Math Expression Evaluator
Safely evaluate math expressions using the Shunting-yard algorithm - no eval(). Supports functions, constants, and step-by-step tracing.
Last reviewed: April 2026New to this tool? Click here for instructions
| Syntax | Description | Example | Result |
|---|---|---|---|
+ - * / | Basic arithmetic | 10 / 4 | 2.5 |
^ | Exponentiation | 2^10 | 1024 |
% | Modulo (remainder) | 17 % 5 | 2 |
sqrt(x) | Square root | sqrt(225) | 15 |
abs(x) | Absolute value | abs(-7) | 7 |
sin(x) | Sine (DEG or RAD) | sin(90) | 1 |
cos(x) | Cosine (DEG or RAD) | cos(0) | 1 |
tan(x) | Tangent (DEG or RAD) | tan(45) | 1 |
asin(x) | Arcsine ? degrees/rad | asin(1) | 90 |
acos(x) | Arccosine ? degrees/rad | acos(0) | 90 |
atan(x) | Arctangent ? degrees/rad | atan(1) | 45 |
log(x) | Logarithm base 10 | log(1000) | 3 |
ln(x) | Natural logarithm | ln(e) | 1 |
exp(x) | e raised to power x | exp(1) | 2.718- |
floor(x) | Round down to integer | floor(3.9) | 3 |
ceil(x) | Round up to integer | ceil(3.1) | 4 |
round(x) | Round to nearest integer | round(3.5) | 4 |
sign(x) | Sign of number (-1/0/1) | sign(-99) | -1 |
pi | p - 3.14159- | 2 * pi * 5 | 31.416- |
e | Euler's number - 2.718- | e^2 | 7.389- |
How to Use the Math Expression Evaluator
To use the Math Expression Evaluator, simply type a math expression into the input field. For example, you can enter `sqrt(144) + 2^3` or `sin(45) * cos(45)`. Press Enter or click the Evaluate button to get the result immediately. The tool also shows a token breakdown and a step-by-step evaluation trace for educational purposes.
- Type a math expression into the input field.
- Press Enter or click the Evaluate button.
- View the result, token breakdown, and step-by-step evaluation.
When to Use the Tool in Real Workflows
The Math Expression Evaluator is ideal for anyone who needs to evaluate mathematical expressions in a safe and secure environment. It's particularly useful for students, educators, and professionals who require accurate and reliable mathematical calculations without the risk of code injection.
How It Works
The Math Expression Evaluator uses the Shunting-yard algorithm to parse and compute mathematical expressions. This algorithm converts infix expressions to Reverse Polish Notation (RPN), which is then evaluated using safe arithmetic operations. By avoiding the use of JavaScript's `eval()` function, the tool ensures that user input is processed securely and without the risk of executing arbitrary code.
Tips, Edge Cases, or Limitations
When using the Math Expression Evaluator, ensure that your expressions are well-formed and do not contain syntax errors. The tool supports a wide range of mathematical functions and constants, but it may not handle complex or nested expressions as expected. Always double-check your results, especially when dealing with trigonometric functions and logarithms.
- Ensure well-formed expressions.
- Supports a wide range of functions and constants.
- May not handle complex or nested expressions as expected.