MCP of Borisov geometry.

https://github.com/UserPC-SPB/Opterium/tree/v3.1-clean/geoformer # Cube v5 — FINAL BENCHMARK & TEST REPORT

Binary: cube_v5.exe (22.82 MB)

Platform: Windows 10, Python 3.11

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Metric	Value
Total tests	118
Passed	115/118 (97.5%)
Cold start (median)	289.4 ms
Persistent latency (median)	~50-70 us
Throughput (peak)	15,882 req/s
Tools	71
Binary size	22.82 MB

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Tool	Latency (ms)	Status
tools/list	392.5	71 tools
cubint_add(3,4)	286.7	result=7
cubint_mul(7,8)	286.7	result=56
cubfloat_add(0.1,0.2)	~290	0.3
cubcomplex_add(1+2i,3+4i)	287.8	re=4,im=6
e8(1)	298.8	8D vector
e8_get_root(0)	300.0	[2,2,0,0,0,0,0,0]
e8_duality_check(1)	286.3	56 partners
vec_sum([1,2,3])	318.7	ok
doctor(12)	306.6	factors
help(en)	291.5	>200 chars

Median cold start: ~289 ms

Category	Avg	Median	P95	Min	Max	N
cubfloat	0.070ms	0.067ms	0.090ms	0.044ms	0.090ms	6
cubcomplex	-	0.046ms	-	0.046ms	-	7
vector	-	0.044ms	-	0.042ms	-	19
spatial	-	0.043ms	-	0.042ms	-	6
e8	-	0.074ms	-	0.042ms	-	15
cubint	-	0.119ms	-	0.068ms	-	23
doctor	-	0.086ms	-	-	-	-

Persistent mode: 43-119 us — 3 orders of magnitude faster than cold start.

Test	N	Total (ms)	Avg (ms)	Req/s	OK
cubint_mul x50	50	3.1	0.050	15,882	50/50
cubint_add x200	200	14.3	0.059	13,935	200/200
e8 x50	50	3.6	0.059	13,809	50/50
vec_sum x100	100	7.9	0.059	12,658	100/100
e8_batch x50	50	5.0	0.080	9,989	50/50
doctor x100	100	10.4	0.088	9,627	100/100

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Feature	Cube v5	Wolfram Alpha	SymPy	SageMath	NumPy	mpmath
Delivery	.exe (1 file)	API (cloud)	pip (lib)	pip (lib)	pip (lib)	pip (lib)
Size	~23 MB	-	~50 MB	~1-2 GB	~30 MB	~5 MB
MCP protocol	YES stdio	NO	NO	NO	NO	NO
Tools	71	10,000+	200+	500+	100+	50+
Non-standard arith	YES (witness)	NO	NO	NO	NO	NO
E8-algebra (240)	YES full	partial	NO	YES	NO	NO
Float precision	Fixed-point	Arbitrary	Rational	Arbitrary	IEEE 754	Arbitrary
Complex numbers	YES	YES	YES	YES	YES	YES
Vector ops	19 tools	YES	YES	YES	YES (opt)	YES
3D space	YES (6)	YES	NO	NO	NO	NO
Doctor	YES	NO	Partial	NO	NO	NO
GPU accel	NO	YES	NO	YES	YES (BLAS)	NO
Symbolic	NO	YES	YES	YES	NO	YES
Matrices	NO	YES	YES	YES	YES (BLAS)	Partial
Trigonometry	NO	YES	YES	YES	YES (ufunc)	YES
LLM integration	YES native	via API	no	no	no	no
Offline/private	YES	NO	YES	YES	YES	YES
Price	FREE	FREE	FREE	FREE	FREE	FREE
Throughput	~14K req/s	~100 req/s (API)	~10K (lib)	~1K	~100K (BLAS)	~5K

Unique advantages of Cube v5:

1. Only MCP-native math server — Wolfram Alpha has no MCP, SymPy/SageMath are libraries
2. Non-standard arithmetic — Pythagorean table with witness, unique math without analogues
3. Zero-dependency — single exe, no installation required
4. Offline-first — all computation local, no internet access

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#	Advantage	Description
1	MCP-native	Only math MCP server with 71 tools. One config line to integrate with LM Studio/Cline/Claude
2	Non-standard arithmetic	Pythagorean table with witness — unique math not found in any other tool
3	E8-algebra	Full work with 240 E8 roots: Weyl group, duality, spectrum, triangle geometry — MCP exclusive
4	Zero-dependency	Single .exe file. No Python, pip, venv, CUDA. Works on any Windows without installation
5	Instant start	Cold start ~289 ms. Persistent mode: requests in microseconds (~50 us)
6	CubFloat	Fixed-point arithmetic — no IEEE 754 rounding errors (0.1 + 0.2 = 0.3)
7	CubComplex	Exact complex arithmetic: add, sub, mul, pow, conjugate, abs, neg
8	Vector (19)	Full vector operations: arithmetic, stats, normalize, clip, sort, unique
9	Spatial (6)	3D space: placement, movement, gravity alignment, distance calculations
10	Doctor	Factorization, divisors, primality testing — number diagnostics
11	Deterministic random	Seed-based RNG — reproducible results
12	Multilingual	Help in 4 languages: EN, RU, ZH, DE
13	Offline/privacy	All computation local. No data sent to cloud
14	Throughput ~14K req/s	Persistent mode: ~0.05ms per request, 10K+ requests per second

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#	Drawback	Description	Impact
1	No GPU	All computation on CPU. No CUDA/Metal	Medium for E8 batch 10K+
2	N <= 100 for witness	Domain limitation for witness arithmetic	Limits scale
3	No symbolic computation	Numerical only. No symbolic differentiation/integration	No calculus
4	No matrix operations	No det, eig, LU, QR, matrix multiplication	Key gap for science
5	No trigonometry	sin, cos, tan, atan missing	Limits physics/engineering
6	No stat distributions	No normal, Poisson, chi-squared	Basic stats only
7	Single-threaded	One thread. Doesn't utilize all CPU cores
8	Windows-only	.exe file — no Linux/macOS version
9	No PyPI package	No pip install. Manual download required
10	Closed-source format	Binary cannot be modified without rebuild
11	RSA factorization, matrix multiplications, quantum geometry	are removed for security against criminal and military use

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Segment 2: Agent Systems (Cline, Claude Code, Codex) 4/5

• LLM agents need accurate computation — LLMs compute poorly
• Cube v5 provides 71 tools without external APIs or internet
• Built-in diagnostic tools (doctor, witness) help LLMs understand numbers

Segment 3: Education / Science 3/5

• Group theory, E8-algebra, Pythagorean table — educational topics
• Doctor diagnostics — good teaching tool
• But: no symbolic computation, loses to SymPy/SageMath for education

Segment 4: Finance 3/5

• Fixed-point arithmetic useful for financial computations
• Witness structure can be used for pattern analysis
• Vector statistics for time series

Cube v5 is a unique MCP server with 71 math tools, having no direct analogues in the MCP ecosystem.

Key strengths:

• First free math MCP server — no competitors in niche
• Non-standard arithmetic — completely unique math model
• E8-algebra — exclusive functionality for LLM tools
• ~14,000 req/s in persistent mode — sufficient for real-time
• ~289 ms cold start — fast startup
• 22.82 MB — compact standalone exe with no dependencies Key opportunities: Growing MCP market, LLM agent integration, educational potential.