Story 1 · expensive simulations

Spend solves like money

You have a design space — say, two knobs on a component — and each evaluation of a design is an expensive simulation. You can't afford the full sweep. Where do you spend your solves?

Level 1 — you place the solves

Click (or tap) up to 12 points in the design space below. The heatmap then reveals where your reconstruction of the system's numbers is still wrong. The ridge you'll probably miss is where two of the system's numbers nearly collide — precisely where behaviour changes fastest.

0
solves spent
—
worst remaining error

Level 2 — the adaptive method places them

Now watch the greedy algorithm from the research: each step, it asks a cheap error indicator "where am I most wrong?", solves there, and updates. Shaded regions are certified: the indicator bounds the error below the target, so no further solve is spent on them.

0
solves spent
—
worst remaining error
0%
of design space certified
The point is not that the algorithm beats your intuition on a toy — it's that it does this in six-dimensional design spaces, where intuition has no picture to look at, and returns a certificate instead of a hope.