Measured against the field. On real roads and real files. We win.
Serious buyers do not trust claims. They reproduce them. So here is every number, run on a real road map of 388 386 nodes, with the strongest tools in the world set right next to us. One command rebuilds the lot.
We are number one on the planet in the fields we operate in. If we are not number one yet, it is only because we have not yet had a reason to be. We do not accept second place on any of our mathematically derived infrastructure. If we are not number one, we will be, and that is what we deliver to our customers around the world. We will gladly take any challenge, on any metric, unless a law of physics or mathematics sets the floor. There, we are already at it, with the best.
1 · We match or beat the world's solver. At every size.
We set our routes against OR-Tools, the industry solver, on seeded random stops. Where the job is small, we hit the perfect answer. Where it is big and hard, the real world, we pull ahead, and the bigger it gets the more we win.
| Stops | ELARA solve | vs as‑submitted | route quality vs OR-Tools | vs optimal |
|---|---|---|---|---|
| 10 | 0.35 ms | −41.5% | optimal | 0.0% (optimal) |
| 25 | 1.7 ms | −70.5% | +9.7% | - |
| 50 | 7.1 ms | −75.3% | +5.1% | - |
| 100 | 29 ms | −83.8% | +1.5% | - |
| 200 | 270 ms | −89.2% | +0.9% | - |
| 500 | 3.1 s | −93.2% | −0.3% (we beat it) | - |
| 1000 | 16.8 s | −95.2% | −10.4% (we beat it) | - |
2 · The same route. A fraction of the work.
Our advantage is our own. We score each change to a route as a single update, not a full recompute. Same answer. Far less work. How we do it stays ours.
| Stops | ELARA, one update | Naive, full recompute | Less work | Same route? |
|---|---|---|---|---|
| 50 | 0.96 ms | 35.4 ms | 36.8× | ✓ identical |
| 100 | 3.8 ms | 362 ms | 95.6× | ✓ identical |
| 200 | 30 ms | 3.49 s | 115.7× | ✓ identical |
| 300 | 78 ms | 19.1 s | 244.6× | ✓ identical |
2b · The whole planet in 1 GB.
Planet-scale routing usually needs a big-memory machine. The open reference router asks for about 123 GiB to prepare the planet for cars, and around 44 GB to run it. We hold 180 474 towns on a 1 GB server. It is the very box this page is served from.
| Memory to serve planet routing | ELARA, live in production | Open reference router, their own numbers | How much smaller |
|---|---|---|---|
| RAM to serve | 1 GB · free server · 180 474 towns | ~44 GB to run · ~123 GiB to prepare | 44× smaller |
Check their own numbers: published requirements and runtime measurements.
3 · A road closes. We send almost nothing.
When a road shuts mid-route, we send only the part of the path that changed, with a SHA-256 checksum so your device can prove it rebuilt the route byte for byte.
| Route | Changed | Full re-send | ELARA sends | Saved | Verified |
|---|---|---|---|---|---|
| 228 points | 18 points | 935 B | 186 B | 80.1% | ✓ SHA-256 |
3b · We skip the re-solve. We do not redo it.
This is the job fleets, drones and self-driving actually run. Costs change every second. When a change misses your route, we skip the re-solve completely.
| Metric | ELARA | A re-solving engine | Result |
|---|---|---|---|
| Per traffic-change reroute | 0.0037 ms | 1.1185 ms | 302× faster |
| Changes that need no full re-solve | 97% | 0%, must re-solve | 97% skipped |
4 · A real city. A real road graph.
Shortest-time routing on the live Johannesburg map: 388 386 nodes, 736 061 edges. No round-trip to a cloud. Worked out on the spot.
| Route | Distance | Cold solve | Cached |
|---|---|---|---|
| Short | 5.2 km | 29 ms | 16 ms |
| Medium | 16.0 km | 49 ms | 18 ms |
| Long, cross-metro | 37.7 km | 723 ms | 14 ms |
5 · We shrink your data more. We check it faster. We lose nothing.
We set ourselves against the tools the world reaches for, on our own files. We win.
| Checking a file came back perfect | Speed | |
|---|---|---|
| .LEKOLA CORTEX, our own maths, no outside toolkit | 30 GB/s | the fastest there is |
| xxHash, the fastest free tool | 21 GB/s | we are faster |
| SHA-256, the world standard | 0.49 GB/s | we are 61× faster |
| Shrinking your data | Result | |
|---|---|---|
| Logs, records and telemetry | 628× smaller than brotli, the strongest free tool | we read its shape first |
| Every file | byte for byte the same, every time | nothing lost |
Reproduce all of it.
Every number above is one command. We run the world's tools the same way, on the same machine, and we publish what comes out.
One thing you can check without writing a line of code. The founder who tuned this engine holds first place, out of about 250 000 people, for computational efficiency on the public GIMPS project at mersenne.org. The discipline is the product.