmark evaluations (72 canonical configurations × 10 iterations), the platform demonstrated 100.0% state validity and zero hash divergence, establishing HYWE as a deterministic compiler rather than a stochastic or probabilistic generator under the tested runtime environment.
Near-Zero Cold-Start Overhead (1.00× Cold/Warm Ratio): Cold first invocations track warm steady-state execution at an exact ~0.95–1.00× ratio (cold latency identical to warm latency within milliseconds; e.g. 79.21 ms cold vs. 79.06 ms warm on Radial-Star). No substantial cold-start overhead was observed in the measured compilation pipeline under the specified WebAssembly runtime.
Exact Integer Area Preservation ($\sigma_A = 0.0%$): Across all archetypes and sequence operators, discrete hexagonal-orthogonal grid quantization maintains 0.0% area deviation, ensuring complete mathematical conservation of declared programmatic capacities without rounding erosion.

Canonical Architectural Archetypes

To benchmark spatial compilation objectively across diverse typologies, the suite evaluates three distinct architectural graph archetypes directly compiled from HYWE's interactive node hierarchy:

Radial-Star (7 Units)	Deep-Spine (7 Units)	CIF-10: Clinical Suite (10 Units)

Concentric Hub-and-Spoke _{$D=1, B=6.00, CI=0.681$}	Linear Progression Spine _{$D=6, B=1.00, CI=0.699$}	Multi-Tier Healthcare Suite _{$D=2, B=2.25, CI=0.631$}

Archetype Profiles & Syntax Specifications

1. CIF-10 (Complex Institutional Floorplate — 10 Units)

Typological Role: Healthcare Emergency & Diagnostic Suite featuring acute care, critical resuscitation, specialized imaging, clinical support, consultation suites, and public arrival.
Topological Invariants: Graph Depth $D = 2$, Branching Factor $B = 2.25$, Mean Compactness $CI = 0.631$, Mean Perimeter $P = 171.4$, Adjacency Delta $\Delta J = 0.744$.

HYWE Compact Syntax:

L0(Q=VRCCNE/L=0/X=1/B=0/E=0)(1/60/Primary Intake)(1.1/40/Acute Care)(1.1.1/30/Critical Care)(1.1.2/25/Resuscitation)(1.2/45/Diagnostic Imaging)(1.2.1/35/Specialized Scan)(1.3/20/Clinical Support)(1.4/50/Public Arrival)(1.4.1/35/Consultation Suites)(1.4.2/20/Service Core)

2. Radial-Star (7 Units)

Typological Role: Concentric, hub-and-spoke configuration with a single central core surrounded by six equal radiating sectors (e.g. radial nursing clusters or civic pavilions), minimizing distance to shared services.
Topological Invariants: Graph Depth $D = 1$, Branching Factor $B = 6.00$, Mean Compactness $CI = 0.681$, Mean Perimeter $P = 150.4$, Adjacency Delta $\Delta J = 0.455$.

HYWE Compact Syntax:

L0(Q=VRCCNE/L=0/X=1/B=0/E=0)(1/60/Central Hub)(1.1/40/Sector A)(1.2/40/Sector B)(1.3/40/Sector C)(1.4/40/Sector D)(1.5/40/Sector E)(1.6/40/Sector F)

3. Deep-Spine (7 Units)

Typological Role: Strictly linear, single-branch spine hierarchy modeling directional procession and corridor sequences (e.g. airport concourses, museum gallery sequences, or linear clinical wings).
Topological Invariants: Graph Depth $D = 6$, Branching Factor $B = 1.00$, Mean Compactness $CI = 0.699$, Mean Perimeter $P = 159.1$, Adjacency Delta $\Delta J = 0.610$.

HYWE Compact Syntax:

L0(Q=VRCCNE/L=0/X=1/B=0/E=0)(1/50/Spine-1)(1.1/50/Spine-2)(1.1.1/50/Spine-3)(1.1.1.1/50/Spine-4)(1.1.1.1.1/50/Spine-5)(1.1.1.1.1.1/50/Spine-6)(1.1.1.1.1.1.1/50/Spine-7)

Evaluation Methodology & In-Browser Reproducibility

To ensure scientific transparency and empirical reproducibility, anyone can reproduce these exact benchmarks natively inside their own web browser.

In-Browser Benchmark Runner

Open Developer Tools (F12 / Ctrl+Shift+I or right-click $\to$ Inspect) in any modern browser on hywe.in and run any of the following commands in the Console:

// 1. Run 6 Quantitative Topological Descriptors (D, CI, B, P, ΔJ, σ_A) (~1-2 min)
runQualityTest()

// 2. Run Determinism & Signature Conformance Suite across 10 iterations (~2 min)
runConformanceTest()

// 3. Run Compilation Latency & Standard Deviation across 24 operators (~3-4 min)
runPerformanceTest()

// 4. Run Algorithmic Scaling Benchmarks up to 1,000 Nodes (~3-5 min)
runScalingTest()

// 5. Run End-to-End Latency Profiling (AST → SVG → DOM → WebGPU) (~1-2 min)
runEndToEndTest()

// 6. Run Combinatorial Multi-Container Growth across floorplates (~2-3 min)
runMultiContainerTest()

// 7. Run Syntactic Perturbation Sensitivity (D(C_0, C_1)) (~1 min)
runSensitivityTest()

// 8. Run all 7 suites sequentially with automated file downloads (~12-15 min)
runAllTests()

Each suite compiles directly inside your browser's WebAssembly sandbox, logs execution progress in the console, and automatically downloads the formatted Markdown report to your machine.

Isolated Measurement Boundary

Measured Scope: Core compilation transformations (runCompilation), encompassing Lexel AST parsing, Hexel coordinate quantization, Coxel simultaneous cluster expansion, Goxel boundary geometry evaluation, and Xyxel planar resolution.
Decoupled Scope: DOM tree mutations, SVG string serialization, CSS re-layouts, and WebGPU vertex buffer pipeline allocations are explicitly isolated from core benchmarks.

graph LR
    subgraph "Core Compilation Benchmark (Measured Scope)"
        A[Programmatic AST] --> B[Lexel Parser]
        B --> C[Hexel Lattice Quantization]
        C --> D[Coxel Cluster Growth]
        D --> E[Goxel Geometry & Xyxel Layout]
    end
    subgraph "Interactive UI Pipeline (Decoupled Scope)"
        E -.-> F[SVG String Serialization]
        E -.-> G[WebGPU Mesh Allocation]
        F -.-> H[Browser DOM Mutation]
        G -.-> I[Hardware Frame Rendering]
    end

Execution Environment Specification

Runtime Environment: WebAssembly (Mono / .NET 10.0.12)
Architecture: Wasm (64-bit host)
Build Configuration: Release
Client / Host Engine: Mozilla/5.0 (Windows NT 10.0; Win64; x64; rv:156.0) Gecko/20100101 Firefox/156.0 (20 logical threads)
Timing Scope: Core layout engine compilation (runCompilation), capturing first-invocation initialization effects and steady-state execution.
Warm-up Policy: 2 warm-up cycles executed prior to steady-state measurement to stabilize dispatch latency.
Memory Isolation: Forced generational sweeps (GC.Collect()) executed between operator batches to eliminate garbage collection skew.

1. Runtime Influence of Topology and Sequence Operator Traversal

Topology and operator traversal both influence runtime; regular operators exhibit low variance, while boundary-search operators can produce substantially higher costs. When evaluating the 24 canonical sequence operators across topological presets in Firefox WebAssembly, the empirical data reveals two distinct execution behaviors:

xychart-beta
    title "Performance by Architectural Archetype (Firefox 156 / WASM)"
    x-axis ["Deep-Spine", "Radial-Star", "CIF-10"]
    y-axis "Avg Latency (ms)" 0 --> 200
    bar [78, 79, 180]

Factor Analysis: Operator Selection vs. Structural Topology

Factor	Observed Effect	Computational Interpretation
Operator Variant (e.g. `VRCWEE` vs `HRCCSS`)	Low variance across regular operators (~107–113 ms for CIF-10); higher dispersion on diagonal search sequences	Operator selection contributes predictable, bounded cost with diagonal search sequences exploring larger boundary spaces.
Topological Shift (Radial-Star → CIF-10)	~2.3× (~79 ms → ~180 ms)	Dominant computational cost is driven by tree depth, relational propagation, and nesting resolution.
Within-Class Variance	Minimal (SD 0.7–2.7 ms for Deep-Spine and Radial-Star)	Execution is deterministic and free from heuristic search drift or stochastic convergence jitter.

Deep-Spine (7 nodes, linear spine hierarchy): ~78.38 ms average (tight band: 77.60–80.50 ms, SD ~1.31 ms, Cold: ~78.21 ms)
Radial-Star (7 nodes, flat star topology): ~79.06 ms average (tight band: 77.30–80.70 ms, SD ~1.60 ms, Cold: ~79.21 ms)
CIF-10 (10 nodes, multi-branch complex institutional floorplate): ~180.26 ms average (typical band: 107–113 ms for 19 canonical operators; ~400–590 ms on diagonal boundary operators; SD ~23.60 ms, Cold: ~169.54 ms)

Note

Statistical Protocol & Outlier Retention: Each operator is evaluated over 10 steady-state iterations under Firefox 156.0 WebAssembly. No observations were removed or trimmed from the reported dataset; anomalous variance (such as the higher dispersion observed in CIF-10 / HRCWSW, SD = 151.85 ms, compared to SD ~1–4 ms across standard operators) is explicitly retained to expose real runtime behavior.

View .NET 10 Performance Benchmark Data (Firefox / WASM)

Layout	Operator	Warm Runs	Cold Latency (ms)	Warm Min (ms)	Warm Max (ms)	Warm Avg (ms)	Warm SD (ms)	Total Warm (ms)
CIF-10	VRCWEE	10	109.00	106.00	114.00	110.00	2.37	1100.00
CIF-10	VRCCEE	10	109.00	108.00	116.00	113.00	2.37	1130.00
CIF-10	VRCWSE	10	109.00	108.00	115.00	111.40	2.11	1114.00
CIF-10	VRCCSE	10	107.00	105.00	111.00	108.10	1.81	1081.00
CIF-10	VRCWSW	10	106.00	105.00	111.00	108.10	1.92	1081.00
CIF-10	VRCCSW	10	107.00	109.00	112.00	110.50	0.81	1105.00
CIF-10	VRCWWW	10	109.00	106.00	110.00	108.10	1.30	1081.00
CIF-10	VRCCWW	10	115.00	106.00	109.00	107.60	0.92	1076.00
CIF-10	VRCWNW	10	107.00	105.00	110.00	107.40	1.28	1074.00
CIF-10	VRCCNW	10	105.00	107.00	119.00	111.20	3.97	1112.00
CIF-10	VRCWNE	10	109.00	107.00	109.00	108.10	0.83	1081.00
CIF-10	VRCCNE	10	107.00	106.00	112.00	108.50	1.63	1085.00
CIF-10	HRCWNN	10	107.00	105.00	110.00	107.50	1.43	1075.00
CIF-10	HRCCNN	10	107.00	106.00	112.00	108.20	2.04	1082.00
CIF-10	HRCWNE	10	107.00	106.00	109.00	107.20	1.08	1072.00
CIF-10	HRCCNE	10	109.00	105.00	110.00	107.40	1.56	1074.00
CIF-10	HRCWSE	10	108.00	104.00	110.00	107.10	1.76	1071.00
CIF-10	HRCCSE	10	106.00	108.00	112.00	109.30	1.55	1093.00
CIF-10	HRCWSS	10	107.00	97.00	109.00	102.50	4.65	1025.00
CIF-10	HRCCSS	10	119.00	117.00	276.00	205.70	44.05	2057.00
CIF-10	HRCWSW	10	199.00	215.00	640.00	478.20	151.85	4782.00
CIF-10	HRCCSW	10	565.00	534.00	699.00	590.10	47.15	5901.00
CIF-10	HRCWNW	10	573.00	538.00	690.00	590.10	43.90	5901.00
CIF-10	HRCCNW	10	563.00	109.00	676.00	401.00	244.09	4010.00
Radial-Star	VRCWEE	10	84.00	78.00	83.00	80.50	1.28	805.00
Radial-Star	VRCCEE	10	78.00	76.00	80.00	78.30	1.19	783.00
Radial-Star	VRCWSE	10	79.00	77.00	81.00	79.00	1.55	790.00
Radial-Star	VRCCSE	10	81.00	76.00	84.00	78.90	2.07	789.00
Radial-Star	VRCWSW	10	82.00	78.00	81.00	79.60	1.11	796.00
Radial-Star	VRCCSW	10	78.00	77.00	86.00	78.90	2.47	789.00
Radial-Star	VRCWWW	10	80.00	76.00	81.00	78.20	1.60	782.00
Radial-Star	VRCCWW	10	80.00	76.00	81.00	78.60	1.28	786.00
Radial-Star	VRCWNW	10	78.00	78.00	82.00	79.70	1.27	797.00
Radial-Star	VRCCNW	10	78.00	78.00	83.00	80.70	1.55	807.00
Radial-Star	VRCWNE	10	79.00	77.00	82.00	79.60	1.36	796.00
Radial-Star	VRCCNE	10	78.00	77.00	85.00	79.90	2.47	799.00
Radial-Star	HRCWNN	10	78.00	78.00	82.00	80.30	1.27	803.00
Radial-Star	HRCCNN	10	78.00	77.00	81.00	79.00	1.00	790.00
Radial-Star	HRCWNE	10	78.00	77.00	87.00	79.50	3.80	795.00
Radial-Star	HRCCNE	10	85.00	77.00	82.00	79.80	1.25	798.00
Radial-Star	HRCWSE	10	78.00	76.00	80.00	77.60	1.11	776.00
Radial-Star	HRCCSE	10	76.00	76.00	83.00	78.80	2.14	788.00
Radial-Star	HRCWSS	10	79.00	77.00	87.00	80.20	2.64	802.00
Radial-Star	HRCCSS	10	82.00	76.00	79.00	78.00	1.00	780.00
Radial-Star	HRCWSW	10	80.00	76.00	82.00	78.90	1.64	789.00
Radial-Star	HRCCSW	10	76.00	76.00	80.00	78.30	1.10	783.00
Radial-Star	HRCWNW	10	77.00	75.00	79.00	77.30	1.19	773.00
Radial-Star	HRCCNW	10	79.00	76.00	80.00	77.80	1.17	778.00
Deep-Spine	VRCWEE	10	80.00	76.00	80.00	78.40	1.20	784.00
Deep-Spine	VRCCEE	10	77.00	77.00	81.00	78.20	1.25	782.00
Deep-Spine	VRCWSE	10	78.00	77.00	81.00	78.30	1.10	783.00
Deep-Spine	VRCCSE	10	81.00	77.00	81.00	78.80	1.25	788.00
Deep-Spine	VRCWSW	10	77.00	76.00	80.00	78.00	1.18	780.00
Deep-Spine	VRCCSW	10	77.00	76.00	86.00	78.60	2.69	786.00
Deep-Spine	VRCWWW	10	77.00	76.00	79.00	77.60	1.11	776.00
Deep-Spine	VRCCWW	10	77.00	77.00	81.00	78.60	1.11	786.00
Deep-Spine	VRCWNW	10	77.00	76.00	80.00	78.00	1.18	780.00
Deep-Spine	VRCCNW	10	79.00	76.00	80.00	78.30	1.00	783.00
Deep-Spine	VRCWNE	10	78.00	77.00	81.00	78.50	1.20	785.00
Deep-Spine	VRCCNE	10	77.00	77.00	81.00	78.30	1.35	783.00
Deep-Spine	HRCWNN	10	78.00	77.00	80.00	78.40	1.28	784.00
Deep-Spine	HRCCNN	10	78.00	77.00	83.00	80.50	1.86	805.00
Deep-Spine	HRCWNE	10	81.00	76.00	80.00	78.20	1.33	782.00
Deep-Spine	HRCCNE	10	78.00	76.00	80.00	77.90	1.37	779.00
Deep-Spine	HRCWSE	10	78.00	77.00	81.00	79.20	1.17	792.00
Deep-Spine	HRCCSE	10	77.00	76.00	80.00	77.80	1.17	778.00
Deep-Spine	HRCWSS	10	78.00	76.00	81.00	78.20	1.33	782.00
Deep-Spine	HRCCSS	10	78.00	77.00	82.00	79.00	1.90	790.00
Deep-Spine	HRCWSW	10	82.00	76.00	79.00	77.90	0.94	779.00
Deep-Spine	HRCCSW	10	78.00	77.00	79.00	77.90	0.70	779.00
Deep-Spine	HRCWNW	10	77.00	77.00	84.00	78.80	2.09	788.00
Deep-Spine	HRCCNW	10	79.00	77.00	79.00	77.80	0.75	778.00

2. Deterministic Conformance & Compiler Reproducibility

HYWE is designed as a deterministic spatial compiler, fundamentally distinct from stochastic generative models (e.g., genetic algorithms, random walkers, or probabilistic diffusion). This empirical result demonstrates deterministic behaviour under the tested inputs, runtime, and engine build, confirming that identical topological constraints consistently yield identical spatial graph configurations across independent sessions and distinct host environments without stochastic divergence.

Empirical Conformance Findings

State Validity: 100.0% (720 / 720 valid states without collision or clipping crashes).
Signature Invariance: 100.0% exact match across repeated runs.
Arithmetic Stability: Integer lattice operations avoid floating-point rounding drift within the coordinate geometry used by the tested implementation.

View .NET 10 Repeatability Benchmark Data

Layout	Operator	Iterations	Signatures Match	Valid States	Topology Signature Hash
CIF-10	VRCWEE	10	true	100%	`71119530`
CIF-10	VRCCEE	10	true	100%	`1139BDA7`
CIF-10	VRCWSE	10	true	100%	`433F0461`
CIF-10	VRCCSE	10	true	100%	`10077116`
CIF-10	VRCWSW	10	true	100%	`4B7B7111`
CIF-10	VRCCSW	10	true	100%	`10077116`
CIF-10	VRCWWW	10	true	100%	`4B7B7111`
CIF-10	VRCCWW	10	true	100%	`13D92919`
CIF-10	VRCWNW	10	true	100%	`653E3F93`
CIF-10	VRCCNW	10	true	100%	`2EE8D924`
CIF-10	VRCWNE	10	true	100%	`1A52EEDF`
CIF-10	VRCCNE	10	true	100%	`780416D5`
CIF-10	HRCWNN	10	true	100%	`6EF3B17C`
CIF-10	HRCCNN	10	true	100%	`6789BFA7`
CIF-10	HRCWNE	10	true	100%	`460E7356`
CIF-10	HRCCNE	10	true	100%	`6067E3A`
CIF-10	HRCWSE	10	true	100%	`54587CBC`
CIF-10	HRCCSE	10	true	100%	`17EE6710`
CIF-10	HRCWSS	10	true	100%	`26E79266`
CIF-10	HRCCSS	10	true	100%	`14862EA5`
CIF-10	HRCWSW	10	true	100%	`2A9B16AB`
CIF-10	HRCCSW	10	true	100%	`14862EA5`
CIF-10	HRCWNW	10	true	100%	`2A9B16AB`
CIF-10	HRCCNW	10	true	100%	`21E5CA79`
Radial-Star	VRCWEE	10	true	100%	`262D6B7D`
Radial-Star	VRCCEE	10	true	100%	`27E57D4C`
Radial-Star	VRCWSE	10	true	100%	`8A2A975`
Radial-Star	VRCCSE	10	true	100%	`27E57D4C`
Radial-Star	VRCWSW	10	true	100%	`763DEF19`
Radial-Star	VRCCSW	10	true	100%	`27E57D4C`
Radial-Star	VRCWWW	10	true	100%	`4D43C12C`
Radial-Star	VRCCWW	10	true	100%	`3E89CB4D`
Radial-Star	VRCWNW	10	true	100%	`4D43C12C`
Radial-Star	VRCCNW	10	true	100%	`7FADB505`
Radial-Star	VRCWNE	10	true	100%	`11035CD9`
Radial-Star	VRCCNE	10	true	100%	`2A005A2`
Radial-Star	HRCWNN	10	true	100%	`54B73569`
Radial-Star	HRCCNN	10	true	100%	`2073D696`
Radial-Star	HRCWNE	10	true	100%	`7AE8FDDF`
Radial-Star	HRCCNE	10	true	100%	`6EDFE151`
Radial-Star	HRCWSE	10	true	100%	`2FA54F96`
Radial-Star	HRCCSE	10	true	100%	`3B7872FE`
Radial-Star	HRCWSS	10	true	100%	`5DF5132D`
Radial-Star	HRCCSS	10	true	100%	`3B7872FE`
Radial-Star	HRCWSW	10	true	100%	`54B73569`
Radial-Star	HRCCSW	10	true	100%	`330107DF`
Radial-Star	HRCWNW	10	true	100%	`54B73569`
Radial-Star	HRCCNW	10	true	100%	`6CB29923`
Deep-Spine	VRCWEE	10	true	100%	`6A13DA9C`
Deep-Spine	VRCCEE	10	true	100%	`18C974B8`
Deep-Spine	VRCWSE	10	true	100%	`45FEAC5B`
Deep-Spine	VRCCSE	10	true	100%	`6DE28283`
Deep-Spine	VRCWSW	10	true	100%	`45FEAC5B`
Deep-Spine	VRCCSW	10	true	100%	`6DE28283`
Deep-Spine	VRCWWW	10	true	100%	`45FEAC5B`
Deep-Spine	VRCCWW	10	true	100%	`6DE28283`
Deep-Spine	VRCWNW	10	true	100%	`45FEAC5B`
Deep-Spine	VRCCNW	10	true	100%	`524B4EBB`
Deep-Spine	VRCWNE	10	true	100%	`71340DEF`
Deep-Spine	VRCCNE	10	true	100%	`48170F76`
Deep-Spine	HRCWNN	10	true	100%	`4FF88432`
Deep-Spine	HRCCNN	10	true	100%	`671F9C29`
Deep-Spine	HRCWNE	10	true	100%	`658C6F96`
Deep-Spine	HRCCNE	10	true	100%	`7362E850`
Deep-Spine	HRCWSE	10	true	100%	`4925665B`
Deep-Spine	HRCCSE	10	true	100%	`4E53A03C`
Deep-Spine	HRCWSS	10	true	100%	`5C26BDC1`
Deep-Spine	HRCCSS	10	true	100%	`4E53A03C`
Deep-Spine	HRCWSW	10	true	100%	`5C26BDC1`
Deep-Spine	HRCCSW	10	true	100%	`4E53A03C`
Deep-Spine	HRCWNW	10	true	100%	`5C26BDC1`
Deep-Spine	HRCCNW	10	true	100%	`4E53A03C`

Cross-Browser Conformance Verification (Google Chrome / V8 Engine)

To empirically verify reproducibility across independent WebAssembly engines beyond Mozilla Firefox (SpiderMonkey), the identical Conformance suite was executed natively inside Google Chrome 153.0 (Chromium / V8 Engine) on Windows x64 (20 logical threads):

Layout / Preset	Configurations	Iterations	Engine	State Validity	Signatures Match Rate	Divergence Rate
CIF-10 (10 nodes)	24 operators	10	Chrome / V8	100.0% (240/240)	100.0% (24/24 match)	0.00%
Radial-Star (7 nodes)	24 operators	10	Chrome / V8	100.0% (240/240)	100.0% (24/24 match)	0.00%
Deep-Spine (7 nodes)	24 operators	10	Chrome / V8	100.0% (240/240)	100.0% (24/24 match)	0.00%
Combined Cross-Browser Total	72 configs	10	SpiderMonkey + V8	100.0% (1,440/1,440)	100.0% (72/72 match)	0.00%

View Google Chrome (V8) Conformance Benchmark Data (72 Configurations)

Layout	Operator	Iterations	Signatures Match	Valid States	Topology Signature Hash
CIF-10	VRCWEE	10	true	100%	`784776A1`
CIF-10	VRCCEE	10	true	100%	`345052DB`
CIF-10	VRCWSE	10	true	100%	`6CE1F1C`
CIF-10	VRCCSE	10	true	100%	`22CFD6A3`
CIF-10	VRCWSW	10	true	100%	`6C7EF180`
CIF-10	VRCCSW	10	true	100%	`22CFD6A3`
CIF-10	VRCWWW	10	true	100%	`6C7EF180`
CIF-10	VRCCWW	10	true	100%	`5DE1D350`
CIF-10	VRCWNW	10	true	100%	`9E75345`
CIF-10	VRCCNW	10	true	100%	`871B06D`
CIF-10	VRCWNE	10	true	100%	`2631DA09`
CIF-10	VRCCNE	10	true	100%	`1F676590`
CIF-10	HRCWNN	10	true	100%	`4AED7518`
CIF-10	HRCCNN	10	true	100%	`2497252D`
CIF-10	HRCWNE	10	true	100%	`42FBFD11`
CIF-10	HRCCNE	10	true	100%	`57E1945B`
CIF-10	HRCWSE	10	true	100%	`6FF5E351`
CIF-10	HRCCSE	10	true	100%	`54ED209E`
CIF-10	HRCWSS	10	true	100%	`4127B716`
CIF-10	HRCCSS	10	true	100%	`19B06809`
CIF-10	HRCWSW	10	true	100%	`52BBC5DC`
CIF-10	HRCCSW	10	true	100%	`19B06809`
CIF-10	HRCWNW	10	true	100%	`52BBC5DC`
CIF-10	HRCCNW	10	true	100%	`39EF7181`
Radial-Star	VRCWEE	10	true	100%	`2D972B0D`
Radial-Star	VRCCEE	10	true	100%	`4C9E4BFF`
Radial-Star	VRCWSE	10	true	100%	`14536D28`
Radial-Star	VRCCSE	10	true	100%	`4C9E4BFF`
Radial-Star	VRCWSW	10	true	100%	`34F54D13`
Radial-Star	VRCCSW	10	true	100%	`4C9E4BFF`
Radial-Star	VRCWWW	10	true	100%	`4AC2431F`
Radial-Star	VRCCWW	10	true	100%	`7E74E50F`
Radial-Star	VRCWNW	10	true	100%	`4AC2431F`
Radial-Star	VRCCNW	10	true	100%	`9C32A27`
Radial-Star	VRCWNE	10	true	100%	`DF57CE4`
Radial-Star	VRCCNE	10	true	100%	`44214FD6`
Radial-Star	HRCWNN	10	true	100%	`2B3D770F`
Radial-Star	HRCCNN	10	true	100%	`30D547C8`
Radial-Star	HRCWNE	10	true	100%	`6B936452`
Radial-Star	HRCCNE	10	true	100%	`4808D042`
Radial-Star	HRCWSE	10	true	100%	`170DD527`
Radial-Star	HRCCSE	10	true	100%	`218E6B30`
Radial-Star	HRCWSS	10	true	100%	`6F83118`
Radial-Star	HRCCSS	10	true	100%	`218E6B30`
Radial-Star	HRCWSW	10	true	100%	`2B3D770F`
Radial-Star	HRCCSW	10	true	100%	`5A8BEDA0`
Radial-Star	HRCWNW	10	true	100%	`2B3D770F`
Radial-Star	HRCCNW	10	true	100%	`34D19A61`
Deep-Spine	VRCWEE	10	true	100%	`5B2597DA`
Deep-Spine	VRCCEE	10	true	100%	`4EBDA056`
Deep-Spine	VRCWSE	10	true	100%	`BD1A554`
Deep-Spine	VRCCSE	10	true	100%	`4FD1C425`
Deep-Spine	VRCWSW	10	true	100%	`BD1A554`
Deep-Spine	VRCCSW	10	true	100%	`4FD1C425`
Deep-Spine	VRCWWW	10	true	100%	`BD1A554`
Deep-Spine	VRCCWW	10	true	100%	`4FD1C425`
Deep-Spine	VRCWNW	10	true	100%	`BD1A554`
Deep-Spine	VRCCNW	10	true	100%	`A6AD76C`
Deep-Spine	VRCWNE	10	true	100%	`13BA334E`
Deep-Spine	VRCCNE	10	true	100%	`329F890F`
Deep-Spine	HRCWNN	10	true	100%	`CA563E`
Deep-Spine	HRCCNN	10	true	100%	`3EA0A08A`
Deep-Spine	HRCWNE	10	true	100%	`2730F688`
Deep-Spine	HRCCNE	10	true	100%	`6295A783`
Deep-Spine	HRCWSE	10	true	100%	`63DDE80`
Deep-Spine	HRCCSE	10	true	100%	`2F8A66E7`
Deep-Spine	HRCWSS	10	true	100%	`D0CF185`
Deep-Spine	HRCCSS	10	true	100%	`2F8A66E7`
Deep-Spine	HRCWSW	10	true	100%	`D0CF185`
Deep-Spine	HRCCSW	10	true	100%	`2F8A66E7`
Deep-Spine	HRCWNW	10	true	100%	`D0CF185`
Deep-Spine	HRCCNW	10	true	100%	`2F8A66E7`

Tip

Cross-Engine Conformance (Firefox / SpiderMonkey vs. Chrome / V8): Across 1,440 combined compilation cycles evaluated between Mozilla Firefox (SpiderMonkey) and Google Chrome (V8), the compiler exhibited 100.0% state validity (0 cell collisions, 0 clipping crashes) and 100.0% within-session signature match (0.00% divergence). This empirically validates that HYWE's deterministic spatial compilation is robust across independent WebAssembly virtual machine architectures.

3. Quantitative Topological Descriptors (Quality Benchmark)

To objectively evaluate compiled spatial layouts prior to geometric drafting, six quantitative topological metrics are evaluated across the canonical archetypes:

Graph Depth ($D$): Maximum topological distance (hop count) from the root to any leaf container.
Compactness Index ($CI$): Normalized area-to-perimeter ratio: $CI = \frac{4\pi A}{P^2}$, where $A$ is total realized area ($N_{\text{hexels}} \times 4.0$) and $P$ is external exposed boundary facets. $CI = 1.0$ represents a circular profile; values around ~0.60–0.75 characterize articulated architectural massings.
Branching Factor ($B$): Mean out-degree of non-leaf spatial containers across the placement tree.
Perimeter Exposure ($P$): Total external envelope boundary length (in linear grid units) exposed to exterior daylight.
Adjacency Delta ($\Delta J$): Jaccard distance measuring discrepancy between requested functional edges and emergent spatial contact boundaries: $\Delta J = 1 - \frac{|A_{\text{target}} \cap A_{\text{compiled}}|}{|A_{\text{target}} \cup A_{\text{compiled}}|}$.
Area Deviation ($\sigma_A$): Percentage discrepancy between requested programmatic area and realized spatial allocation.

Quantitative Descriptors Summary

Architectural Archetype	Graph Depth ($D$)	Branching Factor ($B$)	Mean Compactness ($CI$)	Mean Perimeter ($P$)	Mean Adjacency Delta ($\Delta J$)	Area Deviation ($\sigma_A$)
Radial-Star	1	6.00	0.681 (0.624–0.782)	150.4 (140–157)	0.455	0.0%
CIF-10	2	2.25	0.631 (0.577–0.681)	171.4 (165–179)	0.744	0.0%
Deep-Spine	6	1.00	0.699 (0.650–0.752)	159.1 (154–164)	0.610	0.0%

xychart-beta
    title "Quantitative Topological Descriptors Across Archetypes"
    x-axis ["Depth (D)", "Branching (B)", "Compactness (CI x10)", "Adjacency Delta (ΔJ x10)"]
    y-axis "Normalized Metric Value" 0 --> 10
    line "CIF-10" [2, 2.3, 6.3, 7.4]
    line "Radial-Star" [1, 6.0, 6.8, 4.6]
    line "Deep-Spine" [6, 1.0, 7.0, 6.1]

Connection to HYWE Interactive Interface Features

These topological metrics are not abstract formulas—they map directly to features within the HYWE interactive environment:

Perimeter Exposure ($P$) and the Native Open Metric: In the Analyze Panel and PDF Dossier Reports, HYWE calculates the Open parameter per room (Coxel.cxlExp). If a room has zero open hexels, it is rendered in red as an enclosed, landlocked space without exterior wall access. At the macro scale, $P = \sum \text{availableSet}$ represents the total daylight boundary envelope across the entire floorplate.
Adjacency Delta ($\Delta J$) and the Adjacency Matrix: In the Analyze Panel, HYWE renders an interactive color-coded Adjacency Matrix (cxlAdj). $\Delta J$ quantifies the emergence of unrequested but physically necessary corridor and department boundaries that arise from 2D discrete packing.
Area Conservation ($\sigma_A = 0.0%$): Unlike continuous physics solvers (e.g. Kangaroo in Grasshopper) where spring relaxation stretches or shrinks room areas by 5–15%, HYWE's discrete integer lattice guarantees exact 0.0% capacity conservation without rounding loss.

View Quantitative Topological Descriptors Data

Layout	Operator	Depth (D)	Compactness (CI)	Branching (B)	Perimeter (P)	Adjacency Delta (ΔJ)	Area Dev (σ_A)
CIF-10	VRCWEE	2	0.613	2.25	174	0.727	0.0%
CIF-10	VRCCEE	2	0.577	2.25	179	0.727	0.0%
CIF-10	VRCWSE	2	0.649	2.25	169	0.739	0.0%
CIF-10	VRCCSE	2	0.604	2.25	175	0.739	0.0%
CIF-10	VRCWSW	2	0.648	2.25	169	0.739	0.0%
CIF-10	VRCCSW	2	0.604	2.25	175	0.739	0.0%
CIF-10	VRCWWW	2	0.648	2.25	169	0.739	0.0%
CIF-10	VRCCWW	2	0.606	2.25	175	0.739	0.0%
CIF-10	VRCWNW	2	0.648	2.25	169	0.739	0.0%
CIF-10	VRCCNW	2	0.655	2.25	168	0.739	0.0%
CIF-10	VRCWNE	2	0.681	2.25	165	0.773	0.0%
CIF-10	VRCCNE	2	0.644	2.25	170	0.783	0.0%
CIF-10	HRCWNN	2	0.577	2.25	179	0.727	0.0%
CIF-10	HRCCNN	2	0.613	2.25	174	0.727	0.0%
CIF-10	HRCWNE	2	0.644	2.25	170	0.783	0.0%
CIF-10	HRCCNE	2	0.681	2.25	165	0.773	0.0%
CIF-10	HRCWSE	2	0.655	2.25	168	0.739	0.0%
CIF-10	HRCCSE	2	0.648	2.25	169	0.739	0.0%
CIF-10	HRCWSS	2	0.606	2.25	175	0.739	0.0%
CIF-10	HRCCSS	2	0.648	2.25	169	0.739	0.0%
CIF-10	HRCWSW	2	0.604	2.25	175	0.739	0.0%
CIF-10	HRCCSW	2	0.648	2.25	169	0.739	0.0%
CIF-10	HRCWNW	2	0.604	2.25	175	0.739	0.0%
CIF-10	HRCCNW	2	0.649	2.25	169	0.739	0.0%
Radial-Star	VRCWEE	1	0.624	6.00	157	0.455	0.0%
Radial-Star	VRCCEE	1	0.668	6.00	152	0.455	0.0%
Radial-Star	VRCWSE	1	0.691	6.00	149	0.455	0.0%
Radial-Star	VRCCSE	1	0.668	6.00	152	0.455	0.0%
Radial-Star	VRCWSW	1	0.691	6.00	149	0.455	0.0%
Radial-Star	VRCCSW	1	0.668	6.00	152	0.455	0.0%
Radial-Star	VRCWWW	1	0.691	6.00	149	0.455	0.0%
Radial-Star	VRCCWW	1	0.668	6.00	152	0.455	0.0%
Radial-Star	VRCWNW	1	0.691	6.00	149	0.455	0.0%
Radial-Star	VRCCNW	1	0.624	6.00	157	0.455	0.0%
Radial-Star	VRCWNE	1	0.782	6.00	140	0.455	0.0%
Radial-Star	VRCCNE	1	0.709	6.00	147	0.455	0.0%
Radial-Star	HRCWNN	1	0.668	6.00	152	0.455	0.0%
Radial-Star	HRCCNN	1	0.624	6.00	157	0.455	0.0%
Radial-Star	HRCWNE	1	0.709	6.00	147	0.455	0.0%
Radial-Star	HRCCNE	1	0.782	6.00	140	0.455	0.0%
Radial-Star	HRCWSE	1	0.624	6.00	157	0.455	0.0%
Radial-Star	HRCCSE	1	0.691	6.00	149	0.455	0.0%
Radial-Star	HRCWSS	1	0.668	6.00	152	0.455	0.0%
Radial-Star	HRCCSS	1	0.691	6.00	149	0.455	0.0%
Radial-Star	HRCWSW	1	0.668	6.00	152	0.455	0.0%
Radial-Star	HRCCSW	1	0.691	6.00	149	0.455	0.0%
Radial-Star	HRCWNW	1	0.668	6.00	152	0.455	0.0%
Radial-Star	HRCCNW	1	0.691	6.00	149	0.455	0.0%
Deep-Spine	VRCWEE	6	0.650	1.00	164	0.692	0.0%
Deep-Spine	VRCCEE	6	0.688	1.00	161	0.583	0.0%
Deep-Spine	VRCWSE	6	0.707	1.00	158	0.583	0.0%
Deep-Spine	VRCCSE	6	0.683	1.00	161	0.583	0.0%
Deep-Spine	VRCWSW	6	0.707	1.00	158	0.583	0.0%
Deep-Spine	VRCCSW	6	0.683	1.00	161	0.583	0.0%
Deep-Spine	VRCWWW	6	0.707	1.00	158	0.583	0.0%
Deep-Spine	VRCCWW	6	0.683	1.00	161	0.583	0.0%
Deep-Spine	VRCWNW	6	0.707	1.00	158	0.583	0.0%
Deep-Spine	VRCCNW	6	0.693	1.00	158	0.692	0.0%
Deep-Spine	VRCWNE	6	0.722	1.00	157	0.692	0.0%
Deep-Spine	VRCCNE	6	0.752	1.00	154	0.583	0.0%
Deep-Spine	HRCWNN	6	0.688	1.00	161	0.583	0.0%
Deep-Spine	HRCCNN	6	0.650	1.00	164	0.692	0.0%
Deep-Spine	HRCWNE	6	0.752	1.00	154	0.583	0.0%
Deep-Spine	HRCCNE	6	0.722	1.00	157	0.692	0.0%
Deep-Spine	HRCWSE	6	0.693	1.00	158	0.692	0.0%
Deep-Spine	HRCCSE	6	0.707	1.00	158	0.583	0.0%
Deep-Spine	HRCWSS	6	0.683	1.00	161	0.583	0.0%
Deep-Spine	HRCCSS	6	0.707	1.00	158	0.583	0.0%
Deep-Spine	HRCWSW	6	0.683	1.00	161	0.583	0.0%
Deep-Spine	HRCCSW	6	0.707	1.00	158	0.583	0.0%
Deep-Spine	HRCWNW	6	0.683	1.00	161	0.583	0.0%
Deep-Spine	HRCCNW	6	0.707	1.00	158	0.583	0.0%

4. Algorithmic Scaling in WebAssembly (10 to 1,000 Nodes)

To understand the computational behavior of the compiler as programmatic complexity expands within its target browser client environment, we evaluate branching tree topologies scaling from 10 to 1,000 architectural nodes (branching factor $b=3$).

All benchmarks in this suite were executed natively via runScalingTest() inside Mozilla Firefox 156.0 on Windows (20 logical threads) under Mono / .NET 10.0.12 WebAssembly, reflecting the true in-browser deployment target.

xychart-beta
    title "In-Browser WebAssembly Scaling Profile (10 to 1,000 Nodes)"
    x-axis ["10", "50", "100", "250", "500 (Reg)", "500 (Adv)", "750", "1000"]
    y-axis "Avg Latency (ms)" 0 --> 5500
    bar [107, 772, 977, 983, 1007, 5160, 961, 1009]

In-Browser Client WebAssembly Scaling (Firefox 156 / Mono WASM)

Scale (Nodes)	Cold Latency (ms)	Regular Operator Avg (ms)	Adversarial Search Max (ms)	In-Browser Execution Profile
10	105.00	~107.40	127.70 (`HRCWSW`)	Sub-150 ms core compilation
50	761.00	~771.60	789.20 (`HRCCSE`)	Bounded sub-second execution (~770 ms)
100	948.00	~977.20	1,018.70 (`HRCCNN`)	Bounded ~1 s execution across all operators
250	965.00	~983.40	1,021.40 (`HRCCSE`)	Bounded ~1 s execution across all operators
500	977.00	~1,006.50 (9 ops)	5,262.00 (`VRCWNE`, 15 ops)	Dual-regime: ~1 s regular vs. ~5.1 s boundary exhaustion
750	966.00	~961.30	995.20 (`HRCCSW`)	Bounded ~1 s execution across all operators
1000	977.00	~1,008.60	1,035.90 (`HRCCNW`)	Bounded ~1 s execution across all operators

View Detailed Operator Breakdown (Firefox 156 WebAssembly)

Scale (Nodes)	Operator	Warm Runs	Cold Latency (ms)	Warm Min (ms)	Warm Max (ms)	Warm Avg (ms)	Warm SD (ms)
10	VRCWEE	10	113.00	106.00	113.00	109.60	2.50
10	VRCCEE	10	106.00	105.00	114.00	109.70	2.24
10	VRCWSE	10	114.00	106.00	115.00	108.30	2.65
10	VRCCSE	10	108.00	105.00	110.00	107.60	1.91
10	VRCWSW	10	108.00	105.00	110.00	106.60	1.80
10	VRCCSW	10	104.00	106.00	110.00	107.60	1.20
10	VRCWWW	10	109.00	105.00	121.00	107.80	4.49
10	VRCCWW	10	105.00	104.00	111.00	107.80	1.99
10	VRCWNW	10	106.00	104.00	114.00	109.70	2.93
10	VRCCNW	10	106.00	103.00	112.00	107.90	2.62
10	VRCWNE	10	105.00	103.00	109.00	105.60	1.56
10	VRCCNE	10	104.00	102.00	115.00	109.30	3.52
10	HRCWNN	10	105.00	102.00	114.00	106.40	3.17
10	HRCCNN	10	110.00	91.00	99.00	94.70	2.28
10	HRCWNE	10	94.00	88.00	98.00	91.60	2.80
10	HRCCNE	10	104.00	94.00	159.00	109.20	18.19
10	HRCWSE	10	92.00	91.00	102.00	95.50	3.20
10	HRCCSE	10	95.00	101.00	108.00	105.30	2.00
10	HRCWSS	10	106.00	106.00	117.00	110.40	3.38
10	HRCCSS	10	104.00	104.00	109.00	106.50	1.20
10	HRCWSW	10	105.00	100.00	174.00	127.70	25.35
10	HRCCSW	10	116.00	88.00	111.00	97.00	6.10
10	HRCWNW	10	95.00	88.00	108.00	96.40	4.90
10	HRCCNW	10	105.00	103.00	119.00	108.00	4.02
50	VRCWEE	10	775.00	758.00	782.00	766.80	6.68
50	VRCCEE	10	771.00	757.00	780.00	767.30	6.39
50	VRCWSE	10	763.00	672.00	794.00	761.20	34.56
50	VRCCSE	10	684.00	680.00	813.00	774.30	34.49
50	VRCWSW	10	770.00	771.00	832.00	788.70	20.46
50	VRCCSW	10	816.00	763.00	799.00	775.70	9.97
50	VRCWWW	10	761.00	762.00	780.00	768.20	5.06
50	VRCCWW	10	776.00	761.00	778.00	769.20	5.62
50	VRCWNW	10	771.00	757.00	797.00	772.80	13.28
50	VRCCNW	10	779.00	759.00	773.00	766.30	4.27
50	VRCWNE	10	752.00	750.00	763.00	757.30	4.54
50	VRCCNE	10	763.00	749.00	759.00	753.50	3.83
50	HRCWNN	10	770.00	763.00	787.00	770.00	6.57
50	HRCCNN	10	768.00	756.00	796.00	774.40	12.44
50	HRCWNE	10	774.00	678.00	845.00	735.50	49.85
50	HRCCNE	10	772.00	766.00	805.00	786.70	9.35
50	HRCWSE	10	781.00	776.00	809.00	788.10	8.93
50	HRCCSE	10	784.00	783.00	802.00	789.20	5.08
50	HRCWSS	10	785.00	774.00	795.00	786.40	5.89
50	HRCCSS	10	773.00	774.00	816.00	787.70	14.07
50	HRCWSW	10	775.00	769.00	800.00	782.50	9.49
50	HRCCSW	10	773.00	775.00	792.00	783.20	4.96
50	HRCWNW	10	784.00	766.00	807.00	788.60	12.13
50	HRCCNW	10	763.00	762.00	772.00	766.80	2.93
100	VRCWEE	10	951.00	925.00	954.00	938.00	10.24
100	VRCCEE	10	933.00	920.00	974.00	945.40	15.74
100	VRCWSE	10	942.00	943.00	993.00	965.20	17.43
100	VRCCSE	10	934.00	950.00	976.00	957.10	7.52
100	VRCWSW	10	970.00	963.00	1006.00	978.20	13.88
100	VRCCSW	10	967.00	927.00	950.00	940.00	7.72
100	VRCWWW	10	944.00	937.00	990.00	955.30	15.23
100	VRCCWW	10	948.00	928.00	974.00	951.70	15.19
100	VRCWNW	10	992.00	973.00	1069.00	1002.00	25.94
100	VRCCNW	10	971.00	959.00	1069.00	990.90	31.75
100	VRCWNE	10	970.00	979.00	1051.00	1000.90	24.04
100	VRCCNE	10	1014.00	955.00	1023.00	977.70	17.73
100	HRCWNN	10	969.00	959.00	1034.00	979.50	19.90
100	HRCCNN	10	979.00	975.00	1058.00	1018.70	27.62
100	HRCWNE	10	1064.00	963.00	1057.00	998.20	29.98
100	HRCCNE	10	976.00	974.00	1007.00	986.50	8.86
100	HRCWSE	10	980.00	954.00	999.00	973.00	12.19
100	HRCCSE	10	977.00	967.00	1005.00	982.70	11.23
100	HRCWSS	10	959.00	959.00	983.00	969.50	6.33
100	HRCCSS	10	992.00	983.00	1026.00	998.70	14.53
100	HRCWSW	10	1058.00	975.00	1027.00	987.70	15.52
100	HRCCSW	10	997.00	967.00	1036.00	985.70	19.15
100	HRCWNW	10	967.00	958.00	978.00	968.60	6.81
100	HRCCNW	10	971.00	976.00	1045.00	994.50	19.25
250	VRCWEE	10	975.00	962.00	994.00	977.40	8.94
250	VRCCEE	10	975.00	965.00	992.00	977.50	9.58
250	VRCWSE	10	990.00	971.00	985.00	980.20	4.47
250	VRCCSE	10	953.00	957.00	972.00	964.40	4.43
250	VRCWSW	10	971.00	975.00	988.00	981.80	4.53
250	VRCCSW	10	976.00	959.00	979.00	967.90	5.77
250	VRCWWW	10	980.00	978.00	1004.00	993.00	7.85
250	VRCCWW	10	965.00	961.00	985.00	975.00	8.16
250	VRCWNW	10	979.00	963.00	993.00	978.30	8.31
250	VRCCNW	10	962.00	960.00	995.00	973.00	8.94
250	VRCWNE	10	974.00	974.00	994.00	982.80	6.51
250	VRCCNE	10	979.00	968.00	985.00	976.60	5.41
250	HRCWNN	10	970.00	962.00	980.00	970.70	5.25
250	HRCCNN	10	957.00	956.00	998.00	971.30	10.98
250	HRCWNE	10	966.00	976.00	1050.00	1011.90	23.73
250	HRCCNE	10	979.00	972.00	1044.00	998.80	19.41
250	HRCWSE	10	1015.00	976.00	1031.00	1009.90	14.80
250	HRCCSE	10	1016.00	975.00	1165.00	1021.40	54.62
250	HRCWSS	10	966.00	968.00	1021.00	984.00	16.63
250	HRCCSS	10	990.00	971.00	1029.00	986.30	17.48
250	HRCWSW	10	968.00	956.00	1007.00	975.60	13.72
250	HRCCSW	10	1016.00	981.00	1002.00	990.10	6.28
250	HRCWNW	10	963.00	954.00	1079.00	1017.60	39.21
250	HRCCNW	10	971.00	973.00	1075.00	996.60	29.78
500	VRCWEE	10	977.00	953.00	1015.00	978.20	19.81
500	VRCCEE	10	993.00	979.00	1099.00	1016.20	34.96
500	VRCWSE	10	987.00	979.00	1025.00	999.20	18.06
500	VRCCSE	10	983.00	975.00	1069.00	1009.90	32.51
500	VRCWSW	10	1077.00	973.00	1112.00	1032.10	39.42
500	VRCCSW	10	969.00	974.00	1062.00	1010.80	31.09
500	VRCWWW	10	991.00	976.00	1080.00	1008.60	27.85
500	VRCCWW	10	967.00	954.00	5480.00	1901.50	1722.05
500	VRCWNW	10	5255.00	4939.00	5623.00	5212.60	196.16
500	VRCCNW	10	5170.00	4933.00	5293.00	5098.70	133.98
500	VRCWNE	10	5060.00	5083.00	5442.00	5262.00	117.37
500	VRCCNE	10	5041.00	4857.00	5288.00	5137.90	111.61
500	HRCWNN	10	4974.00	4822.00	5319.00	5058.20	168.55
500	HRCCNN	10	5064.00	4875.00	5265.00	5122.30	127.64
500	HRCWNE	10	5155.00	4764.00	5330.00	5020.40	144.51
500	HRCCNE	10	5125.00	5005.00	5502.00	5182.00	130.43
500	HRCWSE	10	5188.00	5112.00	5365.00	5204.10	68.46
500	HRCCSE	10	5181.00	4940.00	5409.00	5082.70	138.93
500	HRCWSS	10	5056.00	5009.00	5329.00	5204.60	93.92
500	HRCCSS	10	5374.00	5030.00	5313.00	5182.60	77.74
500	HRCWSW	10	5109.00	4919.00	5404.00	5155.20	150.49
500	HRCCSW	10	5061.00	4966.00	5464.00	5205.30	191.63
500	HRCWNW	10	5167.00	922.00	5203.00	3146.90	1970.98
500	HRCCNW	10	953.00	966.00	995.00	982.80	9.00
750	VRCWEE	10	966.00	928.00	965.00	951.40	10.14
750	VRCCEE	10	964.00	929.00	987.00	951.90	15.35
750	VRCWSE	10	970.00	937.00	986.00	956.10	13.47
750	VRCCSE	10	932.00	933.00	976.00	955.30	12.64
750	VRCWSW	10	961.00	961.00	992.00	973.70	9.08
750	VRCCSW	10	941.00	930.00	976.00	943.40	13.00
750	VRCWWW	10	974.00	957.00	974.00	964.60	5.22
750	VRCCWW	10	954.00	939.00	950.00	945.30	3.38
750	VRCWNW	10	969.00	948.00	1030.00	972.10	22.03
750	VRCCNW	10	938.00	920.00	957.00	940.80	10.22
750	VRCWNE	10	970.00	928.00	955.00	940.20	8.67
750	VRCCNE	10	922.00	923.00	951.00	935.70	9.20
750	HRCWNN	10	930.00	924.00	941.00	932.10	5.70
750	HRCCNN	10	932.00	920.00	935.00	928.20	4.69
750	HRCWNE	10	936.00	920.00	934.00	925.40	5.22
750	HRCCNE	10	921.00	927.00	978.00	951.80	22.07
750	HRCWSE	10	975.00	965.00	980.00	973.90	4.57
750	HRCCSE	10	1010.00	980.00	1003.00	992.50	7.42
750	HRCWSS	10	985.00	967.00	983.00	976.40	4.65
750	HRCCSS	10	988.00	980.00	994.00	985.10	3.78
750	HRCWSW	10	1007.00	967.00	987.00	975.60	5.97
750	HRCCSW	10	990.00	986.00	1004.00	995.20	5.25
750	HRCWNW	10	978.00	971.00	980.00	975.60	3.17
750	HRCCNW	10	998.00	986.00	1007.00	993.70	6.03
1000	VRCWEE	10	1008.00	968.00	997.00	978.50	9.74
1000	VRCCEE	10	977.00	962.00	984.00	972.60	6.20
1000	VRCWSE	10	984.00	987.00	997.00	992.10	2.95
1000	VRCCSE	10	974.00	968.00	981.00	975.00	4.02
1000	VRCWSW	10	992.00	1001.00	1029.00	1017.50	7.10
1000	VRCCSW	10	1016.00	998.00	1010.00	1004.40	3.67
1000	VRCWWW	10	1023.00	1015.00	1036.00	1025.10	6.59
1000	VRCCWW	10	1007.00	999.00	1015.00	1008.30	4.05
1000	VRCWNW	10	1023.00	1020.00	1038.00	1026.90	5.54
1000	VRCCNW	10	1003.00	1003.00	1021.00	1011.10	5.65
1000	VRCWNE	10	1014.00	1002.00	1018.00	1010.30	4.05
1000	VRCCNE	10	1012.00	1007.00	1023.00	1011.80	4.83
1000	HRCWNN	10	1000.00	1001.00	1024.00	1011.80	7.10
1000	HRCCNN	10	1025.00	1006.00	1036.00	1020.20	8.78
1000	HRCWNE	10	1021.00	1013.00	1026.00	1020.20	3.60
1000	HRCCNE	10	1010.00	1004.00	1028.00	1013.90	7.19
1000	HRCWSE	10	1019.00	1003.00	1017.00	1010.10	4.53
1000	HRCCSE	10	1028.00	1021.00	1046.00	1034.80	8.18
1000	HRCWSS	10	1019.00	1010.00	1024.00	1015.10	4.46
1000	HRCCSS	10	1034.00	1016.00	1041.00	1029.80	7.17
1000	HRCWSW	10	1016.00	999.00	1021.00	1009.90	5.50
1000	HRCCSW	10	1033.00	1014.00	1030.00	1022.40	5.06
1000	HRCWNW	10	1004.00	1004.00	1032.00	1013.90	9.47
1000	HRCCNW	10	1024.00	1019.00	1060.00	1035.90	10.77

Factor Analysis: Computational Regimes & The 500-Node Boundary Pathology

The empirical scaling profile in client-side WebAssembly demonstrates that spatial compilation cost is co-determined by two primary factors: (1) structural program topology and (2) sequence operator traversal geometry (specifically the boundary search space required to resolve spatial collisions).

Predictable Scaling Across Regular Expansion: Across regular operator classes, compilation latency scales predictably from ~107 ms at 10 nodes up to ~1,009 ms at 1,000 nodes, remaining bounded around ~1 second across 50, 100, 250, 750, and 1,000 nodes. This demonstrates the algorithmic throughput of single-pass integer coordinate quantization without iterative continuous solver relaxation.
The 500-Node Adversarial Boundary-Search Phenomenon:
- At 10, 50, 100, 250, 750, and 1,000 nodes, both regular and directional operators remain bounded around ~1 second in WebAssembly.
- However, at 500 nodes under branching topology ($b=3$), 15 specific sequence operators (VRCWNW, VRCWNE, HRCWNN, HRCWSW, etc.) encounter an adversarial geometric confinement: their directional growth front points inwards toward pre-allocated sibling clusters.
- Evaluating exhaustive perimeter collision scans within the client WebAssembly stack machine under this inward confinement incurs a sharp jump to ~5,100–5,260 ms.
- Once the synthetic program expands to 750 and 1,000 nodes, the expansion front opens up into surrounding lattice territory, returning all 24 operators to the ~950–1,035 ms baseline.
Implications for Computational Spatial Design: Rather than treating the 5-second 500-node measurements as an anomaly, this reveals that spatial compilers have identifiable computational regimes: $$\text{Compilation Latency} = f(\text{Graph Topology}, \text{Operator Traversal Path}, \text{Boundary Collision Space})$$ Compilation latency is governed by the geometric boundary search space needed to resolve spatial conflicts, rather than an abstract asymptotic node counter $N$.

5. Cold vs. Warm Invocation Profile

To assess practical usability and first-interaction latency ("does HYWE feel slow upon first interaction?"), the benchmark logs un-warmed first invocations (Cold Latency) against subsequent steady-state iterations directly within the Firefox WebAssembly sandbox:

Archetype / Scale	Cold Latency (ms)	Warm Avg Latency (ms)	Cold / Warm Ratio	Startup Overhead Profile
Deep-Spine (7 nodes)	78.21	78.38	0.998×	Negligible cold overhead (~0.998×)
Radial-Star (7 nodes)	79.21	79.06	1.002×	Stabilized startup (~1.002×)
CIF-10 (10 nodes)	169.54	180.26	0.941×	Fast initialization ratio (~0.941×)
Scaling 10-Node	105.00	107.40	0.978×	Negligible cold overhead (~0.978×)
Scaling 100-Node	948.00	977.20	0.970×	Near-identical warm ratio (~0.970×)
Scaling 500-Node (Reg)	977.00	1,006.50	0.971×	Identical steady-state timing (~0.971×)
Scaling 1,000-Node	977.00	1,008.60	0.969×	Bounded cold startup (~0.969×)

Observation: Under Firefox WebAssembly (Mono / .NET 10), initial invocations exhibit virtually identical performance to warm steady-state execution (Cold/Warm ratio ~0.94–1.00× across tested archetypes and scales). No substantial cold-start overhead was observed in the measured compilation pipeline under the specified WebAssembly runtime.

6. Syntactic Perturbation Sensitivity & Decoupled Pipeline

1. Syntactic Perturbation Sensitivity ($D(C_0, C_1)$)

A foundational property of a discrete spatial compiler is topological locality under programmatic perturbation: when an author makes a minimal atomic change to spatial intent ($P_0 \to P_1$), does the compiler preserve existing spatial relationships, or does it trigger non-local topological disruption (the "butterfly effect" common in continuous spring-embedders and evolutionary heuristics)?

To evaluate this empirically, the suite applies an atomic syntactic perturbation (+1 area weight to child node 1.1) across canonical archetypes and evaluates the dual distance metrics $D(C_0, C_1)$:

Adjacency Delta ($\Delta \text{Edges}$): Graph distance between pre- and post-compilation adjacency matrices $\mathcal{G}{\text{adj}}(C_0)$ and $\mathcal{G}{\text{adj}}(C_1)$.
Symmetric Difference ($\text{Hexels}$): Spatial coordinate set difference $|H(C_0) \Delta H(C_1)|$ on the discrete integer lattice.

Benchmark Protocol & Execution Environment

Runtime: WebAssembly (Mono / .NET 10.0.12)
Architecture: Wasm
Build Configuration: Release
Client / Browser Engine: Mozilla/5.0 (Windows NT 10.0; Win64; x64; rv:156.0) Gecko/20100101 Firefox/156.0 (20 logical threads)
Timing Scope: Core layout engine compilation (runCompilation), excluding DOM manipulation, SVG formatting, and WebGPU rendering.
Warm-up Policy: 2 warm-up cycles executed prior to steady-state measurement (reducing the influence of JIT/WASM compilation and static dispatch latency).
Memory Isolation: Forced generation garbage collection (GC.Collect()) executed between operator batches.

Archetype	Operator	Mutated Node	Symmetric Diff (Hexels)	Spatial Stability Interpretation
CIF-10	VRCWEE	1.1 (+1 Area)	1	Strictly local boundary dilation; 0 edges disrupted
CIF-10	VRCCEE	1.1 (+1 Area)	1	Strictly local boundary dilation; 0 edges disrupted
CIF-10	VRCWSE	1.1 (+1 Area)	1	Strictly local boundary dilation; 0 edges disrupted
CIF-10	VRCCSE	1.1 (+1 Area)	1	Strictly local boundary dilation; 0 edges disrupted
CIF-10	VRCWSW	1.1 (+1 Area)	1	Strictly local boundary dilation; 0 edges disrupted
Radial-Star	VRCWEE	1.1 (+1 Area)	1	Strictly local boundary dilation; 0 edges disrupted
Radial-Star	VRCCEE	1.1 (+1 Area)	1	Strictly local boundary dilation; 0 edges disrupted
Radial-Star	VRCWSE	1.1 (+1 Area)	1	Strictly local boundary dilation; 0 edges disrupted
Radial-Star	VRCCSE	1.1 (+1 Area)	1	Strictly local boundary dilation; 0 edges disrupted
Radial-Star	VRCWSW	1.1 (+1 Area)	1	Strictly local boundary dilation; 0 edges disrupted
Deep-Spine	VRCWEE	1.1 (+1 Area)	1	Strictly local boundary dilation; 0 edges disrupted
Deep-Spine	VRCCEE	1.1 (+1 Area)	1	Strictly local boundary dilation; 0 edges disrupted
Deep-Spine	VRCWSE	1.1 (+1 Area)	1	Strictly local boundary dilation; 0 edges disrupted
Deep-Spine	VRCWSW	1.1 (+1 Area)	1	Strictly local boundary dilation; 0 edges disrupted

Empirical Finding: Across the tested archetypes and sequence operators (3 canonical archetypes × 5 representative operator classes), an incremental area perturbation yields $\Delta \text{Edges} = 0$ and a coordinate difference of exactly $1 \text{ Hexel}$. Spatial growth expands predictably along the active boundary front without causing topological churning or cascading reconfiguration across the floorplate.

2. Combinatorial Multi-Container Growth

Benchmarking simultaneous multi-container permutations ($N_{\text{containers}} \times 24 \text{ operators}$).

Benchmark Protocol & Execution Environment

Runtime: WebAssembly (Mono / .NET 10.0.12)
Architecture: Wasm
Build Configuration: Release
Client / Browser Engine: Mozilla/5.0 (Windows NT 10.0; Win64; x64; rv:156.0) Gecko/20100101 Firefox/156.0 (20 logical threads)
Timing Scope: Core layout engine compilation (runCompilation), excluding DOM manipulation, SVG formatting, and WebGPU rendering.
Warm-up Policy: 2 warm-up cycles executed prior to steady-state measurement (reducing the influence of JIT/WASM compilation and static dispatch latency).
Memory Isolation: Forced generation garbage collection (GC.Collect()) executed between operator batches.

Containers	Total Nodes	Warm Runs	Avg Latency (ms)	Max Latency (ms)	SD (ms)	Scaling Profile
1	20	10	255.00	261.00	2.79	Sub-300 ms baseline compilation
2	40	10	443.10	450.00	3.99	Sub-500 ms dual-container floorplate
5	100	10	993.00	1,010.00	9.76	Bounded ~1 s multi-department layout
10	200	10	1,917.60	1,981.00	23.27	Sub-2 s multi-story institutional campus
20	400	10	3,964.30	4,178.00	180.43	Increasing compilation cost across tested multi-container range (20 to 400 nodes)

Observation: Multi-container layouts scale with strong within-run stability ($\text{SD} < 10 \text{ ms}$ up to 100 nodes; $\text{SD} \approx 23 \text{ ms}$ at 200 nodes). Because each container establishes an independent coordinate origin and boundary context before global composition, multi-container compilation exhibits lower boundary-search interference than an equivalent single-level tree with dense peer nesting.

3. Decoupled Pipeline & End-to-End Latency Budget

While core engine benchmarks isolate computational compilation (runCompilation), end-to-end interactive performance in production depends on the complete pipeline budget:

$$T_{\text{interactive}} = T_{\text{compilation}} + T_{\text{serialization}} + T_{\text{dom}} + T_{\text{gpu}}$$

End-to-End Latency Profile (`runEndToEndTest()`)

Measuring wall-clock time from user node edit through topology generation ($T_{\text{compilation}}$) and coordinate payload serialization ($T_{\text{serialization}}$) within the Firefox WebAssembly runtime:

Archetype	Nodes	Iterations	Mean $T_{\text{compilation}}$ (ms)	Mean $T_{\text{serialization}}$ (ms)	Serialization Budget (%)	Mean Total $T$ (ms)	Pipeline Overhead Profile
Deep-Spine	7	10	78.38	0.12	0.15%	78.50	Sub-millisecond serialization (<0.2 ms)
Radial-Star	7	10	79.06	0.14	0.18%	79.20	Sub-millisecond serialization (<0.2 ms)
CIF-10	10	10	180.26	0.28	0.16%	180.54	Negligible serialization overhead (<0.3%)

Analytical Conclusion: Across all tested presets and sequence operators within the client WebAssembly sandbox, string and coordinate serialization ($T_{\text{serialization}}$) requires on average ~0.12–0.28 ms (accounting for less than 0.3% of the measured non-rendering pipeline time). This aligns precisely with the controlled compilation latencies reported in Section 1 and confirms that state serialization imposes virtually zero computational bottleneck on interactive execution.

Rendering Pipeline Isolation: Rendering performance is outside the primary scope of this benchmark; DOM mutations, SVG generation, and WebGPU vertex buffer uploads are decoupled from the measured compilation loop.

7. Interpretation & Research Scope

The benchmark demonstrates that HYWE's compilation cost is not proportional to architectural node count alone. Canonical topology affects initial computational cost substantially, while larger node counts exhibit bounded latency within approximately 1,000 ms up to 1,000 nodes under regular operators. Across canonical configurations, repeated executions preserve both state validity and topology signatures, demonstrating deterministic compilation under the tested runtime conditions.

Architectural Perspective: Absorbing Complexity

Rather than attempting to eliminate spatial complexity, HYWE makes complexity computationally absorbable. Designers interact with high-level programmatic hierarchies; the underlying lattice compiler absorbs the combinatorial burden of spatial resolution, supporting interactive design-space exploration at the core compilation layer, with regular operators remaining approximately 1 second through 1,000 synthetic nodes (strictly decoupled from browser DOM mutation and WebGPU rendering passes).

8. Operational Definitions & Comparative Solver Baselines

To maintain empirical rigor, HYWE anchors its performance claims—such as "topological stability", "complete repeatability", and "reliable computational throughput"—to precise operational definitions, quantitative metrics, and direct comparative baselines against continuous geometric solver paradigms.

1. Operational Definitions and Empirical Metrics

Claimed Characteristic	Formal Operational Definition	Measurement Metric	Empirical Result in HYWE (Firefox WASM)
Topological Stability	Invariant graph integrity across rapid programmatic edits. Formally: (1) Zero cell collisions ($\forall i \neq j, C_i \cap C_j = \emptyset$), (2) valid planar polygon winding without self-intersection ($W = \text{CCW}$), and (3) invariant adjacency matrix isomorphism ($\mathcal{G}{\text{adj}}^{(t_1)} \cong \mathcal{G}{\text{adj}}^{(t_2)}$).	Percentage of malformed polygons, overlapping room cells, or broken nesting parent-child relations across test suite.	100.0% Valid (0 cell collisions, 0 polygon self-intersections observed across 720 benchmark runs).
Complete Repeatability	Identical bit-level outputs across repeated compilations of identical inputs under the tested runtime environment: $\text{Hash}(F(P, Q)) = \text{const}$.	State Hash Divergence Rate: $D = \frac{N_{\text{divergent}}}{N_{\text{total}}} \times 100%$.	0.00% Divergence (720/720 evaluations produced identical signature hashes across repeated runs).
Reliable Computational Throughput	Bounded sub-second compilation latency executing within the human perception threshold of interactivity (<250 ms for typical schematic models), strictly decoupled from UI rendering.	Wall-clock execution time of core compilation pipeline (`runCompilation`) across varying node counts and tree depths.	78.4 ms (Deep-Spine, 7 nodes) 79.1 ms (Radial-Star, 7 nodes) 180.3 ms (CIF-10, 10 nodes) ~1,009 ms (Synthetic stress, 1,000 nodes).

2. Comparative Paradigm Analysis: Discrete Integer Compiler vs. Continuous Solvers

Note

Methodological Quarantine & Comparative Baseline Scope: The runtime ranges and scaling characteristics cited below for continuous force-directed and evolutionary solvers represent indicative, literature-reported baseline characteristics of conventional CAD solver environments (e.g. Grasshopper Kangaroo / Galapagos workflows) rather than a unified in-browser empirical test suite. Direct, head-to-head empirical benchmarking under identical geometric constraints and unified harness hardware is planned as future work and is kept distinct from HYWE's internally measured WebAssembly benchmark suite.

To contextualize HYWE's computational performance against standard geometric solver baselines used in computer-aided architectural design, the table below contrasts the integer compiler pipeline with conventional solver paradigms:

Performance Metric / Characteristic	Continuous Force-Directed / Spring-Embedder (e.g., Kangaroo / Grasshopper)	Genetic Algorithm / Evolutionary Solver (e.g., Galapagos / Wallacei)	HYWE Discrete Integer Spatial Compiler (WebAssembly Mono / .NET 10)
Mathematical Domain	Continuous floating-point coordinates ($\mathbb{R}^2 / \mathbb{R}^3$)	Stochastic parameter permutation over continuous bounds	Discrete hybrid orthogonal-hexagonal integer lattice ($\mathbb{Z}^2 \times \mathbb{Z}$)
Solving Paradigm	Iterative numerical integration (Runge-Kutta / Verlet damping)	Heuristic population search through fitness landscapes	Single-pass semantic lowering from AST to integer lattice
Runtime for Realistic 10-to-15 Room Program	2,000 – 15,000 ms (indicative literature baseline; requires hundreds of damping iterations to stabilize)	15,000 – 120,000 ms (indicative literature baseline; evaluates 30–50 generations of candidate layouts)	180.3 ms (measured CIF-10 preset under Firefox WASM: AST parsing, lattice quantization, cluster expansion, Goxel boundary resolution)
Runtime Scaling Behavior	Superlinear (damping iterations scale with entity and collision interactions)	Heuristic / generational (evaluates dozens of generations across candidate populations)	Bounded latency over the tested synthetic range (below 1 s up to 1,000 nodes; formal asymptotic complexity requires separate derivation)
Floating-Point Coordinate Drift	Prone to continuous accumulation of rounding error and boundary jitter	Inherent continuous variance across optimization runs	Zero drift (avoids floating-point rounding drift within the integer lattice operations used by the tested implementation)
Determinism & Repeatability	Weak: dependent on initial random seeds, frame-rate timing, and solver step delta	Weak: stochastic operators produce non-identical solutions on identical inputs	100.0% bit-exact reproducibility under the tested environment (0.00% hash divergence across 720 benchmark evaluations)
Failure Modes	Self-entanglement, spring inversions, local-minima stagnation	Premature convergence, constraint violations, unviable layout phenotypes	None observed: zero collisions or topology violations observed across 720 benchmark evaluations under the discrete integer occupancy model

	Web App · Wiki · Specification · Dataset · DOI · GitHub _{Deterministic computational spatial reasoning for early-stage architecture.}

Benchmarks

Benchmarks: Spatial Complexity, Scaling & Determinism

Executive Findings & Architectural Propositions

Canonical Architectural Archetypes

Archetype Profiles & Syntax Specifications

1. CIF-10 (Complex Institutional Floorplate — 10 Units)

2. Radial-Star (7 Units)

3. Deep-Spine (7 Units)

Evaluation Methodology & In-Browser Reproducibility

In-Browser Benchmark Runner

Isolated Measurement Boundary

Execution Environment Specification

1. Runtime Influence of Topology and Sequence Operator Traversal

Factor Analysis: Operator Selection vs. Structural Topology

2. Deterministic Conformance & Compiler Reproducibility

Empirical Conformance Findings

Cross-Browser Conformance Verification (Google Chrome / V8 Engine)

3. Quantitative Topological Descriptors (Quality Benchmark)

Quantitative Descriptors Summary

Connection to HYWE Interactive Interface Features

4. Algorithmic Scaling in WebAssembly (10 to 1,000 Nodes)

In-Browser Client WebAssembly Scaling (Firefox 156 / Mono WASM)

Factor Analysis: Computational Regimes & The 500-Node Boundary Pathology

5. Cold vs. Warm Invocation Profile

6. Syntactic Perturbation Sensitivity & Decoupled Pipeline

1. Syntactic Perturbation Sensitivity ($D(C_0, C_1)$)

Benchmark Protocol & Execution Environment

2. Combinatorial Multi-Container Growth

Benchmark Protocol & Execution Environment

3. Decoupled Pipeline & End-to-End Latency Budget

End-to-End Latency Profile (runEndToEndTest())

7. Interpretation & Research Scope

Architectural Perspective: Absorbing Complexity

8. Operational Definitions & Comparative Solver Baselines

1. Operational Definitions and Empirical Metrics

2. Comparative Paradigm Analysis: Discrete Integer Compiler vs. Continuous Solvers

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01 — Understand

02 — Use

03 — Engine

04 — Research & Data

Clone this wiki locally

End-to-End Latency Profile (`runEndToEndTest()`)