reuse-safe

At its defaults it draws one sketch reused across 20 independent matrices, against a fresh sketch for each. The matrices are drawn from the same construction with different seeds, so none of them can depend on the sketch. This is the case the randomised bounds were written for, and the two rows of points are the answer: mean error 0.36184 with one sketch kept and 0.35789 with 20 fresh ones, a difference of 0.00396 against a standard error of 0.00508. The rule is therefore not that a sketch must be redrawn — it is that the randomness is spent the moment the input starts depending on it.

reuse-safe is one function in lib/figures/sketchreuse.js — spent randomness — the sketch whose second use sees nothing at all. Everything below came out of it during this build, at arguments taken from the essays rather than invented for this page. A figure here is the figure a reader meets in an essay, and if the generator changes, this page changes with it.

The matrices are drawn from the same construction with different seeds, so none of them can depend on the sketch. This is the case the randomised bounds were written for, and the two rows of points are the answer: mean error 0.36184 with one sketch kept and 0.35789 with 20 fresh ones, a difference of 0.00396 against a standard error of 0.00508. The rule is therefore not that a sketch must be redrawn — it is that the randomness is spent the moment the input starts depending on it.

The matrices are drawn from the same construction with different seeds, so none of them can depend on the sketch. This is the case the randomised bounds were written for, and the two rows of points are the answer: mean error 0.36184 with one sketch kept and 0.35789 with 20 fresh ones, a difference of 0.00396 against a standard error of 0.00508. The rule is therefore not that a sketch must be redrawn — it is that the randomness is spent the moment the input starts depending on it.

The matrices are drawn from the same construction with different seeds, so none of them can depend on the sketch. This is the case the randomised bounds were written for, and the two rows of points are the answer: mean error 0.36090 with one sketch kept and 0.35638 with 40 fresh ones, a difference of 0.00452 against a standard error of 0.00342. The rule is therefore not that a sketch must be redrawn — it is that the randomness is spent the moment the input starts depending on it.

Every figure above asserted its own claims on the way to being drawn, and a claim that failed would have failed the build rather than drawn a wrong picture. Those assertions used to leave no trace at all: a passing one returned true and the only evidence the figure had checked anything was that nothing crashed. The list below is what they actually said, collected by running this generator with an observer installed — not a description of what it is believed to check.

6 distinct claims across 3 sets of arguments, grouped below by shape — because most of them are one sentence with a different number in it, and how many separate times that sentence was put to the test is the informative part.

The rule does not apply to it. It factorises nothing, so there is no residual it could be withholding. That is worth stating rather than leaving blank: a site that reported the rule as satisfied by every generator would be counting mostly generators the rule never reached.

Across the library: the rule bites on 113 of 238 generators — 98 print a residual and 15 are exempt with a published reason; 125 factorise nothing. Read from lib/residual-rule.js, which is the same body the gate enforces from, and the gate's last check fails the build if this page and it disagree about any generator.