Casio fx-9860GII Equation Solver performance improvement by overclocking

In last installment, the Casio overclocking utility Ftune2 improved the speed performance of a Nelder-Mead program by 4.5 times. For standard calculations, more impressive results are obtained from this nice utility. In this test, the standard normal distribution function is applied in the Casio fx9860GII Equation Solver and the task is to find the Z variable (as “T” in the below screen), given the cumulative probability distribution of 0.9 (as “A” in the below screen).

casio-solver

A=1÷(√(2π))×∫(e^(-X²÷2),-999,T)

In other words, the solver’s task is to find Z from the given area of 0.9 as shaded in the below chart, which is obtained for verifying the solver’s result of 1.28155156 using the command
Graph Y=P(1.28155156).

casio-solver1

And here is the result on speed performance:

00:38 No overclocking, back-lit OFF
00:40 No overclocking, back-lit ON
00:06 Overclocked 265.42 MHz, USB OFF, back-lit OFF
00:07 Overclocked 265.42 MHz, USB OFF, back-lit ON
00:05 Overclocked 265.42 MHz, USB ON, back-lit OFF
00:05 Overclocked 265.42 MHz, USB ON, back-lit ON

The performance gain by overclocking is 7.6 to 8 times, depending whether the back-lit is on for non-overclocked runs.

For the same equation solving by the TI Nspire using nsolve(), it took 01:30 to return a result of 1.28155156555.

However, using the built-in standard functions NormCD() for the Casio and normCdf() for the TI as below

Casio fx-9860GII

A=NormCD(-999,T)

TI Nspire

nsolve(normCdf(-∞,x,0,1)=0.9,x)

both units return results instantaneously (Nspire returns 1.28155193868 while Casio returns 1.281551566).

Advertisements

2 thoughts on “Casio fx-9860GII Equation Solver performance improvement by overclocking

  1. Pingback: A comparison on performance of overclocked Nspire CX CAS and fx-9860GII | gmgolem

  2. Pingback: Overclocking Casio fx-9860gII to the max with portable power bank | gmgolem

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s