Wednesday, June 18, 2014

#LatencyTipOfTheDay: You can't average percentiles. Period.

I run into the following situation way too often:

You have some means of measuring and collecting latency, and you want to report on it's percentile behavior over time. You usually capture the data either in some form of high-fidelity histogram, or as raw data (each operation has it's own latency info). You then summarize the data on a per-interval basis and place it in some log. E.g. you may have a log with a summary line per interval, describing something like the 90%/ile, 95%'lie, 99%'lie, 99.9%'lie and Max of all results seen in the last 5 seconds. 

Since raw data is (unfortunately) much more commonly used for this because it's hard to get accurate percentile information from most histograms, you worry about the space needed to keep the full data used to produce this summary over time. So you only keep the summaries but throw away the data.

Then you have this nice log file, with one line per summary interval, and over a run (hour, day, whatever), the log file has all sorts of interval data points for each percentile level, which will often shift rapidly over time. And while this data is useful for "what happened when?" needs, it is terrible for summarizing and getting a feel for the overall behavior of the system during the run. It needs to be further summarized to be comprehensible. 

So how do you produce a summary report on the behavior over longer periods of time (e.g. per hour, or per day, or of the whole run) from such per-interval summary reports? 

Well, here is what I see many people do at this point. Ready for this?

They produce a summary from the summaries. Since they really want to report the 90%'lie, 95%'lie, 99%'lie, 99.9%'lie, and Max values for the whole run, but only have the summary data on a per-interval basis, they average the interval summaries to build the overall summary. 

E.g. The 99%'lie for the run is computed as the average of the 99%'lie report of all intervals in the log. Same for the other percentiles.

Any time you see timeline chart plotting some percentile, and there is an average reported in text to give you a feel for what the overall average behavior of the spiky line you are looking at is, that's what you are most likely looking at...

So what's wrong with that?

At first blush, you may think that the hourly average of the per-5-second-interval 99%ile value has some meaning. you know averages can be inaccurate and misrepresenting at times, but this value could still give you some "feel" for the 99%'lie system, right?

Wrong.

The average of 1,000 99%'lie measurement has as much to do with the 99%'lie behavior of a system as the current temperature on the surface of mars does. Maybe less.

The simplest way to demonstrate the absurdity of this "average of percentiles" calculation is to examine it's obvious effect on two "percentile" values that are hard to hide from: The Max (the 100%'lie value) and the Min (the 0%'lie value). 

If you had the Maximum value recorded for each 5 second interval over a 5000 second run, and want to deduce the Maximum value for the whole run, would an average of the 1,000 max values produce anything useful? No. You'd need to use the Maximum of the Maximums. Which will actually work, but only for the unique edge case of 100%...

But if you had the Minimum value recorded for each 5 second interval over a 5000 second run, and want to deduce the Minimum value for the whole run, you'd have to look for the Minimum of the Minimums. Which also works, but only for the unique edge case of 0%.

The only thing you can deduce about the 99%'lie of a 5000 second run for which you have 1,000 5 second summary 99%'lie values is that it falls somewhere between the Maximum and Minimum of those 1,000 99%'lie values...

Bottom line: You can't average percentiles. It doesn't work. Period.

40 comments:

  1. What about the 99%'ile of those 1000 5 second summary 99%'iles? How close is that to the real overall 99%'ile? I suppose this value is at least more accurate than the average.

    ReplyDelete
    Replies
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  3. Top tip Gil using the 0% and 100%, thanks for the rant and it allies with my long held belief.

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  23. I have been suffering from (HERPES) disease for the last four years
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    ReplyDelete
  24. HELLO EVERYONE.. FEW MUNINETS TO REDY THIS INFOR ON HERPES CURE 2018..2017 I WAS DIAGNOSED OF HERPES/ KNOWN AS GENITAL WARTS ,I SPENT A LOT OF MONEY ON THE MEDICATION TILL A POINT I EVEN LOST HOPE,BECAUSE MY MOTHER WAS GRADUALLY DYING AND LOST HER MEMORY TOO, I WAS SO DESPERATE TO GET MY HEALTH BACK TO NORMAL, ONE DAY MY UNCLE WHO LIVES IN LONDON UNITED KINGDOM TOLD ME ABOUT DR MOMOH,WHO HELPED HIM GET RID OF HERPES /GENITAL WART WITH HERBAL MEDICINE AND HIS HERBAL SOAP ,I WAS SO SHOCKED WHEN HE TOLD ME ABOUT THIS ,ALTHOUGH I NEVER BELIEVE IN HERB BUT, I KEEP TO BELIEVE BECAUSE MY UNCLE CAN'T TELL ME LIES WHEN IT COMES TO HEALTH CONDITION I CONTACTED DR MOMOH VIA HIS EMAIL; dr.momoh9@gmail.com, YOU CAN TALK TO HIM VIA CALL OR WHATSAPP MESSENGER ON +234 708 372 4098 , HE REPLIED AND ASK ME TO SEND MY HOME ADDRESS AND MY DETAIL AND THEN I PURCHASED THE HERBAL MEDICINE,SENT ME THE HERBAL MEDICINE THROUGH COURIER SERVICE, WHEN I RECEIVED THIS HERBAL MEDICINE USED IT FOR 2 WEEKS, AND 4 DAYS OF USAGE THE WARTS FELL OFF, I’M NOW TOTALLY CURED AND I’M LIVING FREE AND HAPPY AGAIN. YOU CAN TALK TO DR VIA HIS MOBILE NUMBER OR WHATS APP HIM ON +234 708 372 4098 .ALL THANKS TO DOCTOR DR MOMOHHELLO EVERYONE.. FEW MUNINETS TO REDY THIS INFOR ON HERPES CURE 2018..  

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  27. I want to share a testimony of how Dr LATIFAH herbal mixture cream saves me from shame and disgrace, my penis was a big problem to me as the size was really so embarrassing, and i was also having weak erection problem. I can't make love to my wife and my penis was just too small a full grown man like me having 4 inches penis and to worsen it i don't last in sex i cant even last two minutes it was really a thing of shame take. My wife was really tired of me because my sex life was very poor, she never enjoyed sex, i was always thinking and searching for solutions everywhere until when i saw a testimony of how Dr.latifah herbal mixture cream have been helping people regarding their sex life, so i decided to give him a try and to my greatest surprise in less than one week of taking the herbs my penis grow to 8 inches i couldn ' t believe my eyes and as i speak now my penis is now 8 inches and i do not have week erection again. I can make love to my wife longer in bed. And my marriage is now stable, my wife now enjoy me very well in bed. can contact maamtifah@gmail.com or call or what-apps him through +27785167256. . .he also specialize on the following things

    BREAST ENLARGEMENT
    BREAST LIFT & REDUCTION
    PENILE / PENIS ENLARGEMENT
    GENERAL BODY SLIMMING
    HIPS & THIGH REDUCTION
    REGAIN VIRGINITY BACK
    Thanks for the Enlarging my penis sir, you indeed save my marriage ... I am really grateful sir,

    ReplyDelete
  28. This is really serious, who will believe that a herb can cure herpes, i never believe that this will work, i have spend a lot getting drugs from the hospital to keep me healthy, it got to a time that i was waiting for death to come because i was broke, one day i hard about this great man called Dr Azaka who is well know for Herpes, HIV and Cancer cure, i decided to email him I didn't believe him that much, I just wanted to give him a try, he replied my mail and Needed some Information about me, then I sent them to him, he prepared a herbal medicine (CURE) and sent it through Online Courier Service for delivery, he gave my details to the Courier Office. they told me that 3-5 days I will receive the package and after receiving it, i took the medicine as prescribed by him at the end of the one week, he told me to go to the hospital for a check up, and i went, surprising, after the test the doctor confirm me Herpes simplex virus negative, i thought it was a joke, i went to other hospital and was also negative, thank you for saving my life, I promise I will always testify of your good works. if you are herpes simplex virus patient, OR you are be helping by someone before i will like to advice you to give this man a tryand see what will happen to your life don't worry about the money you have being using contact him and I am sure you, you will get cured, WhatsApp him on +2349059389105 or email via drazakaojezele@gmail.com Dr Azaka IS ALSO SPECIALISED ON(1) CANCER,(2) DIABETES,(3) HIV&AIDS,(4) URINARY TRACT INFECTION,(5) FIBROID,(6) IMPOTENCE,(7) BARENESS/INFERTILITY,(8) PREGNANCY,

    ReplyDelete
  29. Hello, everyone! I,m here to explore blogs and forum about the wonderful and most safe cure for (Herpes Virus).I was positive to the deadly virus called herpes and i lost hope because i was out casted and rejected even by my closet friends.i searched on-line to know and enquirer about cure for Herpes and i read someone testimony  i know that nature has the power to heal everything.i contacted him to knoon how he was cured from Herpes so i decided to contact the same herbalist becausew how he can help me and he told me never to worry that he will heal me with the natural herbs from God!after 2 days of contacting him, he told me that the cure has been ready and he sent it to me via DHL and it got to me after 3 days!i used the med as he instructed me (MORNING and EVENING) and i was cured!its really like a dream but i am so happy!thats the reason i decided to also add more comment of Him so that more can be saved just like me!and if you need his help, you can email him on (drakuzasolutioncenter@gmail.com) : whatsapp+2348072437003 I,m neme amber and you can get in touch with Contact him for help at Herpes virus HIV/AIDS CANCER COPD BRAIN TUMOR All kind of virus and disease.....

    ReplyDelete
  30. FINALLY FREE FROM HERPES VIRUS
    I thought my life had nothing to offer anymore because life
    became meaningless to me because I had Herpes virus, the
    symptoms became very severe and bold and made my family
    run from and abandoned me so they won't get infected. I gave
    up everything, my hope, dreams,vision and job because the
    doctor told me there's no cure. I consumed so many drugs but
    they never cured me but hid the symptoms inside me making
    it worse. I was doing some research online someday when I
    came across testimonies of some people of how DR Ebhota
    cured them from Herpes, I never believed at first and thought
    it was a joke but later decided to contact him on the details
    provided and when I messaged him we talked and he sent me
    his herbal medicine and told me to go for a test after two
    weeks. Within 7 days of medication the symptoms
    disappeared and when I went for a test Lo and behold I was
    NEGATIVE by the Doctor Who tested me earlier. Thank you DR
    Ebhota because I forever owe you my life and I'll keep on
    telling the world about you. If you are going through same
    situation worry no more and contact DR Ebhota via
    drebhotasolution@gmail. com or WhatsApp him via +2348089535482.
    he also special on cureing 1. HIV/AIDS2. HERPES 3. CANCER 4.
    ALS 5. HEPATITIS B 6.DIABETES 7. HUMAN PAPILOMA VIRUS DISEASE(HPV)8. 
    ALZHEIMER 9. LUPUS (Lupus Vulgaris or LupusErythematosus 

    ReplyDelete
  31. Hello everyone,i'm Evan mornacy from USA.I want to also use this medium to appreciate Mr Lux and Mrs Anna for coming on the platform to shear their experiences on how they were both cured by Dr Iyoha .I have been online looking for a genuine remedy to my illness of 1 year (Hepatitis B) until i read Mr Lux's and Mrs Anna's post.As we all know these days the truth is rear so i didn't want to believe Mr Lux and Mrs Anna until a second taught asked me to.I contacted Dr Iyoha as directed by Mr Lux and Mrs Anna and follow the procedures and everything worked out in a brief.I thought there was no actual cure for Hepatitis B until a little trial
    convinced me.From my further inquiry and experience with Dr Iyoha ,he
    has a cure for what so ever health challenging issues such DIABETES, STDS,HERPES,HIV,TUBERCULOSIS,VERTEBRAL
    ISSUE,CANCER,DIABETES,ISCHEMIC DISEASES,STROKE,RESPIRATORY
    INFECTIONS,PULMONARY DISEASE,ALZHEIMER'S DISEASE,DEHYDRATION,CIRRHOSIS,WEAK ERECTION,WATERY SPERM,PREMATURE EJACULATION,ETC.contact him via: driyohasolutiontemple@yahoo.com or call : +1 407 337 9869...

    ReplyDelete
  32. Hello, everyone! I,m here to explore blogs and forum about the wonderful and most safe cure for (Herpes Virus).I was positive to the deadly virus called herpes and i lost hope because i was out casted and rejected even by my closet friends.i searched on-line to know and enquirer about cure for Herpes and i read someone testimony  i know that nature has the power to heal everything.i contacted him to knoon how he was cured from Herpes so i decided to contact the same herbalist becausew how he can help me and he told me never to worry that he will heal me with the natural herbs from God!after 2 days of contacting him, he told me that the cure has been ready and he sent it to me via DHL and it got to me after 3 days!i used the med as he instructed me (MORNING and EVENING) and i was cured!its really like a dream but i am so happy!thats the reason i decided to also add more comment of Him so that more can be saved just like me!and if you need his help, you can email him on (drakuzasolutioncenter@gmail.com) : whatsapp+2348072437003 I,m neme amber and you can get in touch with Contact him for help at Herpes virus HIV/AIDS CANCER COPD BRAIN TUMOR All kind of virus and disease.....

    ReplyDelete
  33. I Can't still believe that i got cured from Genital Herpes through herbal treatment from Dr Oyagu who I met through the internet, I actually couldn't believe it at first because it sounded impossible to me knowing how far I have gone just to get rid of it. Dr Oyagu send me his medicine which I took as instructed and here I am living a happy life once again, a big thanks to Dr Oyagu, I am sure there are many herbal doctors out there but Dr Oyagu did it for me, contact him oyaguherbalhome@gmail.com , also call or whatsApp him on +2348101755322

    ReplyDelete
  34. FINALLY FREE FROM HERPES VIRUSI thought my life had nothing to offer anymore because lifebecame meaningless to me because I had Herpes virus, thesymptoms became very severe and bold and made my familyrun from and abandoned me so they won't get infected. I gaveup everything, my hope, dreams,vision and job because thedoctor told me there's no cure. I consumed so many drugs butthey never cured me but hid the symptoms inside me makingit worse. I was doing some research online someday when Icame across testimonies of some people of how DR Ebhotacured them from Herpes, I never believed at first and thoughtit was a joke but later decided to contact him on the detailsprovided and when I messaged him we talked and he sent mehis herbal medicine and told me to go for a test after twoweeks. Within 7 days of medication the symptomsdisappeared and when I went for a test Lo and behold I wasNEGATIVE by the Doctor Who tested me earlier. Thank you DREbhota because I forever owe you my life and I'll keep ontelling the world about you. If you are going through samesituation worry no more and contact DR Ebhota viadrebhotasolution@gmail. com or WhatsApp him via +2348089535482.he also special on cureing 1. HIV/AIDS2. HERPES 3. CANCER 4.ALS 5. HEPATITIS B 6.DIABETES 7. HUMAN PAPILOMA VIRUS DISEASE(HPV)8. ALZHEIMER 9. LUPUS (Lupus Vulgaris or LupusErythematosus 

    ReplyDelete
  35. Hello Friends i am so glad to write this article today to tell the world how Dr Oso cured my HPV virus that have been in body since five years ago, ever since then my life has been in complete,i have used so many drugs that was prescribed to me by several doctors,but it didn't cure my HPV VIRUS neither did it reduce the pain, i was checking for solution on the internet then miraculously came across Dr Oso the powerful herbalist that cure HPV INFECTION,then i contacted his email, i explained everything to him and he prepared a herbal cure and send it to me that was how i got cured from HPV disease totally after receiving his herbal medicine, so my friends why waiting and be suffering with this HPV virus when there is someone like Dr Oso that can cure any disease HIV/ CANCER/ HEPATITIS C ,HERPES VIRUS,ALS . you can contact his via: drosohaberhome@gmail.com or whatapp +2348162084839 

                                   HERE IS DR OSO SITE

    https://sites.google.com/view/drosohaberhome/home 
     
    you can also email me for more info about DR oso via jeneferalex123@gmail.com

    ReplyDelete