Queue
Everything the checkers do goes through one queue, and this is it. Nothing here is a simulation — these are the jobs on the box right now.
Running
Idle. A job submitted now starts immediately.
Waiting — 0 priority, 0 free
Nothing waiting.
The fast lane, and what it is not
One Lean job runs at a time — Mathlib is memory-hungry and this box is shared — so when several people submit at once, there is a line.
Any account holding prepaid credit is served first. That is the whole mechanism; there is no separate product to buy. A free run is never blocked, throttled or degraded by it — only overtaken — and it still runs, in order, in the free lane.
The reason it works this way: the people funding the machine are paying for the checks everyone else gets for nothing. Skipping the line is the only thing that buys, and it buys nothing else.
Just finished
| Tool | Result | Took | For |
|---|---|---|---|
python |
ran | 3.8 s | Au's Conjecture 3.4(a) holds: \sum_N\dim V_N(S_1)\,t^N=\frac{1}{(1-t)^3(1-t^2)^2}-\frac{t^2}{1-t} for the Example II WZ seed |
python |
ran | 1.3 s | Au's Conjecture 3.4(a) holds: \sum_N\dim V_N(S_1)\,t^N=\frac{1}{(1-t)^3(1-t^2)^2}-\frac{t^2}{1-t} for the Example II WZ seed |
python |
ran | 23.3 s | A very-well-poised 7F6 equal to 9Γ(1/3)⁹/64π⁶, via an absolutely convergent Mellin bridge |
python |
ran | 83 ms | A very-well-poised 7F6 equal to 9Γ(1/3)⁹/64π⁶, via an absolutely convergent Mellin bridge |
pari |
ran | 524 ms | A very-well-poised 7F6 equal to 9Γ(1/3)⁹/64π⁶, via an absolutely convergent Mellin bridge |
pari |
ran | 135 ms | \int_0^1\kappa(x)^2[x(1-x)]^{-2/3}\,dx=\frac{5\sqrt3\,\Gamma(1/3)^9}{2^{11/3}\pi^5}, via the CM newform \eta(3\tau)^8 |
lean |
proved | 9.2 s | a comment |
lean |
proved | 15.9 s | a comment |
python |
ran | 28 ms | a comment |
lean |
refuted | 18.9 s | Wrong proof test: 1 + 1 = 3 |
lean |
proved | 30.1 s | Simple verification test: 1 + 1 = 2 |
lean |
proved | 8.4 s | A simple proof, hope it works |
How long each checker usually takes here
Measured from this box's last 20 runs of each tool, not estimated.
| Tool | Typical |
|---|---|
lean | 13.7 s |
sage | 15.0 s |
pari | 329 ms |
smt | 22.5 s |
python | 3.2 s |
oeis | 7.5 s |
plot | 15.0 s |