Expression Simplifier

The simplifier combines like terms such as 2x + 3y - x + y into x + 4 * y, folds numeric constants, turns x * x into x ^ 2, cancels x / x to 1 and keeps rational coefficients as exact fractions. It applies the mathjs simplification rules repeatedly until nothing changes. The result is mathematically equivalent to the input.

No, products and powers such as (x + 1)^2 are kept as they are, and polynomials are not factored, so (x^2 - 1) / (x - 1) is not reduced to x + 1. The mathjs rules focus on combining and cancelling, not on expanding. This keeps results compact for long expressions.

No, identities such as sin(x)^2 + cos(x)^2 = 1 are not part of the rule set, so such terms are left unchanged. Functions of constants are evaluated, so log(e) becomes 1. Functions of variables are kept symbolically.

mathjs evaluates functions whose arguments are all numbers, so sqrt(8) becomes 2.8284271247461903 instead of 2√2. Plain arithmetic on numbers stays exact, so 2/4 + 1/4 becomes 3/4. Radicals of plain numbers are therefore shown as decimals, while radicals of variables such as sqrt(x) stay symbolic.

Use ^ for powers, * or a space for multiplication, / for division and parentheses for grouping, for example 3x^2 + 2x - x^2 / 2. Variable names start with a letter and may contain digits and underscores. Note that xy is a single variable named xy, so write x*y for a product.

When the simplified expression contains no variables, the tool also evaluates it and shows the decimal value rounded to your chosen precision. For 2/4 + 1/4 that is 0.75. Expressions with variables only show the symbolic result.

The LaTeX row contains the simplified expression as LaTeX code, ready to paste into a paper, a slide or a Markdown editor with math rendering. It is generated by mathjs from the same result. Fractions are written with \frac.

Trigonometric, inverse and hyperbolic functions, sqrt, cbrt, exp, log, log10, log2, abs, round, floor, ceil, factorial and other scientific functions are allowed, together with the constants pi, e, tau, phi and i. Names of built-in functions cannot be used as variables. Unknown functions are rejected with their name.

Yes, the expression is parsed and checked against an allowlist before anything runs. Assignments, function definitions, strings, ranges, indexing and functions such as import, evaluate and parse are rejected, following the mathjs security guidance. The work runs in an isolated worker with a 3 second time limit.

Expressions can be up to 2000 characters and at most 64 levels deep. Very long expressions can take mathjs a long time to simplify, so a calculation that exceeds 3 seconds stops with a message asking for a shorter expression. Split large expressions into parts in that case.