Summation based benchmark for calculators

07092019, 07:33 PM
Post: #181




RE: Summation based benchmark for calculators
(07092019 12:44 PM)Gamo Wrote: Casio fx991EX That seems a bit slower than the previous "slow batch" result. — Ian Abbott 

08202019, 06:14 PM
Post: #182




RE: Summation based benchmark for calculators
Does someone have the nspire II? If yes, can the person do the test?
Wikis are great, Contribute :) 

08242019, 02:47 PM
Post: #183




RE: Summation based benchmark for calculators
Some TI majestic line calculator results:
N = 10 ~ 14s  TI59 Result: 13.71183502 ~ 16s  TI58c Result: 13.71183502 ~ 51s  TI57 Result: 13.711835 Patrick 

08242019, 08:07 PM
(This post was last modified: 08252019 03:02 PM by toml_12953.)
Post: #184




RE: Summation based benchmark for calculators
(08202019 06:14 PM)pier4r Wrote: Does someone have the nspire II? If yes, can the person do the test? There were several benchmarks mentioned. I ran the nqueens program below on an Nspire CX II CAS in about 2.9 seconds. I really wish the Nspire had an RTC for more accurate measurements. BTW, I'm using OS 5.1 which was released recently. Code: Define nqueens()= Tom L Cui bono? 

08272019, 01:11 PM
(This post was last modified: 08272019 02:21 PM by jlind.)
Post: #185




RE: Summation based benchmark for calculators
With the exception of the Nspire CX II CAS, these were done without trying to simplify or optimize anything. Used default settings. 1000 was long enough for the older calculators listed. The TI85 and TI86 don't have a sigma summation function per se. To do a summation with an equation, the Seq() function is used to generate the sequence of f(x) from 1 to n with an optional specified interval (default is 1 if not specified). The TI85 and TI86 results are consistent as they're both driven by a 6 MHz Zilog Z80 uP and their hardware architecture is nearly identical. The TI86 has 4x the RAM.
Didn't see the 2018 TI Nspire CX II CAS listed, which has a significantly faster uP than the CX. It was near instantaneous when set to 1000. Ran it at 10k and then 100k with its default settings using "CtrlEnter" for numerical approximation. Taking about 10x longer with 10x the sum iterations was expected. Provided its H/W and O/S data. Other than some f(x) tweaks to simplify and optimize it, the Nspire was run asis out of the box with default settings. 1000:
10,000:
100,000:
Nspire Notes: Tweaked things with the 100k summation. Found that changing from cube root to 1/3rd power cut time by over 1/3rd. It's apparent the nth root function isn't as efficient as using the equivalent fractional power. Reduced time by several seconds more by letting CAS simplify original f(x) to the equation shown, which goes further than simply replacing the trig functions. Should have tried replacing cube root with 1/3rd power in the other calculators. ;) John John Pickett: N4ES, N600 TI: 58, 30III, 30x Pro MathPrint, 36x Solar, 85, 86, 89T, Voyage 200, Nspire CX II CAS HP: 50g, Prime G2, DM42 

08272019, 03:30 PM
Post: #186




RE: Summation based benchmark for calculators
(08242019 08:07 PM)toml_12953 Wrote: There were several benchmarks mentioned. I ran the nqueens program below on an Nspire CX II CAS in about 2.9 seconds. Thanks, although this is the Summation based benchmark (the test is on the post #2 in this thread). Thanks for the other contributions, I'll add them. Wikis are great, Contribute :) 

08292019, 07:03 PM
Post: #187




RE: Summation based benchmark for calculators
(08242019 08:07 PM)toml_12953 Wrote: I ran the nqueens program below on an Nspire CX II CAS in about 2.9 seconds. I really wish the Nspire had an RTC for more accurate measurements. Thank you for testing. For more accuracy at fast and very fast results, I've used an outer loop: Code: Define nqueens()= Calculator Benchmark 

09012019, 05:51 PM
Post: #188




RE: Summation based benchmark for calculators
Sharp el5250, n=1000, ~145s (program with LblconditionalGoto)
HP 39gii Builtin sum function, n=1000, ~2s (sum function can only do max. 1000) Program with For loop, n=10000 ~18s, n= 100000 ~176s 

09122019, 12:40 PM
(This post was last modified: 09122019 02:10 PM by grsbanks.)
Post: #189




RE: Summation based benchmark for calculators
TI95 Procalc, 100 iterations, program "assembled".
83 seconds, Result (to 13 sig. fig.) = 139.2971870460 I've only just got mine and I'm still exploring its possibilities. It seems to be quite a powerful keystroke programming algebraic machine let down by its speed reminiscent of treacle climbing up a slope in the middle of a midwinter night. There are only 10 types of people in this world. Those who understand binary and those who don't. 

09122019, 02:05 PM
Post: #190




RE: Summation based benchmark for calculators
(08272019 01:11 PM)jlind Wrote: Nspire Notes: Yes. If you change the algorithm on one you should change it on all. The whole point of a benchmark is to compare machines running identical (or as much as possible) code, not taking advantage of any one machines special features. I'm amazed at how many people don't get that. In any set of benchmark results, someone will invariably say, "My machine has [suchandsuch] function which the others don't and it's faster when I include it!" Those numbers are invalid if you change the code more than absolutely necessary. That's why BASIC benchmarks are written in the lowest common version of BASIC rather than an extended BASIC of one version or another. Translating from one calculator's native language to another's is permissible only because there is no standard calculator language. Even so, using the same algorithm is essential. Comparing two calculators ability to compute integrals using an algorithm is moot if one uses trapezoids and one uses rectangles for example. Tom L Cui bono? 

09142019, 03:46 PM
Post: #191




RE: Summation based benchmark for calculators
(09122019 02:05 PM)toml_12953 Wrote: Yes. If you change the algorithm on one you should change it on all. The whole point of a benchmark is to compare machines running identical (or as much as possible) code, not taking advantage of any one machines special features. That's very true. Regarding the test result of the CX II CAS: 2.9 seconds seems quite slow in comparison with the older Nspire models. One possible reason could be a significant overhead or using the approx mode. Could you please retest the CX II with the code in post #187 for confirmation? I've added a FOR loop for minimizing the overhead effect and more accuracy. Calculator Benchmark 

09142019, 04:08 PM
Post: #192




RE: Summation based benchmark for calculators
(09142019 03:46 PM)xerxes Wrote:(09122019 02:05 PM)toml_12953 Wrote: Yes. If you change the algorithm on one you should change it on all. The whole point of a benchmark is to compare machines running identical (or as much as possible) code, not taking advantage of any one machines special features. OK, I reran using your code. The time was 25 seconds making the time for one iteration about 2.5 seconds. My reaction time is quite slow! Tom L Cui bono? 

09142019, 04:30 PM
Post: #193




RE: Summation based benchmark for calculators
Thanks for retesting. So the TIBASIC of the CX II is slower than expected considering the new hardware.
Calculator Benchmark 

09142019, 04:58 PM
(This post was last modified: 09142019 04:59 PM by toml_12953.)
Post: #194




RE: Summation based benchmark for calculators
(09142019 04:30 PM)xerxes Wrote: Thanks for retesting. So the TIBASIC of the CX II is slower than expected considering the new hardware. Of course there is some added overhead for the loop itself but I wouldn't think it to be too much. Tom L Cui bono? 

10062019, 09:40 AM
Post: #195




RE: Summation based benchmark for calculators
HP 49G with updated firmware "Version HP48C Revision #2.10"
max=10000 ~ 487.3s  HP 49G (ROM 2.10) radians real approx sum function (uses CAS see post #144)  13955.8578444 ~ 487.3s  HP 49G (ROM 2.10) degrees real approx sum function (uses CAS see post #144)  13955.8578444 ~ 505.4s  HP 49G (ROM 2.10) radians real approx UserRPL FOR/NEXT  13955.8578444 ~ 534.7s  HP 49G (ROM 2.10) degrees real approx UserRPL FOR/NEXT  13955.8578444 max=1000 ~ 47.8s  HP 49G (ROM 2.10) radians real approx sum function (uses CAS see post #144)  1395.3462877 ~ 47.8s  HP 49G (ROM 2.10) degrees real approx sum function (uses CAS see post #144)  1395.3462877 ~ 51.0s  HP 49G (ROM 2.10) radians real approx UserRPL FOR/NEXT  1395.3462877 ~ 53.9s  HP 49G (ROM 2.10) degrees real approx UserRPL FOR/NEXT  1395.3462877 max=100 ~ 5.5s  HP 49G (ROM 2.10) radians real approx sum function (uses CAS see post #144)  139.297187047 ~ 5.5s  HP 49G (ROM 2.10) degrees real approx sum function (uses CAS see post #144)  139.297187047 ~ 5.5s  HP 49G (ROM 2.10) radians real approx UserRPL FOR/NEXT  139.297187047 ~ 5.7s  HP 49G (ROM 2.10) degrees real approx UserRPL FOR/NEXT  139.297187047 — Ian Abbott 

10062019, 06:39 PM
Post: #196




RE: Summation based benchmark for calculators
(09122019 02:05 PM)toml_12953 Wrote: The whole point of a benchmark is to compare machines running identical (or as much as possible) code, not taking advantage of any one machines special features. I'm amazed at how many people don't get that. [...] Comparing two calculators ability to compute integrals using an algorithm is moot if one uses trapezoids and one uses rectangles for example. Nicely put. For the rest, yes I am falling behind schedule as I have little time for the forum, on the other side this page: http://www.wiki4hp.com/doku.php?id=bench...g_exp_root ; is often not reachable by me (routing problems) and there there is the versioning of the entire benchmark list. I'll try to collect the new entries as soon as I can. Wikis are great, Contribute :) 

02162020, 04:53 PM
Post: #197




RE: Summation based benchmark for calculators
I bought a 2nd hand Texas Instruments TI57 II from eBay. It's a nice looking calculator in a nice case, but is a bit on the slow side. According to datamath.org, mine is the TI57 II (1986) variant.
max = 10 ~ 39s  TI57 II  keystroke program (DSZ loop), 13.711835 max = 100 ~ 419s  TI57 II  keystroke program (DSZ loop), 139.29719 For what it's worth, the tests were done in degrees mode with the following program: Code: 00 STO 0 — Ian Abbott 

09252020, 03:45 AM
(This post was last modified: 09252020 04:22 AM by Mjim.)
Post: #198




RE: Summation based benchmark for calculators
Just recently got hold of a Casio fx50F (introduced 1987, but from the catalogues, still sold in 2000 and perhaps even later). Programming is limited to 29 steps (each single digit is counted as a step, so you want to set up constants in memory preprogram).
I split the program between 2 program slots P1 & P2, though you don't really need P1, as [FMLA][A] just maps to memory 1, so just send the value for n to this memory before starting the program P2. P1 for the input and to clear the memory: Code: [FMLA][A] P2 for the summation: Code: [Kout][1] Summation Benchmark n=10: Average of 3 tests (Degrees): 18.7 seconds Result: 13.7118350165 Summation Benchmark n=100: Average of 3 tests (Degrees): 187.1 seconds Result: 139.297187029 Summation Benchmark n=1000: Test 1 (Degrees): 1814 seconds Test 2 (Radians): 1828 seconds Result: 1395.34628605 (same for both tests, whether degrees or radians) 

10062020, 08:09 PM
Post: #199




RE: Summation based benchmark for calculators
apparently someone did the test on the casio fx9860GIII without reporting it here.
https://www.hpmuseum.org/forum/thread14...#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 \(n\). Knowing the precision would be interesting too. Wikis are great, Contribute :) 

10072020, 08:08 PM
Post: #200




RE: Summation based benchmark for calculators
DM41X: FOCAL, max=100
fast mode, battery powered: result=139.2971873, time 14.33 s fast mode, USB connected: result=139.2971873, time 4.61 s The FOCAL program was beginner level, i.e., not streamlined to stackonly operations. Cheers, Frido 

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