Summation based benchmark for calculators

[pier4r]

apparently someone did the test on the casio fx9860GIII without reporting it here.

https://www.hpmuseum.org/forum/thread-14...#pid137152

Quote:First, I get it to calculate \(\sum_{k=1}^n \sqrt[3]{e^{sin(atan(k))}} \) (a function with no intrinsic value other than it gets the calculator to chew through a bunch of transcendental functions) for various values of \(n\).

Using the built-in \(\sum \) function it gets through this in roughly (because timed with a stopwatch) 25 seconds for \(n=10^3\) or 220 seconds for \(n=10^4\). Using a Casio Basic program it does it in about 16 seconds for \(n=10^3\), 164 seconds for \(n=10^4\) or 1650 seconds for \(n=10^5\). Using a python program it does it in only 2 seconds for \(n=10^3\), 18 seconds for \(n=10^4\) or 184 seconds for \(n=10^5\). That's 10× faster than using Casio Basic, BUT with what appears to be greatly reduced precision.

Knowing the precision would be interesting too.