Benchmark: hypot vs. sqrt - MeasureThat.net

Script Preparation code:

var x = 1e100;
var y = 1e100;

Tests:

hypot
eval(""); var r = Math.hypot(x, y);
sqrtpower
eval(""); var r = Math.sqrt(x ** 2 + y ** 2);

Historical Performance Data aggregated from 17 community runs

Desktop Results:

Firefox 10 runs

hypot

4.2M/s

sqrtpower

3.9M/s

View exact numbers

✓ hypot: 4,186,028 ops/sec
• sqrtpower: 3,891,678 ops/sec

Chrome 7 runs

sqrtpower

9.5M/s

hypot

8.4M/s

Fastest: sqrtpower (1.1x faster)

View exact numbers

✓ sqrtpower: 9,461,172 ops/sec
• hypot: 8,354,976 ops/sec

Results show median performance across all community submissions. Run this benchmark yourself to verify on your device.

Rendered benchmark preparation results:

Suite status: <idle, ready to run>

Previous results

Test case name	Result
hypot
sqrtpower

Fastest: N/A

Slowest: N/A

Latest run results:

Run details: (Test run date: 3 months ago)

User agent: Mozilla/5.0 (Windows NT 10.0; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/149.0.0.0 Safari/537.36 Edg/149.0.0.0

Browser/OS: Chrome 149 on Windows

View result in a separate tab

sqrtpower

24.2M/s

hypot

20.4M/s

View exact numbers

Test name	Executions per second
✓ sqrtpower	24,161,488 Ops/sec
hypot	20,443,338 Ops/sec

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

LLMs can make mistakes. Check important info.

I'd be happy to help explain what's being tested in this benchmark.

**Benchmark Definition**

The first section of the JSON data defines a single benchmark, which is called "hypot vs. sqrt". This benchmark compares the performance of two math functions: `Math.hypot` and `Math.sqrt`.

**Script Preparation Code**

The script preparation code is used to set up the variables `x` and `y` with very large values (1e100) before running the benchmark. This is likely done to ensure that the benchmark results in a significant difference between the two functions, making it more noticeable.

**Html Preparation Code**

There is no html preparation code provided, which means that the HTML template for the benchmark test cases does not need to be set up manually.

**Individual Test Cases**

The benchmark consists of two individual test cases:

1. **hypot**: This test case runs the line `var r = Math.hypot(x, y);` in a Chrome 128 browser on a Linux desktop.
2. **sqrtpower**: This test case runs the line `var r = Math.sqrt(x ** 2 + y ** 2);` in a Chrome 128 browser on a Linux desktop.

**What's being tested?**

These two functions are being compared:

* `Math.hypot`: calculates the length of a hypotenuse (the side opposite the right angle) given the lengths of two other sides.
* `Math.sqrt`: calculates the square root of a number.

The benchmark measures which function is faster, with more executions per second.

**Pros and Cons**

Here are some pros and cons of each approach:

* **Math.hypot**: Pros:
	+ More accurate for calculating hypotenuses, especially when one or both input values are very large.
	+ Likely to be implemented in the browser's V8 JavaScript engine using specialized hardware acceleration (e.g., SSE or AVX instructions).
	+ May have better cache locality and reduced branch prediction errors due to its more compact binary representation.

Cons:
	+ Might require special library calls or function declarations, which can add overhead.
* **Math.sqrt**: Pros:
	+ Simpler implementation compared to `Math.hypot`.
	+ Can be implemented using standard floating-point arithmetic, reducing the need for specialized hardware acceleration.
	+ May have better performance in certain situations (e.g., when working with smaller input values).

Cons:
	+ Less accurate than `Math.hypot` for large input values.
	+ More likely to use branch prediction and cache misses due to its more complex binary representation.

**Other Considerations**

The benchmark results might be influenced by factors such as:

* Browser version and JavaScript engine implementation differences
* Hardware platform and CPU architecture specifics
* Optimizations or tuning of the V8 engine for performance-critical functions

**Library Usage**

In this benchmark, both `Math.hypot` and `Math.sqrt` are standard library functions that come with most modern browsers. There is no additional library usage involved.

**Special JavaScript Feature/ Syntax**

There is no special JavaScript feature or syntax used in these test cases. The code only uses standard JavaScript syntax for variable declarations and function calls.

As for alternatives, here are a few options:

* **Native Math.js Library**: Some platforms (e.g., iOS) have their own native math libraries, which might provide better performance for certain functions.
* **Third-Party Libraries**: For specific use cases or industries, specialized libraries (e.g., linear algebra or numerical analysis libraries) might be used to optimize performance.

hypot vs. sqrt (version: 0) Benchmark.js

Math.hypot vs Math.sqrt

Comparing performance of: `hypot vs sqrtpower`

Created: 2 years ago by: Guest

Go to the latest result

hypot

sqrtpower

Historical Performance Data aggregated from 17 community runs

Desktop Results:

Firefox 10 runs

Chrome 7 runs

Suite status: <idle, ready to run>

Fastest: N/A

Slowest: N/A

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

hypot vs. sqrt (version: 0) Benchmark.js

Math.hypot vs Math.sqrt

Comparing performance of: hypot vs sqrtpower

Created: 2 years ago by: Guest

Go to the latest result

hypot

sqrtpower

Historical Performance Data aggregated from 17 community runs

Desktop Results:

Firefox 10 runs

Chrome 7 runs

Suite status: <idle, ready to run>

Fastest: N/A

Slowest: N/A

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

Related benchmarks

Comparing performance of: `hypot vs sqrtpower`