Library Equations

Expression Tree

A probabilistic grammar grows the expression; you get the tree it grew from too.

equations.expression · v1 · renderer math

1. x*8*x - 4 → x = -1 → 4 2. sin(x + x)/(-3/x)^2 → x = 1 → 0.101033 3. (sin(2) - x)x^(-2) → x = -1 → 1.909297

entropy in

16 bytes

stream used

412 bytes

rejections

duration

1,279 µs

problems

mean nodes

8.30

deepest

Seed receipt

Class A · Cryptographic degraded

Drawn from the kernel entropy pool on the server that rendered this page. (The source you picked was unreachable, so we fell back to the kernel.)

source: Operating System CSPRNG
observed: 2026-09-13T18:44:09+00:00
latency: 1509ms
mixed with: nothing — this source stands alone

This source publishes no per-draw proof URL.

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The token is the seed, so this link recomputes the result rather than looking it up. No database, and it works for as long as v1 does.

Controls · from schema()

Maximum depth

1 6

A hard cut. Expressions usually stop short of it.

Function set

Variables

0 3

Zero makes every expression a closed number.

Allow π and e

Evaluate it

How many

1 40

Entropy source

Picking a source changes the story on the receipt, never the quality: anything below class A is mixed with the OS CSPRNG before it reaches you. This result actually came from Operating System CSPRNG.

seed token 1P29WGKSZZJVKPNC70C4WYK9EC

Re-render keeps this token. Generate replaces it. That is the whole idea.

Printable worksheet 20 problems · answers on page 2

The seed is printed in the footer, so the same sheet comes back from the same link — and a different seed is a different sheet.

This page and /api/v1/g/equations.expression run the same code. There is no private endpoint.

Expression Tree

Result

Measurements

Seed receipt

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