Benchmark: Math.pow(x,0.5) vs Math.sqrt(x) vs (x ** 0.5)

Script Preparation code:

var numbers = Array.from(Array(10000), (_,x) => (Math.random()*x));

Tests:

Math.sqrt
numbers.forEach(x => Math.sqrt(x));
sqrt with Math.pow
numbers.forEach(x => Math.pow(x,0.5));
sqrt with ** 0.5
numbers.forEach(x => x ** 0.5);

Rendered benchmark preparation results:

Suite status: <idle, ready to run>

Previous results

Test case name	Result
Math.sqrt
sqrt with Math.pow
sqrt with ** 0.5

Fastest: N/A

Slowest: N/A

Latest run results:

Run details: (Test run date: 2 years ago)

User agent: Mozilla/5.0 (Macintosh; Intel Mac OS X 10_15_7) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/124.0.0.0 Safari/537.36

Browser/OS: Chrome 124 on Mac OS X 10.15.7

View result in a separate tab

Test name	Executions per second
Math.sqrt	1610.7 Ops/sec
sqrt with Math.pow	1667.9 Ops/sec
sqrt with ** 0.5	157102.2 Ops/sec

Autogenerated LLM Summary (model llama3.2:3b, generated one year ago):

LLMs can make mistakes. Check important info.

**Benchmark Explanation**

The provided JSON represents a JavaScript microbenchmark created using the MeasureThat.net platform. The benchmark is designed to compare the performance of three different ways to calculate the square root of a number: `Math.pow(x, 0.5)`, `Math.sqrt(x)`, and `(x ** 0.5)`.

**Options Compared**

The benchmark compares the following options:

1. `Math.pow(x, 0.5)`: This method uses the exponentiation operator (`**`) to calculate the square root of a number.
2. `Math.sqrt(x)`: This method is a built-in function provided by JavaScript's Math library, which calculates the square root of a number.
3. `(x ** 0.5)`: This is an alternative syntax for calculating the square root of a number using exponentiation.

**Pros and Cons**

Here are some pros and cons of each approach:

1. `Math.pow(x, 0.5)`:
	* Pros: Simple to implement, no special library required.
	* Cons: May be slower than native Math functions due to overhead from exponentiation operator usage.
2. `Math.sqrt(x)`: 
	* Pros: Fastest and most efficient method, provided by JavaScript's built-in Math library.
	* Cons: Requires access to the Math library, which may not always be available or enabled in all environments.
3. `(x ** 0.5)`:
	* Pros: Similar performance to `Math.sqrt(x)`, but without relying on the Math library.
	* Cons: May require special syntax handling, and can lead to confusing code if not used carefully.

**Library Usage**

None of the benchmarked methods explicitly use a JavaScript library beyond the built-in Math library. However, it's worth noting that some JavaScript engines may optimize or provide custom implementations for certain mathematical functions, which could affect performance.

**Special JS Features/Syntax**

The `(x ** 0.5)` syntax is an example of a special JavaScript feature: exponentiation operator (`**`). This operator was introduced in ECMAScript 2016 and allows for concise and expressive way to calculate powers and roots.

**Other Alternatives**

If you need to implement square root calculation without relying on built-in functions or custom libraries, some alternatives include:

* Using the Babylonian method or other iterative algorithms to approximate the square root.
* Implementing a polynomial approximation of the square root function, such as using a Taylor series expansion.

However, these approaches typically require more code and mathematical expertise than simply using `Math.sqrt(x)` or `(x ** 0.5)`.

Related benchmarks:

Math.pow(x,0.5) vs Math.sqrt(x) vs (x ** 0.5) (version: 0)

Comparing performance of: Math.sqrt vs sqrt with Math.pow vs sqrt with ** 0.5

Created: 2 years ago by: Registered User

Jump to the latest result

Math.sqrt

sqrt with Math.pow

sqrt with ** 0.5

Suite status: <idle, ready to run>

Fastest: N/A

Slowest: N/A

Autogenerated LLM Summary (model llama3.2:3b, generated one year ago):