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public:calculator:guides:benchmarking

Calculator Hints & Tips

Benchmarking

There is information on HP Calculator Benchmarking online at the HP Museum

Benchmarking

I've used the pseudoCode to test out my own calculators.

HP Museum Maths Benchmark Pseudo Code

LBL <whatever>
0
STO 2
1.01234 EEX 6
STO 0
2.345
STO 1
<loop>
RCL 1
RCL 0
*
RCL 1
-
RCL 0
/
RCL 1
*
3.5
/
SQRT
1
STO+ 2
GTO <loop>

This needs tweaking for each calculator, some have alpha register names, some numeric. The handling of the <loop> is different in each calculator,too.

The PRG is run for 1 minute and the result is found in register 2 (or wherever).

HP Museum Trig Benchmark Pseudo Code

LBL <whatever>
56.26
STO 0
0
STO 2
<loop>
RCL 0
SIN
ASIN
COS
ACOS
TAN
ATAN
LN
e^x
1
STO + 2
GTO <loop>

Results

DateCalculatorSerial NoMaths Result Maths % 1)Trig ResultTrig %2)Comment
20/07/23 DM32 00812 46,265 6813% 12,224 30560% f/w 2.03
26/05/22 DM42 06434 24,701 3637% 3741 9352.5%
09/05/24 C47 06434 4,976 732.8% 210 525.0% F/W version 00.109.01.03a2
26/05/22 DM41X 01266 1,117 164% 228 570% FAST mode
26/05/22 DM15L 21350 676 99% 185 462.5% 48MHz
26/05/22 HP35S PHA9150KFF (2) 292 43% 113 282.5%
26/05/22 DM15L 21350 150 22% 41 102.5% 12MHz
26/05/22 DM41X 01266 93 13% 18 45% SLOW mode (original HP41 Speed)
28/07/22 HP11C 2219AO3710 37 5.45%9 22.5%
  • Reference is HP9100 : Maths Score = 679, Trig Score = 40

Code (Maths Benchmark)

DM42

DM41X

HP35S

DM15L / HP15C

DM32

The SAVAGE benchmark

From HPCC Datafile V37N1 pp38-42

LBL "SVG"
"SAVAGE"
AVIEW
RAD
2499
STO 00
1
ENTER
ENTER
ENTER
STO 01
TIME
X<> 01
LBL 01
X^2
SQRT
LN
E^X
ATAN
TAN
+
DSE 00 
GTO 01
TIME
RCL 01
HMS-
HR
3600
*
END

Simple version

No time calculation, it needs a stopwatch to measure the time… for calculators without TIME functions

LBL A
RAD
2499
STO A (for HP11C "STO I", for DM15L "STO 0")
1
ENTER
ENTER
ENTER
LBL B
X^2
SQRT
LN
E^X
ATAN
TAN
+
DSE A  (for HP11C "DSE", for DM15L "DSE 0" )
GTO B
RTN

Results

On Battery:

Calculator Firmware Seconds Mins/seconds Comment Displayed Result
DM32 2.03 & 2.06 6.3 seconds 0 min 6.3 sec 2500.00000000
DM42 3.22 14.9 seconds 0 min 14.9 sec 2500.00000000
DM41X 2.1 207.03 seconds 3 min 27.03 sec FAST mode 2499.970322
DM15L DM15_V32 288 seconds 4 min 48 sec 48MHz 2499.970322
HP35S 877 seconds 14 min 37 sec 2499.99939863
DM41X 2.1 2652.37 seconds 44 min 12.37 sec SLOW mode 2499.970322
HP11C 5160 seconds 1 hour 26 min 0 sec 2499.970322

On USB Power :

  • DM41X : 58.1 seconds (FAST mode)
  • DM42 : 5.56 seconds

Tony's Benchmark

Code

LBL A  (For DM41X and DM42 : LBL "AA")
10
STO A  (For DM41X and DM42 : STO 00 )
LBL B
1
+
4.567E-4
-
70
+
69
-
7
x
11
/
RCL A (RCL 00)
1
-
STO A (STO 00)
X≠0?
GTO B
R↓
LOG
SIN
SQRT
SQRT
RTN


LBL C  (For DM41X and DM42 : LBL "CC")
XEQ A  (XEQ "AA")
RCL C  (RCL 03)
1
-
STO C (STO 03)
X≠0?
GTO C (GTO "CC")
RTN

For multiple loops store a Loop Count in C (or in Register 03)

(1000 STO C) and then XEQ C

For single loop (slow calculator) simply XEQ A

Result is the time to complete the loop(s) and deliver the answer 0.264577

Performance Index is calculated as

Loops x 34 / Time

For 1000 loops in 13 seconds:

1000 x 34 / 13 = 2615.38

Results

DateCalculatorSerial NoLoopsTimePerformance IndexCommentsResult
22/11/23 DM42 06434 1000 8 sec 4250 USB Power
22/11/23 DM32 00812 1000 13 sec 2615 f/w : 2.06 0.26457749818
22/11/23 DM42 06434 1000 21 sec 1619 Battery Power 0.26457749818
22/11/23 DM41X 01266 20 6 sec 113 FAST mode / USB
09/05/24 C47 06434 30 9.6 sec 106 f/w 00.109.01.03a2
22/11/23 DM15L 21350 10 12 sec 28 48MHz 0.264577498
22/11/23 DM41X 01266 10 10 sec 24 FAST mode / Battery 0.264577498
22/11/23 HP35S PHA9150KFF 5 25 sec 6.8
22/11/23 DM15L 21350 10 54 sec 6.3 12MHz 0.264577498
22/11/23 DM41X 01266 10 118 sec 2.8 SLOW mode/ Battery
22/11/23 HP11C 2219A03710 1 21 sec 1.6

Fingerprinting

Each calculator handles the calculation of functions (SIN, COS etc) differently - different algorithms, different degrees of precision etc.

One way of spotting similar underlying hard/firmware is to carry out a fixed chained calculation on each calculator and to observe the result.

One common test is a sequence of SIN COS TAN ATAN ACOS ASIN on a relatively low starting number - such as 9

9SINCOSTANATANACOSASIN gives a number (hopefully) very close to the starting value of 9 - and the variance from 9 is a fingerprint that can be used to spot similarities between different models.

Calculator Displayed Result Error (Result - 9) Firmware
HP11C 9.000417403 4.17403e-4
DM15L 9.000417403 4.17403e-4 DM15_V32
DM41X 9.000417403 4.17403e-4 2.1
HP35S 8.99999986001 -1.3999e-7
DM42 9.00000000000 -6.2466e-29 DM42 3.22 / Free42 3.0.15
DM32 9.00000000000 -6.2466e-29 2.06

Page Info

Page created Thu May 26 07:58:36 2022 by John Pumford-Green

Page last updated: 09/05/24 12:56 BST

1)
versus HP9100 : 679
2)
versus HP9100 : 40
public/calculator/guides/benchmarking.txt · Last modified: 09/05/24 12:56 BST by john