FastMath timings

[jj2007]

May I have some timings, please? This is for checking if slow math functions can be replaced with faster proxies.

Code: [Select]

Intel(R) Core(TM) i5-2450M CPU @ 2.50GHz (SSE4)
1337 µs for initialising FastLog10

2885    cycles for 100 * Log10 (Guga)
1476    cycles for 100 * FastMath Log10
10679   cycles for 100 * fptan
1402    cycles for 100 * FastTan
8200    cycles for 100 * fsin
1486    cycles for 100 * FastSin
12313   cycles for 100 * CRT BesselJ0
1397    cycles for 100 * FastBesselJ0

2879    cycles for 100 * Log10 (Guga)
1500    cycles for 100 * FastMath Log10
10672   cycles for 100 * fptan
1396    cycles for 100 * FastTan
8201    cycles for 100 * fsin
1493    cycles for 100 * FastSin
12318   cycles for 100 * CRT BesselJ0
1397    cycles for 100 * FastBesselJ0

2883    cycles for 100 * Log10 (Guga)
1488    cycles for 100 * FastMath Log10
10679   cycles for 100 * fptan
1395    cycles for 100 * FastTan
8204    cycles for 100 * fsin
1490    cycles for 100 * FastSin
12290   cycles for 100 * CRT BesselJ0
1387    cycles for 100 * FastBesselJ0

2884    cycles for 100 * Log10 (Guga)
1510    cycles for 100 * FastMath Log10
10709   cycles for 100 * fptan
1397    cycles for 100 * FastTan
8183    cycles for 100 * fsin
1491    cycles for 100 * FastSin
12306   cycles for 100 * CRT BesselJ0
1386    cycles for 100 * FastBesselJ0

2869    cycles for 100 * Log10 (Guga)
1486    cycles for 100 * FastMath Log10
10696   cycles for 100 * fptan
1394    cycles for 100 * FastTan
8183    cycles for 100 * fsin
1497    cycles for 100 * FastSin
12308   cycles for 100 * CRT BesselJ0
1392    cycles for 100 * FastBesselJ0

Real8   0.6989700043360187465   Log10 (Guga)
Real8   0.6989700043360188575   FastMath Log10
Real8   1.000003619996628679    fptan
Real8   1.000003614159206133    FastTan
Real8   0.4794255386042030054   fsin
Real8   0.4794255386042030054   FastSin
Real8   0.9384698072408128589   CRT BesselJ0
Real8   0.9384698072408128589   FastBesselJ0

[FORTRANS]

Hi,

   Two results (sort of).

Code: [Select]

Windows XP
Intel(R) Pentium(R) M processor 1.70GHz
"LOG10_FA.EXE has encountered a problem and needs to close.
We are sorry for the inconvenience."
... "Please tell Microsoft about this problem."



Microsoft Windows [Version 6.3.9600]
(c) 2013 Microsoft Corporation. All rights reserved.

C:\Windows\System32>g:

G:\>cd temp

G:\TEMP>cd test

G:\TEMP\TEST>LOG10_FA.EXE
Intel(R) Core(TM) i3-4005U CPU @ 1.70GHz (SSE4)
5001 elements
5001 elements
5001 elements
16 ms for initialising FastLog10

2792    cycles for 100 * Log10 (Guga)
1522    cycles for 100 * FastMath Log10
13172   cycles for 100 * fptan
1549    cycles for 100 * FastTan
9875    cycles for 100 * fsin
1686    cycles for 100 * FastSin
14603   cycles for 100 * CRT BesselJ0
1547    cycles for 100 * FastBesselJ0

2803    cycles for 100 * Log10 (Guga)
1523    cycles for 100 * FastMath Log10
13190   cycles for 100 * fptan
1548    cycles for 100 * FastTan
9873    cycles for 100 * fsin
1696    cycles for 100 * FastSin
14600   cycles for 100 * CRT BesselJ0
1548    cycles for 100 * FastBesselJ0

2792    cycles for 100 * Log10 (Guga)
1524    cycles for 100 * FastMath Log10
13172   cycles for 100 * fptan
1552    cycles for 100 * FastTan
9879    cycles for 100 * fsin
1686    cycles for 100 * FastSin
14602   cycles for 100 * CRT BesselJ0
1548    cycles for 100 * FastBesselJ0

2798    cycles for 100 * Log10 (Guga)
1522    cycles for 100 * FastMath Log10
13175   cycles for 100 * fptan
1548    cycles for 100 * FastTan
9876    cycles for 100 * fsin
1686    cycles for 100 * FastSin
14602   cycles for 100 * CRT BesselJ0
1547    cycles for 100 * FastBesselJ0

2793    cycles for 100 * Log10 (Guga)
1521    cycles for 100 * FastMath Log10
13172   cycles for 100 * fptan
1548    cycles for 100 * FastTan
9873    cycles for 100 * fsin
1687    cycles for 100 * FastSin
14601   cycles for 100 * CRT BesselJ0
1552    cycles for 100 * FastBesselJ0

Real8   0.6989700043360187465   Log10 (Guga)
Real8   0.6989700043360188575   FastMath Log10
Real8   1.000003619996628679    fptan
Real8   1.000003614159206133    FastTan
Real8   0.4794255386042030054   fsin
Real8   0.4794255386042030054   FastSin
Real8   0.9384698072408128589   CRT BesselJ0
Real8   0.9384698072408128589   FastBesselJ0

--- ok ---
Regards,

Steve N.

[TouEnMasm]

hello,
windows 10

Intel(R) Core(TM) i3-4150 CPU @ 3.50GHz (SSE4)
13 ms for initialising five Fast* functions

2922    cycles for 100 * Log10 (Guga)
1550    cycles for 100 * FastMath Log10
13298   cycles for 100 * fptan
2066    cycles for 100 * FastTan
10263   cycles for 100 * fsin
2043    cycles for 100 * FastSin
15159   cycles for 100 * CRT BesselJ0
1653    cycles for 100 * FastBesselJ0

2829    cycles for 100 * Log10 (Guga)
1535    cycles for 100 * FastMath Log10
13356   cycles for 100 * fptan
1615    cycles for 100 * FastTan
10025   cycles for 100 * fsin
1626    cycles for 100 * FastSin
14824   cycles for 100 * CRT BesselJ0
1586    cycles for 100 * FastBesselJ0

2857    cycles for 100 * Log10 (Guga)
1615    cycles for 100 * FastMath Log10
13501   cycles for 100 * fptan
1648    cycles for 100 * FastTan
9932    cycles for 100 * fsin
1618    cycles for 100 * FastSin
14886   cycles for 100 * CRT BesselJ0
1832    cycles for 100 * FastBesselJ0

3454    cycles for 100 * Log10 (Guga)
1656    cycles for 100 * FastMath Log10
13335   cycles for 100 * fptan
1587    cycles for 100 * FastTan
9952    cycles for 100 * fsin
1571    cycles for 100 * FastSin
14808   cycles for 100 * CRT BesselJ0
1578    cycles for 100 * FastBesselJ0

2834    cycles for 100 * Log10 (Guga)
1721    cycles for 100 * FastMath Log10
13306   cycles for 100 * fptan
1560    cycles for 100 * FastTan
10006   cycles for 100 * fsin
1567    cycles for 100 * FastSin
14748   cycles for 100 * CRT BesselJ0
1566    cycles for 100 * FastBesselJ0

Real8   0.6989700043360187465   Log10 (Guga)
Real8   0.6989700043360188575   FastMath Log10
Real8   1.000003619996628679    fptan
Real8   1.000003614159206133    FastTan
Real8   0.4794255386042030054   fsin
Real8   0.4794255386042030054   FastSin
Real8   0.9384698072408128589   CRT BesselJ0
Real8   0.9384698072408128589   FastBesselJ0
-

[jj2007]

Thanks, Steve and Yves. I wonder if the Pentium M supports fisttp

WinXP is not to blame, with my VM the results are very similar (as expected), with one exception - the CRT Bessel function is much slower:

Code: [Select]

Intel(R) Core(TM) i5-2450M CPU @ 2.50GHz (SSE4)
1369 µs for initialising five Fast* functions

3013    cycles for 100 * Log10 (Guga)
1500    cycles for 100 * FastMath Log10
11406   cycles for 100 * fptan
1528    cycles for 100 * FastTan
8650    cycles for 100 * fsin
1498    cycles for 100 * FastSin
20460   cycles for 100 * CRT BesselJ0
1457    cycles for 100 * FastBesselJ0

2976    cycles for 100 * Log10 (Guga)
1491    cycles for 100 * FastMath Log10
11296   cycles for 100 * fptan
1467    cycles for 100 * FastTan
8653    cycles for 100 * fsin
1501    cycles for 100 * FastSin
20471   cycles for 100 * CRT BesselJ0
1468    cycles for 100 * FastBesselJ0

[Siekmanski]

Code: [Select]

Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz (SSE4)
3553 µs for initialising five Fast* functions

3151    cycles for 100 * Log10 (Guga)
1693    cycles for 100 * FastMath Log10
13133   cycles for 100 * fptan
1679    cycles for 100 * FastTan
10034   cycles for 100 * fsin
1726    cycles for 100 * FastSin
14843   cycles for 100 * CRT BesselJ0
1677    cycles for 100 * FastBesselJ0

3151    cycles for 100 * Log10 (Guga)
1694    cycles for 100 * FastMath Log10
13132   cycles for 100 * fptan
1676    cycles for 100 * FastTan
10044   cycles for 100 * fsin
1730    cycles for 100 * FastSin
14852   cycles for 100 * CRT BesselJ0
1676    cycles for 100 * FastBesselJ0

3153    cycles for 100 * Log10 (Guga)
1694    cycles for 100 * FastMath Log10
13132   cycles for 100 * fptan
1677    cycles for 100 * FastTan
10028   cycles for 100 * fsin
1726    cycles for 100 * FastSin
14826   cycles for 100 * CRT BesselJ0
1674    cycles for 100 * FastBesselJ0

3150    cycles for 100 * Log10 (Guga)
1693    cycles for 100 * FastMath Log10
13134   cycles for 100 * fptan
1677    cycles for 100 * FastTan
10031   cycles for 100 * fsin
1724    cycles for 100 * FastSin
14859   cycles for 100 * CRT BesselJ0
1674    cycles for 100 * FastBesselJ0

3148    cycles for 100 * Log10 (Guga)
1694    cycles for 100 * FastMath Log10
13133   cycles for 100 * fptan
1675    cycles for 100 * FastTan
10042   cycles for 100 * fsin
1725    cycles for 100 * FastSin
14833   cycles for 100 * CRT BesselJ0
1673    cycles for 100 * FastBesselJ0

Real8   0.6989700043360187465   Log10 (Guga)
Real8   0.6989700043360188575   FastMath Log10
Real8   1.000003619996628679    fptan
Real8   1.000003614159206133    FastTan
Real8   0.4794255386042030054   fsin
Real8   0.4794255386042030054   FastSin
Real8   0.9384698072408128589   CRT BesselJ0
Real8   0.9384698072408128589   FastBesselJ0

--- ok ---

[six_L]

Code: [Select]

Intel(R) Core(TM) i5-9400H CPU @ 2.50GHz (SSE4)
1498 µs for initialising five Fast* functions

1607    cycles for 100 * Log10 (Guga)
677     cycles for 100 * FastMath Log10
9076    cycles for 100 * fptan
655     cycles for 100 * FastTan
6974    cycles for 100 * fsin
659     cycles for 100 * FastSin
7928    cycles for 100 * CRT BesselJ0
694     cycles for 100 * FastBesselJ0

1634    cycles for 100 * Log10 (Guga)
678     cycles for 100 * FastMath Log10
8921    cycles for 100 * fptan
662     cycles for 100 * FastTan
6948    cycles for 100 * fsin
667     cycles for 100 * FastSin
8052    cycles for 100 * CRT BesselJ0
664     cycles for 100 * FastBesselJ0

1611    cycles for 100 * Log10 (Guga)
746     cycles for 100 * FastMath Log10
8873    cycles for 100 * fptan
656     cycles for 100 * FastTan
6967    cycles for 100 * fsin
664     cycles for 100 * FastSin
7934    cycles for 100 * CRT BesselJ0
653     cycles for 100 * FastBesselJ0

1626    cycles for 100 * Log10 (Guga)
663     cycles for 100 * FastMath Log10
8861    cycles for 100 * fptan
655     cycles for 100 * FastTan
6911    cycles for 100 * fsin
669     cycles for 100 * FastSin
7933    cycles for 100 * CRT BesselJ0
664     cycles for 100 * FastBesselJ0

1676    cycles for 100 * Log10 (Guga)
663     cycles for 100 * FastMath Log10
8868    cycles for 100 * fptan
653     cycles for 100 * FastTan
6942    cycles for 100 * fsin
671     cycles for 100 * FastSin
7947    cycles for 100 * CRT BesselJ0
668     cycles for 100 * FastBesselJ0

Real8   0.6989700043360187465   Log10 (Guga)
Real8   0.6989700043360188575   FastMath Log10
Real8   1.000003619996628679    fptan
Real8   1.000003614159206133    FastTan
Real8   0.4794255386042030054   fsin
Real8   0.4794255386042030054   FastSin
Real8   0.9384698072408128589   CRT BesselJ0
Real8   0.9384698072408128589   FastBesselJ0

-

[guga]

Code: [Select]

AMD Ryzen 5 2400G with Radeon Vega Graphics     (SSE4)
2994 µs for initialising five Fast* functions

2720 cycles for 100 * Log10 (Guga)
2245 cycles for 100 * FastMath Log10
9354 cycles for 100 * fptan
1707 cycles for 100 * FastTan
11454 cycles for 100 * fsin
1755 cycles for 100 * FastSin
17719 cycles for 100 * CRT BesselJ0
1702 cycles for 100 * FastBesselJ0

2736 cycles for 100 * Log10 (Guga)
1702 cycles for 100 * FastMath Log10
9490 cycles for 100 * fptan
1692 cycles for 100 * FastTan
11479 cycles for 100 * fsin
1717 cycles for 100 * FastSin
17690 cycles for 100 * CRT BesselJ0
1718 cycles for 100 * FastBesselJ0

2738 cycles for 100 * Log10 (Guga)
1700 cycles for 100 * FastMath Log10
9389 cycles for 100 * fptan
1685 cycles for 100 * FastTan
11528 cycles for 100 * fsin
1753 cycles for 100 * FastSin
17613 cycles for 100 * CRT BesselJ0
1678 cycles for 100 * FastBesselJ0

2872 cycles for 100 * Log10 (Guga)
1713 cycles for 100 * FastMath Log10
9539 cycles for 100 * fptan
1719 cycles for 100 * FastTan
11417 cycles for 100 * fsin
1680 cycles for 100 * FastSin
18221 cycles for 100 * CRT BesselJ0
1680 cycles for 100 * FastBesselJ0

2736 cycles for 100 * Log10 (Guga)
1718 cycles for 100 * FastMath Log10
9320 cycles for 100 * fptan
1702 cycles for 100 * FastTan
11544 cycles for 100 * fsin
1694 cycles for 100 * FastSin
17514 cycles for 100 * CRT BesselJ0
1687 cycles for 100 * FastBesselJ0

Real8 0.6989700043360187465 Log10 (Guga)
Real8 0.6989700043360188575 FastMath Log10
Real8 1.000003619996628679 fptan
Real8 1.000003614159206133 FastTan
Real8 0.4794255386042030054 fsin
Real8 0.4794255386042030054 FastSin
Real8 0.9384698072408128589 CRT BesselJ0
Real8 0.9384698072408128589 FastBesselJ0

--- ok ---