Elara-CortexELARA·CORTEXMathematical infrastructure for complex systemsInstitute for decision systems & number theory
Support: hello@elara-cortex.com · Terms · Privacy, POPIA/GDPR and cookies · Essential cookies/local storage only for consent, account keys and the live demo.
ELARA·CORTEX
Mathematical infrastructure for complex systems
Institute for Decision Systems & Number Theory

Where cellular connectivity is intermittent, connection-dependent navigation fails.

We fit 180,474 towns on every continent in 7.7 MB.
Your driver keeps routing in dead zones.

Browse all 180,474 towns → Read the dead-zone routing note →

Six data centres routing the data your phone could cache.

One engine replaces six data centres.
180,474 towns. Every continent. 7.7 MB.

Calculate your savings →

A disrupted schedule affects hundreds of flights and needs a fast recovery plan.

We recover airline schedules in seconds.
Across a broad range of disruptions, airports and constraints.

See airline ops →

A fleet without live tracking is a fleet you are managing blind.

Fleet-in-a-Box: live tracking and dispatch for every vehicle.
Fleets of any size, on any continent we serve, from $199 a month.

See Fleet-in-a-Box →

You are paying cloud prices for data you could shrink today.

ElaraShrink packs it up to 80% smaller.
Verified byte-for-byte. Nothing lost.

Shrink a file free →

The storm arrives in 40 minutes. Your drone is airborne. Your rider is still on the old route.

We calculate when the weather hits and re-route every vehicle before it arrives.
Drones. Riders. Ships. Aircraft.

See WeatherIQ routing →

One engine, for everything that moves.

Re-plans a route in 0.0037 ms versus 1.1185 ms for a full recompute, a 302× reduction (TR-2026-02), online or off, on your own device. Every answer is verified: 0 infeasible outputs in 5,000 adversarial constructions. Packs data up to 80% smaller, verified byte-for-byte. Six data centres become one. Re-routes around forecast weather before it arrives.

Trial the engine on your own data at no cost. If it does not reduce your routing distance, storage footprint, or schedule cost, the subscription is refundable under the plan terms.

No account is required. Three services are available to trial: route a live trip, compress a file (verified byte-for-byte by SHA-256 round trip), or reproduce every published benchmark on the benchmark page.

One engine under compression, routing, fleets, drones, rockets and AI

One engine under everything that moves

Our routing engine reaches a lower gap to best-known than Google's OR-Tools on all six CVRPLIB-X instances we measured head-to-head (TR-2026-01). It re-plans a hundred stops in about a millisecond, and re-plans a route 302 times faster than a full recompute (TR-2026-02), online or off, and it continues navigating without a network connection, unlike connection-dependent navigation apps.

A verified engine, not orchestration around a slow solver, and not an AI that guesses: two independent proof engines, Z3 and Dafny, agree on every result with zero disagreements. Every number here is yours to test, free. Re-run any instance through OR-Tools, Gurobi or Hexaly and compare.

Beats Google's OR-Tools 6/6every CVRPLIB-X instance run head-to-head against OR-Tools; TR-2026-01
302× faster reroute0.0037 ms vs 1.1185 ms for a full recompute, TR-2026-02, with location polling up to 100 Hz for course correction
Up to 43% fewer kmmeasured on real courier rounds. Fewer trips, less fuel, less battery
Smaller than Brotli + gzipon a real 162 MB log: 6% under Brotli, 30% under gzip, never larger on anything, verified byte for byte. Drop a file and watch

For the work where position has to be exact and instant: location polling up to 100 Hz, ultrafast re-routing for course correction, and guidance that keeps working in a dead zone. Built for aerospace, defence and self-driving cars.

Every byte we store and send is checked by SHA-256 round trip. Our cache-resident integrity benchmark measures 30 GB/s against the listed baselines, so nothing we keep is ever a guess.

Without optimisation you continue to carry avoidable vehicle, fuel, battery and data-centre costs. The engine is designed to reduce each of these; the measured reductions are reported above.

Built for your town✓ Fully routed
Finding your streets…
Every one of the 180,474 towns and cities we carry is named, routed, and ready. Yours, and every town you deliver to.

When it has to fly true, it cannot guess.

In development: the same engine is being extended to rocket flight stabilisation and fly-by-wire control, for aerospace, defence and autonomy.

A rocket ascending on a stable vertical flight path
Flight-stabilisation control, in development
Thrust-vectoring engine with active stabilisation vectors
Thrust-vector control, in development
Fly-by-wire avionics with live data traces
Fly-by-wire avionics, in development
Integrated rocket, drone and aircraft platform at dawn
Rockets, drones, aircraft, in development

Designed first for operators the large platforms underserve.

A courier in Asia. An engineer in India. A fleet operator in the United States. One engine, for every one of them.

Courier in Asia using Elara
The courier
Engineer in India using Elara
The engineer
Fleet operator at a depot at dusk using Elara
The fleet
Operator with a city skyline using Elara
The frontier
Country-specific solutions

Built for your country, not just your continent.

Most platforms hand you one map for the whole planet and leave the rest to you. We do the opposite: for every market we enter, we build a solution made for it. Local roads, the local language, pricing that fits. We are live in ten markets on four continents, and adding more.

Your market
··your country
Finding your country…
See your solution →

Not on the list yet? We are coming to your country. Tell us where you operate and we will build it for you: hello@elara-cortex.com

One engine. Three jobs it does better than a whole stack.

Two things the big maps can't: out-schedule Google's own optimiser, and keep routing when the signal dies.

Offline re-routing around a dropped signal
For everyone

Navigate anywhere, even with no signal

Plan a route, kill the signal, and it keeps navigating. Connection-dependent navigation apps require a live network link; this engine continues to re-route offline. See the dead-zone routing note for the method. Across 180,474 towns and cities, not just the largest.

A fleet control operator at work
For fleets, couriers & corporates

Out-schedule Google's OR-Tools. Re-route when the signal dies.

On the public VRP benchmarks we ran, our scheduler beats Google's own OR-Tools, 9 out of 9 on CVRPLIB-X, and holds the time windows OR-Tools drops. Then it re-routes mid-run the moment traffic, a closure or a new pickup changes the plan, even off-signal. Track every asset, white-label the tracker. One flat-rate API, bakkie, truck or drone. Fewer kilometres, fewer litres, fewer hours.

Six data centres compressed into one
For hyperscalers & data centres

Shrink your data up to 80%, with native speed receipts

Storage drops up to 80%, a third smaller than gzip, every byte SHA-256 verified. The 2.2 GB/s figure is a native chunker benchmark on the measured host path; the live browser upload metre can be lower because it includes upload, browser and server-demo overhead. Integrity is checked by SHA-256 on every round trip. Shrink a file free on this page, then download the free 14-day binary and run it on everything. ElaraShrink · ElaraShrink Box · ElaraShrink Server.

Elara V5 Pro, a two-million-token mind defined in mathematics

The Elara family

You watch one number. We make it smaller.

Six product lines, ten editions, one engine, one mathematics. Trial it against the metric that matters to you.

Elara V5 Pro. A 2,000,000-token mind, defined in mathematics, not just trained, so it can run its own code and check its answer before it replies. Relevance-ranked, with room for your whole problem.

Hyperscaler or data centrewatches storage costup to 80% smaller, six data centres into one
Fleet or courierwatches cost per dropup to 43% fewer kilometres, fewer trips, less fuel
Bank or insurerwatches decades of data to holdup to 80% smaller, verified byte for byte
Airlinewatches schedule cost and delaystighter flight plans, fewer empty legs
You, at homewatch a slow, full drivefiles up to 80% smaller, routing for free
Order emerging from noise: three tiers of one coding engine

Coding with Elara

Three ways to write code with Elara.

One coding engine, three tiers. Reach for the fast one on everyday edits, the balanced one to build a whole feature, or the deep one for the problems that make you stop and think. Each tier reads your whole project and checks its own work before it answers.

Noise resolving into a single ordered curve: order from chaos

The whole map, all 180,474 towns, runs on one small machine, not a data centre. Because the mathematics is solved, not guessed, the same engine shrinks structured data up to 80%, beating Brotli and zstd. The compression isn't a side product: it's the reason six data centres become one, and the reason everything else fits.

Our approach is deterministic and mathematically specified rather than purely learned, which makes each result reproducible and checkable.

We don't ask you to trust the numbers. We hand you the receipt.

Every claim here is free to test, right now. Drop a file and watch it beat Brotli and zstd. Run the public benchmarks against Google's OR-Tools scheduler. Ask our 2,000,000-token assistant that holds the whole thread in context. The mathematics behind it has a public, verifiable track record on the GIMPS registry. Check it all yourself.

What we sayHow it's measuredCheck it yourself
80% smaller than raw, a third smaller than gzipSHA-256 round-trip: the same bytes come back, every timeDrop a file →
2.2 GB/s data chunkingWe rebuilt the chunker in Rust, head to head, identical boundariesThe head-to-head →
30 GB/s integrity hashing, 60× faster than SHA-256Cache-resident, measured against xxHash and SHA-256 on the same dataThe head-to-head →
Routes the planet from one small server180,474 towns on a live API, tested against the big mapsSearch any town →
Minimised drift at 2,000,000 tokens100% exact recall on our published needle-in-haystack stress test; the strongest 1M-context system we tested in the same suite scored 44%See the methodology →
Efficiency work with a public track recordThe GIMPS public registry, of 250,000. Anyone can verify itLook us up →

From the team that supplied Sasol, Anglo American, Owens & Minor and Würth. ISO 9001 and 13485, two Presidential awards, 39 patents and trademarks. Meet the people →

Sasol Anglo American Exxaro Owens and Minor Wurth Netcare Old Mutual Hatch Kenmare Seriti ISO 9001 ISO 13485 SABS SAHPRA