using loop perforation to dynamically adapt application behavior to meet real-time deadlines

Using Loop Perforation to Dynamically Adapt Application Behavior to Meet Real-Time DeadlinesHenry Hoffmann, Sasa Misailovic, Stelios Sidiroglou, Anant Agawal and Martin Rinard

CSAILMassachusetts Institute of TechnologyCambridge, MA 02139

OutlineIntroduction/MotivationProblemSolution: Loop PerforationLoop PerforationFinding Loops to PerforateControlling Perforation DynamicallyExperimentsUsing Perforation to Adapt to FaultsConclusion*

ProblemProgram is too slow

Misses real-time deadlines

*

Solution: Loop PerforationLoop Perforation:Do not execute all iterationsSkip some insteadProfile ProgramFind loops that take the most timePerforate those loopsfor (i = 0; i < n; i++) { }for (i = 0; i < n; i += 2) { } A Perforated Program: Consumes fewer computational resources Runs faster, consumes less energy, or both Can meet its real-time deadlines!Perforate: to make a hole through an object or structure*

Loop Perforation (contd)Maintain Acceptable Quality of ServiceDont Perforate Perforate Increase Speed?Q: Wont perforation change the result?A: Yes, so we target applications that have a range of acceptable outputs*

Static vs. Dynamic PerforationStatic loop perforationSpeeds up an application for some QoS lossAllows applications to be repurposedE.g., a broadcast video encoder can be transitioned to video conferencing

Dynamic loop perforationAllows full QoS unless something bad happensWhen something bad happens system adapts to maintain speed

Determine which loops to perforate using profilingOur implemented system supports both static and dynamic perforation, this talk focuses on dynamic perforation*

A Perforating CompilerC/C++ProgramRepresentativeInputsQoSMetric &BoundPerforatable LoopsResponsibility of User Provided as input to the perforating compilerQoS bound the maximum acceptable loss of QoSPerforating Compiler Maximizes speedup for QoS bound Discards loops which cause: Slow down Unacceptable QoS loss Dynamic errors in Valgrind

Result Set of Perforatable LoopsSpeedup application given QoS boundPerforation may be dynamicThis process is discussed in detail in:Misailovic, Sidiroglou, Hoffmann, Rinard. Quality of Service Profiling. To Appear, ICSE 2010*Find costly loopsProfile ProgramPerforateAnalyzeQoS

Use PARSEC Benchmarks to Test ApproachPARSEC Benchmarks* represent emerging workloads

We pick seven benchmark applications for which we can define QoS metricx264 (H.264 video encoding)bodytrack (human movement tracking)swaptions (financial analysis)ferret (content-based similarity search)canneal (engineering circuit place & route)blackscholes (financial analysis)streamcluster (online approx. of k-means)

We augment the benchmark suite with additional data sets and divide intoTraining (about 25% of inputs)Production (remaining 75% of inputs)*http://parsec.cs.princeton.edu/*

Performance/QoS Tradeoffs for PARSEC Benchmarks*

Dynamically Controlling PerforationApplication registers a heartbeat using Application Heartbeats API*Runtime monitors heartbeatHeartbeat too slow? Increase perforation to trade QoS for increased performanceHeartbeat too fast?Decrease perforation to reclaim QoSHeartbeatAPIPerforationSelectionHeartbeatAPIPerforationSelectionApplicationLoop 1Loop 2Loop iRuntimeMonitor*Hoffmann, Eastep, Santambrogio, Miller, Agarwal. Application Heartbeats for Software Performance and Health. PPoPP 2010*

Evaluation MethodologyTwo applications (from PARSEC benchmark suite):x264 (media application performs H.264 video encoding)bodytrack (computer vision application tracks a body through a scene)

Two changing environments:Core Failure: During execution 3 of 8 cores failFrequency Scaling: During execution clock frequency rises and falls

For each app and scenario:Goal: keep performance within .95 to 1.1x that of system with no failuresMeasure: Baseline performance (no failure)Performance with failure and no perforationPerformance with failure and dynamic perforation*

x264 Core Loss ExperimentLose 3 of 8 cores*

x264-core-failure1

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1312.5976012.7818422.32.521312.5810512.474880.88965512781.03121.07543791671312.3376592.2654830.81438234090.943951250.97402458331312.328862.2815941312.3358422.301342

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1332.5710142.4639162.32.521332.5740522.4384950.9896826841.01603958331.07252166671332.3427832.2619570.91803332580.94248208330.97615958331332.3310442.2562411332.3428522.291497

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1402.5853172.7279992.32.521402.5712212.459480.90156924541.02478333331.07134208331402.3342692.2511820.82521364560.93799250.97261208331402.3264272.274641402.331262.294941

1412.5667642.4672412.32.521412.5686852.4250770.98291046561.010448751.07028541671412.3316752.2153740.89791552590.92307250.971531251412.3272842.2575251412.3382672.286608

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1432.5381012.1976432.32.521432.5725092.4843241.13044930411.0351351.071878751432.3385352.2220051.0110855130.92583541670.97438958331432.3157382.2364961432.336632.257489

1442.5367562.2072672.32.521442.5647932.4153251.09426045871.00638541671.068663751442.296232.0433730.92574799510.85140541670.95676251442.3168542.2528311442.340592.267209

1452.5538892.4335762.32.521452.576522.5653851.05416268081.06891041671.073551452.3117892.1971550.90285037330.915481250.96324541671452.3284052.2393161452.323142.174603

1462.5594982.4525072.32.521462.5766342.556081.04223147991.06503333331.07359751462.311332.1967020.8956965260.91529250.96305416671462.3200972.2030851462.3161842.144022

1472.5765692.7240162.32.521472.5693422.4439180.89717461281.01829916671.07055916671472.3039942.1308970.78226302640.887873750.95999751472.2900242.1548051472.2727022.095105

1482.5782972.720032.32.521482.5485462.2971180.84451936190.95713251.06189416671482.2791992.0213130.74312158320.842213750.949666251482.2908782.1511391482.2742452.098913

1492.5625812.4723532.32.521492.5511182.3452320.94858298960.977181.06296583331492.2922952.0518880.8299332660.85495333330.95512291671492.2812092.1093131492.2727272.069836

1502.560182.430372.32.521502.4762431.9369070.79695972220.80704458331.03176791671502.2932992.0419540.84018235910.85081416670.955541251502.2802682.094071502.2570552.012583

1512.5318812.1695972.32.521512.4922472.0310380.93613606580.84626583331.038436251512.3082182.0892790.96298022170.87053291670.96175751512.2861452.1344991512.2703262.045772

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1542.5529642.4634612.32.521542.4551311.8758280.76146040060.7815951.022971251542.2679361.9957570.81014353380.83156541670.94497333331542.29332.1230481542.293442.074245

1552.5690172.751162.32.521552.470661.9150230.69607838150.797926251.02944166671552.282322.0413290.74198847030.850553750.95096666671552.2564372.0450861552.277872.111375

1562.5706482.7490122.32.521562.4728671.9382810.70508277160.80761708331.030361251562.2743551.9957850.72600083230.83157708330.94764791671562.2435852.0078991562.2691862.087343

1572.5576962.5101472.32.521572.4883121.983710.7902764260.82654583331.03679666671572.277182.0032610.79806521290.83469208330.9488251572.2319631.9592131572.2692282.057863

1582.5598342.5363712.32.521582.4576071.8498890.72934480010.77078708331.02400291671582.2838242.033690.80181093380.84737083330.95159333331582.2405641.9751961582.2819432.097927

1592.5259292.1961422.32.521592.4524721.8342630.83522058230.764276251.02186333331592.285752.0155560.91777125520.8398150.95239583331592.2543782.0392141592.2933922.117271

1602.5268642.1794662.32.521602.4475261.8276620.83858247850.76152583331.01980251602.2876052.021280.92741983590.84220.953168751602.2597922.0480391602.2972352.122791

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1782.5248282.2772562.32.521782.3195541.6034740.70412549140.66811416670.96648083331782.3310662.6281141.15407051291.09504750.97127751782.3113732.2088421782.3424792.320105

1792.5386532.6452582.32.521792.3209731.6242520.61402403850.67677166670.96707208331792.3438542.6408570.99833626811.10035708330.97660583331792.3225462.3093511792.3553292.443393

1802.5413672.6644712.32.521802.2696491.4319160.53741099080.59663166670.94568708331802.3485372.6725531.00303324751.113563750.97855708331802.3291842.3389571802.334792.347324

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1832.5105532.1800312.32.521832.2511321.6570060.76008368690.69041916670.93797166671832.3420212.6510221.21604784521.10459250.97584208331832.3128222.3023861832.3525592.411748

1842.5138692.1729352.32.521842.2481611.6307840.75049828920.67949333330.936733751842.3402272.8016231.28932664811.16734291670.97509458331842.3165022.3152331842.3578632.422674

1852.515612.2526942.32.521852.232311.5108570.67068896170.629523750.93012916671852.3377142.6753781.1876348941.11474083330.97404751852.3287962.3302261852.3580992.495147

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1872.5305092.5765822.32.521872.2331071.4655510.56879656850.610646250.930461251872.3212552.5847411.00316659821.07697541670.96718958331872.3432592.5637811872.3698382.814998

1882.5325622.6456292.32.521882.2330541.4628030.55291312580.609501250.93043916671882.3179032.5169640.95136695281.0487350.96579291671882.3406182.5465831882.3602312.747132

1892.5293262.5163312.32.521892.2446591.4870550.59096160240.619606250.93527458331892.3299492.5978751.03240591161.08244791670.97081208331892.3527732.6664611892.3594442.753418

1902.5302372.4883482.32.521902.2457051.5428980.6200491250.64287416670.93571041671902.3267712.5621971.02967792291.06758208330.96948791671902.3649092.7502981902.3168462.574287

1912.5015932.1519352.32.521912.2118931.4937030.69412087260.622376250.92162208331912.3387122.5620531.19058103521.06752208330.97446333331912.3270882.4970221912.3258592.564201

1922.5002542.1320922.32.521922.209791.7484080.82004341280.72850333330.92074583331922.3366792.5237871.18371392981.05157791670.973616251922.3303792.584281922.3251522.552955

1932.5103452.2690862.32.521932.2054751.6590020.73113227090.69125083330.91894791671932.348572.6389121.16298456741.09954666670.97857083331932.3264292.4936291932.3356842.545598

1942.5106122.2689532.32.521942.2061851.6379910.72191490970.682496250.919243751942.3178912.4068891.06079279741.00287041670.96578791671942.3382212.5302811942.3365262.519984

1952.5232452.5992932.32.521952.1600211.3741780.52867375860.57257416670.900008751952.3283472.4494370.94234739991.020598750.97014458331952.3358842.7076941952.3482512.669992

1962.5223882.5488552.32.521962.1513851.3476730.52873662880.56153041670.89641041671962.3257612.5909351.01650937381.079556250.96906708331962.3327482.7638741962.3456482.703163

1972.5191452.4878222.32.521972.1621311.3478050.54176102630.56158541670.90088791671972.3349372.5714671.03362177841.07144458330.97289041671972.3287582.8101411972.3573412.784406

1982.5184472.4627392.32.521982.1608521.3401860.54418515320.55841083330.9003551982.3356382.5372151.03024112581.05717291670.97318251982.3403132.8435261982.3307912.547563

1992.494452.1565062.32.521992.1715271.3748160.63752013670.572840.90480291671992.3110482.2804451.05747213320.95018541670.96293666671992.3314662.7008921992.3300942.489457

2002.4950782.1420022.32.522002.157551.4910680.69610952740.62127833330.89897916672002.3113082.2438581.04755177630.93494083330.9630452002.3428712.7497762002.3296952.470179

2012.5008642.2098232.32.522012.1681111.5128020.68458062030.63033416670.90337958332012.32262.2439891.01546096680.93499541670.967752012.3315632.6011732012.3410512.501151

2022.5011172.225612.32.522022.1722541.7061150.76658309410.710881250.90510583332022.3225412.2068140.99155467490.91950583330.96772541672022.3160922.5856032022.3242922.567816

2032.5131942.5377682.32.522032.1404061.4735830.58066103760.61399291670.89183583332032.3326552.2218820.87552605280.92578416670.97193958332032.3146092.5256222032.3354522.590687

2042.5131052.5060652.32.522042.128821.4277560.56972025870.59489833330.88700833332042.3341152.3312630.93024841730.97135958330.97254791672042.3257552.5841462042.3389292.597605

2052.5055052.4152782.32.522052.1187141.4381230.59542752430.59921791670.88279752052.3452982.5541871.05751263421.06424458330.97720752052.3223182.5807582052.3439442.600929

2062.5037142.3833242.32.522062.1187641.4794890.62076704640.616453750.88281833332062.3437062.5533071.07132181781.06387791670.97654416672062.3322562.6363242062.3116622.404644

2072.4885512.1529922.32.522072.118831.4306440.66449108960.59610166670.88284583332072.3460822.4836271.15357000861.03484458330.97753416672072.3288152.6111362072.3226332.410882

2082.4906792.154042.32.522082.1179891.4243920.66126534330.59349666670.88249541672082.3285822.3138671.0741987150.964111250.97024252082.3387162.6509382082.3107892.340988

2092.4941682.2032352.32.522092.1246871.4091730.63959268980.58715541670.885286252092.3373272.2989191.04342886710.95788291670.973886252092.3363032.5638662092.321652.341016

2102.4905962.1664532.32.522102.1204521.3835240.63861251550.57646833330.88352166672102.337762.2747851.05000431580.94782708330.97406666672102.3213482.4385782102.315822.297008

2112.5021712.5077362.32.522112.1288021.5645710.62389781060.65190458330.88700083332112.3304262.1593790.86108705220.899741250.97101083332112.2872822.1997022112.3266032.34701

2122.5044162.5453132.32.522122.1308561.5846330.62256901210.660263750.88785666672122.3282082.1224530.83386719040.88435541670.97008666672122.297882.2745942122.3315442.483035

2132.4973972.378412.32.522132.1007051.4380610.60463124520.59919208330.875293752132.3389562.3203360.97558284740.96680666670.9745652132.3034062.329582132.3422962.515103

2142.4967082.3687982.32.522142.1007371.432960.60493127740.59706666670.87530708332142.3427082.3581290.99549602790.982553750.97612833332142.3139792.4292892142.3364832.464377

2152.4836982.1530152.32.522152.064461.4400940.66887318480.60003916670.86019166672152.353372.4553191.14040961161.02304958330.98057083332152.318512.3940282152.3248282.33724

2162.4855372.1728552.32.522162.063651.4722570.67756799230.61344041670.85985416672162.3545442.5681591.18192838451.070066250.981062162.3290692.4522732162.314952.264165

2172.4882632.2189582.32.522172.0729931.4721430.66343887540.61339291670.86374708332172.3541952.5839861.16450424031.07666083330.98091458332172.3377922.4535482172.3254432.264247

2182.4902532.240672.32.522182.0726571.4740370.65785546290.61418208330.86360708332182.3431522.5158051.12279139721.04825208330.97631333332182.3422372.4910942182.3288352.269679

2192.4927552.4759342.32.522192.0819541.4739610.59531514170.61415041670.86748083332192.3526042.5069881.01254233761.04457833330.98025166672192.3272912.348892192.3392272.269416

2202.493912.4822342.32.522202.0804271.5305780.61661309930.63774083330.86684458332202.3371792.4056910.96916366471.002371250.97382458332202.332622.34832202.3397882.362675

2212.4928462.4146662.32.522212.0896911.5305640.63386157750.6377350.87070458332212.3354622.3148740.95867254520.96453083330.97310916672212.3248052.25062212.3501982.392951

2222.4928572.4120042.32.522222.0890031.5039650.62353337720.62665208330.87041791672222.3326852.3073160.95659708690.96138166670.97195208332222.3229322.2926052222.343192.335952

2232.4750682.1433982.32.522232.0679281.5370450.71710666890.64043541670.86163666672232.3419382.299941.07303449940.95830833330.97580752232.3278842.3997792232.3485522.330296

2242.4760012.1505522.32.522242.0410411.4346810.66712220860.597783750.850433752242.3485832.5697561.19492855791.07073166670.978576252242.3363482.4327472242.3316392.21757

2252.4805192.2494762.32.522252.0499771.536530.68306129960.64022083330.85415708332252.3478472.4837561.10414869951.03489833330.97826958332252.3415392.4026792252.3368442.242841

2262.4821862.2793432.32.522262.0481961.5231390.66823597850.634641250.8534152262.348512.5097191.10107122971.045716250.97854583332262.3439652.4063452262.3427912.276349

2272.483292.4298682.32.522272.041951.4825160.61012203130.6177150.85081252272.350252.456581.01099318981.0235750.97927083332272.3454072.3555572272.3462262.241273

2282.4854432.4320192.32.522282.0281821.4054360.57788857740.58559833330.84507583332282.3570412.5095991.03189942181.045666250.98210041672282.346632.3754662282.3563042.337929

2292.4870882.4151092.32.522292.03691.42060.58821361690.59191666670.84870833332292.3461942.6109051.08107128911.08787708330.97758083332292.3483052.3273132292.3547482.332693

2302.4886422.4682152.32.522302.0399651.4566510.59016374180.60693791670.84998541672302.3388042.5413671.02963761261.05890291670.97450166672302.3572122.3211442302.3647932.624107

2312.4639812.1208682.32.522312.0451991.4440580.68088065830.60169083330.852166252312.3421712.4830591.17077489031.03460791670.97590458332312.3403662.406272312.3611962.54694

2322.4653982.1145452.32.522322.0343061.3721660.64891785230.57173583330.84762752322.3520662.573441.21701831841.07226666670.98002752322.3451722.4192752322.3661962.586492

2332.472482.2339932.32.522332.0010781.3274570.59420821820.55310708330.83378252332.3429092.4151031.08107008391.00629291670.97621208332332.3454932.4425752332.3628232.503931

2342.4741182.2548172.32.522342.0048921.3451470.59656592970.56047791670.83537166672342.3492552.4582161.09020643361.02425666670.978856252342.3543512.4362852342.366892.526982

2352.4784562.423222.32.522352.0109471.5711140.648357970.65463083330.83789458332352.3469652.3584850.97328554570.98270208330.97790208332352.3555282.4567672352.3642232.445735

2362.4792612.4131512.32.522362.0110551.5754160.65284600920.65642333330.83793958332362.3417982.3287170.96501089240.970298750.97574916672362.3653422.5401412362.3685642.488293

2372.4800112.3934952.32.522372.019411.5755150.65824871160.65646458330.84142083332372.3428022.3203150.96942546360.96679791670.97616752372.3695732.594682372.3642872.399284

2382.4806062.3796612.32.522382.0219311.5946010.67009586660.66441708330.842471252382.3524522.5333771.06459575541.055573750.98018833332382.3793472.5946462382.3548622.482406

2392.456462.1173432.32.522392.026091.5643650.73883400090.651818750.84420416672392.3504842.4469021.15564743171.01954250.97936833332392.3525272.4638132392.3569882.501344

2402.4573542.1148092.32.522402.0274251.5820560.74808457880.659190.84476041672402.360072.5298781.19626784261.05411583330.98336252402.3482632.3757432402.3666012.571295

2412.4668322.2107562.32.522411.9974141.3404050.60631069190.55850208330.83225583332412.3593482.5861711.16981295091.077571250.98306166672412.3421252.3969612412.3525252.412231

2422.4678552.2196472.32.522421.9981161.3454350.60614818480.56059791670.83254833332422.365112.6650251.20065262631.11042708330.98546252422.3516352.5502532422.3499932.489711

2432.470892.4250542.32.522431.9931981.4189090.58510408430.59121208330.83049916672432.3586632.5094921.03481901851.04562166670.982776252432.3547352.5831182432.3489072.420018

2442.4737912.4492032.32.522441.9866771.5286310.6241340550.63692958330.82778208332442.3559412.4553431.0025069381.02305958330.98164208332442.3635752.5784632442.3355972.318669

2452.4743152.406312.32.522451.9859131.4676360.60991144120.6115150.827463752452.355582.3716180.98558290490.98817416670.98149166672452.3653542.6149192452.3387272.312224

2462.4761252.4093542.32.522461.9802961.4388950.59721194980.59953958330.82512333332462.3312572.1756110.90298519850.90650458330.97135708332462.3747852.6222362462.3480532.556316

2472.450222.127272.32.522471.9868831.5196810.71438087310.63320041670.82786791672472.3327872.1881931.02863905380.91174708330.97199458332472.3715572.6217752472.3466212.479808

2482.4520532.1251542.32.522481.9887441.6265950.76540100150.67774791670.82864333332482.3419962.3335921.09808136260.972330.97583166672482.348362.4000732482.3493162.573506

2492.4616962.2030362.32.522491.9629691.3849050.62863475680.577043750.817903752492.3454412.294221.04139015430.9559250.97726708332492.346092.3988522492.350912.517484

2502.4640732.2118612.32.522501.9645571.3767510.62244010810.573646250.81856541672502.3546252.4916411.12649076951.038183750.981093752502.3430282.4644442502.3522552.565142

2512.462892.4502962.32.522511.966471.3594340.5548039910.56643083330.81936252512.3588472.5476151.03971724231.061506250.98285291672512.3428912.6894372512.3357142.385217

2522.4657572.4699532.32.522521.9684861.4296110.57880089220.595671250.82020252522.3680262.668561.08040922241.11190.98667752522.3403782.5960542522.3439252.412138

2532.4673692.4090992.32.522531.9750241.7139340.71144191250.71413916670.82292666672532.3763812.6695281.10810224071.11230333330.990158752532.3458752.6025942532.343252.348372

2542.4699662.4222052.32.522541.9737851.6694380.68922242340.69559916670.82241041672542.3464272.3303780.96208950110.97099083330.97767791672542.3436332.5170092542.3279422.283089

2552.4447172.1063722.32.522551.9755861.6361070.77674171510.681711250.82316083332552.3418842.2979211.0909378780.95746708330.9757852552.3518082.5495372552.3310172.365022

2562.4476482.1263612.32.522561.9713641.5977020.75137852890.66570916670.82140166672562.3464362.3308611.09617369770.97119208330.97768166672562.3492522.4651432562.3330992.436742

2572.4566422.2089492.32.522571.951531.3939480.6310458050.58081166670.81313752572.3553832.3951411.08428985910.99797541670.98140958332572.3582232.4761612572.3420382.436819

2582.4595222.2327412.32.522581.9530731.3881490.62172414980.57839541670.81378041672582.3584892.3696061.06129909380.98733583330.982703752582.3497362.3916642582.3460952.445323

2592.4652392.5757062.32.522591.9537261.3675890.53095694930.569828750.81405252592.3674032.5436940.98757156291.05987250.98641791672592.352262.4997692592.3550042.445735

2602.4680892.6052392.32.522601.9570211.3796910.52958327430.574871250.81542541672602.3659962.5986380.99746625931.08276583330.98583166672602.3536172.4768052602.3589822.470978

2612.4773482.6120912.32.522611.9643841.6368570.62664623860.682023750.81849333332612.3748832.6624491.01927880771.109353750.98953458332612.3624792.5959662612.3678642.470948

2622.4802042.6407452.32.522621.9669581.6536550.62620775580.68902291670.81956583332622.3727082.5462720.96422486841.06094666670.98862833332622.3601252.5914462622.3701492.532594

2632.4705522.4664382.32.522631.9743151.7697710.71754124770.73740458330.822631252632.3815762.7334651.10826422561.138943750.99232333332632.3689462.6286042632.3692642.492361

2642.4669292.3858552.32.522641.9732241.8220740.76369854830.75919750.82217666672642.3702272.548441.06814538181.061850.98759458332642.3693812.5741022642.3549912.495589

2652.4724262.4494252.32.522651.9738361.8364760.74975800440.76519833330.82243166672652.3789982.6651531.08807291511.11048041670.99124916672652.3781332.608462652.3421912.372868

2662.4708062.4069532.32.522661.958311.7221780.71550129980.71757416670.81596252662.3809372.743131.13966911691.14297083330.99205708332662.3749392.5674862662.3430482.344507

2672.4718132.7750642.32.522671.9527931.610220.58024607720.6709250.813663752672.3750452.6661410.96074937371.11089208330.98960208332672.3732832.5457532672.351662.38312

2682.4709442.7330992.32.522681.9462871.5376050.56258664610.640668750.81095291672682.3713712.5337110.92704691631.05571291670.988071252682.3688272.5044522682.352182.328847

2692.4748822.6524922.32.522691.952831.8343980.69157531860.76433250.81367916672692.3748182.5892650.97616317031.07886041670.98950752692.3462692.3346322692.360762.395938

2702.4768092.6486282.32.522701.9515361.8016850.68023331320.75070208330.813142702.353742.3040940.86991982260.96003916670.9807252702.3460832.2838142702.3619552.3457

2712.4661752.508342.32.522711.9432641.6917180.67443727720.70488250.80969333332712.3614442.3784890.94823229710.99103708330.9839352712.3513142.4168952712.3705322.426172

2722.4689892.510622.32.522721.944311.6828640.67029817340.70119333330.81012916672722.3624272.3409170.93240593960.97538208330.98434458332722.3541732.4080082722.3732532.41522

2732.4623022.3997162.32.522731.9513271.6933020.70562599910.70554250.81305291672732.3708962.4753091.03150081091.031378750.98787333332732.3610872.4566342732.3510022.284158

2742.4633862.3824732.32.522741.9538931.7314190.72673184540.72142458330.81412208332742.3711062.5026721.05045135871.042780.98796083332742.3648452.4284462742.3429962.211822

2752.4658682.7729482.32.522751.9484731.6573330.59767907660.69055541670.811863752752.3795812.5965190.93637493381.08188291670.99149208332752.3732782.4837012752.3513682.278283

2762.4685212.772312.32.522761.945161.6613840.59927785850.69224333330.81048333332762.3807162.8845881.04049979981.20191166670.9919652762.3774882.4520922762.3555482.281266

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2782.4722322.6495612.32.522781.9461231.8603890.70214990330.77516208330.81088458332782.3870612.8407641.07216403021.18365166670.994608752782.3666292.2933892782.3645032.423796

2792.4631922.4368972.32.522791.9338941.7084380.70107107520.71184916670.80578916672792.3815572.7321511.12115981921.138396250.99231541672792.3745942.5162112792.3728322.472561

2802.4658632.4371822.32.522801.9258581.5945170.65424617450.66438208330.80244083332802.3794122.6092291.07059259421.087178750.99142166672802.3738782.540872802.370592.394917

2812.4581022.2310422.32.522811.932621.5948070.71482607680.66450291670.80525833332812.3565562.3374921.04771313140.9739550.98189833332812.3821782.6570872812.3760492.529046

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2842.4629042.4107892.32.522841.929771.4938770.61966310610.622448750.80407083332842.3641182.5260051.04779182251.05250208330.98504916672842.3738522.4388042842.3665932.575985

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4752.4239862.4241312.32.524751.7588411.6847550.69499338110.701981250.73285041674752.4000342.3030540.95005344180.95960583331.00001416674752.4138792.5529094752.3870682.384802

4762.4243372.4301932.32.524761.7429591.445220.59469350790.6021750.72623291674762.4049842.3941090.98515179660.99754541671.00207666674762.4178832.547184762.3884022.555473

4772.4207062.392352.32.524771.7462751.4406070.6021723410.60025291670.72761458334772.4050482.4058591.0056467491.002441251.00210333334772.4087982.4467054772.3926662.546609

4782.4208172.3747952.32.524781.7465211.4370050.60510696710.59875208330.72771708334782.4075232.5262731.06378571621.052613751.00313458334782.3959792.2497844782.3815582.392659

4792.4236622.4054882.32.524791.7501131.7296520.71904411910.72068833330.729213754792.407152.484541.03286318621.0352251.00297916674792.3978492.4999564792.3828082.382518

4802.4249842.463772.32.524801.7462331.6556980.67201808610.68987416670.72759708334802.4068142.3979950.97330310870.99916458331.00283916674802.400292.4685144802.3819122.377477

4812.4233852.47252.32.524811.7498171.6557740.66967603640.68990583330.72909041674812.4088082.3964260.96923195150.99851083331.003674812.400352.4604544812.3867412.399543

4822.424612.4925972.32.524821.745361.5278370.61294986710.636598750.72723333334822.4100842.3494860.94258558440.97895251.00420166674822.4052412.4674484822.3848722.385257

4832.4231762.4019992.32.524831.7486621.5410810.64158269840.64211708330.72860916674832.4110732.4066931.00195420561.002788751.004613754832.4063322.4734114832.3897142.458694

4842.4249182.4237492.32.524841.7463161.478520.61001366070.616050.72763166674842.4152172.6006251.07297620341.083593751.00634041674842.4112142.4734114842.3893122.441788

4852.4206422.3871132.32.524851.7493131.4689120.61535084430.61204666670.72888041674852.410192.4787391.0383836041.03280791671.00424583334852.4149382.5389544852.3941322.592453

4862.422432.4086062.32.524861.7497171.4945920.62052157970.62274666670.729048754862.4094622.386510.99082622890.99437916671.00394254862.4131762.4527364862.3895832.602493

4872.4236482.4040312.32.524871.7421441.5220010.63310373290.63416708330.72589333334872.410272.4865051.0343065461.036043751.00427916674872.4043652.3228324872.3943822.604058

4882.4247412.4346482.32.524881.7413761.7201340.70652266780.71672250.72557333334882.4151252.6361991.08278445181.098416251.00630208334882.4092032.3635084882.3927832.578044

4892.4238812.4848492.32.524891.7443441.7137730.68968899120.71407208330.726814892.4163032.6347681.06033324361.097821.00679291674892.4102862.3842964892.385932.43141

4902.4240692.4808052.32.524901.7454071.7244680.69512436490.71852833330.72725291674902.4211332.6346921.06203107461.09778833331.00880541674902.4138032.5752164902.3854172.39278

4912.4240212.4324332.32.524911.7481091.7056580.70121479190.71069083330.728378754912.4220682.6136411.07449660481.08901708331.0091954912.4109292.537644912.3861662.402229

4922.4253492.4476932.32.524921.74471.5963090.65216879730.665128750.72695833334922.4110562.4457230.99919516051.019051251.00460666674922.4091572.4897794922.386462.391223

4932.420352.3596322.32.524931.7401361.4453960.61255144870.60224833330.72505666674932.4102762.6718321.13230876681.11326333331.00428166674932.4108922.5803264932.3884242.440721

4942.4220982.3933582.32.524941.7406361.4465230.60439056760.60271791670.7252654942.4145652.7596261.15303519161.14984416671.006068754942.4096772.5607414942.3900312.494873

4952.4228952.3972132.32.524951.7422251.42240.5933557010.59266666670.72592708334952.4097782.5675261.07104625251.06980251.00407416674952.4060912.4486284952.3803552.351121

4962.4229132.3894582.32.524961.7349871.5643410.65468445150.651808750.722911254962.4140612.5588271.07088176481.06617791671.005858754962.407792.4682154962.3792392.282589

4972.4247432.5254122.32.524971.7384311.5699030.621642330.654126250.724346254972.413442.4625510.97510861591.02606291671.00564972.4050442.3740624972.383942.339127

4982.4252212.5357222.32.524981.7400581.5984120.63035774430.6660050.72502416674982.4118342.4778360.97717178781.03243166671.00493083334982.4060152.3798364982.3827452.276027

4992.4230232.407772.32.524991.7408131.5438980.64121490010.64329083330.725338754992.4115962.3933240.99400025750.99721833331.00483166674992.4068282.3949634992.3869562.32662

5002.4248222.4209322.32.525001.7418021.6416290.67809793910.68401208330.72575083335002.4163332.4532411.01334568671.022183751.00680541675002.4115442.4326585002.3852792.256012

5012.421072.3665782.32.525011.733971.4233230.60142661680.593051250.72248755012.4029282.3484930.99235816440.978538751.001225012.410562.4035345012.3899562.25614

5022.4229052.3824612.32.525021.7356261.5295990.64202478030.63733291670.72317755022.4076282.5530661.07160872731.06377751.00317833335022.4152322.4622055022.3937792.351265

5032.4223482.4024782.32.525031.7366431.4889640.61976176260.62040166670.723601255032.407662.6559441.10550190261.10664333331.00319166675032.417472.4481845032.3963282.507579

5042.4229012.3750042.32.525041.7366021.5302050.6442957570.63758541670.72358416675042.4093882.6611461.12048063921.10881083331.00391166675042.4193342.5160335042.3867712.357378

5052.4234842.4946372.32.525051.738061.5030930.60252974680.626288750.72419166675052.414072.660991.06668425111.10874583331.00586255052

using loop perforation to dynamically adapt application behavior to meet real-time deadlines

Documents

wont perforation

qos boundperforation

qos metricx264

qos bound discards loops

qos lossallows applications

application behavior

benchmark applications

perforate increase speed