PPolySim OS
Launch Studio

Symbolic Math (CAS)

Type any function and get its exact derivative, a simplified form, numeric roots, and a live plot of both the function and its derivative — a real computer-algebra engine, in your browser.

Symbolic Math (CAS) StudioLive

Controls

simplified: sin(x)*exp(-x/6)
d/dx: cos(x)*exp(-x/6) + sin(x)*exp(-x/6)*-0.166667
∫ dx: no elementary antiderivative
▶ Run in Python

Data Inspector

Parsed✓ valid
Root in [-10,10]0.0000
Functionssin cos tan exp ln √ …
Reading this result: f crosses zero near x = 0.00: that root is exactly where the cyan f(x) curve meets the x-axis, and where its slope f'(x) tells you how sharply it passes through.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

or unlock everything with Pro →
★ Sign in to save this setup
Save your tuned setup, or drop this simulation into your own site, docs, or course page.

How it works

This is a genuine computer-algebra system: a tokenizer and Pratt parser build an expression tree, symbolic differentiation applies the product, quotient, and chain rules, and an algebraic simplifier reduces the result to a fixed point. Roots are found numerically by bisection, and the plot samples the compiled expression across the domain. No server round-trips — the algebra runs entirely on your device.

✦

Ask the AI about this model

The math, the assumptions, real-world uses, or a code translation — explained for this exact simulation.

More Math simulations

Vector FieldsNotebookFractal ExplorerFourier SeriesFunction Grapher3D Surface PlotterMatrix CalculatorTaylor Series

Frequently asked questions

Is this symbolic math tool really free?▾
Yes. Symbolic Math (CAS) runs entirely in your browser using your device's own compute, so local use is free forever. You only pay Compute Tokens if you scale a job to the cloud.
Do I need to install anything?▾
No. Everything runs client-side in a modern browser — no downloads, no license, no account required to start.
Can I save or share my simulation?▾
Create a free account to save projects, and use a shareable embed or minted DOI to publish a live, interactive version anywhere.
How accurate are the results?▾
The solver uses established numerical methods, but results are for research and educational purposes and should be validated against experiment or professional review before you rely on them.