Benchmarking - John's Vademecum

Try to learn something about everything, and everything about somethingThomas Huxley “Darwin's bulldog” (1824-1895)
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====== Benchmarking ======

**Various methods to test the speed of calculators ** 

===== HP Museum Benchmarks =====

These pseudo-code examples need tweaking for each calculator, some have ''alpha'' register names, some ''numeric''. 

The handling of the <loop> is different in each calculator,too.

The Programs are run for 1 minute and the result (the number of loops completed) is found in register 2 (or wherever is used in the calculator being tested).
==== HP Museum Maths Benchmark ====

++++ psuedo code |

<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>

</code>

++++



==== HP Museum Trig Benchmark ====

++++ pseudo code |

<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>

</code>

++++
==== Overall Results ====

** sorted by Maths Benchmark**

^Date^Calculator^Serial No^Firmware^Maths Result^ Maths % ((versus HP9100 : 679))^Trig Result^Trig %((versus HP9100 : 40))^Comment^
| 12/01/26| DM15L * | 21350 | {{ :public:calculator:info:lf15c_250408.hex |}}|99,869 | 14,708% | 17,306 | 43,265% | 3rd Party Firmware  |
| 21/09/24 | DM15L * | 21350 | {{ :public:calculator:guides:lf15c_beta240920.zip |}}| 68,791 | 10,131% | 14,159 | 35,397% | 3rd Party Firmware   |
| 20/07/23  | DM32  | 00812 | 2.03  | 46,265  | 6,813%   | 12,224 | 30,560%    |  |
|26/05/22   |DM42    |06434  | 3.21|24,701 |3,637% |3,741  |9,352.5%  |    |
|09/05/24 |DM42 * | 06434| C47 00.109.01.03a2 | 4,976 | 732.8% | 210 | 525.0% | 3rd Party Firmware |
| 02/08/24 | DM41X |01266 |2.2|3,273 | 482% | 627 | 1,690%  | FAST/USB power|
| 17/09/24 | DM15L * | 21350 | {{ :public:calculator:guides:lf15c_beta240916_2.zip |}}  |1,346 | 198% |  | | 3rd Party Firmware  |
|26/05/22   |DM41X    |01266 | 2.1  |1,117 |164%  |228  |570% |FAST mode   |
| 02/08/24 | DM41X | 01266 | 2.2 |1,038 | 152% | 206 | 515% | FAST |
| 14/01/26 | DM41X | 01266 | 2.3 |900 | 132% | 177 | 442%  | FAST |
|23/01/26 | DM15L | 21350 | DM15_M1B_34 |790 | 116% | 199 | 497% | 48MHz |
|26/05/22    |DM15L |21350 |DM15_M1B_32 |676 |99% | 185 | 462.5% |48MHz|
|26/05/22    |HP35S    |PHA9150KFF| n/a|292  |43% |113  |282.5% | |
|23/12/25 | DM41L | 05121 | DM41_34 | 261 | 38% |140 | 350%  | 48MHz |
|26/08/24 | DM41L | 05121 |DM41_32 |154 | 22% | 108 | 270% | 48MHz |
|26/05/22    |DM15L |21350 |DM15_M1B_32 |150 |22% |41  |102.5%  |12MHz| 
|26/08/24 | DM41L | 05121| DM41_32 | 96 | 14% | 40 | 100% | 12MHz |
|26/05/22   |DM41X    |01266 |2.1|93  |13%  |18  |45%  |SLOW mode (original HP41 Speed)  |
|02/08/24 |DM41X | 01266 |2.2| 93 | 13% | 18 | 45% | SLOW  |
|28/07/22 |HP11C  | 2219AO3710 | n/a|37 |5.45%|9 |22.5%|   |

  * Reference is HP9100 : Maths Score = 679, Trig Score = 40

==== Code  ====

++++ Maths Benchmark Listing for DM42 | 

<code>
LBL "BM"
0
STO 02
1.01234E6 
STO 00
2.345
STO 01
LBL 02
RCL 01
RCL 00
x
RCL 01
-
RCL 00
÷
RCL 01
x
3.5
÷
SQRT
1
STO+ 02
GTO 02
END
</code>
++++

Raw File : Maths Benchmark (bm) file for DM41X & DM42 {{ :public:calculator:progs:bm.raw |}}

Raw File : Trig Benchmark (bmt) file for DM41X & DM42 {{ :public:calculator:progs:bmt.raw |}}

++++ Maths Benchmark Listing for DM41X |

<code>
LBL ¬BM
0
STO 02
1.01234 E6
STO 00
2.345
STO 01
LBL 02
RCL 01
RCL 00
*
RCL 01
-
RCL 00
/
RCL 01
*
3.5
/
SQRT
1
ST+ 02
GTO 02
END

</code>
++++

++++ Maths Benchmark Listing for HP35S |

<code>
LBL X
0
STO C
1.01234E6
STO A
2.345
STO B
RCL B  <-- loop in
RCL A
x
RCL B
-
RCL A
÷
RCL B
x
3.5
÷
√x
1
STO+ C
GTO X008  --> loop in

</code>
++++

++++ Maths Benchmark Listing for DM15L / HP15C |
<code>
42,21,15
0
42 2
1
48
0
1
2
3
4
26
6
44 0
2
48
3
4
5
44 1
42,21,2
45 1
45 0
20
45 1
30
45 0
10
45 1
20
3
48
5
10
11
1
44,40, 2
22 2
43 32
</code>

<code>
LBL E
0
STO 2
1
.
0
1
2
3
4
EEX
6 
STO 0
2
.
3
4
5
STO 1
LBL 2
RCL 1
RCL 0
x
RCL 1
-
RCL 0
÷
RCL 1
x
3
.
5
÷
√x
1
STO + 2
GTO 2
RTN
</code>
++++

++++ Maths Benchmark Listing for DM32 |

<code>
LBL A
0
STO C
1.01234 E 6
STO A
2.345
STO B
LBL B
RCL B
RCL A
X
RCL B
-
RCL A
/
RCL B
X
3.5
/
SQRT
1
STO+ C
GTO B
RTN
</code>
++++

++++ DM15L Memory Dump : Maths Benchmark = LBL A, Trig Benchmark = LBL B |

<code>
DM15_M1B
00  05626000000001  01000000000000  01000000000000  00000000000000
04  04975000fff000  00000000000008  0000000000000c  00999999999eae
08  00000000000000  2a2f87beda1280  00000000bcaf80  00000000000000
10  05626000000001  02345000000000  00000000000000  04000000000001
14  f0000000000402  1b4c4c4c4c4c4c  000000000007f7  000000000007fe
18  00000000000000  0000000000007f  00000000a00000  01990000000002
1c  01387265622000  01579783596001  05000000000000  03000000000000
20  00000000000000  00000000000000  04000000000000  08000000000000
24  02100000000001  00000000000000  00000000000000  00000000000000
f4  00000000000000  00000000000000  00000000000000  b21282dff1cafd
f8  f5c0f3fc31fd30  fb31fc30310241  f5f4f3c0f240f6  c6f4f3f2f1f0c0
fc  f142f00ab21382  dff1cbbbb9c9b8  c8b7c7300342f0  40f6f2c0f6f50b
A: 04975000fff000  B: 04975000fffeae  C: 00999999999eae
S: 00000000000000
M: 04000000000000  N: 04975000000000  G: 06

</code>

++++
===== The SAVAGE benchmark =====

From **HPCC** Datafile  V37N1 pp38-42

Raw File : Savage Benchmark (svg) for DM41X & DM42 {{ :public:calculator:progs:svg.raw |}}

++++ Listing for self-timed version |

<code>
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
</code>

++++




++++ Listing for the simple (manual timed) version |

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

<code>
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
</code>

++++

++++ DM15L Memory Dump |

<code>
DM15_M1B
00  01000000000000  01000000000000  01000000000000  00000000000000
04  32499970322000  00000000000008  0000000000000c  40997997010eae
08  00000000000000  3ebeefb6e4228f  e79282e8bc2ac0  00000000000000
10  00000000000000  08000000000000  06000000000000  02498970322003
14  f0000000000504  1b2d2d2d2d2d2d  000000000001fc  00000000000000
18  00000000000000  0000000000007f  00000000a00000  06000000000000
1c  04000000000000  07000000000000  05000000000000  03000000000000
20  00000000000000  00000000000000  04000000000000  08000000000000
24  02100000000001  00000000000000  00000000000000  00000000000000
fc  000000000000b2  1b82fac9b9cbbb  caba0bc1c1c1f1  40f9f9f4f2e80a
A: 32499970322000  B: 32499970322eae  C: 40997997010eae
S: 00000000000000
M: 00000000000000  N: 02499970322003  G: 09

</code>

++++

++++ LF15C Memory Dump |

%%
43 100 112 30 27 36 36 13 0 26 22 22 22 43 101 84 4 88 8 99 19 37 71 0 7 101 58 86 0
%%

++++

==== Results ====

On Battery:

^ Calculator ^ Firmware ^ Seconds ^ Mins/seconds ^ Comment ^ Displayed Result ^
|DM15L * | LF15c_beta250217b | 3.862 seconds | 0 mins 3.862 sec | Timed by internal function "runTime" | 2500.00000000118 |
|DM15L * | LF15c_beta250215 | 3.969 seconds | 0 mins 3.969 sec | Timed by internal function "runTime" | 2500.00000000118 |
| DM15l * | LF15C_250408 | 4.008 seconds | 0 mins 4.008 sec |  Timed by internal function "runTime" | 2500.00000000118 |
| DM15L * | LF15c_beta241006 | 5.9510 seconds | 0 mins 5.951 sec | Timed by internal function "runTime" | 2500.00000000118 |
| DM15L * | LF15C_beta240928 | 6.3 seconds | 0 min 6.3 sec | manually timed | 2500.00000000118 | 
| 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 | 2.3 | 143.69 seconds |2 min 26.69 sec | FAST mode / USB Power | 2499.970322 |
| DM41X | 2.1 | 207.03 seconds |3 min 27.03 sec | FAST mode | 2499.970322 |
| DM41X | 2.2 | 244.2 seconds| 4 min 4.25 sec | FAST mode| 2499.970322 |
| DM15L | DM15_M1B_34 | 247.3 seconds | 4 min 34.3 sec | 48MHz | 2499.970322 |
| DM41X | 2.3 | 284.15 seconds | 4 min 44.15 sec | FAST Mode | 2499.970322 |
| DM15L | DM15_32 | 288 seconds | 4 min 48 sec| 48MHz | 2499.970322 |
| DM41L | DM41_34 | 513.73 seconds | 8 min 33 sec | 48MHZ | 2499.970322 |
| DM41L | DM41_32 | 758.67 seconds  | 12 min 38.67 sec  | 48MHz | 2499.970322  |
| HP35S | n/a |877 seconds | 14 min 37 sec |  | 2499.99939863 |
| DM41L | DM41_34 | 1285.93 seconds | 21 min 25.93 seconds | 12MHz | 2499.970322 |
| 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) (F/W/ Version ?)
  * DM42  : 5.56 seconds



===== N-Queens =====

  * [[https://www.hpmuseum.org/cgi-bin/articles.cgi?read=700]]


Raw File : N-Queens file (nqu) for DM41X & DM42 {{ :public:calculator:progs:nqu.raw |}}


++++ Listing for HP41/DM41X/DM41L/HP42/DM42 |

<code>

// for HP41 / HP 42  ... DM41X, DM41L, DM42
// shows run-time on completion

LBL "NQU"   
CLRG
TIME
STO 20
8 
STO 11
LBL 00  
RCL 00 
RCL 11
X=Y? 
GTO 04
ISG 00 
DEG
STO IND 00
LBL 01 
ISG 10 
DEG
RCL 00 
STO 09
LBL 02  
DSE 09 
DEG
RCL 09 
X=0? 
GTO 00
RCL IND 00 
RCL IND 09 
-
X=0? 
GTO 03
ABS 
RCL 00 
RCL 09 
-
X<>Y? 
GTO 02
LBL 03  
DSE IND 00 
GTO 01
DSE 00 
GTO 03
LBL 04 
RCL 10
TIME 
RCL 20
HMS-
HR
3600
*
RTN

</code>

++++

++++ Listing for DM15L with LF15C firmware |

<code>
LBL 88
CLEAR REG
8
STO 10
LBL 80
RCL 0
RCL 10
X=Y?
GTO 84
1
STO+ 0
RCL 0
STO I
RCL 10
STO (i)
LBL 81
1
STO+ 11
RCL 0
STO 9
LBL 82
1
STO- 9
RCL 9
X=0?
GTO 80
RCL 0
STO I
RCL (i)
RCL 9
STO I
RDN
RCL (i)
-
X=0?
GTO 83
ABS
RCL 0
RCL 9
-
X<>Y?
GTO 82
LBL 83
RCL 0
STO I
1
STO- (i)
RCL (i)
X<>0?
GTO 81
1
STO- 0
RCL 0
X<>0?
GTO 83
LBL 84
RCL 11
runTime
RTN

</code>

++++

++++ LF15C Memory Dump |

Runs via ''f LBL 88''

%%
43 88 54 32 13 10 43 80 17 0 17 10 118 6 7 84 26 121 0 17 0 13 254 17 10 13 255 43 81 26 121 11 17 0 13 9 43 82 26 122 9 17 9 118 12 7 80 17 0 13 254 17 255 17 9 13 254 10 17 255 38 118 12 7 83 104 17 0 17 9 38 118 7 7 82 43 83 17 0 13 254 26 122 255 17 255 118 1 7 81 26 122 0 17 0 118 1 7 83 43 84 17 11 58 86 0 
%%

++++


++++ Listing for DM15L / HP15C | 

<code>
LBL A
CLR_REG
8
STO .0
LBL 0
RCL 0
RCL .0
TEST 5
GTO 4
1
STO+0
RCL 0
STO I
RCL .0
STO (i)
LBL 1
1
STO+.1
RCL 0
STO 9
LBL 2
1
STO-9
RCL 9
x=0
GTO 0
RCL 0
STO I
RCL (i)
RCL 9
STO I
R_down
RCL (i)
-
x=0
GTO 3
ABS
RCL 0
RCL 9
-
TEST 6
GTO 2
LBL 3
RCL 0
STO I
1
STO-(i)
RCL (i)
TEST 0
GTO 1
1
STO-0
RCL 0
TEST 0
GTO 3
LBL 4
RCL .1
RTN

</code>

++++

++++ DM15L Memory Dump |

<code>
DM15_M1B
00  08000000000000  08000000000000  00000000000000  00000000000000
04  065140fffff000  00000000000008  0000000000000c  00000000999eae
08  00000000000000  22af8d9e7e0080  00000000000000  00000000000000
10  08000000000000  08000000000000  01000000000000  01000000000000
14  f0000000000537  1b2d2d2d2d2d2d  000000000007f7  00000000000000
18  00000000000000  0000000000007f  00000000a00000  04000000000000
1c  01000000000000  03000000000000  06000000000000  02000000000000
20  07000000000000  05000000000000  00000000000000  08000000000000
24  08760000000002  00000000000000  00000000000000  00000000000000
f4  00000000000000  00000000000000  00000000000000  b25104137030a0
f8  dff1117086bddf  f19730031276fb  3930b313ecfb86  c4973986973010
fc  ec39a9dff10249  3091dff1019650  973080dff11475  50300060f8a50a
A: 065140fffff000  B: 065140fffffeae  C: 00000000999eae
S: 00000000000000
M: aaaaaaaaaaaaaa  N: 06514000000000  G: 04

</code>

++++


^Date^Calculator^Serial No.^Firmware^Seconds^Mins : Secs^Comment^
|12/01/26| DM15L* |21350 | LF15C_250408 | 0.992 seconds | 0:0.992 | Self-timed with runTime function |
|28/01/26| DM42  | 06434 | 3.23 | 7.30 seconds | 0:07.30 | Battery |
|14/01/26| DM41X | 01266 | 2.3 | 49.55 seconds | 0:49.55 | FAST mode / USB Power |
|10/01/26| DM41X | 01266 | 2.3 | 101.29 seconds |1:41.29 | FAST mode / battery |
|23/01/26| DM15L | 21350 | DM15_M1B_34 | 202.16 seconds | 3:22.16 | 48MHz, manually timed |
|10/01/26| DM41L | 05121 | DM41_34  | 509.19 seconds  | 8:29.19   |48MHz |
|11/01/26| DM41L | 05121 | DM41_34 | 870.58 seconds | 14:30.58  | 12MHz |
|10/01/26| DM41X | 01266 | 2.3 | 1008.60 seconds | 16:48.60  | SLOW mode / battery |


* Running 3rd party firmware [[https://www.hpmuseum.org/forum/thread-20046.html]]




===== Tony's Benchmark =====

From [[http://www.thimet.de/CalcCollection/CalcPerformance.html]]

==== Code ====

++++ Listing for the 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 "TBM")
XEQ A  (XEQ "AA")
RCL C  (RCL 03)
1
-
STO C (STO 03)
X≠0?
GTO C (GTO "TBM")
RTN
</code>

++++

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 ====

^Date^Calculator^Serial No^Loops^Time^Performance Index^Comments^Result^
|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  |
|21/09/24| DM15L * | 21350 | 1000 | 42.8 sec | 794 | 3rd Party Firmware : LF15C_beta240921 | 0.26457749817596 |
|21/09/24| DM15L * | 21350 | 100 | 4.5 sec | 756 | 3rd Party Firmware : LF15C_beta240921 | 0.26457749817596 |
|22/11/23| DM41X| 01266 | 20 | 6 sec | 113 | FAST mode / USB  | |
|09/05/24| DM42 * | 06434 | 30 | 9.6 sec | 106 | 3rd Party Firmware : C47 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

<key>9</key><key>SIN</key><key>COS</key><key>TAN </key><key>ATAN</key><key> ACOS </key><key>ASIN </key> 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 ((at max. display resolution))^ Error (Result - 9) ^Firmware ^
| HP11C | 9.000417403 | 4.17403e-4 | |
| DM15L | 9.000417403 | 4.17403e-4 | DM15_32 |
| DM41X | 9.000417403 | 4.17403e-4 | 2.1 |
| DM41L | 9.000417403 | 4.17403e-4 | DM41_32 |
| HP35S | 8.99999986001 | -1.3999e-7 | |
| DM15L * | 8.99999999983416 | -1.65842e-10 | 3rd party LF15C_beta240916 17/09/24 |
| DM42  | 9.00000000000 | -6.2466e-29 | DM42 3.22 / Free42 3.0.15 |
| DM32  | 9.00000000000 | -6.2466e-29 | 2.06 |

I also found a different version of the same idea at [[https://tangentsoft.com/rpn/wiki?name=Ballpark+Accuracy#results]]

Instead of **subtracting 9** from the result this test **divides the result by 9** and then finds the **LOG<sub>10</sub>** of this fractional error

<key>9</key><key>SIN</key><key>COS</key><key>TAN </key><key>ATAN</key><key> ACOS </key><key>ASIN </key> <key>9</key> <key>'/'</key> <key>LOG</key>

Here are some of these results 

^Calculator^Displayed Result^Error=(Result / 9)^Log<sub>10</sub>(Error)^Comments^
|DM41X|9.000417403|1.000046378|2.0141242e**-05**| f/w 2.3 |
|DM41L|9.000417403|1.000046378|2.0141242e**-05**| f/w DM41_34 |
|DM15L*|8.99999999983416|0.999999999981573|-8.0027125631e**-12**|3rd Party F/W LF15C_250408 |
|DM42|9.00000000000|1.00000000000|3.01430771055e**-30**|DM42 3.26 / Free42 3.3.10 |


===== Page Info =====

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

Page last updated: ~~LASTMOD~~



===== Further Information =====


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