Run results for: Power vs Square Root functions

Run details:

User agent: Mozilla/5.0 (iPhone; CPU iPhone OS 14_0 like Mac OS X) AppleWebKit/605.1.15 (KHTML, like Gecko) CriOS/87.0.4280.77 Mobile/15E148 Safari/604.1

Browser: Chrome Mobile iOS 87

Operating system: iOS 14.0

Device Platform: Mobile

Date tested: 3 years ago

Test name	Executions per second
Power function (small number)	2510315.5 Ops/sec
Power function (large number)	2526534.2 Ops/sec
Power function (very large number)	2342942.5 Ops/sec
Square root function (small number)	2436405.0 Ops/sec
Square root function (large number)	2476146.2 Ops/sec
Square root function (very large number)	2532135.5 Ops/sec

Script Preparation code:

// Javascript uses floats for numbers. Generaate some numbers in advance.
var smallNumber = Math.pow(2, 7) + Math.floor(Math.random() * Math.pow(2,7));
var largeNumber = Math.pow(2, 30) + Math.floor(Math.random() * Math.pow(2,30));
var veryLargeNumber = Math.pow(2, 60) + Math.floor(Math.random() * Math.pow(2,60));

Tests:

Power function (small number)
Math.pow(smallNumber, 2);
Power function (large number)
Math.pow(largeNumber, 2);
Power function (very large number)
Math.pow(veryLargeNumber, 2);
Square root function (small number)
Math.sqrt(smallNumber);
Square root function (large number)
Math.sqrt(largeNumber);
Square root function (very large number)
Math.sqrt(veryLargeNumber);

Run results for: Power vs Square Root functions

Measure the performance of the Power and Square Root functions. Conclusion: The underlying math logic seems to be the same, regardless of the function used.

Power function (small number)

Power function (large number)

Power function (very large number)

Square root function (small number)

Square root function (large number)

Square root function (very large number)