diff --git a/rqe-optimizer/results/case-studies/README.md b/rqe-optimizer/results/case-studies/README.md new file mode 100644 index 00000000..1d152525 --- /dev/null +++ b/rqe-optimizer/results/case-studies/README.md @@ -0,0 +1,176 @@ +# §6.3.1 case studies: when the plan changes + +The two case studies of §6.3.1 (performance monitoring, anomaly detection), +each swept one knob at a time to find where the planner's plan stops being +the obvious one. Every table is planned by the ASAP planner (via +`autosketch_vs_asap`) at 95% accuracy under CPU weights (cost in vCPU), with +no SLA and at a grid of batch latency SLAs. Only ASAP's plans are reported; +the result files also hold the runner's baselines. + +The base workloads reproduce the paper draft's ASAP plans exactly: +performance monitoring 0.105 vCPU (2 MVs), anomaly detection 0.114 (3). + +## Findings + +Four knobs change the plan in ways that are not obvious from the workload. +Costs are ASAP's cheapest plan, vCPU (MVs). + +### 1. Performance monitoring: a latency SLA builds a hierarchy of windows + +The cheapest plan answers every `quantile_over_time` from one 15 s tumbling +MV, so the 24h query merges 5,760 windows per series. Its batch latency is +23.8 s. As the SLA tightens, the planner adds coarser MVs, each serving only +the lookbacks long enough to use it: + +| Batch SLA | ASAP | Per-series MVs (window/slide → queries) | +|---|---|---| +| none (23.8 s) | 0.105 (2) | 15s → 1m, 10m, 30m, 6h, 24h | +| 10 s | 0.122 (3) | 15s → 1m; 60s → 10m, 30m, 6h, 24h | +| 1 s | 0.126 (3) | 15s → 1m, 10m, 30m; 30m → 6h, 24h | +| 100 ms | 0.229 (4) | 15s → 1m; 2m/1m → 10m, 30m; 1h/30m → 6h, 24h | +| 10 ms | 1.24 (5) | one sliding MV per lookback pair, ≤ 3 merges each | + +The plan at 1 s is not "one MV per dashboard": the 30m query joins the 15 s +MV, and only the 6h and 24h queries get a 30 min tumbling window. A 100× +tighter SLA (1 s → 10 ms) costs 10× (0.126 → 1.24). + +### 2. Performance monitoring: how often the long dashboard refreshes + +The 6h/24h dashboard refreshes every `long_interval`: + +| long_interval | ASAP | Per-series MVs | +|---|---|---| +| 30 min | 0.105 (2) | 15s → all six | +| 5 min | 0.131 (3) | 15s → 1m–30m; 5m → 6h, 24h | +| 1 min | 0.216 (3) | 15s → 1m; 2m/1m → 10m–24h | +| 15 s | 0.627 (3) | 15s → 1m; 2m/15s → 10m–24h | + +Merging 5,760 windows is cheap once every 30 min, not every 15 s, so a +refresh rate the operator picks in a dashboard decides whether long lookbacks +get their own coarser MV. + +### 3. Performance monitoring: less data, more MVs + +Samples per second per series (`per_series`; 200 is the base): + +| per_series | ASAP | Per-series MVs | +|---|---|---| +| 20 | 0.0197 (4) | 15s → 1m; 60s → 10m, 30m; 30m → 6h, 24h | +| 50 | 0.0368 (3) | 15s → 1m; 60s → 10m–24h | +| 100 | 0.0651 (3) | 15s → 1m; 60s → 10m–24h | +| 200 | 0.105 (2) | 15s → all six | +| 500, 1000 | 0.218, 0.406 (2) | 15s → all six | + +Ingest CPU scales with the sample rate; query-time merging scales with +series × windows and does not. At low rates an extra MV's ingest is cheaper +than the merges it saves, so the planner maintains more MVs for less data. +At 200/s: ingest 0.075 + query 0.029 vCPU with 2 MVs. + +### 4. Anomaly detection: one more query makes the plan cheaper + +The base workload's six groupings have no common finer grouping among them, +so ASAP needs 3 MVs: (region, service, status) serves four queries by roll-up +and the two endpoint groupings each get their own. Adding a seventh query, a +drill-down p99 by (region, service, endpoint, status) every 5 min (groups +holding ≥ 1% of requests), lets one MV at the finest grouping serve all +seven. Ingest is paid once instead of three times: + +| endpoints per service | ASAP, 6 queries | ASAP, + drill-down | Plan with drill-down | +|---|---|---|---| +| 2 | 0.113 (3) | 0.0388 (1) | finest, 15 s → all 7 | +| 10 | 0.113 (3) | 0.0435 (1) | finest, 15 s → all 7 | +| 25 | 0.114 (3) | 0.0522 (1) | finest, 15 s → all 7 | +| 50 | 0.114 (3) | 0.0668 (1) | finest, 15 s → all 7 | +| 100 | 0.114 (3) | 0.0776 (2) | (service, region), 15 s → 3 coarse queries every 15 s / 1 min; finest, 60 s → the other 4 | + +The drill-down halves the cost at 25 endpoints (0.114 → 0.052). Rolling up +gets more expensive as the finest grouping grows (2,000 → 40,000 groups), +because the `by (service)` and `by (region)` queries merge every fine group's +20 windows every 15 s. At 100 endpoints that query cost exceeds a second MV's +ingest, and the planner splits the frequent coarse queries off to a +(service, region) MV. A latency SLA has the same effect at 25 endpoints: +2 MVs at 30 ms (0.076), 3 at 10 ms (0.113), 5 at 3 ms (0.188). + +### Knobs that do not change the plan + +- **Series count** (performance, 1e4–1e5) and **ingest rate** (anomaly, + 2.5e5–2e7 samples/s): every cost scales linearly and the plan is unchanged. +- **Status cardinality** (anomaly, 2–16) and **endpoints without the + drill-down** (2–100): `by (service)` moves between the (service, endpoint) + and (region, service, status) MVs, whichever has fewer groups to merge, + but the cost changes by < 1%. +- **One interval for every anomaly query** (15 s, 1 min, 5 min): the same 3 + MVs with window = interval. +- **Anomaly batch SLA** (0.3–3 ms; the cheapest plan is 3.3 ms): at 2 ms the + 15 s queries roll up from a (service, region) MV instead of + (region, service, status). Real, but at sub-ms SLAs. + +## Suggested §6.3.1 text + +> **Performance monitoring.** [workload as in the draft] Without a latency +> target, LiteOlly keeps one DDSketch per series in 15 s tumbling windows and +> answers every lookback, 1 min to 24 h, by merging 4 to 5,760 windows +> (0.10 vCPU). Two changes an +> operator makes without thinking about synopses change that plan. First, +> refreshing the 24 h dashboard every minute instead of every 30 min makes +> the merges dominate: LiteOlly adds a 2 min window, sliding every minute, +> for all lookbacks of 10 min and up (0.22 vCPU). Second, a +> 1 s latency target on the dashboards gives the 6 h and 24 h queries a +> 30 min tumbling MV, while the 30 min query stays on the 15 s one. Less +> obviously, lower sample rates lead to *more* MVs: at 20 samples/s per +> series ingest is cheap enough that LiteOlly maintains three per-series +> window sizes (15 s, 1 min, 30 min) to save merges, while at 200 samples/s +> one suffices. +> +> **Anomaly detection.** [workload as in the draft] LiteOlly keeps one +> DDSketch per (region, service, status) group in 15 s windows and rolls it up +> for four queries; the two endpoint groupings get their own MVs (3 MVs, +> 0.11 vCPU). When the operator adds a seventh query, a drill-down by all +> four labels, the plan gets *cheaper*: one MV at the finest grouping now +> serves all seven queries and ingest is paid once (0.05 vCPU). This sharing has a limit LiteOlly finds on its own: with 100 +> endpoints per service the finest grouping has 40,000 groups, and merging +> them every 15 s for the per-service and per-region queries costs more than +> a second MV, so LiteOlly splits those queries off to a (service, region) MV. + +## Caveats + +- CPU weights only: memory is free, so the base performance plan holds + 18 GiB of 15 s windows. Fargate weights would favor coarser windows. +- The drill-down covers groups holding ≥ 1% of requests: at every group, the + smallest (region, service, endpoint, status) groups fall below the + saturation curves' first N (1e3 items) and the query is unservable. +- The anomaly metric is named `requests`, not `http`, so no Hydra grid (whose + accuracy is measured at `http`'s schema only) is a candidate. +- Sweep grids stop where a query falls below the curves: per-series rates + below 20/s, anomaly ingest below 2.5e5/s, and 16 statuses at most (status + has Zipf skew 2.0, so its tail groups are tiny), and series from 1e4 (at + 1e3 the per-job instant queries fall below the curves). +- One run (`--runs 1`); costs are deterministic, planning times are not + reported. + +## Files + +| File | What it is | +|---|---| +| `inputs/tables/--.json` | one table per sweep point (`scripts/case_study_tables.py`); `base-0` is the draft's workload | +| `inputs/tables/plan.tsv` | each table and its SLA grid (ms) | +| `---tp95.json` | the runner's result, with each plan's `chosen` | +| `summary.md` | every table: ASAP's cost, MVs and latency with no SLA and per SLA, and each distinct plan (`scripts/summarize_case_studies.py`) | + +## Reproduce + +```sh +cargo build --release -p rqe-optimizer --examples +DIR=rqe-optimizer/results/case-studies +SAT=$(mktemp -d); cp -r rqe-optimizer/results/autosketch-vs-asap-inputs/saturation/out_* $SAT/ +cp -r rqe-optimizer/results/autosketch-vs-asap-hydra/inputs/saturation/* $SAT/ +python3 scripts/case_study_tables.py --out $DIR/inputs/tables +while IFS=$'\t' read -r table slas; do + target/release/examples/autosketch_vs_asap synthetic --table $DIR/inputs/tables/$table \ + --target p95 --runs 1 --weights cpu --slas-ms $slas --saturation-dir $SAT \ + --out $DIR/${table%.json}-tp95.json +done < $DIR/inputs/tables/plan.tsv +python3 scripts/summarize_case_studies.py $DIR/*-tp95.json > $DIR/summary.md +``` + +The whole sweep (38 tables) plans in under a minute. diff --git a/rqe-optimizer/results/case-studies/anomaly-base-0-tp95.json b/rqe-optimizer/results/case-studies/anomaly-base-0-tp95.json new file mode 100644 index 00000000..4a0c02f6 --- /dev/null +++ b/rqe-optimizer/results/case-studies/anomaly-base-0-tp95.json @@ -0,0 +1,8004 @@ +{ + "autosketch": { + "benchmark_secs_paper_rate": 180.0, + "distinct_probes": 3, + "probed_configs": [ + { + "distinct_keys": 0.0, + "metric": "requests", + "params": { + "alpha": 0.1 + }, + "sketch": "dd", + "tail_index": 2.0, + "zipf_s": null + }, + { + "distinct_keys": 0.0, + "metric": "requests", + "params": { + "k": 25 + }, + "sketch": "kll-percall", + "tail_index": 2.0, + "zipf_s": null + }, + { + "distinct_keys": 0.0, + "metric": "requests", + "params": { + "k": 50 + }, + "sketch": "kll-percall", + "tail_index": 2.0, + "zipf_s": null + } + ], + "probes": 18, + "search_secs": 0.000127119 + }, + "cost_model": "w_cpu * AUC(CPU) + w_mem * AUC(memory), billed by use; latency = longest chain, reported", + "dropped_unservable": { + "asap": [], + "autosketch": [] + }, + "excluded_high_cardinality": [], + "frontier": { + "asap_norollup_tightest_bound_ms": 0.297029702970297, + "asap_tightest_bound_ms": 0.297029702970297, + "autosketch_latency_ms": 0.297029702970297, + "perquery_tightest_bound_ms": 0.297029702970297, + "points": 12 + }, + "notes": [ + "0 families skipped: they serve another capability", + "one metric per stream: groups from the table, samples/s = max over the stream's RQEs, scraped once a second", + "streams with more keys than samples/s, left out: {}", + "costs: optimizer_cost/rqe_atomic_costs.json under the saturation dir, one row per config", + "data shape per stream: the families' grid_param/grid_K, the harder side over its RQEs", + "query_cpu_secs = q_r queries per instance per evaluation" + ], + "results": [ + { + "active_deployments": 6, + "bound_ms": 0.297029702970297, + "chosen": [ + { + "accuracy_source": "Measured", + "asap_accuracy": 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10,30,100,300,1000,3000,10000 +perf-series-10000.json 10,30,100,300,1000,3000,10000 +perf-series-30000.json 10,30,100,300,1000,3000,10000 +perf-series-100000.json 10,30,100,300,1000,3000,10000 +perf-per_series-20.json 10,30,100,300,1000,3000,10000 +perf-per_series-50.json 10,30,100,300,1000,3000,10000 +perf-per_series-100.json 10,30,100,300,1000,3000,10000 +perf-per_series-200.json 10,30,100,300,1000,3000,10000 +perf-per_series-500.json 10,30,100,300,1000,3000,10000 +perf-per_series-1000.json 10,30,100,300,1000,3000,10000 +anomaly-base-0.json 0.3,0.5,1,2,3 +anomaly-endpoints-2.json 0.3,0.5,1,2,3 +anomaly-endpoints-5.json 0.3,0.5,1,2,3 +anomaly-endpoints-10.json 0.3,0.5,1,2,3 +anomaly-endpoints-25.json 0.3,0.5,1,2,3 +anomaly-endpoints-50.json 0.3,0.5,1,2,3 +anomaly-endpoints-100.json 0.3,0.5,1,2,3 +anomaly-drilldown_endpoints-2.json 3,10,30,100 +anomaly-drilldown_endpoints-5.json 3,10,30,100 +anomaly-drilldown_endpoints-10.json 3,10,30,100 +anomaly-drilldown_endpoints-25.json 3,10,30,100 +anomaly-drilldown_endpoints-50.json 3,10,30,100 +anomaly-drilldown_endpoints-100.json 3,10,30,100 +anomaly-statuses-2.json 0.3,0.5,1,2,3 +anomaly-statuses-4.json 0.3,0.5,1,2,3 +anomaly-statuses-8.json 0.3,0.5,1,2,3 +anomaly-statuses-16.json 0.3,0.5,1,2,3 +anomaly-rate-250000.json 0.3,0.5,1,2,3 +anomaly-rate-500000.json 0.3,0.5,1,2,3 +anomaly-rate-2000000.json 0.3,0.5,1,2,3 +anomaly-rate-20000000.json 0.3,0.5,1,2,3 +anomaly-interval-15.json 0.3,0.5,1,2,3 +anomaly-interval-60.json 0.3,0.5,1,2,3 +anomaly-interval-300.json 0.3,0.5,1,2,3 diff --git a/rqe-optimizer/results/case-studies/perf-base-0-tp95.json b/rqe-optimizer/results/case-studies/perf-base-0-tp95.json new file mode 100644 index 00000000..0738c4e3 --- /dev/null +++ b/rqe-optimizer/results/case-studies/perf-base-0-tp95.json @@ -0,0 +1,10571 @@ +{ + "autosketch": { + "benchmark_secs_paper_rate": 180.0, + "distinct_probes": 3, + "probed_configs": [ + { + "distinct_keys": 0.0, + "metric": "data", + "params": { + 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a/rqe-optimizer/results/case-studies/perf-per_series-200-tp95.json b/rqe-optimizer/results/case-studies/perf-per_series-200-tp95.json new file mode 100644 index 00000000..59c5fe63 --- /dev/null +++ b/rqe-optimizer/results/case-studies/perf-per_series-200-tp95.json @@ -0,0 +1,10571 @@ +{ + "autosketch": { + "benchmark_secs_paper_rate": 180.0, + "distinct_probes": 3, + "probed_configs": [ + { + "distinct_keys": 0.0, + "metric": "data", + "params": { + "alpha": 0.1 + }, + "sketch": "dd", + "tail_index": 2.0, + "zipf_s": null + }, + { + "distinct_keys": 0.0, + "metric": "data", + "params": { + "k": 25 + }, + "sketch": "kll-percall", + "tail_index": 2.0, + "zipf_s": null + }, + { + "distinct_keys": 0.0, + "metric": "data", + "params": { + "k": 50 + }, + "sketch": "kll-percall", + "tail_index": 2.0, + "zipf_s": null + } + ], + "probes": 24, + "search_secs": 0.000224385 + }, + "cost_model": "w_cpu * AUC(CPU) + w_mem * AUC(memory), billed by use; latency = longest chain, reported", + 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b/rqe-optimizer/results/case-studies/perf-per_series-500-tp95.json new file mode 100644 index 00000000..9809d6b3 --- /dev/null +++ b/rqe-optimizer/results/case-studies/perf-per_series-500-tp95.json @@ -0,0 +1,10151 @@ +{ + "autosketch": { + "benchmark_secs_paper_rate": 180.0, + "distinct_probes": 3, + "probed_configs": [ + { + "distinct_keys": 0.0, + "metric": "data", + "params": { + "alpha": 0.1 + }, + "sketch": "dd", + "tail_index": 2.0, + "zipf_s": null + }, + { + "distinct_keys": 0.0, + "metric": "data", + "params": { + "k": 25 + }, + "sketch": "kll-percall", + "tail_index": 2.0, + "zipf_s": null + }, + { + "distinct_keys": 0.0, + "metric": "data", + "params": { + "k": 50 + }, + "sketch": "kll-percall", + "tail_index": 2.0, + "zipf_s": null + } + ], + "probes": 24, + "search_secs": 0.000172433 + }, + "cost_model": "w_cpu * AUC(CPU) + w_mem * AUC(memory), billed by use; latency = longest chain, reported", + "dropped_unservable": { + "asap": [], + "autosketch": [] + }, + 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"asap_accuracy": 0.04837709996663131, + "deployment": 26, + "ingest_workers": 1.0, + "latency_ms": 586.3643564356437, + "merged_shards": 48, + "params": { + "alpha": 0.1 + }, + "rqe": "synthetic/case/perf/series=30000/quantile_over_time_p0.9/values/86400s", + "sketch": "dd", + "slide_secs": 1800, + "window_secs": 1800 + } + ], + "cpu": 0.9176990671067108, + "cpu_parts": { + "compaction": 0.0, + "ingest": 0.9038880000000001, + "query": 0.013811067106710673 + }, + "gib": 1.0703466539994837, + "gib_parts": { + "compaction": 0.0, + "ingest": 0.05633264780044556, + "query": 0.0001327400819421208, + "storage": 1.013881266117096 + }, + "infeasible": false, + "latency_ms": 586.3643564356437, + "median_latency_ms": 115.16435643564358, + "method": "perquery", + "milp_solve_secs": 0.000960368, + "objective": 0.9176990671067108, + "rolled_up_rqes": 0, + "rqes": 8, + "sla_ms": 10000.0, + "weights": "cpu" + }, + { + "active_deployments": 8, + "benchmark_secs_paper_rate": 180.0, + "chosen": [ + { + "accuracy_source": "Measured", + "asap_accuracy": 0.04879801440596865, + "deployment": 0, + "ingest_workers": 1.0, + "latency_ms": 0.001188118811881188, + "merged_shards": 1, + "params": { + "alpha": 0.1 + }, + "rqe": "synthetic/case/perf/series=30000/quantile_by_job_p0.5/values/0.005s", + "sketch": "dd", + "slide_secs": 0.005, + "window_secs": 0.005 + }, + { + "accuracy_source": "Measured", + "asap_accuracy": 0.04879801440596865, + "deployment": 1, + "ingest_workers": 1.0, + "latency_ms": 0.001188118811881188, + "merged_shards": 1, + "params": { + "alpha": 0.1 + }, + "rqe": "synthetic/case/perf/series=30000/quantile_by_job_p0.9/values/0.005s", + "sketch": "dd", + "slide_secs": 0.005, + "window_secs": 0.005 + }, + { + "accuracy_source": "Measured", + "asap_accuracy": 0.04849697375156901, + "deployment": 2, + "ingest_workers": 1.0, + "latency_ms": 3.564356435643564, + "merged_shards": 1, + "params": { + "alpha": 0.1 + }, + "rqe": "synthetic/case/perf/series=30000/quantile_over_time_p0.5/values/60s", + "sketch": "dd", + "slide_secs": 15, + "window_secs": 60 + }, + { + "accuracy_source": "Measured", + "asap_accuracy": 0.04849697375156901, + "deployment": 3, + "ingest_workers": 1.0, + "latency_ms": 3.564356435643564, + "merged_shards": 1, + "params": { + "alpha": 0.1 + }, + "rqe": "synthetic/case/perf/series=30000/quantile_over_time_p0.9/values/60s", + "sketch": "dd", + "slide_secs": 15, + "window_secs": 60 + }, + { + "accuracy_source": "Measured", + "asap_accuracy": 0.04825214331846647, + "deployment": 4, + "ingest_workers": 2.0, + "latency_ms": 15.964356435643566, + "merged_shards": 1, + "params": { + "alpha": 0.1 + }, + "rqe": "synthetic/case/perf/series=30000/quantile_over_time_p0.9/values/600s", + "sketch": "dd", + "slide_secs": 60, + "window_secs": 600 + }, + { + "accuracy_source": "Measured", + "asap_accuracy": 0.048337479744294316, + "deployment": 5, + "ingest_workers": 4.0, + "latency_ms": 40.76435643564356, + "merged_shards": 1, + "params": { + "alpha": 0.1 + }, + "rqe": "synthetic/case/perf/series=30000/quantile_over_time_p0.9/values/1800s", + "sketch": "dd", + "slide_secs": 60, + "window_secs": 1800 + }, + { + "accuracy_source": "Measured", + "asap_accuracy": 0.048400135938572286, + "deployment": 6, + "ingest_workers": 2.0, + "latency_ms": 15.964356435643566, + "merged_shards": 1, + "params": { + "alpha": 0.1 + }, + "rqe": "synthetic/case/perf/series=30000/quantile_over_time_p0.9/values/21600s", + "sketch": "dd", + "slide_secs": 1800, + "window_secs": 21600 + }, + { + "accuracy_source": "Measured", + "asap_accuracy": 0.04837709996663131, + "deployment": 7, + "ingest_workers": 6.0, + "latency_ms": 65.56435643564357, + "merged_shards": 1, + "params": { + "alpha": 0.1 + }, + "rqe": "synthetic/case/perf/series=30000/quantile_over_time_p0.9/values/86400s", + "sketch": "dd", + "slide_secs": 1800, + "window_secs": 86400 + } + ], + "cpu": 12.429926178217823, + "cpu_parts": { + "compaction": 0.0008680000000000001, + "ingest": 12.428460000000001, + "query": 0.0005981782178217821 + }, + "gib": 4.374724785242942, + "gib_parts": { + "compaction": 0.000029231309890747078, + "ingest": 4.318362772464752, + "query": 1.3366785379919676e-7, + "storage": 0.05633264780044556 + }, + "latency_ms": 65.56435643564357, + "median_latency_ms": 15.964356435643566, + "meets_sla": true, + "method": "autosketch", + "objective": 12.429926178217823, + "planning_secs": 0.000177686, + "probes": 24, + "rolled_up_rqes": 0, + "rqes": 8, + "sla_ms": 10000.0, + "weights": "cpu" + } + ], + "streams": 2, + "weights": [ + { + "name": "cpu", + "w_cpu": 1.0, + "w_mem": 0.0 + } + ], + "workload": "synthetic/case/perf/series=30000/tp95" +} diff --git a/rqe-optimizer/results/case-studies/summary.md b/rqe-optimizer/results/case-studies/summary.md new file mode 100644 index 00000000..8772de0a --- /dev/null +++ b/rqe-optimizer/results/case-studies/summary.md @@ -0,0 +1,1425 @@ +## synthetic/case/anomaly/base=0/tp95 + +| SLA (ms) | vCPU | MVs | latency (ms) | +|---|---|---|---| +| none | 0.114 | 3 | 3.31 | +| 0.3 | 0.377 | 6 | 0.297 | +| 0.5 | 0.339 | 4 | 0.412 | +| 1.0 | 0.301 | 4 | 0.825 | +| 2.0 | 0.151 | 4 | 1.11 | +| 3.0 | 0.151 | 4 | 1.11 | + +Plan at SLA none: +- dd(alpha=0.1) by (region,service,status) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20), p99_by_service,region,status[5m] (merges 20) +- dd(alpha=0.1) by (service,endpoint) window 60s slide 60s: p99_by_service,endpoint[5m] (merges 5) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 0.3: +- dd(alpha=0.1) by (service) window 15s slide 15s: p99_by_service[5m] (merges 20) +- dd(alpha=0.1) by (region) window 15s slide 15s: p99_by_region[5m] (merges 20) +- dd(alpha=0.1) by (service,region) window 60s slide 60s: p99_by_service,region[5m] (merges 5) +- dd(alpha=0.1) by (service,endpoint) window 300s slide 60s: p99_by_service,endpoint[5m] (merges 1) +- dd(alpha=0.1) by (service,region,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 0.5: +- dd(alpha=0.1) by (region,service) window 30s slide 15s: p99_by_service[5m] (merges 10), p99_by_region[5m] (merges 10), p99_by_service,region[5m] (merges 10) +- dd(alpha=0.1) by (service,endpoint) window 300s slide 60s: p99_by_service,endpoint[5m] (merges 1) +- dd(alpha=0.1) by (service,region,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 1.0: +- dd(alpha=0.1) by (region,service) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20) +- dd(alpha=0.1) by (service,endpoint) window 300s slide 60s: p99_by_service,endpoint[5m] (merges 1) +- dd(alpha=0.1) by (service,region,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 2.0: +- dd(alpha=0.1) by (region,service) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20) +- dd(alpha=0.1) by (service,endpoint) window 60s slide 60s: p99_by_service,endpoint[5m] (merges 5) +- dd(alpha=0.1) by (service,region,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +## synthetic/case/anomaly/drilldown_endpoints=100/tp95 + +| SLA (ms) | vCPU | MVs | latency (ms) | +|---|---|---|---| +| none | 0.0776 | 2 | 82.5 | +| 3.0 | infeasible | | | +| 10.0 | 0.151 | 4 | 4.75 | +| 30.0 | 0.113 | 3 | 16.4 | +| 100.0 | 0.0776 | 2 | 82.5 | + +Plan at SLA none: +- dd(alpha=0.1) by (region,service) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20) +- dd(alpha=0.1) by (endpoint,region,service,status) window 60s slide 60s: p99_by_service,endpoint[5m] (merges 5), p99_by_service,region,status[5m] (merges 5), p99_by_region,endpoint[5m] (merges 5), p99_by_region,service,endpoint,status[5m] (merges 5) + +Plan at SLA 10.0: +- dd(alpha=0.1) by (region,service,status) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20), p99_by_service,region,status[5m] (merges 20) +- dd(alpha=0.1) by (service,endpoint) window 60s slide 60s: p99_by_service,endpoint[5m] (merges 5) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) +- dd(alpha=0.1) by (region,service,endpoint,status) window 300s slide 300s: p99_by_region,service,endpoint,status[5m] (merges 1) + +Plan at SLA 30.0: +- dd(alpha=0.1) by (region,service) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20) +- dd(alpha=0.1) by (service,endpoint) window 60s slide 60s: p99_by_service,endpoint[5m] (merges 5) +- dd(alpha=0.1) by (endpoint,region,service,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1), p99_by_region,endpoint[5m] (merges 1), p99_by_region,service,endpoint,status[5m] (merges 1) + +## synthetic/case/anomaly/drilldown_endpoints=10/tp95 + +| SLA (ms) | vCPU | MVs | latency (ms) | +|---|---|---|---| +| none | 0.0435 | 1 | 33.1 | +| 3.0 | 0.113 | 3 | 1.54 | +| 10.0 | 0.0757 | 2 | 8.19 | +| 30.0 | 0.0757 | 2 | 8.19 | +| 100.0 | 0.0435 | 1 | 33.1 | + +Plan at SLA none: +- dd(alpha=0.1) by (endpoint,region,service,status) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20), p99_by_service,endpoint[5m] (merges 20), p99_by_service,region,status[5m] (merges 20), p99_by_region,endpoint[5m] (merges 20), p99_by_region,service,endpoint,status[5m] (merges 20) + +Plan at SLA 3.0: +- dd(alpha=0.1) by (region,service) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20) +- dd(alpha=0.1) by (service,endpoint) window 60s slide 60s: p99_by_service,endpoint[5m] (merges 5) +- dd(alpha=0.1) by (endpoint,region,service,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1), p99_by_region,endpoint[5m] (merges 1), p99_by_region,service,endpoint,status[5m] (merges 1) + +Plan at SLA 10.0: +- dd(alpha=0.1) by (region,service) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20) +- dd(alpha=0.1) by (endpoint,region,service,status) window 60s slide 60s: p99_by_service,endpoint[5m] (merges 5), p99_by_service,region,status[5m] (merges 5), p99_by_region,endpoint[5m] (merges 5), p99_by_region,service,endpoint,status[5m] (merges 5) + +## synthetic/case/anomaly/drilldown_endpoints=25/tp95 + +| SLA (ms) | vCPU | MVs | latency (ms) | +|---|---|---|---| +| none | 0.0522 | 1 | 82.7 | +| 3.0 | 0.188 | 5 | 1.19 | +| 10.0 | 0.113 | 3 | 4.02 | +| 30.0 | 0.076 | 2 | 20.5 | +| 100.0 | 0.0522 | 1 | 82.7 | + +Plan at SLA none: +- dd(alpha=0.1) by (endpoint,region,service,status) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20), p99_by_service,endpoint[5m] (merges 20), p99_by_service,region,status[5m] (merges 20), p99_by_region,endpoint[5m] (merges 20), p99_by_region,service,endpoint,status[5m] (merges 20) + +Plan at SLA 3.0: +- dd(alpha=0.1) by (region,service) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20) +- dd(alpha=0.1) by (service,endpoint) window 60s slide 60s: p99_by_service,endpoint[5m] (merges 5) +- dd(alpha=0.1) by (service,region,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) +- dd(alpha=0.1) by (region,service,endpoint,status) window 300s slide 300s: p99_by_region,service,endpoint,status[5m] (merges 1) + +Plan at SLA 10.0: +- dd(alpha=0.1) by (region,service) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20) +- dd(alpha=0.1) by (service,endpoint) window 60s slide 60s: p99_by_service,endpoint[5m] (merges 5) +- dd(alpha=0.1) by (endpoint,region,service,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1), p99_by_region,endpoint[5m] (merges 1), p99_by_region,service,endpoint,status[5m] (merges 1) + +Plan at SLA 30.0: +- dd(alpha=0.1) by (region,service) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20) +- dd(alpha=0.1) by (endpoint,region,service,status) window 60s slide 60s: p99_by_service,endpoint[5m] (merges 5), p99_by_service,region,status[5m] (merges 5), p99_by_region,endpoint[5m] (merges 5), p99_by_region,service,endpoint,status[5m] (merges 5) + +## synthetic/case/anomaly/drilldown_endpoints=2/tp95 + +| SLA (ms) | vCPU | MVs | latency (ms) | +|---|---|---|---| +| none | 0.0388 | 1 | 6.61 | +| 3.0 | 0.0755 | 2 | 1.64 | +| 10.0 | 0.0388 | 1 | 6.61 | +| 30.0 | 0.0388 | 1 | 6.61 | +| 100.0 | 0.0388 | 1 | 6.61 | + +Plan at SLA none: +- dd(alpha=0.1) by (endpoint,region,service,status) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20), p99_by_service,endpoint[5m] (merges 20), p99_by_service,region,status[5m] (merges 20), p99_by_region,endpoint[5m] (merges 20), p99_by_region,service,endpoint,status[5m] (merges 20) + +Plan at SLA 3.0: +- dd(alpha=0.1) by (region,service) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20) +- dd(alpha=0.1) by (endpoint,region,service,status) window 60s slide 60s: p99_by_service,endpoint[5m] (merges 5), p99_by_service,region,status[5m] (merges 5), p99_by_region,endpoint[5m] (merges 5), p99_by_region,service,endpoint,status[5m] (merges 5) + +## synthetic/case/anomaly/drilldown_endpoints=50/tp95 + +| SLA (ms) | vCPU | MVs | latency (ms) | +|---|---|---|---| +| none | 0.0668 | 1 | 165 | +| 3.0 | 0.188 | 5 | 2.38 | +| 10.0 | 0.113 | 3 | 8.15 | +| 30.0 | 0.113 | 3 | 8.15 | +| 100.0 | 0.0765 | 2 | 41.2 | + +Plan at SLA none: +- dd(alpha=0.1) by (endpoint,region,service,status) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20), p99_by_service,endpoint[5m] (merges 20), p99_by_service,region,status[5m] (merges 20), p99_by_region,endpoint[5m] (merges 20), p99_by_region,service,endpoint,status[5m] (merges 20) + +Plan at SLA 3.0: +- dd(alpha=0.1) by (region,service) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20) +- dd(alpha=0.1) by (service,endpoint) window 60s slide 60s: p99_by_service,endpoint[5m] (merges 5) +- dd(alpha=0.1) by (service,region,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) +- dd(alpha=0.1) by (region,service,endpoint,status) window 300s slide 300s: p99_by_region,service,endpoint,status[5m] (merges 1) + +Plan at SLA 10.0: +- dd(alpha=0.1) by (region,service) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20) +- dd(alpha=0.1) by (service,endpoint) window 60s slide 60s: p99_by_service,endpoint[5m] (merges 5) +- dd(alpha=0.1) by (endpoint,region,service,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1), p99_by_region,endpoint[5m] (merges 1), p99_by_region,service,endpoint,status[5m] (merges 1) + +Plan at SLA 100.0: +- dd(alpha=0.1) by (region,service) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20) +- dd(alpha=0.1) by (endpoint,region,service,status) window 60s slide 60s: p99_by_service,endpoint[5m] (merges 5), p99_by_service,region,status[5m] (merges 5), p99_by_region,endpoint[5m] (merges 5), p99_by_region,service,endpoint,status[5m] (merges 5) + +## synthetic/case/anomaly/drilldown_endpoints=5/tp95 + +| SLA (ms) | vCPU | MVs | latency (ms) | +|---|---|---|---| +| none | 0.0406 | 1 | 16.5 | +| 3.0 | 0.113 | 3 | 0.825 | +| 10.0 | 0.0756 | 2 | 4.1 | +| 30.0 | 0.0406 | 1 | 16.5 | +| 100.0 | 0.0406 | 1 | 16.5 | + +Plan at SLA none: +- dd(alpha=0.1) by (endpoint,region,service,status) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20), p99_by_service,endpoint[5m] (merges 20), p99_by_service,region,status[5m] (merges 20), p99_by_region,endpoint[5m] (merges 20), p99_by_region,service,endpoint,status[5m] (merges 20) + +Plan at SLA 3.0: +- dd(alpha=0.1) by (region,service) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20) +- dd(alpha=0.1) by (service,endpoint) window 60s slide 60s: p99_by_service,endpoint[5m] (merges 5) +- dd(alpha=0.1) by (endpoint,region,service,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1), p99_by_region,endpoint[5m] (merges 1), p99_by_region,service,endpoint,status[5m] (merges 1) + +Plan at SLA 10.0: +- dd(alpha=0.1) by (region,service) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20) +- dd(alpha=0.1) by (endpoint,region,service,status) window 60s slide 60s: p99_by_service,endpoint[5m] (merges 5), p99_by_service,region,status[5m] (merges 5), p99_by_region,endpoint[5m] (merges 5), p99_by_region,service,endpoint,status[5m] (merges 5) + +## synthetic/case/anomaly/endpoints=100/tp95 + +| SLA (ms) | vCPU | MVs | latency (ms) | +|---|---|---|---| +| none | 0.114 | 3 | 4.43 | +| 0.3 | infeasible | | | +| 0.5 | infeasible | | | +| 1.0 | infeasible | | | +| 2.0 | 0.301 | 4 | 1.19 | +| 3.0 | 0.301 | 4 | 1.19 | + +Plan at SLA none: +- dd(alpha=0.1) by (region,service,status) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20), p99_by_service,region,status[5m] (merges 20) +- dd(alpha=0.1) by (service,endpoint) window 60s slide 60s: p99_by_service,endpoint[5m] (merges 5) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 2.0: +- dd(alpha=0.1) by (region,service) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20) +- dd(alpha=0.1) by (service,endpoint) window 300s slide 60s: p99_by_service,endpoint[5m] (merges 1) +- dd(alpha=0.1) by (service,region,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +## synthetic/case/anomaly/endpoints=10/tp95 + +| SLA (ms) | vCPU | MVs | latency (ms) | +|---|---|---|---| +| none | 0.113 | 3 | 3.31 | +| 0.3 | 0.377 | 6 | 0.199 | +| 0.5 | 0.188 | 4 | 0.443 | +| 1.0 | 0.151 | 4 | 0.825 | +| 2.0 | 0.151 | 4 | 0.825 | +| 3.0 | 0.151 | 4 | 0.825 | + +Plan at SLA none: +- dd(alpha=0.1) by (endpoint,service) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_service,endpoint[5m] (merges 20) +- dd(alpha=0.1) by (region,service,status) window 15s slide 15s: p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20), p99_by_service,region,status[5m] (merges 20) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 0.3: +- dd(alpha=0.1) by (service) window 15s slide 15s: p99_by_service[5m] (merges 20) +- dd(alpha=0.1) by (region) window 15s slide 15s: p99_by_region[5m] (merges 20) +- dd(alpha=0.1) by (service,region) window 60s slide 60s: p99_by_service,region[5m] (merges 5) +- dd(alpha=0.1) by (service,endpoint) window 300s slide 60s: p99_by_service,endpoint[5m] (merges 1) +- dd(alpha=0.1) by (service,region,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 0.5: +- dd(alpha=0.1) by (region,service) window 30s slide 15s: p99_by_service[5m] (merges 10), p99_by_region[5m] (merges 10), p99_by_service,region[5m] (merges 10) +- dd(alpha=0.1) by (service,endpoint) window 60s slide 60s: p99_by_service,endpoint[5m] (merges 5) +- dd(alpha=0.1) by (service,region,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 1.0: +- dd(alpha=0.1) by (region,service) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20) +- dd(alpha=0.1) by (service,endpoint) window 60s slide 60s: p99_by_service,endpoint[5m] (merges 5) +- dd(alpha=0.1) by (service,region,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +## synthetic/case/anomaly/endpoints=25/tp95 + +| SLA (ms) | vCPU | MVs | latency (ms) | +|---|---|---|---| +| none | 0.114 | 3 | 3.31 | +| 0.3 | 0.377 | 6 | 0.297 | +| 0.5 | 0.339 | 4 | 0.412 | +| 1.0 | 0.301 | 4 | 0.825 | +| 2.0 | 0.151 | 4 | 1.11 | +| 3.0 | 0.151 | 4 | 1.11 | + +Plan at SLA none: +- dd(alpha=0.1) by (region,service,status) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20), p99_by_service,region,status[5m] (merges 20) +- dd(alpha=0.1) by (service,endpoint) window 60s slide 60s: p99_by_service,endpoint[5m] (merges 5) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 0.3: +- dd(alpha=0.1) by (service) window 15s slide 15s: p99_by_service[5m] (merges 20) +- dd(alpha=0.1) by (region) window 15s slide 15s: p99_by_region[5m] (merges 20) +- dd(alpha=0.1) by (service,region) window 60s slide 60s: p99_by_service,region[5m] (merges 5) +- dd(alpha=0.1) by (service,endpoint) window 300s slide 60s: p99_by_service,endpoint[5m] (merges 1) +- dd(alpha=0.1) by (service,region,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 0.5: +- dd(alpha=0.1) by (region,service) window 30s slide 15s: p99_by_service[5m] (merges 10), p99_by_region[5m] (merges 10), p99_by_service,region[5m] (merges 10) +- dd(alpha=0.1) by (service,endpoint) window 300s slide 60s: p99_by_service,endpoint[5m] (merges 1) +- dd(alpha=0.1) by (service,region,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 1.0: +- dd(alpha=0.1) by (region,service) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20) +- dd(alpha=0.1) by (service,endpoint) window 300s slide 60s: p99_by_service,endpoint[5m] (merges 1) +- dd(alpha=0.1) by (service,region,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 2.0: +- dd(alpha=0.1) by (region,service) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20) +- dd(alpha=0.1) by (service,endpoint) window 60s slide 60s: p99_by_service,endpoint[5m] (merges 5) +- dd(alpha=0.1) by (service,region,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +## synthetic/case/anomaly/endpoints=2/tp95 + +| SLA (ms) | vCPU | MVs | latency (ms) | +|---|---|---|---| +| none | 0.113 | 3 | 1.65 | +| 0.3 | 0.226 | 6 | 0.199 | +| 0.5 | 0.188 | 5 | 0.406 | +| 1.0 | 0.151 | 4 | 0.797 | +| 2.0 | 0.113 | 3 | 1.65 | +| 3.0 | 0.113 | 3 | 1.65 | + +Plan at SLA none: +- dd(alpha=0.1) by (endpoint,service) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_service,endpoint[5m] (merges 20) +- dd(alpha=0.1) by (endpoint,region) window 15s slide 15s: p99_by_region[5m] (merges 20), p99_by_region,endpoint[5m] (merges 20) +- dd(alpha=0.1) by (region,service,status) window 60s slide 60s: p99_by_service,region[5m] (merges 5), p99_by_service,region,status[5m] (merges 5) + +Plan at SLA 0.3: +- dd(alpha=0.1) by (service) window 15s slide 15s: p99_by_service[5m] (merges 20) +- dd(alpha=0.1) by (region) window 15s slide 15s: p99_by_region[5m] (merges 20) +- dd(alpha=0.1) by (service,region) window 60s slide 60s: p99_by_service,region[5m] (merges 5) +- dd(alpha=0.1) by (service,endpoint) window 60s slide 60s: p99_by_service,endpoint[5m] (merges 5) +- dd(alpha=0.1) by (service,region,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 0.5: +- dd(alpha=0.1) by (endpoint,service) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_service,endpoint[5m] (merges 20) +- dd(alpha=0.1) by (region) window 15s slide 15s: p99_by_region[5m] (merges 20) +- dd(alpha=0.1) by (service,region) window 60s slide 60s: p99_by_service,region[5m] (merges 5) +- dd(alpha=0.1) by (service,region,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 1.0: +- dd(alpha=0.1) by (endpoint,service) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_service,endpoint[5m] (merges 20) +- dd(alpha=0.1) by (region) window 15s slide 15s: p99_by_region[5m] (merges 20) +- dd(alpha=0.1) by (region,service,status) window 60s slide 60s: p99_by_service,region[5m] (merges 5), p99_by_service,region,status[5m] (merges 5) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +## synthetic/case/anomaly/endpoints=50/tp95 + +| SLA (ms) | vCPU | MVs | latency (ms) | +|---|---|---|---| +| none | 0.114 | 3 | 3.31 | +| 0.3 | infeasible | | | +| 0.5 | infeasible | | | +| 1.0 | 0.301 | 4 | 0.825 | +| 2.0 | 0.301 | 4 | 0.825 | +| 3.0 | 0.151 | 4 | 2.22 | + +Plan at SLA none: +- dd(alpha=0.1) by (region,service,status) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20), p99_by_service,region,status[5m] (merges 20) +- dd(alpha=0.1) by (service,endpoint) window 60s slide 60s: p99_by_service,endpoint[5m] (merges 5) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 1.0: +- dd(alpha=0.1) by (region,service) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20) +- dd(alpha=0.1) by (service,endpoint) window 300s slide 60s: p99_by_service,endpoint[5m] (merges 1) +- dd(alpha=0.1) by (service,region,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 3.0: +- dd(alpha=0.1) by (region,service) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20) +- dd(alpha=0.1) by (service,endpoint) window 60s slide 60s: p99_by_service,endpoint[5m] (merges 5) +- dd(alpha=0.1) by (service,region,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +## synthetic/case/anomaly/endpoints=5/tp95 + +| SLA (ms) | vCPU | MVs | latency (ms) | +|---|---|---|---| +| none | 0.113 | 3 | 3.31 | +| 0.3 | 0.226 | 6 | 0.222 | +| 0.5 | 0.188 | 4 | 0.412 | +| 1.0 | 0.151 | 4 | 0.825 | +| 2.0 | 0.151 | 4 | 1.03 | +| 3.0 | 0.151 | 4 | 1.03 | + +Plan at SLA none: +- dd(alpha=0.1) by (endpoint,service) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_service,endpoint[5m] (merges 20) +- dd(alpha=0.1) by (region,service,status) window 15s slide 15s: p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20), p99_by_service,region,status[5m] (merges 20) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 0.3: +- dd(alpha=0.1) by (service) window 15s slide 15s: p99_by_service[5m] (merges 20) +- dd(alpha=0.1) by (region) window 15s slide 15s: p99_by_region[5m] (merges 20) +- dd(alpha=0.1) by (service,region) window 60s slide 60s: p99_by_service,region[5m] (merges 5) +- dd(alpha=0.1) by (service,endpoint) window 60s slide 60s: p99_by_service,endpoint[5m] (merges 5) +- dd(alpha=0.1) by (service,region,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 0.5: +- dd(alpha=0.1) by (region,service) window 30s slide 15s: p99_by_service[5m] (merges 10), p99_by_region[5m] (merges 10), p99_by_service,region[5m] (merges 10) +- dd(alpha=0.1) by (service,endpoint) window 60s slide 60s: p99_by_service,endpoint[5m] (merges 5) +- dd(alpha=0.1) by (service,region,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 1.0: +- dd(alpha=0.1) by (region,service) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20) +- dd(alpha=0.1) by (service,endpoint) window 60s slide 60s: p99_by_service,endpoint[5m] (merges 5) +- dd(alpha=0.1) by (service,region,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 2.0: +- dd(alpha=0.1) by (endpoint,service) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_service,endpoint[5m] (merges 20) +- dd(alpha=0.1) by (region) window 15s slide 15s: p99_by_region[5m] (merges 20) +- dd(alpha=0.1) by (region,service,status) window 60s slide 60s: p99_by_service,region[5m] (merges 5), p99_by_service,region,status[5m] (merges 5) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +## synthetic/case/anomaly/interval=15/tp95 + +| SLA (ms) | vCPU | MVs | latency (ms) | +|---|---|---|---| +| none | 0.116 | 3 | 19.9 | +| 0.3 | 2.03 | 4 | 0.297 | +| 0.5 | 1.51 | 3 | 0.333 | +| 1.0 | 1.09 | 3 | 0.849 | +| 2.0 | 0.603 | 3 | 1.65 | +| 3.0 | 0.528 | 3 | 2.4 | + +Plan at SLA none: +- dd(alpha=0.1) by (region,service,status) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20), p99_by_service,region,status[5m] (merges 20) +- dd(alpha=0.1) by (service,endpoint) window 15s slide 15s: p99_by_service,endpoint[5m] (merges 20) +- dd(alpha=0.1) by (region,endpoint) window 15s slide 15s: p99_by_region,endpoint[5m] (merges 20) + +Plan at SLA 0.3: +- dd(alpha=0.1) by (region,service) window 60s slide 15s: p99_by_service[5m] (merges 5), p99_by_region[5m] (merges 5), p99_by_service,region[5m] (merges 5) +- dd(alpha=0.1) by (service,endpoint) window 300s slide 15s: p99_by_service,endpoint[5m] (merges 1) +- dd(alpha=0.1) by (service,region,status) window 150s slide 15s: p99_by_service,region,status[5m] (merges 2) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 15s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 0.5: +- dd(alpha=0.1) by (region,service,status) window 150s slide 15s: p99_by_service[5m] (merges 2), p99_by_region[5m] (merges 2), p99_by_service,region[5m] (merges 2), p99_by_service,region,status[5m] (merges 2) +- dd(alpha=0.1) by (service,endpoint) window 150s slide 15s: p99_by_service,endpoint[5m] (merges 2) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 15s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 1.0: +- dd(alpha=0.1) by (region,service,status) window 60s slide 15s: p99_by_service[5m] (merges 5), p99_by_region[5m] (merges 5), p99_by_service,region[5m] (merges 5), p99_by_service,region,status[5m] (merges 5) +- dd(alpha=0.1) by (service,endpoint) window 75s slide 15s: p99_by_service,endpoint[5m] (merges 4) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 15s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 2.0: +- dd(alpha=0.1) by (endpoint,service) window 60s slide 15s: p99_by_service[5m] (merges 5), p99_by_service,endpoint[5m] (merges 5) +- dd(alpha=0.1) by (region,service,status) window 30s slide 15s: p99_by_region[5m] (merges 10), p99_by_service,region[5m] (merges 10), p99_by_service,region,status[5m] (merges 10) +- dd(alpha=0.1) by (region,endpoint) window 150s slide 15s: p99_by_region,endpoint[5m] (merges 2) + +Plan at SLA 3.0: +- dd(alpha=0.1) by (region,service,status) window 30s slide 15s: p99_by_service[5m] (merges 10), p99_by_region[5m] (merges 10), p99_by_service,region[5m] (merges 10), p99_by_service,region,status[5m] (merges 10) +- dd(alpha=0.1) by (service,endpoint) window 30s slide 15s: p99_by_service,endpoint[5m] (merges 10) +- dd(alpha=0.1) by (region,endpoint) window 150s slide 15s: p99_by_region,endpoint[5m] (merges 2) + +## synthetic/case/anomaly/interval=300/tp95 + +| SLA (ms) | vCPU | MVs | latency (ms) | +|---|---|---|---| +| none | 0.113 | 3 | 0.297 | +| 0.3 | 0.113 | 3 | 0.297 | +| 0.5 | 0.113 | 3 | 0.297 | +| 1.0 | 0.113 | 3 | 0.297 | +| 2.0 | 0.113 | 3 | 0.297 | +| 3.0 | 0.113 | 3 | 0.297 | + +Plan at SLA none: +- dd(alpha=0.1) by (region,service,status) window 300s slide 300s: p99_by_service[5m] (merges 1), p99_by_region[5m] (merges 1), p99_by_service,region[5m] (merges 1), p99_by_service,region,status[5m] (merges 1) +- dd(alpha=0.1) by (service,endpoint) window 300s slide 300s: p99_by_service,endpoint[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +## synthetic/case/anomaly/interval=60/tp95 + +| SLA (ms) | vCPU | MVs | latency (ms) | +|---|---|---|---| +| none | 0.113 | 3 | 4.43 | +| 0.3 | 0.565 | 3 | 0.297 | +| 0.5 | 0.565 | 3 | 0.297 | +| 1.0 | 0.414 | 3 | 0.825 | +| 2.0 | 0.264 | 3 | 1.11 | +| 3.0 | 0.264 | 3 | 1.11 | + +Plan at SLA none: +- dd(alpha=0.1) by (region,service,status) window 60s slide 60s: p99_by_service[5m] (merges 5), p99_by_region[5m] (merges 5), p99_by_service,region[5m] (merges 5), p99_by_service,region,status[5m] (merges 5) +- dd(alpha=0.1) by (service,endpoint) window 60s slide 60s: p99_by_service,endpoint[5m] (merges 5) +- dd(alpha=0.1) by (region,endpoint) window 60s slide 60s: p99_by_region,endpoint[5m] (merges 5) + +Plan at SLA 0.3: +- dd(alpha=0.1) by (region,service,status) window 300s slide 60s: p99_by_service[5m] (merges 1), p99_by_region[5m] (merges 1), p99_by_service,region[5m] (merges 1), p99_by_service,region,status[5m] (merges 1) +- dd(alpha=0.1) by (service,endpoint) window 300s slide 60s: p99_by_service,endpoint[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 60s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 1.0: +- dd(alpha=0.1) by (endpoint,service) window 300s slide 60s: p99_by_service[5m] (merges 1), p99_by_service,endpoint[5m] (merges 1) +- dd(alpha=0.1) by (region,service,status) window 60s slide 60s: p99_by_region[5m] (merges 5), p99_by_service,region[5m] (merges 5), p99_by_service,region,status[5m] (merges 5) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 60s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 2.0: +- dd(alpha=0.1) by (region,service,status) window 60s slide 60s: p99_by_service[5m] (merges 5), p99_by_region[5m] (merges 5), p99_by_service,region[5m] (merges 5), p99_by_service,region,status[5m] (merges 5) +- dd(alpha=0.1) by (service,endpoint) window 60s slide 60s: p99_by_service,endpoint[5m] (merges 5) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 60s: p99_by_region,endpoint[5m] (merges 1) + +## synthetic/case/anomaly/rate=20000000/tp95 + +| SLA (ms) | vCPU | MVs | latency (ms) | +|---|---|---|---| +| none | 1.13 | 3 | 3.31 | +| 0.3 | infeasible | | | +| 0.5 | 3.39 | 4 | 0.412 | +| 1.0 | 3.01 | 4 | 0.825 | +| 2.0 | 1.51 | 4 | 1.11 | +| 3.0 | 1.51 | 4 | 1.11 | + +Plan at SLA none: +- dd(alpha=0.1) by (region,service,status) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20), p99_by_service,region,status[5m] (merges 20) +- dd(alpha=0.1) by (service,endpoint) window 60s slide 60s: p99_by_service,endpoint[5m] (merges 5) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 0.5: +- dd(alpha=0.1) by (region,service) window 30s slide 15s: p99_by_service[5m] (merges 10), p99_by_region[5m] (merges 10), p99_by_service,region[5m] (merges 10) +- dd(alpha=0.1) by (service,endpoint) window 300s slide 60s: p99_by_service,endpoint[5m] (merges 1) +- dd(alpha=0.1) by (service,region,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 1.0: +- dd(alpha=0.1) by (region,service) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20) +- dd(alpha=0.1) by (service,endpoint) window 300s slide 60s: p99_by_service,endpoint[5m] (merges 1) +- dd(alpha=0.1) by (service,region,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 2.0: +- dd(alpha=0.1) by (region,service) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20) +- dd(alpha=0.1) by (service,endpoint) window 60s slide 60s: p99_by_service,endpoint[5m] (merges 5) +- dd(alpha=0.1) by (service,region,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +## synthetic/case/anomaly/rate=2000000/tp95 + +| SLA (ms) | vCPU | MVs | latency (ms) | +|---|---|---|---| +| none | 0.114 | 3 | 3.31 | +| 0.3 | 0.377 | 6 | 0.297 | +| 0.5 | 0.339 | 4 | 0.412 | +| 1.0 | 0.301 | 4 | 0.825 | +| 2.0 | 0.151 | 4 | 1.11 | +| 3.0 | 0.151 | 4 | 1.11 | + +Plan at SLA none: +- dd(alpha=0.1) by (region,service,status) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20), p99_by_service,region,status[5m] (merges 20) +- dd(alpha=0.1) by (service,endpoint) window 60s slide 60s: p99_by_service,endpoint[5m] (merges 5) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 0.3: +- dd(alpha=0.1) by (service) window 15s slide 15s: p99_by_service[5m] (merges 20) +- dd(alpha=0.1) by (region) window 15s slide 15s: p99_by_region[5m] (merges 20) +- dd(alpha=0.1) by (service,region) window 60s slide 60s: p99_by_service,region[5m] (merges 5) +- dd(alpha=0.1) by (service,endpoint) window 300s slide 60s: p99_by_service,endpoint[5m] (merges 1) +- dd(alpha=0.1) by (service,region,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 0.5: +- dd(alpha=0.1) by (region,service) window 30s slide 15s: p99_by_service[5m] (merges 10), p99_by_region[5m] (merges 10), p99_by_service,region[5m] (merges 10) +- dd(alpha=0.1) by (service,endpoint) window 300s slide 60s: p99_by_service,endpoint[5m] (merges 1) +- dd(alpha=0.1) by (service,region,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 1.0: +- dd(alpha=0.1) by (region,service) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20) +- dd(alpha=0.1) by (service,endpoint) window 300s slide 60s: p99_by_service,endpoint[5m] (merges 1) +- dd(alpha=0.1) by (service,region,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 2.0: +- dd(alpha=0.1) by (region,service) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20) +- dd(alpha=0.1) by (service,endpoint) window 60s slide 60s: p99_by_service,endpoint[5m] (merges 5) +- dd(alpha=0.1) by (service,region,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +## synthetic/case/anomaly/rate=250000/tp95 + +| SLA (ms) | vCPU | MVs | latency (ms) | +|---|---|---|---| +| none | 0.0146 | 3 | 3.31 | +| 0.3 | 0.0471 | 6 | 0.297 | +| 0.5 | 0.0424 | 4 | 0.412 | +| 1.0 | 0.0378 | 4 | 0.825 | +| 2.0 | 0.019 | 4 | 1.11 | +| 3.0 | 0.019 | 4 | 1.11 | + +Plan at SLA none: +- dd(alpha=0.1) by (region,service,status) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20), p99_by_service,region,status[5m] (merges 20) +- dd(alpha=0.1) by (service,endpoint) window 60s slide 60s: p99_by_service,endpoint[5m] (merges 5) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 0.3: +- dd(alpha=0.1) by (service) window 15s slide 15s: p99_by_service[5m] (merges 20) +- dd(alpha=0.1) by (region) window 15s slide 15s: p99_by_region[5m] (merges 20) +- dd(alpha=0.1) by (service,region) window 60s slide 60s: p99_by_service,region[5m] (merges 5) +- dd(alpha=0.1) by (service,endpoint) window 300s slide 60s: p99_by_service,endpoint[5m] (merges 1) +- dd(alpha=0.1) by (service,region,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 0.5: +- dd(alpha=0.1) by (region,service) window 30s slide 15s: p99_by_service[5m] (merges 10), p99_by_region[5m] (merges 10), p99_by_service,region[5m] (merges 10) +- dd(alpha=0.1) by (service,endpoint) window 300s slide 60s: p99_by_service,endpoint[5m] (merges 1) +- dd(alpha=0.1) by (service,region,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 1.0: +- dd(alpha=0.1) by (region,service) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20) +- dd(alpha=0.1) by (service,endpoint) window 300s slide 60s: p99_by_service,endpoint[5m] (merges 1) +- dd(alpha=0.1) by (service,region,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 2.0: +- dd(alpha=0.1) by (region,service) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20) +- dd(alpha=0.1) by (service,endpoint) window 60s slide 60s: p99_by_service,endpoint[5m] (merges 5) +- dd(alpha=0.1) by (service,region,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +## synthetic/case/anomaly/rate=500000/tp95 + +| SLA (ms) | vCPU | MVs | latency (ms) | +|---|---|---|---| +| none | 0.0288 | 3 | 3.31 | +| 0.3 | 0.0942 | 6 | 0.297 | +| 0.5 | 0.0848 | 4 | 0.412 | +| 1.0 | 0.0754 | 4 | 0.825 | +| 2.0 | 0.0378 | 4 | 1.11 | +| 3.0 | 0.0378 | 4 | 1.11 | + +Plan at SLA none: +- dd(alpha=0.1) by (region,service,status) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20), p99_by_service,region,status[5m] (merges 20) +- dd(alpha=0.1) by (service,endpoint) window 60s slide 60s: p99_by_service,endpoint[5m] (merges 5) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 0.3: +- dd(alpha=0.1) by (service) window 15s slide 15s: p99_by_service[5m] (merges 20) +- dd(alpha=0.1) by (region) window 15s slide 15s: p99_by_region[5m] (merges 20) +- dd(alpha=0.1) by (service,region) window 60s slide 60s: p99_by_service,region[5m] (merges 5) +- dd(alpha=0.1) by (service,endpoint) window 300s slide 60s: p99_by_service,endpoint[5m] (merges 1) +- dd(alpha=0.1) by (service,region,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 0.5: +- dd(alpha=0.1) by (region,service) window 30s slide 15s: p99_by_service[5m] (merges 10), p99_by_region[5m] (merges 10), p99_by_service,region[5m] (merges 10) +- dd(alpha=0.1) by (service,endpoint) window 300s slide 60s: p99_by_service,endpoint[5m] (merges 1) +- dd(alpha=0.1) by (service,region,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 1.0: +- dd(alpha=0.1) by (region,service) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20) +- dd(alpha=0.1) by (service,endpoint) window 300s slide 60s: p99_by_service,endpoint[5m] (merges 1) +- dd(alpha=0.1) by (service,region,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 2.0: +- dd(alpha=0.1) by (region,service) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20) +- dd(alpha=0.1) by (service,endpoint) window 60s slide 60s: p99_by_service,endpoint[5m] (merges 5) +- dd(alpha=0.1) by (service,region,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +## synthetic/case/anomaly/statuses=16/tp95 + +| SLA (ms) | vCPU | MVs | latency (ms) | +|---|---|---|---| +| none | 0.115 | 3 | 13.2 | +| 0.3 | 0.377 | 6 | 0.297 | +| 0.5 | 0.339 | 4 | 0.412 | +| 1.0 | 0.301 | 4 | 0.825 | +| 2.0 | 0.151 | 4 | 1.11 | +| 3.0 | 0.151 | 4 | 1.11 | + +Plan at SLA none: +- dd(alpha=0.1) by (endpoint,service) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_service,endpoint[5m] (merges 20) +- dd(alpha=0.1) by (region,service,status) window 15s slide 15s: p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20), p99_by_service,region,status[5m] (merges 20) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 0.3: +- dd(alpha=0.1) by (service) window 15s slide 15s: p99_by_service[5m] (merges 20) +- dd(alpha=0.1) by (region) window 15s slide 15s: p99_by_region[5m] (merges 20) +- dd(alpha=0.1) by (service,region) window 60s slide 60s: p99_by_service,region[5m] (merges 5) +- dd(alpha=0.1) by (service,endpoint) window 300s slide 60s: p99_by_service,endpoint[5m] (merges 1) +- dd(alpha=0.1) by (service,region,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 0.5: +- dd(alpha=0.1) by (region,service) window 30s slide 15s: p99_by_service[5m] (merges 10), p99_by_region[5m] (merges 10), p99_by_service,region[5m] (merges 10) +- dd(alpha=0.1) by (service,endpoint) window 300s slide 60s: p99_by_service,endpoint[5m] (merges 1) +- dd(alpha=0.1) by (service,region,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 1.0: +- dd(alpha=0.1) by (region,service) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20) +- dd(alpha=0.1) by (service,endpoint) window 300s slide 60s: p99_by_service,endpoint[5m] (merges 1) +- dd(alpha=0.1) by (service,region,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 2.0: +- dd(alpha=0.1) by (region,service) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20) +- dd(alpha=0.1) by (service,endpoint) window 60s slide 60s: p99_by_service,endpoint[5m] (merges 5) +- dd(alpha=0.1) by (service,region,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +## synthetic/case/anomaly/statuses=2/tp95 + +| SLA (ms) | vCPU | MVs | latency (ms) | +|---|---|---|---| +| none | 0.113 | 3 | 1.65 | +| 0.3 | 0.377 | 6 | 0.297 | +| 0.5 | 0.339 | 5 | 0.384 | +| 1.0 | 0.301 | 4 | 0.825 | +| 2.0 | 0.113 | 3 | 1.65 | +| 3.0 | 0.113 | 3 | 1.65 | + +Plan at SLA none: +- dd(alpha=0.1) by (region,service,status) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20), p99_by_service,region,status[5m] (merges 20) +- dd(alpha=0.1) by (service,endpoint) window 60s slide 60s: p99_by_service,endpoint[5m] (merges 5) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 0.3: +- dd(alpha=0.1) by (service) window 15s slide 15s: p99_by_service[5m] (merges 20) +- dd(alpha=0.1) by (region) window 15s slide 15s: p99_by_region[5m] (merges 20) +- dd(alpha=0.1) by (service,region) window 60s slide 60s: p99_by_service,region[5m] (merges 5) +- dd(alpha=0.1) by (service,endpoint) window 300s slide 60s: p99_by_service,endpoint[5m] (merges 1) +- dd(alpha=0.1) by (service,region,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 0.5: +- dd(alpha=0.1) by (service) window 15s slide 15s: p99_by_service[5m] (merges 20) +- dd(alpha=0.1) by (region) window 15s slide 15s: p99_by_region[5m] (merges 20) +- dd(alpha=0.1) by (region,service,status) window 60s slide 60s: p99_by_service,region[5m] (merges 5), p99_by_service,region,status[5m] (merges 5) +- dd(alpha=0.1) by (service,endpoint) window 300s slide 60s: p99_by_service,endpoint[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 1.0: +- dd(alpha=0.1) by (region,service) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20) +- dd(alpha=0.1) by (region,service,status) window 60s slide 60s: p99_by_service,region[5m] (merges 5), p99_by_service,region,status[5m] (merges 5) +- dd(alpha=0.1) by (service,endpoint) window 300s slide 60s: p99_by_service,endpoint[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +## synthetic/case/anomaly/statuses=4/tp95 + +| SLA (ms) | vCPU | MVs | latency (ms) | +|---|---|---|---| +| none | 0.114 | 3 | 3.31 | +| 0.3 | 0.377 | 6 | 0.297 | +| 0.5 | 0.339 | 4 | 0.412 | +| 1.0 | 0.301 | 4 | 0.825 | +| 2.0 | 0.151 | 4 | 1.11 | +| 3.0 | 0.151 | 4 | 1.11 | + +Plan at SLA none: +- dd(alpha=0.1) by (region,service,status) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20), p99_by_service,region,status[5m] (merges 20) +- dd(alpha=0.1) by (service,endpoint) window 60s slide 60s: p99_by_service,endpoint[5m] (merges 5) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 0.3: +- dd(alpha=0.1) by (service) window 15s slide 15s: p99_by_service[5m] (merges 20) +- dd(alpha=0.1) by (region) window 15s slide 15s: p99_by_region[5m] (merges 20) +- dd(alpha=0.1) by (service,region) window 60s slide 60s: p99_by_service,region[5m] (merges 5) +- dd(alpha=0.1) by (service,endpoint) window 300s slide 60s: p99_by_service,endpoint[5m] (merges 1) +- dd(alpha=0.1) by (service,region,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 0.5: +- dd(alpha=0.1) by (region,service) window 30s slide 15s: p99_by_service[5m] (merges 10), p99_by_region[5m] (merges 10), p99_by_service,region[5m] (merges 10) +- dd(alpha=0.1) by (service,endpoint) window 300s slide 60s: p99_by_service,endpoint[5m] (merges 1) +- dd(alpha=0.1) by (service,region,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 1.0: +- dd(alpha=0.1) by (region,service) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20) +- dd(alpha=0.1) by (service,endpoint) window 300s slide 60s: p99_by_service,endpoint[5m] (merges 1) +- dd(alpha=0.1) by (service,region,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 2.0: +- dd(alpha=0.1) by (region,service) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20) +- dd(alpha=0.1) by (service,endpoint) window 60s slide 60s: p99_by_service,endpoint[5m] (merges 5) +- dd(alpha=0.1) by (service,region,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +## synthetic/case/anomaly/statuses=8/tp95 + +| SLA (ms) | vCPU | MVs | latency (ms) | +|---|---|---|---| +| none | 0.114 | 3 | 6.61 | +| 0.3 | 0.377 | 6 | 0.297 | +| 0.5 | 0.339 | 4 | 0.412 | +| 1.0 | 0.301 | 4 | 0.825 | +| 2.0 | 0.151 | 4 | 1.11 | +| 3.0 | 0.151 | 4 | 1.11 | + +Plan at SLA none: +- dd(alpha=0.1) by (endpoint,service) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_service,endpoint[5m] (merges 20) +- dd(alpha=0.1) by (region,service,status) window 15s slide 15s: p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20), p99_by_service,region,status[5m] (merges 20) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 0.3: +- dd(alpha=0.1) by (service) window 15s slide 15s: p99_by_service[5m] (merges 20) +- dd(alpha=0.1) by (region) window 15s slide 15s: p99_by_region[5m] (merges 20) +- dd(alpha=0.1) by (service,region) window 60s slide 60s: p99_by_service,region[5m] (merges 5) +- dd(alpha=0.1) by (service,endpoint) window 300s slide 60s: p99_by_service,endpoint[5m] (merges 1) +- dd(alpha=0.1) by (service,region,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 0.5: +- dd(alpha=0.1) by (region,service) window 30s slide 15s: p99_by_service[5m] (merges 10), p99_by_region[5m] (merges 10), p99_by_service,region[5m] (merges 10) +- dd(alpha=0.1) by (service,endpoint) window 300s slide 60s: p99_by_service,endpoint[5m] (merges 1) +- dd(alpha=0.1) by (service,region,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 1.0: +- dd(alpha=0.1) by (region,service) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20) +- dd(alpha=0.1) by (service,endpoint) window 300s slide 60s: p99_by_service,endpoint[5m] (merges 1) +- dd(alpha=0.1) by (service,region,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +Plan at SLA 2.0: +- dd(alpha=0.1) by (region,service) window 15s slide 15s: p99_by_service[5m] (merges 20), p99_by_region[5m] (merges 20), p99_by_service,region[5m] (merges 20) +- dd(alpha=0.1) by (service,endpoint) window 60s slide 60s: p99_by_service,endpoint[5m] (merges 5) +- dd(alpha=0.1) by (service,region,status) window 300s slide 300s: p99_by_service,region,status[5m] (merges 1) +- dd(alpha=0.1) by (region,endpoint) window 300s slide 300s: p99_by_region,endpoint[5m] (merges 1) + +## synthetic/case/perf/base=0/tp95 + +| SLA (ms) | vCPU | MVs | latency (ms) | +|---|---|---|---| +| none | 0.105 | 2 | 2.38e+04 | +| 10.0 | 1.24 | 5 | 9.45 | +| 30.0 | 0.643 | 5 | 21.9 | +| 100.0 | 0.229 | 4 | 96.3 | +| 300.0 | 0.155 | 4 | 195 | +| 1000.0 | 0.126 | 3 | 493 | +| 3000.0 | 0.126 | 3 | 493 | +| 10000.0 | 0.122 | 3 | 5.95e+03 | + +Plan at SLA none: +- dd(alpha=0.1) by (job) window 0.005s slide 0.005s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4), quantile_over_time_p0.9[10m] (merges 40), quantile_over_time_p0.9[30m] (merges 120), quantile_over_time_p0.9[6h] (merges 1440), quantile_over_time_p0.9[1d] (merges 5760) + +Plan at SLA 10.0: +- dd(alpha=0.1) by (job) window 0.005s slide 0.005s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 30s slide 15s: quantile_over_time_p0.5[1m] (merges 2), quantile_over_time_p0.9[1m] (merges 2) +- dd(alpha=0.1) by (series) window 600s slide 60s: quantile_over_time_p0.9[10m] (merges 1), quantile_over_time_p0.9[30m] (merges 3) +- dd(alpha=0.1) by (series) window 7200s slide 1800s: quantile_over_time_p0.9[6h] (merges 3) +- dd(alpha=0.1) by (series) window 28800s slide 1800s: quantile_over_time_p0.9[1d] (merges 3) + +Plan at SLA 30.0: +- dd(alpha=0.1) by (job) window 0.005s slide 0.005s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4) +- dd(alpha=0.1) by (series) window 300s slide 60s: quantile_over_time_p0.9[10m] (merges 2), quantile_over_time_p0.9[30m] (merges 6) +- dd(alpha=0.1) by (series) window 3600s slide 1800s: quantile_over_time_p0.9[6h] (merges 6) +- dd(alpha=0.1) by (series) window 14400s slide 1800s: quantile_over_time_p0.9[1d] (merges 6) + +Plan at SLA 100.0: +- dd(alpha=0.1) by (job) window 0.005s slide 0.005s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4) +- dd(alpha=0.1) by (series) window 120s slide 60s: quantile_over_time_p0.9[10m] (merges 5), quantile_over_time_p0.9[30m] (merges 15) +- dd(alpha=0.1) by (series) window 3600s slide 1800s: quantile_over_time_p0.9[6h] (merges 6), quantile_over_time_p0.9[1d] (merges 24) + +Plan at SLA 300.0: +- dd(alpha=0.1) by (job) window 0.005s slide 0.005s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4) +- dd(alpha=0.1) by (series) window 60s slide 60s: quantile_over_time_p0.9[10m] (merges 10), quantile_over_time_p0.9[30m] (merges 30) +- dd(alpha=0.1) by (series) window 1800s slide 1800s: quantile_over_time_p0.9[6h] (merges 12), quantile_over_time_p0.9[1d] (merges 48) + +Plan at SLA 1000.0: +- dd(alpha=0.1) by (job) window 0.005s slide 0.005s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4), quantile_over_time_p0.9[10m] (merges 40), quantile_over_time_p0.9[30m] (merges 120) +- dd(alpha=0.1) by (series) window 1800s slide 1800s: quantile_over_time_p0.9[6h] (merges 12), quantile_over_time_p0.9[1d] (merges 48) + +Plan at SLA 10000.0: +- dd(alpha=0.1) by (job) window 0.005s slide 0.005s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4) +- dd(alpha=0.1) by (series) window 60s slide 60s: quantile_over_time_p0.9[10m] (merges 10), quantile_over_time_p0.9[30m] (merges 30), quantile_over_time_p0.9[6h] (merges 360), quantile_over_time_p0.9[1d] (merges 1440) + +## synthetic/case/perf/long_interval=15/tp95 + +| SLA (ms) | vCPU | MVs | latency (ms) | +|---|---|---|---| +| none | 0.627 | 3 | 2.97e+03 | +| 10.0 | infeasible | | | +| 30.0 | infeasible | | | +| 100.0 | infeasible | | | +| 300.0 | 3.53 | 4 | 274 | +| 1000.0 | 1.07 | 3 | 989 | +| 3000.0 | 0.627 | 3 | 2.97e+03 | +| 10000.0 | 0.627 | 3 | 2.97e+03 | + +Plan at SLA none: +- dd(alpha=0.1) by (job) window 0.005s slide 0.005s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4) +- dd(alpha=0.1) by (series) window 120s slide 15s: quantile_over_time_p0.9[10m] (merges 5), quantile_over_time_p0.9[30m] (merges 15), quantile_over_time_p0.9[6h] (merges 180), quantile_over_time_p0.9[1d] (merges 720) + +Plan at SLA 300.0: +- dd(alpha=0.1) by (job) window 0.005s slide 0.005s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4) +- dd(alpha=0.1) by (series) window 60s slide 60s: quantile_over_time_p0.9[10m] (merges 10), quantile_over_time_p0.9[30m] (merges 30) +- dd(alpha=0.1) by (series) window 1350s slide 15s: quantile_over_time_p0.9[6h] (merges 16), quantile_over_time_p0.9[1d] (merges 64) + +Plan at SLA 1000.0: +- dd(alpha=0.1) by (job) window 0.005s slide 0.005s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4), quantile_over_time_p0.9[10m] (merges 40) +- dd(alpha=0.1) by (series) window 360s slide 15s: quantile_over_time_p0.9[30m] (merges 5), quantile_over_time_p0.9[6h] (merges 60), quantile_over_time_p0.9[1d] (merges 240) + +## synthetic/case/perf/long_interval=1800/tp95 + +| SLA (ms) | vCPU | MVs | latency (ms) | +|---|---|---|---| +| none | 0.105 | 2 | 2.38e+04 | +| 10.0 | 1.24 | 5 | 9.45 | +| 30.0 | 0.643 | 5 | 21.9 | +| 100.0 | 0.229 | 4 | 96.3 | +| 300.0 | 0.155 | 4 | 195 | +| 1000.0 | 0.126 | 3 | 493 | +| 3000.0 | 0.126 | 3 | 493 | +| 10000.0 | 0.122 | 3 | 5.95e+03 | + +Plan at SLA none: +- dd(alpha=0.1) by (job) window 0.005s slide 0.005s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4), quantile_over_time_p0.9[10m] (merges 40), quantile_over_time_p0.9[30m] (merges 120), quantile_over_time_p0.9[6h] (merges 1440), quantile_over_time_p0.9[1d] (merges 5760) + +Plan at SLA 10.0: +- dd(alpha=0.1) by (job) window 0.005s slide 0.005s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 30s slide 15s: quantile_over_time_p0.5[1m] (merges 2), quantile_over_time_p0.9[1m] (merges 2) +- dd(alpha=0.1) by (series) window 600s slide 60s: quantile_over_time_p0.9[10m] (merges 1), quantile_over_time_p0.9[30m] (merges 3) +- dd(alpha=0.1) by (series) window 7200s slide 1800s: quantile_over_time_p0.9[6h] (merges 3) +- dd(alpha=0.1) by (series) window 28800s slide 1800s: quantile_over_time_p0.9[1d] (merges 3) + +Plan at SLA 30.0: +- dd(alpha=0.1) by (job) window 0.005s slide 0.005s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4) +- dd(alpha=0.1) by (series) window 300s slide 60s: quantile_over_time_p0.9[10m] (merges 2), quantile_over_time_p0.9[30m] (merges 6) +- dd(alpha=0.1) by (series) window 3600s slide 1800s: quantile_over_time_p0.9[6h] (merges 6) +- dd(alpha=0.1) by (series) window 14400s slide 1800s: quantile_over_time_p0.9[1d] (merges 6) + +Plan at SLA 100.0: +- dd(alpha=0.1) by (job) window 0.005s slide 0.005s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4) +- dd(alpha=0.1) by (series) window 120s slide 60s: quantile_over_time_p0.9[10m] (merges 5), quantile_over_time_p0.9[30m] (merges 15) +- dd(alpha=0.1) by (series) window 3600s slide 1800s: quantile_over_time_p0.9[6h] (merges 6), quantile_over_time_p0.9[1d] (merges 24) + +Plan at SLA 300.0: +- dd(alpha=0.1) by (job) window 0.005s slide 0.005s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4) +- dd(alpha=0.1) by (series) window 60s slide 60s: quantile_over_time_p0.9[10m] (merges 10), quantile_over_time_p0.9[30m] (merges 30) +- dd(alpha=0.1) by (series) window 1800s slide 1800s: quantile_over_time_p0.9[6h] (merges 12), quantile_over_time_p0.9[1d] (merges 48) + +Plan at SLA 1000.0: +- dd(alpha=0.1) by (job) window 0.005s slide 0.005s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4), quantile_over_time_p0.9[10m] (merges 40), quantile_over_time_p0.9[30m] (merges 120) +- dd(alpha=0.1) by (series) window 1800s slide 1800s: quantile_over_time_p0.9[6h] (merges 12), quantile_over_time_p0.9[1d] (merges 48) + +Plan at SLA 10000.0: +- dd(alpha=0.1) by (job) window 0.005s slide 0.005s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4) +- dd(alpha=0.1) by (series) window 60s slide 60s: quantile_over_time_p0.9[10m] (merges 10), quantile_over_time_p0.9[30m] (merges 30), quantile_over_time_p0.9[6h] (merges 360), quantile_over_time_p0.9[1d] (merges 1440) + +## synthetic/case/perf/long_interval=300/tp95 + +| SLA (ms) | vCPU | MVs | latency (ms) | +|---|---|---|---| +| none | 0.131 | 3 | 1.19e+03 | +| 10.0 | infeasible | | | +| 30.0 | 2.53 | 5 | 26 | +| 100.0 | 0.606 | 4 | 96.3 | +| 300.0 | 0.269 | 4 | 295 | +| 1000.0 | 0.166 | 3 | 592 | +| 3000.0 | 0.131 | 3 | 1.19e+03 | +| 10000.0 | 0.131 | 3 | 1.19e+03 | + +Plan at SLA none: +- dd(alpha=0.1) by (job) window 0.005s slide 0.005s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4), quantile_over_time_p0.9[10m] (merges 40), quantile_over_time_p0.9[30m] (merges 120) +- dd(alpha=0.1) by (series) window 300s slide 300s: quantile_over_time_p0.9[6h] (merges 72), quantile_over_time_p0.9[1d] (merges 288) + +Plan at SLA 30.0: +- dd(alpha=0.1) by (job) window 0.005s slide 0.005s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4) +- dd(alpha=0.1) by (series) window 300s slide 60s: quantile_over_time_p0.9[10m] (merges 2), quantile_over_time_p0.9[30m] (merges 6) +- dd(alpha=0.1) by (series) window 3600s slide 300s: quantile_over_time_p0.9[6h] (merges 6) +- dd(alpha=0.1) by (series) window 14400s slide 300s: quantile_over_time_p0.9[1d] (merges 6) + +Plan at SLA 100.0: +- dd(alpha=0.1) by (job) window 0.005s slide 0.005s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4) +- dd(alpha=0.1) by (series) window 120s slide 60s: quantile_over_time_p0.9[10m] (merges 5), quantile_over_time_p0.9[30m] (merges 15) +- dd(alpha=0.1) by (series) window 3600s slide 300s: quantile_over_time_p0.9[6h] (merges 6), quantile_over_time_p0.9[1d] (merges 24) + +Plan at SLA 300.0: +- dd(alpha=0.1) by (job) window 0.005s slide 0.005s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4) +- dd(alpha=0.1) by (series) window 60s slide 60s: quantile_over_time_p0.9[10m] (merges 10), quantile_over_time_p0.9[30m] (merges 30) +- dd(alpha=0.1) by (series) window 1200s slide 300s: quantile_over_time_p0.9[6h] (merges 18), quantile_over_time_p0.9[1d] (merges 72) + +Plan at SLA 1000.0: +- dd(alpha=0.1) by (job) window 0.005s slide 0.005s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4), quantile_over_time_p0.9[10m] (merges 40), quantile_over_time_p0.9[30m] (merges 120) +- dd(alpha=0.1) by (series) window 600s slide 300s: quantile_over_time_p0.9[6h] (merges 36), quantile_over_time_p0.9[1d] (merges 144) + +## synthetic/case/perf/long_interval=60/tp95 + +| SLA (ms) | vCPU | MVs | latency (ms) | +|---|---|---|---| +| none | 0.216 | 3 | 2.97e+03 | +| 10.0 | infeasible | | | +| 30.0 | infeasible | | | +| 100.0 | 2.87 | 4 | 88 | +| 300.0 | 0.877 | 4 | 295 | +| 1000.0 | 0.327 | 3 | 989 | +| 3000.0 | 0.216 | 3 | 2.97e+03 | +| 10000.0 | 0.216 | 3 | 2.97e+03 | + +Plan at SLA none: +- dd(alpha=0.1) by (job) window 0.005s slide 0.005s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4) +- dd(alpha=0.1) by (series) window 120s slide 60s: quantile_over_time_p0.9[10m] (merges 5), quantile_over_time_p0.9[30m] (merges 15), quantile_over_time_p0.9[6h] (merges 180), quantile_over_time_p0.9[1d] (merges 720) + +Plan at SLA 100.0: +- dd(alpha=0.1) by (job) window 0.005s slide 0.005s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4) +- dd(alpha=0.1) by (series) window 120s slide 60s: quantile_over_time_p0.9[10m] (merges 5), quantile_over_time_p0.9[30m] (merges 15) +- dd(alpha=0.1) by (series) window 4320s slide 60s: quantile_over_time_p0.9[6h] (merges 5), quantile_over_time_p0.9[1d] (merges 20) + +Plan at SLA 300.0: +- dd(alpha=0.1) by (job) window 0.005s slide 0.005s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4) +- dd(alpha=0.1) by (series) window 60s slide 60s: quantile_over_time_p0.9[10m] (merges 10), quantile_over_time_p0.9[30m] (merges 30) +- dd(alpha=0.1) by (series) window 1200s slide 60s: quantile_over_time_p0.9[6h] (merges 18), quantile_over_time_p0.9[1d] (merges 72) + +Plan at SLA 1000.0: +- dd(alpha=0.1) by (job) window 0.005s slide 0.005s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4), quantile_over_time_p0.9[10m] (merges 40) +- dd(alpha=0.1) by (series) window 360s slide 60s: quantile_over_time_p0.9[30m] (merges 5), quantile_over_time_p0.9[6h] (merges 60), quantile_over_time_p0.9[1d] (merges 240) + +## synthetic/case/perf/per_series=1000/tp95 + +| SLA (ms) | vCPU | MVs | latency (ms) | +|---|---|---|---| +| none | 0.406 | 2 | 2.38e+04 | +| 10.0 | infeasible | | | +| 30.0 | 3.2 | 5 | 26 | +| 100.0 | 1.13 | 4 | 96.3 | +| 300.0 | 0.758 | 4 | 195 | +| 1000.0 | 0.578 | 3 | 493 | +| 3000.0 | 0.578 | 3 | 493 | +| 10000.0 | 0.574 | 3 | 5.95e+03 | + +Plan at SLA none: +- dd(alpha=0.1) by (job) window 0.001s slide 0.001s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4), quantile_over_time_p0.9[10m] (merges 40), quantile_over_time_p0.9[30m] (merges 120), quantile_over_time_p0.9[6h] (merges 1440), quantile_over_time_p0.9[1d] (merges 5760) + +Plan at SLA 30.0: +- dd(alpha=0.1) by (job) window 0.001s slide 0.001s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4) +- dd(alpha=0.1) by (series) window 300s slide 60s: quantile_over_time_p0.9[10m] (merges 2), quantile_over_time_p0.9[30m] (merges 6) +- dd(alpha=0.1) by (series) window 3600s slide 1800s: quantile_over_time_p0.9[6h] (merges 6) +- dd(alpha=0.1) by (series) window 14400s slide 1800s: quantile_over_time_p0.9[1d] (merges 6) + +Plan at SLA 100.0: +- dd(alpha=0.1) by (job) window 0.001s slide 0.001s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4) +- dd(alpha=0.1) by (series) window 120s slide 60s: quantile_over_time_p0.9[10m] (merges 5), quantile_over_time_p0.9[30m] (merges 15) +- dd(alpha=0.1) by (series) window 3600s slide 1800s: quantile_over_time_p0.9[6h] (merges 6), quantile_over_time_p0.9[1d] (merges 24) + +Plan at SLA 300.0: +- dd(alpha=0.1) by (job) window 0.001s slide 0.001s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4) +- dd(alpha=0.1) by (series) window 60s slide 60s: quantile_over_time_p0.9[10m] (merges 10), quantile_over_time_p0.9[30m] (merges 30) +- dd(alpha=0.1) by (series) window 1800s slide 1800s: quantile_over_time_p0.9[6h] (merges 12), quantile_over_time_p0.9[1d] (merges 48) + +Plan at SLA 1000.0: +- dd(alpha=0.1) by (job) window 0.001s slide 0.001s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4), quantile_over_time_p0.9[10m] (merges 40), quantile_over_time_p0.9[30m] (merges 120) +- dd(alpha=0.1) by (series) window 1800s slide 1800s: quantile_over_time_p0.9[6h] (merges 12), quantile_over_time_p0.9[1d] (merges 48) + +Plan at SLA 10000.0: +- dd(alpha=0.1) by (job) window 0.001s slide 0.001s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4) +- dd(alpha=0.1) by (series) window 60s slide 60s: quantile_over_time_p0.9[10m] (merges 10), quantile_over_time_p0.9[30m] (merges 30), quantile_over_time_p0.9[6h] (merges 360), quantile_over_time_p0.9[1d] (merges 1440) + +## synthetic/case/perf/per_series=100/tp95 + +| SLA (ms) | vCPU | MVs | latency (ms) | +|---|---|---|---| +| none | 0.0651 | 3 | 5.95e+03 | +| 10.0 | 0.622 | 5 | 9.45 | +| 30.0 | 0.322 | 5 | 21.9 | +| 100.0 | 0.116 | 4 | 96.3 | +| 300.0 | 0.0799 | 4 | 195 | +| 1000.0 | 0.0694 | 3 | 493 | +| 3000.0 | 0.0694 | 3 | 493 | +| 10000.0 | 0.0651 | 3 | 5.95e+03 | + +Plan at SLA none: +- dd(alpha=0.1) by (job) window 0.01s slide 0.01s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4) +- dd(alpha=0.1) by (series) window 60s slide 60s: quantile_over_time_p0.9[10m] (merges 10), quantile_over_time_p0.9[30m] (merges 30), quantile_over_time_p0.9[6h] (merges 360), quantile_over_time_p0.9[1d] (merges 1440) + +Plan at SLA 10.0: +- dd(alpha=0.1) by (job) window 0.01s slide 0.01s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 30s slide 15s: quantile_over_time_p0.5[1m] (merges 2), quantile_over_time_p0.9[1m] (merges 2) +- dd(alpha=0.1) by (series) window 600s slide 60s: quantile_over_time_p0.9[10m] (merges 1), quantile_over_time_p0.9[30m] (merges 3) +- dd(alpha=0.1) by (series) window 7200s slide 1800s: quantile_over_time_p0.9[6h] (merges 3) +- dd(alpha=0.1) by (series) window 28800s slide 1800s: quantile_over_time_p0.9[1d] (merges 3) + +Plan at SLA 30.0: +- dd(alpha=0.1) by (job) window 0.01s slide 0.01s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4) +- dd(alpha=0.1) by (series) window 300s slide 60s: quantile_over_time_p0.9[10m] (merges 2), quantile_over_time_p0.9[30m] (merges 6) +- dd(alpha=0.1) by (series) window 3600s slide 1800s: quantile_over_time_p0.9[6h] (merges 6) +- dd(alpha=0.1) by (series) window 14400s slide 1800s: quantile_over_time_p0.9[1d] (merges 6) + +Plan at SLA 100.0: +- dd(alpha=0.1) by (job) window 0.01s slide 0.01s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4) +- dd(alpha=0.1) by (series) window 120s slide 60s: quantile_over_time_p0.9[10m] (merges 5), quantile_over_time_p0.9[30m] (merges 15) +- dd(alpha=0.1) by (series) window 3600s slide 1800s: quantile_over_time_p0.9[6h] (merges 6), quantile_over_time_p0.9[1d] (merges 24) + +Plan at SLA 300.0: +- dd(alpha=0.1) by (job) window 0.01s slide 0.01s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4) +- dd(alpha=0.1) by (series) window 60s slide 60s: quantile_over_time_p0.9[10m] (merges 10), quantile_over_time_p0.9[30m] (merges 30) +- dd(alpha=0.1) by (series) window 1800s slide 1800s: quantile_over_time_p0.9[6h] (merges 12), quantile_over_time_p0.9[1d] (merges 48) + +Plan at SLA 1000.0: +- dd(alpha=0.1) by (job) window 0.01s slide 0.01s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4), quantile_over_time_p0.9[10m] (merges 40), quantile_over_time_p0.9[30m] (merges 120) +- dd(alpha=0.1) by (series) window 1800s slide 1800s: quantile_over_time_p0.9[6h] (merges 12), quantile_over_time_p0.9[1d] (merges 48) + +## synthetic/case/perf/per_series=200/tp95 + +| SLA (ms) | vCPU | MVs | latency (ms) | +|---|---|---|---| +| none | 0.105 | 2 | 2.38e+04 | +| 10.0 | 1.24 | 5 | 9.45 | +| 30.0 | 0.643 | 5 | 21.9 | +| 100.0 | 0.229 | 4 | 96.3 | +| 300.0 | 0.155 | 4 | 195 | +| 1000.0 | 0.126 | 3 | 493 | +| 3000.0 | 0.126 | 3 | 493 | +| 10000.0 | 0.122 | 3 | 5.95e+03 | + +Plan at SLA none: +- dd(alpha=0.1) by (job) window 0.005s slide 0.005s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4), quantile_over_time_p0.9[10m] (merges 40), quantile_over_time_p0.9[30m] (merges 120), quantile_over_time_p0.9[6h] (merges 1440), quantile_over_time_p0.9[1d] (merges 5760) + +Plan at SLA 10.0: +- dd(alpha=0.1) by (job) window 0.005s slide 0.005s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 30s slide 15s: quantile_over_time_p0.5[1m] (merges 2), quantile_over_time_p0.9[1m] (merges 2) +- dd(alpha=0.1) by (series) window 600s slide 60s: quantile_over_time_p0.9[10m] (merges 1), quantile_over_time_p0.9[30m] (merges 3) +- dd(alpha=0.1) by (series) window 7200s slide 1800s: quantile_over_time_p0.9[6h] (merges 3) +- dd(alpha=0.1) by (series) window 28800s slide 1800s: quantile_over_time_p0.9[1d] (merges 3) + +Plan at SLA 30.0: +- dd(alpha=0.1) by (job) window 0.005s slide 0.005s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4) +- dd(alpha=0.1) by (series) window 300s slide 60s: quantile_over_time_p0.9[10m] (merges 2), quantile_over_time_p0.9[30m] (merges 6) +- dd(alpha=0.1) by (series) window 3600s slide 1800s: quantile_over_time_p0.9[6h] (merges 6) +- dd(alpha=0.1) by (series) window 14400s slide 1800s: quantile_over_time_p0.9[1d] (merges 6) + +Plan at SLA 100.0: +- dd(alpha=0.1) by (job) window 0.005s slide 0.005s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4) +- dd(alpha=0.1) by (series) window 120s slide 60s: quantile_over_time_p0.9[10m] (merges 5), quantile_over_time_p0.9[30m] (merges 15) +- dd(alpha=0.1) by (series) window 3600s slide 1800s: quantile_over_time_p0.9[6h] (merges 6), quantile_over_time_p0.9[1d] (merges 24) + +Plan at SLA 300.0: +- dd(alpha=0.1) by (job) window 0.005s slide 0.005s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4) +- dd(alpha=0.1) by (series) window 60s slide 60s: quantile_over_time_p0.9[10m] (merges 10), quantile_over_time_p0.9[30m] (merges 30) +- dd(alpha=0.1) by (series) window 1800s slide 1800s: quantile_over_time_p0.9[6h] (merges 12), quantile_over_time_p0.9[1d] (merges 48) + +Plan at SLA 1000.0: +- dd(alpha=0.1) by (job) window 0.005s slide 0.005s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4), quantile_over_time_p0.9[10m] (merges 40), quantile_over_time_p0.9[30m] (merges 120) +- dd(alpha=0.1) by (series) window 1800s slide 1800s: quantile_over_time_p0.9[6h] (merges 12), quantile_over_time_p0.9[1d] (merges 48) + +Plan at SLA 10000.0: +- dd(alpha=0.1) by (job) window 0.005s slide 0.005s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4) +- dd(alpha=0.1) by (series) window 60s slide 60s: quantile_over_time_p0.9[10m] (merges 10), quantile_over_time_p0.9[30m] (merges 30), quantile_over_time_p0.9[6h] (merges 360), quantile_over_time_p0.9[1d] (merges 1440) + +## synthetic/case/perf/per_series=20/tp95 + +| SLA (ms) | vCPU | MVs | latency (ms) | +|---|---|---|---| +| none | 0.0197 | 4 | 195 | +| 10.0 | 0.125 | 5 | 9.45 | +| 30.0 | 0.0663 | 5 | 21.9 | +| 100.0 | 0.0258 | 4 | 96.3 | +| 300.0 | 0.0197 | 4 | 195 | +| 1000.0 | 0.0197 | 4 | 195 | +| 3000.0 | 0.0197 | 4 | 195 | +| 10000.0 | 0.0197 | 4 | 195 | + +Plan at SLA none: +- dd(alpha=0.1) by (job) window 0.05s slide 0.05s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4) +- dd(alpha=0.1) by (series) window 60s slide 60s: quantile_over_time_p0.9[10m] (merges 10), quantile_over_time_p0.9[30m] (merges 30) +- dd(alpha=0.1) by (series) window 1800s slide 1800s: quantile_over_time_p0.9[6h] (merges 12), quantile_over_time_p0.9[1d] (merges 48) + +Plan at SLA 10.0: +- dd(alpha=0.1) by (job) window 0.05s slide 0.05s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 30s slide 15s: quantile_over_time_p0.5[1m] (merges 2), quantile_over_time_p0.9[1m] (merges 2) +- dd(alpha=0.1) by (series) window 600s slide 60s: quantile_over_time_p0.9[10m] (merges 1), quantile_over_time_p0.9[30m] (merges 3) +- dd(alpha=0.1) by (series) window 7200s slide 1800s: quantile_over_time_p0.9[6h] (merges 3) +- dd(alpha=0.1) by (series) window 28800s slide 1800s: quantile_over_time_p0.9[1d] (merges 3) + +Plan at SLA 30.0: +- dd(alpha=0.1) by (job) window 0.05s slide 0.05s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4) +- dd(alpha=0.1) by (series) window 300s slide 60s: quantile_over_time_p0.9[10m] (merges 2), quantile_over_time_p0.9[30m] (merges 6) +- dd(alpha=0.1) by (series) window 3600s slide 1800s: quantile_over_time_p0.9[6h] (merges 6) +- dd(alpha=0.1) by (series) window 14400s slide 1800s: quantile_over_time_p0.9[1d] (merges 6) + +Plan at SLA 100.0: +- dd(alpha=0.1) by (job) window 0.05s slide 0.05s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4) +- dd(alpha=0.1) by (series) window 120s slide 60s: quantile_over_time_p0.9[10m] (merges 5), quantile_over_time_p0.9[30m] (merges 15) +- dd(alpha=0.1) by (series) window 3600s slide 1800s: quantile_over_time_p0.9[6h] (merges 6), quantile_over_time_p0.9[1d] (merges 24) + +## synthetic/case/perf/per_series=500/tp95 + +| SLA (ms) | vCPU | MVs | latency (ms) | +|---|---|---|---| +| none | 0.218 | 2 | 2.38e+04 | +| 10.0 | infeasible | | | +| 30.0 | 1.6 | 5 | 21.9 | +| 100.0 | 0.568 | 4 | 96.3 | +| 300.0 | 0.381 | 4 | 195 | +| 1000.0 | 0.295 | 3 | 493 | +| 3000.0 | 0.295 | 3 | 493 | +| 10000.0 | 0.291 | 3 | 5.95e+03 | + +Plan at SLA none: +- dd(alpha=0.1) by (job) window 0.002s slide 0.002s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4), quantile_over_time_p0.9[10m] (merges 40), quantile_over_time_p0.9[30m] (merges 120), quantile_over_time_p0.9[6h] (merges 1440), quantile_over_time_p0.9[1d] (merges 5760) + +Plan at SLA 30.0: +- dd(alpha=0.1) by (job) window 0.002s slide 0.002s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4) +- dd(alpha=0.1) by (series) window 300s slide 60s: quantile_over_time_p0.9[10m] (merges 2), quantile_over_time_p0.9[30m] (merges 6) +- dd(alpha=0.1) by (series) window 3600s slide 1800s: quantile_over_time_p0.9[6h] (merges 6) +- dd(alpha=0.1) by (series) window 14400s slide 1800s: quantile_over_time_p0.9[1d] (merges 6) + +Plan at SLA 100.0: +- dd(alpha=0.1) by (job) window 0.002s slide 0.002s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4) +- dd(alpha=0.1) by (series) window 120s slide 60s: quantile_over_time_p0.9[10m] (merges 5), quantile_over_time_p0.9[30m] (merges 15) +- dd(alpha=0.1) by (series) window 3600s slide 1800s: quantile_over_time_p0.9[6h] (merges 6), quantile_over_time_p0.9[1d] (merges 24) + +Plan at SLA 300.0: +- dd(alpha=0.1) by (job) window 0.002s slide 0.002s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4) +- dd(alpha=0.1) by (series) window 60s slide 60s: quantile_over_time_p0.9[10m] (merges 10), quantile_over_time_p0.9[30m] (merges 30) +- dd(alpha=0.1) by (series) window 1800s slide 1800s: quantile_over_time_p0.9[6h] (merges 12), quantile_over_time_p0.9[1d] (merges 48) + +Plan at SLA 1000.0: +- dd(alpha=0.1) by (job) window 0.002s slide 0.002s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4), quantile_over_time_p0.9[10m] (merges 40), quantile_over_time_p0.9[30m] (merges 120) +- dd(alpha=0.1) by (series) window 1800s slide 1800s: quantile_over_time_p0.9[6h] (merges 12), quantile_over_time_p0.9[1d] (merges 48) + +Plan at SLA 10000.0: +- dd(alpha=0.1) by (job) window 0.002s slide 0.002s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4) +- dd(alpha=0.1) by (series) window 60s slide 60s: quantile_over_time_p0.9[10m] (merges 10), quantile_over_time_p0.9[30m] (merges 30), quantile_over_time_p0.9[6h] (merges 360), quantile_over_time_p0.9[1d] (merges 1440) + +## synthetic/case/perf/per_series=50/tp95 + +| SLA (ms) | vCPU | MVs | latency (ms) | +|---|---|---|---| +| none | 0.0368 | 3 | 5.95e+03 | +| 10.0 | 0.312 | 5 | 9.45 | +| 30.0 | 0.162 | 5 | 21.9 | +| 100.0 | 0.0597 | 4 | 96.3 | +| 300.0 | 0.0423 | 4 | 195 | +| 1000.0 | 0.0411 | 3 | 493 | +| 3000.0 | 0.0411 | 3 | 493 | +| 10000.0 | 0.0368 | 3 | 5.95e+03 | + +Plan at SLA none: +- dd(alpha=0.1) by (job) window 0.02s slide 0.02s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4) +- dd(alpha=0.1) by (series) window 60s slide 60s: quantile_over_time_p0.9[10m] (merges 10), quantile_over_time_p0.9[30m] (merges 30), quantile_over_time_p0.9[6h] (merges 360), quantile_over_time_p0.9[1d] (merges 1440) + +Plan at SLA 10.0: +- dd(alpha=0.1) by (job) window 0.02s slide 0.02s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 30s slide 15s: quantile_over_time_p0.5[1m] (merges 2), quantile_over_time_p0.9[1m] (merges 2) +- dd(alpha=0.1) by (series) window 600s slide 60s: quantile_over_time_p0.9[10m] (merges 1), quantile_over_time_p0.9[30m] (merges 3) +- dd(alpha=0.1) by (series) window 7200s slide 1800s: quantile_over_time_p0.9[6h] (merges 3) +- dd(alpha=0.1) by (series) window 28800s slide 1800s: quantile_over_time_p0.9[1d] (merges 3) + +Plan at SLA 30.0: +- dd(alpha=0.1) by (job) window 0.02s slide 0.02s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4) +- dd(alpha=0.1) by (series) window 300s slide 60s: quantile_over_time_p0.9[10m] (merges 2), quantile_over_time_p0.9[30m] (merges 6) +- dd(alpha=0.1) by (series) window 3600s slide 1800s: quantile_over_time_p0.9[6h] (merges 6) +- dd(alpha=0.1) by (series) window 14400s slide 1800s: quantile_over_time_p0.9[1d] (merges 6) + +Plan at SLA 100.0: +- dd(alpha=0.1) by (job) window 0.02s slide 0.02s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4) +- dd(alpha=0.1) by (series) window 120s slide 60s: quantile_over_time_p0.9[10m] (merges 5), quantile_over_time_p0.9[30m] (merges 15) +- dd(alpha=0.1) by (series) window 3600s slide 1800s: quantile_over_time_p0.9[6h] (merges 6), quantile_over_time_p0.9[1d] (merges 24) + +Plan at SLA 300.0: +- dd(alpha=0.1) by (job) window 0.02s slide 0.02s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4) +- dd(alpha=0.1) by (series) window 60s slide 60s: quantile_over_time_p0.9[10m] (merges 10), quantile_over_time_p0.9[30m] (merges 30) +- dd(alpha=0.1) by (series) window 1800s slide 1800s: quantile_over_time_p0.9[6h] (merges 12), quantile_over_time_p0.9[1d] (merges 48) + +Plan at SLA 1000.0: +- dd(alpha=0.1) by (job) window 0.02s slide 0.02s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4), quantile_over_time_p0.9[10m] (merges 40), quantile_over_time_p0.9[30m] (merges 120) +- dd(alpha=0.1) by (series) window 1800s slide 1800s: quantile_over_time_p0.9[6h] (merges 12), quantile_over_time_p0.9[1d] (merges 48) + +## synthetic/case/perf/series=100000/tp95 + +| SLA (ms) | vCPU | MVs | latency (ms) | +|---|---|---|---| +| none | 1.05 | 2 | 2.38e+05 | +| 10.0 | infeasible | | | +| 30.0 | infeasible | | | +| 100.0 | infeasible | | | +| 300.0 | infeasible | | | +| 1000.0 | 2.29 | 4 | 963 | +| 3000.0 | 1.55 | 4 | 1.95e+03 | +| 10000.0 | 1.26 | 3 | 4.93e+03 | + +Plan at SLA none: +- dd(alpha=0.1) by (job) window 0.005s slide 0.005s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4), quantile_over_time_p0.9[10m] (merges 40), quantile_over_time_p0.9[30m] (merges 120), quantile_over_time_p0.9[6h] (merges 1440), quantile_over_time_p0.9[1d] (merges 5760) + +Plan at SLA 1000.0: +- dd(alpha=0.1) by (job) window 0.005s slide 0.005s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4) +- dd(alpha=0.1) by (series) window 120s slide 60s: quantile_over_time_p0.9[10m] (merges 5), quantile_over_time_p0.9[30m] (merges 15) +- dd(alpha=0.1) by (series) window 3600s slide 1800s: quantile_over_time_p0.9[6h] (merges 6), quantile_over_time_p0.9[1d] (merges 24) + +Plan at SLA 3000.0: +- dd(alpha=0.1) by (job) window 0.005s slide 0.005s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4) +- dd(alpha=0.1) by (series) window 60s slide 60s: quantile_over_time_p0.9[10m] (merges 10), quantile_over_time_p0.9[30m] (merges 30) +- dd(alpha=0.1) by (series) window 1800s slide 1800s: quantile_over_time_p0.9[6h] (merges 12), quantile_over_time_p0.9[1d] (merges 48) + +Plan at SLA 10000.0: +- dd(alpha=0.1) by (job) window 0.005s slide 0.005s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4), quantile_over_time_p0.9[10m] (merges 40), quantile_over_time_p0.9[30m] (merges 120) +- dd(alpha=0.1) by (series) window 1800s slide 1800s: quantile_over_time_p0.9[6h] (merges 12), quantile_over_time_p0.9[1d] (merges 48) + +## synthetic/case/perf/series=10000/tp95 + +| SLA (ms) | vCPU | MVs | latency (ms) | +|---|---|---|---| +| none | 0.105 | 2 | 2.38e+04 | +| 10.0 | 1.24 | 5 | 9.45 | +| 30.0 | 0.643 | 5 | 21.9 | +| 100.0 | 0.229 | 4 | 96.3 | +| 300.0 | 0.155 | 4 | 195 | +| 1000.0 | 0.126 | 3 | 493 | +| 3000.0 | 0.126 | 3 | 493 | +| 10000.0 | 0.122 | 3 | 5.95e+03 | + +Plan at SLA none: +- dd(alpha=0.1) by (job) window 0.005s slide 0.005s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4), quantile_over_time_p0.9[10m] (merges 40), quantile_over_time_p0.9[30m] (merges 120), quantile_over_time_p0.9[6h] (merges 1440), quantile_over_time_p0.9[1d] (merges 5760) + +Plan at SLA 10.0: +- dd(alpha=0.1) by (job) window 0.005s slide 0.005s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 30s slide 15s: quantile_over_time_p0.5[1m] (merges 2), quantile_over_time_p0.9[1m] (merges 2) +- dd(alpha=0.1) by (series) window 600s slide 60s: quantile_over_time_p0.9[10m] (merges 1), quantile_over_time_p0.9[30m] (merges 3) +- dd(alpha=0.1) by (series) window 7200s slide 1800s: quantile_over_time_p0.9[6h] (merges 3) +- dd(alpha=0.1) by (series) window 28800s slide 1800s: quantile_over_time_p0.9[1d] (merges 3) + +Plan at SLA 30.0: +- dd(alpha=0.1) by (job) window 0.005s slide 0.005s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4) +- dd(alpha=0.1) by (series) window 300s slide 60s: quantile_over_time_p0.9[10m] (merges 2), quantile_over_time_p0.9[30m] (merges 6) +- dd(alpha=0.1) by (series) window 3600s slide 1800s: quantile_over_time_p0.9[6h] (merges 6) +- dd(alpha=0.1) by (series) window 14400s slide 1800s: quantile_over_time_p0.9[1d] (merges 6) + +Plan at SLA 100.0: +- dd(alpha=0.1) by (job) window 0.005s slide 0.005s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4) +- dd(alpha=0.1) by (series) window 120s slide 60s: quantile_over_time_p0.9[10m] (merges 5), quantile_over_time_p0.9[30m] (merges 15) +- dd(alpha=0.1) by (series) window 3600s slide 1800s: quantile_over_time_p0.9[6h] (merges 6), quantile_over_time_p0.9[1d] (merges 24) + +Plan at SLA 300.0: +- dd(alpha=0.1) by (job) window 0.005s slide 0.005s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4) +- dd(alpha=0.1) by (series) window 60s slide 60s: quantile_over_time_p0.9[10m] (merges 10), quantile_over_time_p0.9[30m] (merges 30) +- dd(alpha=0.1) by (series) window 1800s slide 1800s: quantile_over_time_p0.9[6h] (merges 12), quantile_over_time_p0.9[1d] (merges 48) + +Plan at SLA 1000.0: +- dd(alpha=0.1) by (job) window 0.005s slide 0.005s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4), quantile_over_time_p0.9[10m] (merges 40), quantile_over_time_p0.9[30m] (merges 120) +- dd(alpha=0.1) by (series) window 1800s slide 1800s: quantile_over_time_p0.9[6h] (merges 12), quantile_over_time_p0.9[1d] (merges 48) + +Plan at SLA 10000.0: +- dd(alpha=0.1) by (job) window 0.005s slide 0.005s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4) +- dd(alpha=0.1) by (series) window 60s slide 60s: quantile_over_time_p0.9[10m] (merges 10), quantile_over_time_p0.9[30m] (merges 30), quantile_over_time_p0.9[6h] (merges 360), quantile_over_time_p0.9[1d] (merges 1440) + +## synthetic/case/perf/series=30000/tp95 + +| SLA (ms) | vCPU | MVs | latency (ms) | +|---|---|---|---| +| none | 0.314 | 2 | 7.14e+04 | +| 10.0 | infeasible | | | +| 30.0 | infeasible | | | +| 100.0 | 1.48 | 4 | 90.4 | +| 300.0 | 0.687 | 4 | 289 | +| 1000.0 | 0.466 | 4 | 586 | +| 3000.0 | 0.378 | 3 | 1.48e+03 | +| 10000.0 | 0.378 | 3 | 1.48e+03 | + +Plan at SLA none: +- dd(alpha=0.1) by (job) window 0.005s slide 0.005s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4), quantile_over_time_p0.9[10m] (merges 40), quantile_over_time_p0.9[30m] (merges 120), quantile_over_time_p0.9[6h] (merges 1440), quantile_over_time_p0.9[1d] (merges 5760) + +Plan at SLA 100.0: +- dd(alpha=0.1) by (job) window 0.005s slide 0.005s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4) +- dd(alpha=0.1) by (series) window 300s slide 60s: quantile_over_time_p0.9[10m] (merges 2), quantile_over_time_p0.9[30m] (merges 6) +- dd(alpha=0.1) by (series) window 10800s slide 1800s: quantile_over_time_p0.9[6h] (merges 2), quantile_over_time_p0.9[1d] (merges 8) + +Plan at SLA 300.0: +- dd(alpha=0.1) by (job) window 0.005s slide 0.005s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4) +- dd(alpha=0.1) by (series) window 120s slide 60s: quantile_over_time_p0.9[10m] (merges 5), quantile_over_time_p0.9[30m] (merges 15) +- dd(alpha=0.1) by (series) window 3600s slide 1800s: quantile_over_time_p0.9[6h] (merges 6), quantile_over_time_p0.9[1d] (merges 24) + +Plan at SLA 1000.0: +- dd(alpha=0.1) by (job) window 0.005s slide 0.005s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4) +- dd(alpha=0.1) by (series) window 60s slide 60s: quantile_over_time_p0.9[10m] (merges 10), quantile_over_time_p0.9[30m] (merges 30) +- dd(alpha=0.1) by (series) window 1800s slide 1800s: quantile_over_time_p0.9[6h] (merges 12), quantile_over_time_p0.9[1d] (merges 48) + +Plan at SLA 3000.0: +- dd(alpha=0.1) by (job) window 0.005s slide 0.005s: quantile_by_job_p0.5[1 scrape] (merges 1), quantile_by_job_p0.9[1 scrape] (merges 1) +- dd(alpha=0.1) by (series) window 15s slide 15s: quantile_over_time_p0.5[1m] (merges 4), quantile_over_time_p0.9[1m] (merges 4), quantile_over_time_p0.9[10m] (merges 40), quantile_over_time_p0.9[30m] (merges 120) +- dd(alpha=0.1) by (series) window 1800s slide 1800s: quantile_over_time_p0.9[6h] (merges 12), quantile_over_time_p0.9[1d] (merges 48) diff --git a/scripts/case_study_tables.py b/scripts/case_study_tables.py new file mode 100644 index 00000000..04eaf894 --- /dev/null +++ b/scripts/case_study_tables.py @@ -0,0 +1,164 @@ +#!/usr/bin/env python3 +"""Tables for the §6.3.1 case studies (performance monitoring, anomaly +detection), each swept one knob at a time, for `autosketch_vs_asap synthetic`. + +Each table is one workload in the format `export_autosketch_eval_table.py +--synthetic` writes, holding only the fields the runner reads. The anomaly +metric's groups and coverage come from that script's `grouping_cardinality` +and `group_coverage`. The metric is named `requests`, not `http`, so no Hydra +grid (measured at `http`'s schema only) is a candidate. + +Writes OUT/--.json and OUT/plan.tsv (table, SLA grid). + + python3 scripts/case_study_tables.py --out DIR +""" + +import argparse +import json +import os +import sys + +sys.path.insert(0, os.path.dirname(os.path.abspath(__file__))) +import export_autosketch_eval_table as exporter # noqa: E402 + +QUANTILE_FAMILIES = [ + {"family": "kll", "sketch": "kll-percall", "target": 0.01, "grid_param": 2.0, "grid_K": None}, + {"family": "dd", "sketch": "dd", "target": 0.01, "grid_param": 2.0, "grid_K": None}, +] +# Batch latency SLAs (ms) each case's (or knob's) tables are also solved +# under: around its cheapest plan's latency (perf 24 s, anomaly 3.3 ms, with +# the drill-down 7-165 ms). +SLAS_MS = {"perf": [10, 30, 100, 300, 1_000, 3_000, 10_000], + "anomaly": [0.3, 0.5, 1, 2, 3], + "drilldown_endpoints": [3, 10, 30, 100]} +MIN, HOUR = 60, 3600 + + +def quantile_rqe(dataset, query_id, stream, metric, groups, rate, lookback_secs, + interval_secs, grouping=None, coverage=None, covers_share=None): + rqe = { + "id": f"{dataset}/{query_id}/values/{lookback_secs}s", + "query_id": query_id, "kind": "values", "capability": "quantile", + "stream": stream, "metric": metric, + "lookback_secs": lookback_secs, "interval_secs": interval_secs, + "label_set": {"groups": groups, "arrival_rate_per_sec": rate, "keys_per_window": None}, + "queries_per_instance": 1, "families": QUANTILE_FAMILIES, + } + if grouping is not None: + covered, min_share, max_share = coverage + rqe.update({"grouping": grouping, "covers_share": covers_share, "covered_groups": covered, + "min_covered_share": min_share, "max_covered_share": max_share}) + return rqe + + +def table(dataset, rqes, schemas=None, samples_per_sec_per_series=None): + workload = {"dataset": dataset, "rqes": rqes, "schemas": schemas or {}} + if samples_per_sec_per_series: + workload["e2e"] = {"metrics": {"data": { + "samples_per_sec_per_series": samples_per_sec_per_series}}} + return {"schema_version": 1, "plan": "sketch-bench case studies (§6.3.1)", + "workloads": [workload]} + + +def performance(dataset, series=10_000, jobs=10, per_series=200, long_interval=30 * MIN): + """Three dashboards on one gauge: instant p50/p90 by job and p50/p90 over + 1m every 15 s; p90 over 10m and 30m every minute; p90 over 6h and 24h + every `long_interval`. One scrape is 1/`per_series` s.""" + rate = series * per_series + scrape = 1 / per_series + by_job = lambda q: quantile_rqe(dataset, f"quantile_by_job_p{q}", "job/dist", "data", + jobs, rate, scrape, 15) + over = lambda q, lookback, interval: quantile_rqe( + dataset, f"quantile_over_time_p{q}", "series/dist", "data", series, rate, + lookback, interval) + rqes = [by_job("0.5"), by_job("0.9"), over("0.5", MIN, 15), over("0.9", MIN, 15), + over("0.9", 10 * MIN, MIN), over("0.9", 30 * MIN, MIN), + over("0.9", 6 * HOUR, long_interval), over("0.9", 24 * HOUR, long_interval)] + return table(dataset, rqes, samples_per_sec_per_series=per_series) + + +ANOMALY_QUERIES = [ # (grouping, interval, covers_share) + (["service"], 15, None), (["region"], 15, None), + (["service", "region"], MIN, None), (["service", "endpoint"], MIN, None), + (["service", "region", "status"], 5 * MIN, None), (["region", "endpoint"], 5 * MIN, None), +] +# A drill-down over every label, for groups holding at least 1% of requests +# (the smallest groups fall below the curves' first N). +DRILLDOWN = (["region", "service", "endpoint", "status"], 5 * MIN, 0.01) + + +def anomaly(dataset, endpoints=25, statuses=4, rate=2_000_000, intervals=None, drilldown=False): + """p99 latency over 5m by six groupings of (region, service, endpoint, + status), every group covered, plus DRILLDOWN with `drilldown`. + `intervals` overrides ANOMALY_QUERIES'.""" + schema = { + "labels": [ + {"name": "region", "cardinality": 4, "skew": 0.5}, + {"name": "service", "cardinality": 25, "skew": 1.1}, + {"name": "endpoint", "cardinality": endpoints, "child_of": "service", "skew": 1.1}, + {"name": "status", "cardinality": statuses, "skew": 2.0}, + ], + "rate": rate, + "values": {"latency": {"pareto": 2.0}}, + } + exporter.SCHEMAS["requests"] = schema + rqes = [] + queries = ANOMALY_QUERIES + ([DRILLDOWN] if drilldown else []) + intervals = intervals or [None] * len(queries) + assert len(intervals) == len(queries), (len(intervals), len(queries)) + for (grouping, interval, covers), override in zip(queries, intervals): + coverage = exporter.group_coverage("requests", grouping, covers) + smallest = rate * 5 * MIN * coverage[1] + assert smallest >= exporter.SCHEMA_MIN_COVERED_N, (dataset, grouping, smallest) + rqes.append(quantile_rqe( + dataset, f"p99_by_{','.join(grouping)}", "requests/latency", "requests", + exporter.grouping_cardinality("requests", grouping), rate, 5 * MIN, + override or interval, grouping, coverage, covers)) + return table(dataset, rqes, schemas={"requests": schema}) + + +# (case, knob, values, table builder for one value). The first case of each +# knob's default value is the paper's workload. +SWEEPS = [ + ("perf", "base", [0], lambda d, v: performance(d)), + ("perf", "long_interval", [15, MIN, 5 * MIN, 30 * MIN], + lambda d, v: performance(d, long_interval=v)), + # From 1e4 series: at 1e3 the per-job instant queries (100 series per + # job) fall below the curves' first N. + ("perf", "series", [10_000, 30_000, 100_000], lambda d, v: performance(d, series=v)), + # At least 20 samples/s per series, so the 1m and per-job instant + # queries hold the curves' first N (1e3 items). + ("perf", "per_series", [20, 50, 100, 200, 500, 1000], + lambda d, v: performance(d, per_series=v)), + ("anomaly", "base", [0], lambda d, v: anomaly(d)), + ("anomaly", "endpoints", [2, 5, 10, 25, 50, 100], lambda d, v: anomaly(d, endpoints=v)), + ("anomaly", "drilldown_endpoints", [2, 5, 10, 25, 50, 100], + lambda d, v: anomaly(d, endpoints=v, drilldown=True)), + ("anomaly", "statuses", [2, 4, 8, 16], lambda d, v: anomaly(d, statuses=v)), + ("anomaly", "rate", [250_000, 500_000, 2_000_000, 20_000_000], + lambda d, v: anomaly(d, rate=v)), + # Every query at one interval. + ("anomaly", "interval", [15, MIN, 5 * MIN], lambda d, v: anomaly(d, intervals=[v] * 6)), +] + + +def main(): + parser = argparse.ArgumentParser(description=__doc__.splitlines()[0]) + parser.add_argument("--out", required=True) + args = parser.parse_args() + os.makedirs(args.out, exist_ok=True) + plan = [] + for case, knob, values, build in SWEEPS: + for value in values: + name = f"{case}-{knob}-{value}" + with open(os.path.join(args.out, f"{name}.json"), "w") as f: + json.dump(build(f"synthetic/case/{case}/{knob}={value}", value), f, indent=1) + f.write("\n") + plan.append((name, SLAS_MS.get(knob, SLAS_MS[case]))) + with open(os.path.join(args.out, "plan.tsv"), "w") as f: + f.writelines(f"{name}.json\t{','.join(map(str, slas))}\n" for name, slas in plan) + print(f"{len(plan)} tables in {args.out}") + + +if __name__ == "__main__": + main() diff --git a/scripts/summarize_case_studies.py b/scripts/summarize_case_studies.py new file mode 100644 index 00000000..085e3058 --- /dev/null +++ b/scripts/summarize_case_studies.py @@ -0,0 +1,92 @@ +#!/usr/bin/env python3 +"""Each case-study result's ASAP plans, one block per table: cost, MV count +and latency with no SLA and at each batch latency SLA, and each distinct +plan's MVs (sketch, grouping, window/slide, the queries each serves). + + python3 scripts/summarize_case_studies.py RESULT.json... > summary.md +""" + +import json +import sys +from collections import defaultdict + + +def short(rqe_id): + """`case/perf/base=0/quantile_over_time_p0.9/values/86400s` -> `quantile_over_time_p0.9[24h]`.""" + *_, query, _, lookback = rqe_id.split("/") + secs = float(lookback.rstrip("s")) + for unit, size in [("d", 86400), ("h", 3600), ("m", 60), ("s", 1)]: + if secs >= size and secs % size == 0: + return f"{query}[{int(secs // size)}{unit}]" + return f"{query}[1 scrape]" + + +def grouping_of(rqe_id): + """A query's group-by labels, from its id: `p99_by_service,region` and + `quantile_by_job_p0.5` name theirs; `quantile_over_time` is per series.""" + query = rqe_id.split("/")[-3] + if query.startswith("quantile_over_time"): + return ["series"] + return query.split("_by_")[1].split("_")[0].split(",") + + +def secs(value): + return f"{value:g}s" + + +def mvs(plan): + """ASAP's deployments: (description, queries) per deployment index.""" + by_deployment = defaultdict(list) + for choice in plan["chosen"]: + by_deployment[choice["deployment"]].append(choice) + out = [] + for choices in by_deployment.values(): + first = choices[0] + params = ",".join(f"{k}={v}" for k, v in first["params"].items()) + # The runner names the deployment's grouping only where it differs + # from the RQE's (a roll-up or a Hydra grid). + grouping = first.get("deployment_grouping") or grouping_of(first["rqe"]) + out.append((f"{first['sketch']}({params}) by ({','.join(grouping)}) " + f"window {secs(first['window_secs'])} " + f"slide {secs(first['slide_secs'])}", + [f"{short(c['rqe'])} (merges {c['merged_shards']})" for c in choices])) + return out + + +def cheapest(result): + return next(r for r in result["results"] + if r["method"] == "asap" and r["weights"] == "cpu" and r["bound_ms"] is None) + + +def describe(path): + result = json.load(open(path)) + lines = [f"## {result['workload']}", ""] + lines.append("| SLA (ms) | vCPU | MVs | latency (ms) |") + lines.append("|---|---|---|---|") + plans = [("none", cheapest(result))] + plans += [(r["sla_ms"], r) for r in result["sla_results"] + if r["method"] == "asap" and r["weights"] == "cpu"] + for sla, asap in plans: + if asap.get("infeasible"): + lines.append(f"| {sla} | infeasible | | |") + else: + lines.append(f"| {sla} | {asap['cpu']:.3g} | {asap['active_deployments']} " + f"| {asap['latency_ms']:.3g} |") + lines.append("") + seen = set() + for sla, asap in plans: + if asap.get("infeasible"): + continue + plan = mvs(asap) + key = json.dumps(plan) + if key in seen: + continue + seen.add(key) + lines.append(f"Plan at SLA {sla}:") + lines += [f"- {mv}: {', '.join(queries)}" for mv, queries in plan] + lines.append("") + return "\n".join(lines) + + +if __name__ == "__main__": + print("\n".join(describe(path) for path in sys.argv[1:]), end="")