diff --git a/.gitignore b/.gitignore index 6fa0de4..c17c512 100644 --- a/.gitignore +++ b/.gitignore @@ -13,6 +13,8 @@ # The AutoSketch-vs-ASAP eval's accuracy curves are inputs, committed so it # reruns from the repo alone. !rqe-optimizer/results/autosketch-vs-asap-inputs/saturation/**/*.csv +# The Hydra eval's study table is an input, committed so it reruns from the repo. +!rqe-optimizer/results/autosketch-vs-asap-hydra/inputs/**/*.csv *.pcap # Rust target directories diff --git a/rqe-optimizer/results/autosketch-vs-asap-hydra/README.md b/rqe-optimizer/results/autosketch-vs-asap-hydra/README.md new file mode 100644 index 0000000..f72103e --- /dev/null +++ b/rqe-optimizer/results/autosketch-vs-asap-hydra/README.md @@ -0,0 +1,206 @@ +# AutoSketch vs. ASAP with Hydra candidates and roll-ups + +Results of ProjectASAP/ASAPQuery#777's synthetic evaluation (§6.3), rerun with +everything added since #138: + +- the planner may serve a coarse RQE from a finer deployment by merging its + groups (**roll-ups**, #190), and an **ablation** without them; +- **Hydra** grids (hydra-hll, hydra-univmon-cardinality, hydra-kll) are + candidates for ASAP and PerQuery, with accuracy measured on the eval's own + data (#193 design; #195–#202 measurement and optimizer); +- **multi-grouping** templates (`http` and `flows`, templates 11–17, #196), + among them p99 latency `GROUP BY CUBE(region, service, endpoint)` + (template 16, all 7 groupings), evaluated alone (**multi-grouping**) and + added to the classic mixed set (**mixed + multi-grouping**); +- the KLL footprint is asap_sketchlib's real allocation (#192), and the cost + table is re-measured. + +Cost is billed by use (sketch-bench `docs/rqe_optimizer_cost_model.md`): +`w_cpu · AUC(CPU) + w_mem · AUC(memory)`, at two weight settings (CPU only, in +vCPU; AWS Fargate's per-vCPU and per-GiB prices, in $/hour). Every RQE has a +p95 accuracy target (0.05 in its family's own metric). An RQE with a coverage +rule is held to the worse of its smallest and largest covered group +(sketch-bench#189). Hydra is held to its measured worst error over the covered +groups, the worst over N and seeds. + +## Methods + +| Method | What it may use | +|---|---| +| ASAP | the MILP over every RQE jointly: shared deployments, roll-ups, Hydra grids | +| ASAP (no roll-ups) | the same MILP, each RQE only at its own grouping (or a Hydra grid): the roll-up ablation | +| PerQuery-CostAware | the same MILP without sharing (one deployment per RQE, no roll-ups) | +| AutoSketch-Adapted | fixed configs chosen by memory (NSDI '24); no Hydra (#159) | + +## Results + +Cost of each method's cheapest plan (no latency bound), absolute: + +| Workload | RQEs | Weights | ASAP | ASAP (no roll-ups) | PerQuery | AutoSketch | RQEs rolled up | Deployments (with / without roll-ups) | +|---|---|---|---|---|---|---|---|---| +| mixed (classic) | 50 | CPU (vCPU) | 3.54 | 3.54 | 10.5 | 3,716 | 0 | 8 / 8 | +| mixed (classic) | 50 | Fargate ($/h) | 0.230 | 0.230 | 0.752 | 176 | 0 | 8 / 8 | +| mixed, r = 8 | 92 | CPU | 3.66 | 3.66 | 18.5 | 4,456 | 0 | 8 / 8 | +| mixed, m = 8 | 400 | CPU | 28.3 | 28.3 | 84.1 | 29,726 | 0 | 64 / 64 | +| mixed, m = 16 | 800 | CPU | 56.6 | 56.6 | 168 | 59,452 | 0 | 128 / 128 | +| mixed, m = 16 | 800 | Fargate | 3.68 | 3.68 | 12.0 | 2,808 | 0 | 128 / 128 | +| multi-grouping | 62 | CPU | 0.221 | 0.551 | 1.07 | 10.2 | 52 | 5 / 26 | +| multi-grouping | 62 | Fargate | 0.0137 | 0.0339 | 0.0597 | 0.430 | 52 | 5 / 26 | +| multi-grouping, r = 8 | 124 | CPU | 0.242 | 0.573 | 2.04 | 12.3 | 104 | 5 / 26 | +| multi-grouping, m = 8 | 496 | CPU | 1.77 | 4.41 | 8.55 | 81.7 | 416 | 40 / 208 | +| multi-grouping, m = 16 | 992 | CPU | 3.53 | 8.81 | 17.1 | 163 | 832 | 80 / 416 | +| multi-grouping, m = 16 | 992 | Fargate | 0.218 | 0.542 | 0.955 | 6.87 | 832 | 80 / 416 | +| mixed + multi-grouping | 112 | CPU | 3.76 | 4.09 | 11.6 | 3,726 | 52 | 13 / 34 | +| mixed + multi-grouping | 112 | Fargate | 0.243 | 0.264 | 0.812 | 176 | 52 | 13 / 34 | +| mixed + multi-grouping, r = 8 | 216 | CPU | 3.90 | 4.23 | 20.5 | 4,468 | 104 | 13 / 34 | +| mixed + multi-grouping, m = 8 | 896 | CPU | 30.1 | 32.7 | 92.7 | 29,808 | 416 | 104 / 272 | +| mixed + multi-grouping, m = 16 | 1792 | CPU | 60.2 | 65.4 | 185 | 59,615 | 832 | 208 / 544 | +| mixed + multi-grouping, m = 16 | 1792 | Fargate | 3.89 | 4.22 | 13.0 | 2,815 | 832 | 208 / 544 | + +Every workload: 0 RQEs dropped, 0 sanity violations (ASAP ≤ ASAP without +roll-ups ≤ PerQuery, and ASAP ≤ AutoSketch). `summary_synthetic.md` has +every frontier point; `summary_sla.md` every SLA. + +Planning time (CPU weights): ASAP (candidates + MILP) vs. AutoSketch (search +plus its measured benchmark, approxbench accuracy runs at 1e8 items): + +| Workload | RQEs | ASAP | PerQuery | AutoSketch | +|---|---|---|---|---| +| mixed (classic) | 50 | 0.72 s | 0.64 s | 0.002 s + 212 s | +| mixed, m = 16 | 800 | 13.7 s | 11.4 s | 0.035 s + 3,394 s | +| multi-grouping | 62 | 0.41 s | 0.22 s | 0.002 s + 269 s | +| multi-grouping, m = 16 | 992 | 7.0 s | 4.1 s | 0.037 s + 4,309 s | +| mixed + multi-grouping | 112 | 1.12 s | 0.88 s | 0.004 s + 481 s | +| mixed + multi-grouping, m = 16 | 1792 | 22.5 s | 16.7 s | 0.079 s + 7,702 s | + +### Roll-ups + +On the **multi-grouping** set, ASAP serves 52 of 62 RQEs from a finer +deployment, cutting its deployments from 26 to 5 and its cost by **60%** +(0.551 → 0.221 vCPU; 0.0339 → 0.0137 $/h), and by the same share at r = 8, +m = 8 and m = 16. The cube (template 16) is the clearest case: one KLL +deployment at (region, service, endpoint) answers all 14 p99 RQEs. Every +deployment ingests the whole stream, so cost grows with the number of +groupings kept. A KLL or DDSketch merge summarizes the pooled data of the +merged groups, so a roll-up answers a coarse group's p99, not a quantile of +quantiles (KLL reads its measured merge curve). + +On **mixed + multi-grouping**, roll-ups save 8% (4.09 → 3.76 vCPU, 34 → 13 +deployments): the classic templates, whose streams have one grouping each, +are most of the cost. On classic alone, roll-ups never apply and the two ASAP +lines coincide. ASAP's ~3× advantage over PerQuery on classic comes from +sharing deployments across RQEs at the same grouping. + +### Hydra + +Hydra grids are candidates for every eligible RQE, and many are eligible +(e.g. hydra-hll at W ≥ 4096 for flows at ≥ 5% coverage; hydra-kll by service +at W = 16384 for every group). **Neither ASAP nor PerQuery chooses a Hydra +grid in any workload, weight setting, bound or SLA** (`hydra_rqes = 0` +throughout). A Hydra insert fans out to every label subset in every row and +costs 1.9 µs per record (flows, 3 labels) to 5.1 µs (http, 4 labels), against +3.85 ns for a per-group HLL insert; at the eval's rates that is 8–11 vCPU of +ingest for one grid, against ASAP's 0.05–1.9 vCPU for the whole stream. The +only near case is flows under Fargate weights, where a Hydra-only plan costs +1.8× ASAP's (it uses 4.4× less memory). A check on real traces (Alibaba 2022, +Google 2011; not committed) agreed: Hydra meets 0.05 only for groups holding +≥ 1–5% of records, and per-group sketches that grow with n use less memory +than the grid at the W that needs. + +hydra-univmon-cardinality reads ≈ 100% error at N ≥ 1e6 at every W +(8 layers × a small heap saturate at ~1e6 distinct values per cell), so it is +ruled out by accuracy; cardinality's Hydra candidate is hydra-hll. + +## Figures + +- `fig_frontier.png`: version 1, cost vs. query latency per workload and + weight setting; frontiers swept over latency bounds (ASAP, ASAP without + roll-ups, PerQuery as lines; AutoSketch, which ignores latency, as a point). +- `fig_cost_vs_sla.png`: version 2, each method's cost at batch-latency SLAs + {100, 300, 1000, 3000, 10000} ms (AutoSketch: ● meets the SLA, × misses). + With the multi-grouping templates the tightest feasible bound is 490 ms + (the per-(service, endpoint) queries), so the 100 and 300 ms SLAs have no + plan. +- `fig_planning_time.png`: planning time vs. RQEs (multi-grouping set). +- `fig_rollup_ablation.png`: ASAP vs. ASAP without roll-ups, cheapest plan per + workload (CPU only, log scale). + +## Plans + +`plans/.plans.json.gz`: each workload's chosen plans, from a rerun with +the plans kept (`--runs 1`, without `--no-chosen`; costs are deterministic, so +they match the results above). `plans` lists, for each method and weight +setting, the cheapest plan (`kind: "cheapest"`) and the plan at each feasible +SLA (`kind: "sla"`, `sla_ms`), with its cost, latency and deployments. +`chosen` has one entry per RQE: + +| Field | Meaning | +|---|---| +| `rqe` | the RQE's id (table, query, kind, range) | +| `sketch`, `params` | the deployment's sketch and config | +| `window_secs`, `slide_secs` | the deployment's window and slide | +| `merged_shards` | windows the query merges (lookback / window) | +| `deployment` | the deployment's index; RQEs with one index share it | +| `deployment_grouping` | present for a roll-up or Hydra grid: the deployment's (finer) grouping | +| `ingest_workers`, `latency_ms` | ingest workers and the RQE's chain latency | +| `asap_accuracy`, `accuracy_source` | estimated error and where it was read | +| `covers_share` | the RQE's coverage rule, if any | + +```sh +zcat plans/synthetic-templatesmultigroup-shared1.plans.json.gz | jq '.plans[] + | select(.kind == "cheapest" and .method == "asap" and .weights == "cpu") | .chosen' +``` + +## Inputs + +- `inputs/saturation/optimizer_cost/rqe_atomic_costs.json`: the cost table, + 56 rows, measured serially on idle clnode138 (`study_saturation.py --phase + optimizer-cost --seeds 3 --hydra-variants hydra-hll,hydra-kll`), including + Hydra rows per dataset (`measured_at.dataset`) and #192's KLL footprint. +- `inputs/saturation/hydra_saturation.csv`: the Hydra study (`--phase hydra`, + #202), 6,779 runs on 4 CloudLab nodes; hydra-kll on `hydra_http_latency` + rerun with per-service latency scales (×1–10 log-uniform), so groups differ + in distribution as they do in practice. +- The accuracy curves (`out_grid_1e7_cost/`, `out_1e9/`) are the committed + #138 study's, in `../autosketch-vs-asap-inputs/saturation/` (#194). +- `inputs/tables/`: the workloads, `export_autosketch_eval_table.py + --synthetic` (classic, multigroup and all × r ∈ {1, 8} × m ∈ {1, 8, 16}). + +## Reproduce + +```sh +cargo build --release -p aqpbm-cli -p rqe-optimizer --bins --examples +DIR=rqe-optimizer/results/autosketch-vs-asap-hydra +# saturation dir = the #138 curves + this cost table and Hydra study: +SAT=$(mktemp -d); cp -r rqe-optimizer/results/autosketch-vs-asap-inputs/saturation/out_* $SAT/ +cp -r $DIR/inputs/saturation/* $SAT/ +while IFS=$'\t' read -r table target result; do + target/release/examples/autosketch_vs_asap synthetic --table $DIR/inputs/tables/$table \ + --target $target --runs 3 --no-chosen --saturation-dir $SAT --out $DIR/$result +done < $DIR/inputs/tables/plan.tsv +python3 scripts/autosketch_benchmark_time.py --binary target/release/approxbench \ + --out $DIR/autosketch-benchmark-times.json $DIR/synthetic-*-tp95.json +python3 scripts/plot_autosketch_vs_asap_synthetic.py $DIR +python3 scripts/plot_autosketch_vs_asap_sla.py $DIR $DIR/synthetic-*-tp95.json +``` + +Runs: Xeon E5-2683 v3, 56 cores, `--runs 3`, runner from sketch-bench +`hydra/eval-integration` at 44ac160. Classic: one large table per CloudLab node +(clnode178, 167; the small ones serially on clnode138), 2026-10-10. +Multigroup and all (with the cube template): serially on one idle node, +2026-10-11. + +## Caveats + +- The cost model charges a per-group sketch its insert only, not routing a + sample to its group's sketch (~100 ns per record per deployment on the + real traces). Adding it raises ASAP's flows ingest from 0.11 to ~1.3 vCPU, + still far below a Hydra grid's 8.2; the Hydra conclusion holds. +- Per-group sketch memory is asap_sketchlib's full allocation from + construction (#192); sketches that grow with n would favour per-group + sketches further. +- Hydra datasets: no flows DDoS burst (datagen can't tie a source set to a + subnet), uniform proto, smaller UnivMon cells (3×256, 8 layers, heap 64). +- Template 12 groups by (dst_subnet, proto) rather than (dst_subnet, + dst_port): answering 1e6 groups every minute took ~49 s and set every + plan's batch latency above the largest SLA. diff --git a/rqe-optimizer/results/autosketch-vs-asap-hydra/autosketch-benchmark-times.json b/rqe-optimizer/results/autosketch-vs-asap-hydra/autosketch-benchmark-times.json new file mode 100644 index 0000000..4da336c --- /dev/null +++ b/rqe-optimizer/results/autosketch-vs-asap-hydra/autosketch-benchmark-times.json @@ -0,0 +1,17 @@ +{ + "n": 100000000.0, + "secs": { + 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a/rqe-optimizer/results/autosketch-vs-asap-hydra/fig_rollup_ablation.png b/rqe-optimizer/results/autosketch-vs-asap-hydra/fig_rollup_ablation.png new file mode 100644 index 0000000..af0ee67 Binary files /dev/null and b/rqe-optimizer/results/autosketch-vs-asap-hydra/fig_rollup_ablation.png differ diff --git a/rqe-optimizer/results/autosketch-vs-asap-hydra/inputs/saturation/hydra_saturation.csv b/rqe-optimizer/results/autosketch-vs-asap-hydra/inputs/saturation/hydra_saturation.csv new file mode 100644 index 0000000..6843731 --- /dev/null +++ b/rqe-optimizer/results/autosketch-vs-asap-hydra/inputs/saturation/hydra_saturation.csv @@ -0,0 +1,6780 @@ +variant,statistic,config,R,W,dataset,group_columns,schema_width,records,fanned_mass,merge_shards,merge_split,seed,err_mean,err_p50,err_p90,err_max,groups_scored,err_max_cov_0.01,err_max_cov_0.05 +hydra-hll,cardinality,rows=3 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+synthetic-templatesall-shared1-metrics16.json p95 synthetic-templatesall-shared1-metrics16-tp95.json +synthetic-templatesclassic-shared1.json p95 synthetic-templatesclassic-shared1-tp95.json +synthetic-templatesclassic-shared8.json p95 synthetic-templatesclassic-shared8-tp95.json +synthetic-templatesclassic-shared1-metrics8.json p95 synthetic-templatesclassic-shared1-metrics8-tp95.json +synthetic-templatesclassic-shared1-metrics16.json p95 synthetic-templatesclassic-shared1-metrics16-tp95.json +synthetic-templatesmultigroup-shared1.json p95 synthetic-templatesmultigroup-shared1-tp95.json +synthetic-templatesmultigroup-shared8.json p95 synthetic-templatesmultigroup-shared8-tp95.json +synthetic-templatesmultigroup-shared1-metrics8.json p95 synthetic-templatesmultigroup-shared1-metrics8-tp95.json +synthetic-templatesmultigroup-shared1-metrics16.json p95 synthetic-templatesmultigroup-shared1-metrics16-tp95.json diff --git 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file diff --git a/rqe-optimizer/results/autosketch-vs-asap-hydra/inputs/tables/synthetic-templatesmultigroup-shared1.json b/rqe-optimizer/results/autosketch-vs-asap-hydra/inputs/tables/synthetic-templatesmultigroup-shared1.json new file mode 100644 index 0000000..e20f698 --- /dev/null +++ b/rqe-optimizer/results/autosketch-vs-asap-hydra/inputs/tables/synthetic-templatesmultigroup-shared1.json @@ -0,0 +1 @@ +{"inputs": {}, "plan": "ProjectASAP/ASAPQuery#777", "schema_version": 1, "sketch_bench_revision": "beacf68", "workloads": [{"dataset": "synthetic/templates=multigroup/shared=1", "rqes": [{"assumptions": [], "capability": "cardinality", "covered_groups": 4, "covered_max_N": 204564050.92183775, "covered_min_N": 60102524.89078111, "covers_share": 0.05, "dataset": "synthetic/templates=multigroup/shared=1", "families": [{"family": "hll", "grid_K": 1000000, "grid_param": 0.0, "sketch": "hll", "target": 0.02}], "grouping": ["dst_subnet"], "id": 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10, "label": "endpoint"}, "pareto": 2.0, "scaled_by": "service"}, "user_id": {"keys": 1000000, "zipf": 0.8}}}}}]} \ No newline at end of file diff --git a/rqe-optimizer/results/autosketch-vs-asap-hydra/inputs/tables/synthetic-templatesmultigroup-shared8.json b/rqe-optimizer/results/autosketch-vs-asap-hydra/inputs/tables/synthetic-templatesmultigroup-shared8.json new file mode 100644 index 0000000..5a4d193 --- /dev/null +++ b/rqe-optimizer/results/autosketch-vs-asap-hydra/inputs/tables/synthetic-templatesmultigroup-shared8.json @@ -0,0 +1 @@ +{"inputs": {}, "plan": "ProjectASAP/ASAPQuery#777", "schema_version": 1, "sketch_bench_revision": "beacf68", "workloads": [{"dataset": "synthetic/templates=multigroup/shared=8", "rqes": [{"assumptions": [], "capability": "cardinality", "covered_groups": 4, "covered_max_N": 204564050.92183775, "covered_min_N": 60102524.89078111, "covers_share": 0.05, "dataset": "synthetic/templates=multigroup/shared=8", "families": [{"family": "hll", "grid_K": 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"instant": false, "interval_secs": 300, "kind": "keys", "label_set": {"arrival_rate_per_sec": 2000000, "groups": 625, "keys_per_window": 1000000}, "lookback_secs": 900, "max_N": 2880000.0, "max_covered_share": 0.08905134454913503, "metric": "http", "min_N": 2880000.0, "min_covered_share": 7.484666639290972e-05, "queries_per_instance": 1, "query_id": "t17_distinct_users_by_service,endpoint", "range": "15m@300s", "stream": "http/user_id"}], "schemas": {"flows": {"labels": [{"cardinality": 1000, "name": "dst_subnet", "skew": 1.1}, {"cardinality": 1000, "name": "dst_port", "skew": 1.2}, {"cardinality": 3, "name": "proto", "skew": 0.0}], "rate": 4000000, "values": {"src_ip": {"burst": {"keys": 10000, "label": "dst_subnet", "share": 0.05, "value": 999}, "keys": 1000000, "zipf": 0.0}}}, "http": {"labels": [{"cardinality": 4, "name": "region", "skew": 0.5}, {"cardinality": 25, "name": "service", "skew": 1.1}, {"cardinality": 25, "child_of": "service", "name": "endpoint", "skew": 1.1}, {"cardinality": 4, "name": "status", "skew": 2.0}], "rate": 2000000, "values": {"latency": {"anomaly": {"factor": 10, "label": "endpoint"}, "pareto": 2.0, "scaled_by": "service"}, "user_id": {"keys": 1000000, "zipf": 0.8}}}}}]} \ No newline at end of file diff --git a/rqe-optimizer/results/autosketch-vs-asap-hydra/plans/synthetic-templatesall-shared1-metrics16.plans.json.gz b/rqe-optimizer/results/autosketch-vs-asap-hydra/plans/synthetic-templatesall-shared1-metrics16.plans.json.gz new file mode 100644 index 0000000..4430698 Binary files /dev/null and b/rqe-optimizer/results/autosketch-vs-asap-hydra/plans/synthetic-templatesall-shared1-metrics16.plans.json.gz differ diff --git a/rqe-optimizer/results/autosketch-vs-asap-hydra/plans/synthetic-templatesall-shared1-metrics8.plans.json.gz b/rqe-optimizer/results/autosketch-vs-asap-hydra/plans/synthetic-templatesall-shared1-metrics8.plans.json.gz new file mode 100644 index 0000000..87d205b Binary files /dev/null and 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violations: 0. Tightest feasible SLA: ASAP 87.7 ms, PerQuery 87.7 ms. AutoSketch latency 1.01e+03 ms; planning time (search + measured benchmark) 212 s. + +| weights | SLA (ms) | method | cost | latency (ms) | CPU (vCPU) | GiB | meets SLA | +|---|---|---|---|---|---|---|---| +| cpu | 100 | ASAP | 36.7 | 99.8 | 36.7 | 34.8 | yes | +| cpu | 100 | ASAP (no roll-ups) | 36.7 | 99.8 | 36.7 | 34.8 | yes | +| cpu | 100 | PerQuery-CostAware | 64.5 | 97.4 | 64.5 | 76.5 | yes | +| cpu | 100 | AutoSketch-Adapted | 3.72e+03 | 1.01e+03 | 3.72e+03 | 5.62e+03 | **no** | +| cpu | 300 | ASAP | 12.7 | 291 | 12.7 | 16.5 | yes | +| cpu | 300 | ASAP (no roll-ups) | 12.7 | 291 | 12.7 | 16.5 | yes | +| cpu | 300 | PerQuery-CostAware | 24.7 | 291 | 24.7 | 68.9 | yes | +| cpu | 300 | AutoSketch-Adapted | 3.72e+03 | 1.01e+03 | 3.72e+03 | 5.62e+03 | **no** | +| cpu | 1e+03 | ASAP | 5.67 | 980 | 5.67 | 30.7 | yes | +| cpu | 1e+03 | ASAP (no roll-ups) | 5.67 | 980 | 5.67 | 30.7 | yes | +| cpu | 1e+03 | PerQuery-CostAware | 13.5 | 980 | 13.5 | 157 | yes | +| cpu | 1e+03 | AutoSketch-Adapted | 3.72e+03 | 1.01e+03 | 3.72e+03 | 5.62e+03 | **no** | +| cpu | 3e+03 | ASAP | 3.6 | 2.68e+03 | 3.6 | 18.9 | yes | +| cpu | 3e+03 | ASAP (no roll-ups) | 3.6 | 2.68e+03 | 3.6 | 18.9 | yes | +| cpu | 3e+03 | PerQuery-CostAware | 10.8 | 2.68e+03 | 10.8 | 142 | yes | +| cpu | 3e+03 | AutoSketch-Adapted | 3.72e+03 | 1.01e+03 | 3.72e+03 | 5.62e+03 | yes | +| cpu | 1e+04 | ASAP | 3.6 | 2.68e+03 | 3.6 | 18.9 | yes | +| cpu | 1e+04 | ASAP (no roll-ups) | 3.6 | 2.68e+03 | 3.6 | 18.9 | yes | +| cpu | 1e+04 | PerQuery-CostAware | 10.5 | 3.33e+03 | 10.5 | 77 | yes | +| cpu | 1e+04 | AutoSketch-Adapted | 3.72e+03 | 1.01e+03 | 3.72e+03 | 5.62e+03 | yes | +| fargate | 100 | ASAP | 1.59 | 96.9 | 37.1 | 18.8 | yes | +| fargate | 100 | ASAP (no roll-ups) | 1.59 | 96.9 | 37.1 | 18.8 | yes | +| fargate | 100 | PerQuery-CostAware | 2.95 | 97.4 | 64.6 | 75.7 | yes | +| fargate | 100 | AutoSketch-Adapted | 176 | 1.01e+03 | 3.72e+03 | 5.62e+03 | **no** | +| fargate | 300 | ASAP | 0.586 | 291 | 12.7 | 16.5 | yes | +| fargate | 300 | ASAP (no roll-ups) | 0.586 | 291 | 12.7 | 16.5 | yes | +| fargate | 300 | PerQuery-CostAware | 1.3 | 291 | 24.7 | 68.2 | yes | +| fargate | 300 | AutoSketch-Adapted | 176 | 1.01e+03 | 3.72e+03 | 5.62e+03 | **no** | +| fargate | 1e+03 | ASAP | 0.307 | 896 | 5.69 | 17.2 | yes | +| fargate | 1e+03 | ASAP (no roll-ups) | 0.307 | 896 | 5.69 | 17.2 | yes | +| fargate | 1e+03 | PerQuery-CostAware | 0.864 | 896 | 13.7 | 69.7 | yes | +| fargate | 1e+03 | AutoSketch-Adapted | 176 | 1.01e+03 | 3.72e+03 | 5.62e+03 | **no** | +| fargate | 3e+03 | ASAP | 0.23 | 2.68e+03 | 3.6 | 18.9 | yes | +| fargate | 3e+03 | ASAP (no roll-ups) | 0.23 | 2.68e+03 | 3.6 | 18.9 | yes | +| fargate | 3e+03 | PerQuery-CostAware | 0.757 | 2.68e+03 | 10.9 | 70.9 | yes | +| fargate | 3e+03 | AutoSketch-Adapted | 176 | 1.01e+03 | 3.72e+03 | 5.62e+03 | yes | +| fargate | 1e+04 | ASAP | 0.23 | 2.68e+03 | 3.6 | 18.9 | yes | +| fargate | 1e+04 | ASAP (no roll-ups) | 0.23 | 2.68e+03 | 3.6 | 18.9 | yes | +| fargate | 1e+04 | PerQuery-CostAware | 0.752 | 3.26e+03 | 10.8 | 70.9 | yes | +| fargate | 1e+04 | AutoSketch-Adapted | 176 | 1.01e+03 | 3.72e+03 | 5.62e+03 | yes | + +Roll-up ablation (ASAP vs. ASAP without roll-ups): + +| weights | SLA (ms) | RQEs rolled up | deployments with | deployments without | cost with | cost without | saving | +|---|---|---|---|---|---|---|---| +| cpu | 100 | 0 | 14 | 14 | 36.7 | 36.7 | 0.0% | +| cpu | 300 | 0 | 13 | 13 | 12.7 | 12.7 | 0.0% | +| cpu | 1e+03 | 0 | 9 | 9 | 5.67 | 5.67 | 0.0% | +| cpu | 3e+03 | 0 | 8 | 8 | 3.6 | 3.6 | 0.0% | +| cpu | 1e+04 | 0 | 8 | 8 | 3.6 | 3.6 | 0.0% | +| fargate | 100 | 0 | 14 | 14 | 1.59 | 1.59 | 0.0% | +| fargate | 300 | 0 | 13 | 13 | 0.586 | 0.586 | 0.0% | +| fargate | 1e+03 | 0 | 9 | 9 | 0.307 | 0.307 | 0.0% | +| fargate | 3e+03 | 0 | 8 | 8 | 0.23 | 0.23 | 0.0% | +| fargate | 1e+04 | 0 | 8 | 8 | 0.23 | 0.23 | 0.0% | + +## multi-grouping: 62 RQEs + +Sanity violations: 0. Tightest feasible SLA: ASAP 490 ms, PerQuery 490 ms. AutoSketch latency 490 ms; planning time (search + measured benchmark) 269 s. + +| weights | SLA (ms) | method | cost | latency (ms) | CPU (vCPU) | GiB | meets SLA | +|---|---|---|---|---|---|---|---| +| cpu | 100 | ASAP | infeasible (tightest 490 ms) ||||| +| cpu | 100 | ASAP (no roll-ups) | infeasible (tightest 490 ms) ||||| +| cpu | 100 | PerQuery-CostAware | infeasible (tightest 490 ms) ||||| +| cpu | 100 | AutoSketch-Adapted | 10.2 | 490 | 10.2 | 3.55 | **no** | +| cpu | 300 | ASAP | infeasible (tightest 490 ms) ||||| +| cpu | 300 | ASAP (no roll-ups) | infeasible (tightest 490 ms) ||||| +| cpu | 300 | PerQuery-CostAware | infeasible (tightest 490 ms) ||||| +| cpu | 300 | AutoSketch-Adapted | 10.2 | 490 | 10.2 | 3.55 | **no** | +| cpu | 1e+03 | ASAP | 0.221 | 557 | 0.221 | 1.06 | yes | +| cpu | 1e+03 | ASAP (no roll-ups) | 0.551 | 959 | 0.551 | 2.6 | yes | +| cpu | 1e+03 | PerQuery-CostAware | 1.07 | 959 | 1.07 | 3.69 | yes | +| cpu | 1e+03 | AutoSketch-Adapted | 10.2 | 490 | 10.2 | 3.55 | yes | +| cpu | 3e+03 | ASAP | 0.221 | 557 | 0.221 | 1.06 | yes | +| cpu | 3e+03 | ASAP (no roll-ups) | 0.551 | 959 | 0.551 | 2.6 | yes | +| cpu | 3e+03 | PerQuery-CostAware | 1.07 | 959 | 1.07 | 3.69 | yes | +| cpu | 3e+03 | AutoSketch-Adapted | 10.2 | 490 | 10.2 | 3.55 | yes | +| cpu | 1e+04 | ASAP | 0.221 | 557 | 0.221 | 1.06 | yes | +| cpu | 1e+04 | ASAP (no roll-ups) | 0.551 | 959 | 0.551 | 2.6 | yes | +| cpu | 1e+04 | PerQuery-CostAware | 1.07 | 959 | 1.07 | 3.69 | yes | +| cpu | 1e+04 | AutoSketch-Adapted | 10.2 | 490 | 10.2 | 3.55 | yes | +| fargate | 100 | ASAP | infeasible (tightest 490 ms) ||||| +| fargate | 100 | ASAP (no roll-ups) | infeasible (tightest 490 ms) ||||| +| fargate | 100 | PerQuery-CostAware | infeasible (tightest 490 ms) ||||| +| fargate | 100 | AutoSketch-Adapted | 0.43 | 490 | 10.2 | 3.55 | **no** | +| fargate | 300 | ASAP | infeasible (tightest 490 ms) ||||| +| fargate | 300 | ASAP (no roll-ups) | infeasible (tightest 490 ms) ||||| +| fargate | 300 | PerQuery-CostAware | infeasible (tightest 490 ms) ||||| +| fargate | 300 | AutoSketch-Adapted | 0.43 | 490 | 10.2 | 3.55 | **no** | +| fargate | 1e+03 | ASAP | 0.0137 | 557 | 0.224 | 1.03 | yes | +| fargate | 1e+03 | ASAP (no roll-ups) | 0.0339 | 959 | 0.559 | 2.52 | yes | +| fargate | 1e+03 | PerQuery-CostAware | 0.0597 | 959 | 1.08 | 3.61 | yes | +| fargate | 1e+03 | AutoSketch-Adapted | 0.43 | 490 | 10.2 | 3.55 | yes | +| fargate | 3e+03 | ASAP | 0.0137 | 557 | 0.224 | 1.03 | yes | +| fargate | 3e+03 | ASAP (no roll-ups) | 0.0339 | 959 | 0.559 | 2.52 | yes | +| fargate | 3e+03 | PerQuery-CostAware | 0.0597 | 959 | 1.08 | 3.61 | yes | +| fargate | 3e+03 | AutoSketch-Adapted | 0.43 | 490 | 10.2 | 3.55 | yes | +| fargate | 1e+04 | ASAP | 0.0137 | 557 | 0.224 | 1.03 | yes | +| fargate | 1e+04 | ASAP (no roll-ups) | 0.0339 | 959 | 0.559 | 2.52 | yes | +| fargate | 1e+04 | PerQuery-CostAware | 0.0597 | 959 | 1.08 | 3.61 | yes | +| fargate | 1e+04 | AutoSketch-Adapted | 0.43 | 490 | 10.2 | 3.55 | yes | + +Roll-up ablation (ASAP vs. ASAP without roll-ups): + +| weights | SLA (ms) | RQEs rolled up | deployments with | deployments without | cost with | cost without | saving | +|---|---|---|---|---|---|---|---| +| cpu | 1e+03 | 52 | 5 | 26 | 0.221 | 0.551 | 59.9% | +| cpu | 3e+03 | 52 | 5 | 26 | 0.221 | 0.551 | 59.9% | +| cpu | 1e+04 | 52 | 5 | 26 | 0.221 | 0.551 | 59.9% | +| fargate | 1e+03 | 52 | 5 | 26 | 0.0137 | 0.0339 | 59.7% | +| fargate | 3e+03 | 52 | 5 | 26 | 0.0137 | 0.0339 | 59.7% | +| fargate | 1e+04 | 52 | 5 | 26 | 0.0137 | 0.0339 | 59.7% | + +## mixed, r = 8: 92 RQEs + +Sanity violations: 0. Tightest feasible SLA: ASAP 87.7 ms, PerQuery 87.7 ms. AutoSketch latency 1.01e+03 ms; planning time (search + measured benchmark) 212 s. + +| weights | SLA (ms) | method | cost | latency (ms) | CPU (vCPU) | GiB | meets SLA | +|---|---|---|---|---|---|---|---| +| cpu | 100 | ASAP | 36.7 | 99.8 | 36.7 | 34.8 | yes | +| cpu | 100 | ASAP (no roll-ups) | 36.7 | 99.8 | 36.7 | 34.8 | yes | +| cpu | 100 | PerQuery-CostAware | 80.8 | 97.4 | 80.8 | 107 | yes | +| cpu | 100 | AutoSketch-Adapted | 4.46e+03 | 1.01e+03 | 4.46e+03 | 5.86e+03 | **no** | +| cpu | 300 | ASAP | 12.7 | 291 | 12.7 | 16.5 | yes | +| cpu | 300 | ASAP (no roll-ups) | 12.7 | 291 | 12.7 | 16.5 | yes | +| cpu | 300 | PerQuery-CostAware | 34.8 | 291 | 34.8 | 99.4 | yes | +| cpu | 300 | AutoSketch-Adapted | 4.46e+03 | 1.01e+03 | 4.46e+03 | 5.86e+03 | **no** | +| cpu | 1e+03 | ASAP | 5.71 | 980 | 5.71 | 30.7 | yes | +| cpu | 1e+03 | ASAP (no roll-ups) | 5.71 | 980 | 5.71 | 30.7 | yes | +| cpu | 1e+03 | PerQuery-CostAware | 21.6 | 980 | 21.6 | 187 | yes | +| cpu | 1e+03 | AutoSketch-Adapted | 4.46e+03 | 1.01e+03 | 4.46e+03 | 5.86e+03 | **no** | +| cpu | 3e+03 | ASAP | 3.66 | 2.68e+03 | 3.66 | 18.9 | yes | +| cpu | 3e+03 | ASAP (no roll-ups) | 3.66 | 2.68e+03 | 3.66 | 18.9 | yes | +| cpu | 3e+03 | PerQuery-CostAware | 18.8 | 2.68e+03 | 18.8 | 172 | yes | +| cpu | 3e+03 | AutoSketch-Adapted | 4.46e+03 | 1.01e+03 | 4.46e+03 | 5.86e+03 | yes | +| cpu | 1e+04 | ASAP | 3.66 | 2.68e+03 | 3.66 | 18.9 | yes | +| cpu | 1e+04 | ASAP (no roll-ups) | 3.66 | 2.68e+03 | 3.66 | 18.9 | yes | +| cpu | 1e+04 | PerQuery-CostAware | 18.5 | 3.33e+03 | 18.5 | 107 | yes | +| cpu | 1e+04 | AutoSketch-Adapted | 4.46e+03 | 1.01e+03 | 4.46e+03 | 5.86e+03 | yes | +| fargate | 100 | ASAP | 1.59 | 96.9 | 37.1 | 18.8 | yes | +| fargate | 100 | ASAP (no roll-ups) | 1.59 | 96.9 | 37.1 | 18.8 | yes | +| fargate | 100 | PerQuery-CostAware | 3.69 | 97.4 | 81.3 | 88.7 | yes | +| fargate | 100 | AutoSketch-Adapted | 207 | 1.01e+03 | 4.46e+03 | 5.86e+03 | **no** | +| fargate | 300 | ASAP | 0.587 | 291 | 12.7 | 16.5 | yes | +| fargate | 300 | ASAP (no roll-ups) | 0.587 | 291 | 12.7 | 16.5 | yes | +| fargate | 300 | PerQuery-CostAware | 1.78 | 291 | 35 | 81.2 | yes | +| fargate | 300 | AutoSketch-Adapted | 207 | 1.01e+03 | 4.46e+03 | 5.86e+03 | **no** | +| fargate | 1e+03 | ASAP | 0.308 | 896 | 5.72 | 17.2 | yes | +| fargate | 1e+03 | ASAP (no roll-ups) | 0.308 | 896 | 5.72 | 17.2 | yes | +| fargate | 1e+03 | PerQuery-CostAware | 1.26 | 896 | 21.9 | 83 | yes | +| fargate | 1e+03 | AutoSketch-Adapted | 207 | 1.01e+03 | 4.46e+03 | 5.86e+03 | **no** | +| fargate | 3e+03 | ASAP | 0.232 | 2.68e+03 | 3.66 | 18.9 | yes | +| fargate | 3e+03 | ASAP (no roll-ups) | 0.232 | 2.68e+03 | 3.66 | 18.9 | yes | +| fargate | 3e+03 | PerQuery-CostAware | 1.14 | 2.68e+03 | 18.9 | 84.2 | yes | +| fargate | 3e+03 | AutoSketch-Adapted | 207 | 1.01e+03 | 4.46e+03 | 5.86e+03 | yes | +| fargate | 1e+04 | ASAP | 0.232 | 2.68e+03 | 3.66 | 18.9 | yes | +| fargate | 1e+04 | ASAP (no roll-ups) | 0.232 | 2.68e+03 | 3.66 | 18.9 | yes | +| fargate | 1e+04 | PerQuery-CostAware | 1.14 | 3.26e+03 | 18.8 | 84.2 | yes | +| fargate | 1e+04 | AutoSketch-Adapted | 207 | 1.01e+03 | 4.46e+03 | 5.86e+03 | yes | + +Roll-up ablation (ASAP vs. ASAP without roll-ups): + +| weights | SLA (ms) | RQEs rolled up | deployments with | deployments without | cost with | cost without | saving | +|---|---|---|---|---|---|---|---| +| cpu | 100 | 0 | 14 | 14 | 36.7 | 36.7 | 0.0% | +| cpu | 300 | 0 | 13 | 13 | 12.7 | 12.7 | 0.0% | +| cpu | 1e+03 | 0 | 9 | 9 | 5.71 | 5.71 | 0.0% | +| cpu | 3e+03 | 0 | 8 | 8 | 3.66 | 3.66 | 0.0% | +| cpu | 1e+04 | 0 | 8 | 8 | 3.66 | 3.66 | 0.0% | +| fargate | 100 | 0 | 14 | 14 | 1.59 | 1.59 | 0.0% | +| fargate | 300 | 0 | 13 | 13 | 0.587 | 0.587 | 0.0% | +| fargate | 1e+03 | 0 | 9 | 9 | 0.308 | 0.308 | 0.0% | +| fargate | 3e+03 | 0 | 8 | 8 | 0.232 | 0.232 | 0.0% | +| fargate | 1e+04 | 0 | 8 | 8 | 0.232 | 0.232 | 0.0% | + +## mixed + multi-grouping: 112 RQEs + +Sanity violations: 0. Tightest feasible SLA: ASAP 490 ms, PerQuery 490 ms. AutoSketch latency 1.01e+03 ms; planning time (search + measured benchmark) 481 s. + +| weights | SLA (ms) | method | cost | latency (ms) | CPU (vCPU) | GiB | meets SLA | +|---|---|---|---|---|---|---|---| +| cpu | 100 | ASAP | infeasible (tightest 490 ms) ||||| +| cpu | 100 | ASAP (no roll-ups) | infeasible (tightest 490 ms) ||||| +| cpu | 100 | PerQuery-CostAware | infeasible (tightest 490 ms) ||||| +| cpu | 100 | AutoSketch-Adapted | 3.73e+03 | 1.01e+03 | 3.73e+03 | 5.63e+03 | **no** | +| cpu | 300 | ASAP | infeasible (tightest 490 ms) ||||| +| cpu | 300 | ASAP (no roll-ups) | infeasible (tightest 490 ms) ||||| +| cpu | 300 | PerQuery-CostAware | infeasible (tightest 490 ms) ||||| +| cpu | 300 | AutoSketch-Adapted | 3.73e+03 | 1.01e+03 | 3.73e+03 | 5.63e+03 | **no** | +| cpu | 1e+03 | ASAP | 5.9 | 980 | 5.9 | 31.7 | yes | +| cpu | 1e+03 | ASAP (no roll-ups) | 6.23 | 980 | 6.23 | 33.3 | yes | +| cpu | 1e+03 | PerQuery-CostAware | 14.5 | 980 | 14.5 | 161 | yes | +| cpu | 1e+03 | AutoSketch-Adapted | 3.73e+03 | 1.01e+03 | 3.73e+03 | 5.63e+03 | **no** | +| cpu | 3e+03 | ASAP | 3.82 | 2.68e+03 | 3.82 | 19.9 | yes | +| cpu | 3e+03 | ASAP (no roll-ups) | 4.15 | 2.68e+03 | 4.15 | 21.5 | yes | +| cpu | 3e+03 | PerQuery-CostAware | 11.9 | 2.68e+03 | 11.9 | 145 | yes | +| cpu | 3e+03 | AutoSketch-Adapted | 3.73e+03 | 1.01e+03 | 3.73e+03 | 5.63e+03 | yes | +| cpu | 1e+04 | ASAP | 3.82 | 2.68e+03 | 3.82 | 19.9 | yes | +| cpu | 1e+04 | ASAP (no roll-ups) | 4.15 | 2.68e+03 | 4.15 | 21.5 | yes | +| cpu | 1e+04 | PerQuery-CostAware | 11.6 | 3.33e+03 | 11.6 | 80.7 | yes | +| cpu | 1e+04 | AutoSketch-Adapted | 3.73e+03 | 1.01e+03 | 3.73e+03 | 5.63e+03 | yes | +| fargate | 100 | ASAP | infeasible (tightest 490 ms) ||||| +| fargate | 100 | ASAP (no roll-ups) | infeasible (tightest 490 ms) ||||| +| fargate | 100 | PerQuery-CostAware | infeasible (tightest 490 ms) ||||| +| fargate | 100 | AutoSketch-Adapted | 176 | 1.01e+03 | 3.73e+03 | 5.63e+03 | **no** | +| fargate | 300 | ASAP | infeasible (tightest 490 ms) ||||| +| fargate | 300 | ASAP (no roll-ups) | infeasible (tightest 490 ms) ||||| +| fargate | 300 | PerQuery-CostAware | infeasible (tightest 490 ms) ||||| +| fargate | 300 | AutoSketch-Adapted | 176 | 1.01e+03 | 3.73e+03 | 5.63e+03 | **no** | +| fargate | 1e+03 | ASAP | 0.321 | 896 | 5.91 | 18.3 | yes | +| fargate | 1e+03 | ASAP (no roll-ups) | 0.341 | 959 | 6.25 | 19.8 | yes | +| fargate | 1e+03 | PerQuery-CostAware | 0.923 | 959 | 14.7 | 73.3 | yes | +| fargate | 1e+03 | AutoSketch-Adapted | 176 | 1.01e+03 | 3.73e+03 | 5.63e+03 | **no** | +| fargate | 3e+03 | ASAP | 0.243 | 2.68e+03 | 3.82 | 19.9 | yes | +| fargate | 3e+03 | ASAP (no roll-ups) | 0.264 | 2.68e+03 | 4.16 | 21.4 | yes | +| fargate | 3e+03 | PerQuery-CostAware | 0.817 | 2.68e+03 | 12 | 74.6 | yes | +| fargate | 3e+03 | AutoSketch-Adapted | 176 | 1.01e+03 | 3.73e+03 | 5.63e+03 | yes | +| fargate | 1e+04 | ASAP | 0.243 | 2.68e+03 | 3.82 | 19.9 | yes | +| fargate | 1e+04 | ASAP (no roll-ups) | 0.264 | 2.68e+03 | 4.16 | 21.4 | yes | +| fargate | 1e+04 | PerQuery-CostAware | 0.812 | 3.26e+03 | 11.9 | 74.6 | yes | +| fargate | 1e+04 | AutoSketch-Adapted | 176 | 1.01e+03 | 3.73e+03 | 5.63e+03 | yes | + +Roll-up ablation (ASAP vs. ASAP without roll-ups): + +| weights | SLA (ms) | RQEs rolled up | deployments with | deployments without | cost with | cost without | saving | +|---|---|---|---|---|---|---|---| +| cpu | 1e+03 | 52 | 14 | 35 | 5.9 | 6.23 | 5.3% | +| cpu | 3e+03 | 52 | 13 | 34 | 3.82 | 4.15 | 8.0% | +| cpu | 1e+04 | 52 | 13 | 34 | 3.82 | 4.15 | 8.0% | +| fargate | 1e+03 | 52 | 14 | 35 | 0.321 | 0.341 | 5.9% | +| fargate | 3e+03 | 52 | 13 | 34 | 0.243 | 0.264 | 7.7% | +| fargate | 1e+04 | 52 | 13 | 34 | 0.243 | 0.264 | 7.7% | + +## multi-grouping, r = 8: 124 RQEs + +Sanity violations: 0. Tightest feasible SLA: ASAP 490 ms, PerQuery 490 ms. AutoSketch latency 490 ms; planning time (search + measured benchmark) 269 s. + +| weights | SLA (ms) | method | cost | latency (ms) | CPU (vCPU) | GiB | meets SLA | +|---|---|---|---|---|---|---|---| +| cpu | 100 | ASAP | infeasible (tightest 490 ms) ||||| +| cpu | 100 | ASAP (no roll-ups) | infeasible (tightest 490 ms) ||||| +| cpu | 100 | PerQuery-CostAware | infeasible (tightest 490 ms) ||||| +| cpu | 100 | AutoSketch-Adapted | 12.3 | 490 | 12.3 | 4.52 | **no** | +| cpu | 300 | ASAP | infeasible (tightest 490 ms) ||||| +| cpu | 300 | ASAP (no roll-ups) | infeasible (tightest 490 ms) ||||| +| cpu | 300 | PerQuery-CostAware | infeasible (tightest 490 ms) ||||| +| cpu | 300 | AutoSketch-Adapted | 12.3 | 490 | 12.3 | 4.52 | **no** | +| cpu | 1e+03 | ASAP | 0.242 | 557 | 0.242 | 1.06 | yes | +| cpu | 1e+03 | ASAP (no roll-ups) | 0.573 | 959 | 0.573 | 2.6 | yes | +| cpu | 1e+03 | PerQuery-CostAware | 2.04 | 959 | 2.04 | 4.69 | yes | +| cpu | 1e+03 | AutoSketch-Adapted | 12.3 | 490 | 12.3 | 4.52 | yes | +| cpu | 3e+03 | ASAP | 0.242 | 557 | 0.242 | 1.06 | yes | +| cpu | 3e+03 | ASAP (no roll-ups) | 0.573 | 959 | 0.573 | 2.6 | yes | +| cpu | 3e+03 | PerQuery-CostAware | 2.04 | 959 | 2.04 | 4.69 | yes | +| cpu | 3e+03 | AutoSketch-Adapted | 12.3 | 490 | 12.3 | 4.52 | yes | +| cpu | 1e+04 | ASAP | 0.242 | 557 | 0.242 | 1.06 | yes | +| cpu | 1e+04 | ASAP (no roll-ups) | 0.573 | 959 | 0.573 | 2.6 | yes | +| cpu | 1e+04 | PerQuery-CostAware | 2.04 | 959 | 2.04 | 4.69 | yes | +| cpu | 1e+04 | AutoSketch-Adapted | 12.3 | 490 | 12.3 | 4.52 | yes | +| fargate | 100 | ASAP | infeasible (tightest 490 ms) ||||| +| fargate | 100 | ASAP (no roll-ups) | infeasible (tightest 490 ms) ||||| +| fargate | 100 | PerQuery-CostAware | infeasible (tightest 490 ms) ||||| +| fargate | 100 | AutoSketch-Adapted | 0.517 | 490 | 12.3 | 4.52 | **no** | +| fargate | 300 | ASAP | infeasible (tightest 490 ms) ||||| +| fargate | 300 | ASAP (no roll-ups) | infeasible (tightest 490 ms) ||||| +| fargate | 300 | PerQuery-CostAware | infeasible (tightest 490 ms) ||||| +| fargate | 300 | AutoSketch-Adapted | 0.517 | 490 | 12.3 | 4.52 | **no** | +| fargate | 1e+03 | ASAP | 0.0145 | 557 | 0.245 | 1.03 | yes | +| fargate | 1e+03 | ASAP (no roll-ups) | 0.0347 | 959 | 0.581 | 2.52 | yes | +| fargate | 1e+03 | PerQuery-CostAware | 0.104 | 959 | 2.05 | 4.62 | yes | +| fargate | 1e+03 | AutoSketch-Adapted | 0.517 | 490 | 12.3 | 4.52 | yes | +| fargate | 3e+03 | ASAP | 0.0145 | 557 | 0.245 | 1.03 | yes | +| fargate | 3e+03 | ASAP (no roll-ups) | 0.0347 | 959 | 0.581 | 2.52 | yes | +| fargate | 3e+03 | PerQuery-CostAware | 0.104 | 959 | 2.05 | 4.62 | yes | +| fargate | 3e+03 | AutoSketch-Adapted | 0.517 | 490 | 12.3 | 4.52 | yes | +| fargate | 1e+04 | ASAP | 0.0145 | 557 | 0.245 | 1.03 | yes | +| fargate | 1e+04 | ASAP (no roll-ups) | 0.0347 | 959 | 0.581 | 2.52 | yes | +| fargate | 1e+04 | PerQuery-CostAware | 0.104 | 959 | 2.05 | 4.62 | yes | +| fargate | 1e+04 | AutoSketch-Adapted | 0.517 | 490 | 12.3 | 4.52 | yes | + +Roll-up ablation (ASAP vs. ASAP without roll-ups): + +| weights | SLA (ms) | RQEs rolled up | deployments with | deployments without | cost with | cost without | saving | +|---|---|---|---|---|---|---|---| +| cpu | 1e+03 | 104 | 5 | 26 | 0.242 | 0.573 | 57.8% | +| cpu | 3e+03 | 104 | 5 | 26 | 0.242 | 0.573 | 57.8% | +| cpu | 1e+04 | 104 | 5 | 26 | 0.242 | 0.573 | 57.8% | +| fargate | 1e+03 | 104 | 5 | 26 | 0.0145 | 0.0347 | 58.2% | +| fargate | 3e+03 | 104 | 5 | 26 | 0.0145 | 0.0347 | 58.2% | +| fargate | 1e+04 | 104 | 5 | 26 | 0.0145 | 0.0347 | 58.2% | + +## mixed + multi-grouping, r = 8: 216 RQEs + +Sanity violations: 0. Tightest feasible SLA: ASAP 490 ms, PerQuery 490 ms. AutoSketch latency 1.01e+03 ms; planning time (search + measured benchmark) 481 s. + +| weights | SLA (ms) | method | cost | latency (ms) | CPU (vCPU) | GiB | meets SLA | +|---|---|---|---|---|---|---|---| +| cpu | 100 | ASAP | infeasible (tightest 490 ms) ||||| +| cpu | 100 | ASAP (no roll-ups) | infeasible (tightest 490 ms) ||||| +| cpu | 100 | PerQuery-CostAware | infeasible (tightest 490 ms) ||||| +| cpu | 100 | AutoSketch-Adapted | 4.47e+03 | 1.01e+03 | 4.47e+03 | 5.86e+03 | **no** | +| cpu | 300 | ASAP | infeasible (tightest 490 ms) ||||| +| cpu | 300 | ASAP (no roll-ups) | infeasible (tightest 490 ms) ||||| +| cpu | 300 | PerQuery-CostAware | infeasible (tightest 490 ms) ||||| +| cpu | 300 | AutoSketch-Adapted | 4.47e+03 | 1.01e+03 | 4.47e+03 | 5.86e+03 | **no** | +| cpu | 1e+03 | ASAP | 5.95 | 980 | 5.95 | 31.7 | yes | +| cpu | 1e+03 | ASAP (no roll-ups) | 6.28 | 980 | 6.28 | 33.3 | yes | +| cpu | 1e+03 | PerQuery-CostAware | 23.7 | 980 | 23.7 | 192 | yes | +| cpu | 1e+03 | AutoSketch-Adapted | 4.47e+03 | 1.01e+03 | 4.47e+03 | 5.86e+03 | **no** | +| cpu | 3e+03 | ASAP | 3.9 | 2.68e+03 | 3.9 | 19.9 | yes | +| cpu | 3e+03 | ASAP (no roll-ups) | 4.23 | 2.68e+03 | 4.23 | 21.5 | yes | +| cpu | 3e+03 | PerQuery-CostAware | 20.9 | 2.68e+03 | 20.9 | 177 | yes | +| cpu | 3e+03 | AutoSketch-Adapted | 4.47e+03 | 1.01e+03 | 4.47e+03 | 5.86e+03 | yes | +| cpu | 1e+04 | ASAP | 3.9 | 2.68e+03 | 3.9 | 19.9 | yes | +| cpu | 1e+04 | ASAP (no roll-ups) | 4.23 | 2.68e+03 | 4.23 | 21.5 | yes | +| cpu | 1e+04 | PerQuery-CostAware | 20.5 | 3.33e+03 | 20.5 | 112 | yes | +| cpu | 1e+04 | AutoSketch-Adapted | 4.47e+03 | 1.01e+03 | 4.47e+03 | 5.86e+03 | yes | +| fargate | 100 | ASAP | infeasible (tightest 490 ms) ||||| +| fargate | 100 | ASAP (no roll-ups) | infeasible (tightest 490 ms) ||||| +| fargate | 100 | PerQuery-CostAware | infeasible (tightest 490 ms) ||||| +| fargate | 100 | AutoSketch-Adapted | 207 | 1.01e+03 | 4.47e+03 | 5.86e+03 | **no** | +| fargate | 300 | ASAP | infeasible (tightest 490 ms) ||||| +| fargate | 300 | ASAP (no roll-ups) | infeasible (tightest 490 ms) ||||| +| fargate | 300 | PerQuery-CostAware | infeasible (tightest 490 ms) ||||| +| fargate | 300 | AutoSketch-Adapted | 207 | 1.01e+03 | 4.47e+03 | 5.86e+03 | **no** | +| fargate | 1e+03 | ASAP | 0.323 | 896 | 5.96 | 18.3 | yes | +| fargate | 1e+03 | ASAP (no roll-ups) | 0.343 | 959 | 6.3 | 19.8 | yes | +| fargate | 1e+03 | PerQuery-CostAware | 1.36 | 959 | 24 | 87.6 | yes | +| fargate | 1e+03 | AutoSketch-Adapted | 207 | 1.01e+03 | 4.47e+03 | 5.86e+03 | **no** | +| fargate | 3e+03 | ASAP | 0.247 | 2.68e+03 | 3.91 | 19.9 | yes | +| fargate | 3e+03 | ASAP (no roll-ups) | 0.267 | 2.68e+03 | 4.24 | 21.4 | yes | +| fargate | 3e+03 | PerQuery-CostAware | 1.25 | 2.68e+03 | 21 | 88.8 | yes | +| fargate | 3e+03 | AutoSketch-Adapted | 207 | 1.01e+03 | 4.47e+03 | 5.86e+03 | yes | +| fargate | 1e+04 | ASAP | 0.247 | 2.68e+03 | 3.91 | 19.9 | yes | +| fargate | 1e+04 | ASAP (no roll-ups) | 0.267 | 2.68e+03 | 4.24 | 21.4 | yes | +| fargate | 1e+04 | PerQuery-CostAware | 1.24 | 3.26e+03 | 20.9 | 88.8 | yes | +| fargate | 1e+04 | AutoSketch-Adapted | 207 | 1.01e+03 | 4.47e+03 | 5.86e+03 | yes | + +Roll-up ablation (ASAP vs. ASAP without roll-ups): + +| weights | SLA (ms) | RQEs rolled up | deployments with | deployments without | cost with | cost without | saving | +|---|---|---|---|---|---|---|---| +| cpu | 1e+03 | 104 | 14 | 35 | 5.95 | 6.28 | 5.3% | +| cpu | 3e+03 | 104 | 13 | 34 | 3.9 | 4.23 | 7.8% | +| cpu | 1e+04 | 104 | 13 | 34 | 3.9 | 4.23 | 7.8% | +| fargate | 1e+03 | 104 | 14 | 35 | 0.323 | 0.343 | 5.9% | +| fargate | 3e+03 | 104 | 13 | 34 | 0.247 | 0.267 | 7.6% | +| fargate | 1e+04 | 104 | 13 | 34 | 0.247 | 0.267 | 7.6% | + +## mixed, m = 8: 400 RQEs + +Sanity violations: 0. Tightest feasible SLA: ASAP 87.7 ms, PerQuery 87.7 ms. AutoSketch latency 1.01e+03 ms; planning time (search + measured benchmark) 1.7e+03 s. + +| weights | SLA (ms) | method | cost | latency (ms) | CPU (vCPU) | GiB | meets SLA | +|---|---|---|---|---|---|---|---| +| cpu | 100 | ASAP | 294 | 99.8 | 294 | 278 | yes | +| cpu | 100 | ASAP (no roll-ups) | 294 | 99.8 | 294 | 278 | yes | +| cpu | 100 | PerQuery-CostAware | 516 | 97.4 | 516 | 612 | yes | +| cpu | 100 | AutoSketch-Adapted | 2.97e+04 | 1.01e+03 | 2.97e+04 | 4.5e+04 | **no** | +| cpu | 300 | ASAP | 101 | 291 | 101 | 132 | yes | +| cpu | 300 | ASAP (no roll-ups) | 101 | 291 | 101 | 132 | yes | +| cpu | 300 | PerQuery-CostAware | 198 | 291 | 198 | 551 | yes | +| cpu | 300 | AutoSketch-Adapted | 2.97e+04 | 1.01e+03 | 2.97e+04 | 4.5e+04 | **no** | +| cpu | 1e+03 | ASAP | 45.4 | 980 | 45.4 | 245 | yes | +| cpu | 1e+03 | ASAP (no roll-ups) | 45.4 | 980 | 45.4 | 245 | yes | +| cpu | 1e+03 | PerQuery-CostAware | 108 | 980 | 108 | 1.26e+03 | yes | +| cpu | 1e+03 | AutoSketch-Adapted | 2.97e+04 | 1.01e+03 | 2.97e+04 | 4.5e+04 | **no** | +| cpu | 3e+03 | ASAP | 28.8 | 2.68e+03 | 28.8 | 151 | yes | +| cpu | 3e+03 | ASAP (no roll-ups) | 28.8 | 2.68e+03 | 28.8 | 151 | yes | +| cpu | 3e+03 | PerQuery-CostAware | 86.7 | 2.68e+03 | 86.7 | 1.13e+03 | yes | +| cpu | 3e+03 | AutoSketch-Adapted | 2.97e+04 | 1.01e+03 | 2.97e+04 | 4.5e+04 | yes | +| cpu | 1e+04 | ASAP | 28.8 | 2.68e+03 | 28.8 | 151 | yes | +| cpu | 1e+04 | ASAP (no roll-ups) | 28.8 | 2.68e+03 | 28.8 | 151 | yes | +| cpu | 1e+04 | PerQuery-CostAware | 84.1 | 3.33e+03 | 84.1 | 616 | yes | +| cpu | 1e+04 | AutoSketch-Adapted | 2.97e+04 | 1.01e+03 | 2.97e+04 | 4.5e+04 | yes | +| fargate | 100 | ASAP | 12.7 | 96.9 | 297 | 151 | yes | +| fargate | 100 | ASAP (no roll-ups) | 12.7 | 96.9 | 297 | 151 | yes | +| fargate | 100 | PerQuery-CostAware | 23.6 | 97.4 | 516 | 606 | yes | +| fargate | 100 | AutoSketch-Adapted | 1.4e+03 | 1.01e+03 | 2.97e+04 | 4.5e+04 | **no** | +| fargate | 300 | ASAP | 4.69 | 291 | 101 | 132 | yes | +| fargate | 300 | ASAP (no roll-ups) | 4.69 | 291 | 101 | 132 | yes | +| fargate | 300 | PerQuery-CostAware | 10.4 | 291 | 198 | 545 | yes | +| fargate | 300 | AutoSketch-Adapted | 1.4e+03 | 1.01e+03 | 2.97e+04 | 4.5e+04 | **no** | +| fargate | 1e+03 | ASAP | 2.46 | 896 | 45.5 | 138 | yes | +| fargate | 1e+03 | ASAP (no roll-ups) | 2.46 | 896 | 45.5 | 138 | yes | +| fargate | 1e+03 | PerQuery-CostAware | 6.91 | 896 | 109 | 558 | yes | +| fargate | 1e+03 | AutoSketch-Adapted | 1.4e+03 | 1.01e+03 | 2.97e+04 | 4.5e+04 | **no** | +| fargate | 3e+03 | ASAP | 1.84 | 2.68e+03 | 28.8 | 151 | yes | +| fargate | 3e+03 | ASAP (no roll-ups) | 1.84 | 2.68e+03 | 28.8 | 151 | yes | +| fargate | 3e+03 | PerQuery-CostAware | 6.06 | 2.68e+03 | 87.2 | 568 | yes | +| fargate | 3e+03 | AutoSketch-Adapted | 1.4e+03 | 1.01e+03 | 2.97e+04 | 4.5e+04 | yes | +| fargate | 1e+04 | ASAP | 1.84 | 2.68e+03 | 28.8 | 151 | yes | +| fargate | 1e+04 | ASAP (no roll-ups) | 1.84 | 2.68e+03 | 28.8 | 151 | yes | +| fargate | 1e+04 | PerQuery-CostAware | 6.02 | 3.26e+03 | 86.2 | 568 | yes | +| fargate | 1e+04 | AutoSketch-Adapted | 1.4e+03 | 1.01e+03 | 2.97e+04 | 4.5e+04 | yes | + +Roll-up ablation (ASAP vs. ASAP without roll-ups): + +| weights | SLA (ms) | RQEs rolled up | deployments with | deployments without | cost with | cost without | saving | +|---|---|---|---|---|---|---|---| +| cpu | 100 | 0 | 112 | 112 | 294 | 294 | 0.0% | +| cpu | 300 | 0 | 104 | 104 | 101 | 101 | 0.0% | +| cpu | 1e+03 | 0 | 72 | 72 | 45.4 | 45.4 | 0.0% | +| cpu | 3e+03 | 0 | 64 | 64 | 28.8 | 28.8 | 0.0% | +| cpu | 1e+04 | 0 | 64 | 64 | 28.8 | 28.8 | 0.0% | +| fargate | 100 | 0 | 112 | 112 | 12.7 | 12.7 | 0.0% | +| fargate | 300 | 0 | 104 | 104 | 4.69 | 4.69 | 0.0% | +| fargate | 1e+03 | 0 | 72 | 72 | 2.46 | 2.46 | 0.0% | +| fargate | 3e+03 | 0 | 64 | 64 | 1.84 | 1.84 | 0.0% | +| fargate | 1e+04 | 0 | 64 | 64 | 1.84 | 1.84 | 0.0% | + +## multi-grouping, m = 8: 496 RQEs + +Sanity violations: 0. Tightest feasible SLA: ASAP 490 ms, PerQuery 490 ms. AutoSketch latency 490 ms; planning time (search + measured benchmark) 2.15e+03 s. + +| weights | SLA (ms) | method | cost | latency (ms) | CPU (vCPU) | GiB | meets SLA | +|---|---|---|---|---|---|---|---| +| cpu | 100 | ASAP | infeasible (tightest 490 ms) ||||| +| cpu | 100 | ASAP (no roll-ups) | infeasible (tightest 490 ms) ||||| +| cpu | 100 | PerQuery-CostAware | infeasible (tightest 490 ms) ||||| +| cpu | 100 | AutoSketch-Adapted | 81.7 | 490 | 81.7 | 28.4 | **no** | +| cpu | 300 | ASAP | infeasible (tightest 490 ms) ||||| +| cpu | 300 | ASAP (no roll-ups) | infeasible (tightest 490 ms) ||||| +| cpu | 300 | PerQuery-CostAware | infeasible (tightest 490 ms) ||||| +| cpu | 300 | AutoSketch-Adapted | 81.7 | 490 | 81.7 | 28.4 | **no** | +| cpu | 1e+03 | ASAP | 1.77 | 557 | 1.77 | 8.52 | yes | +| cpu | 1e+03 | ASAP (no roll-ups) | 4.41 | 959 | 4.41 | 20.8 | yes | +| cpu | 1e+03 | PerQuery-CostAware | 8.55 | 959 | 8.55 | 29.5 | yes | +| cpu | 1e+03 | AutoSketch-Adapted | 81.7 | 490 | 81.7 | 28.4 | yes | +| cpu | 3e+03 | ASAP | 1.77 | 557 | 1.77 | 8.52 | yes | +| cpu | 3e+03 | ASAP (no roll-ups) | 4.41 | 959 | 4.41 | 20.8 | yes | +| cpu | 3e+03 | PerQuery-CostAware | 8.55 | 959 | 8.55 | 29.5 | yes | +| cpu | 3e+03 | AutoSketch-Adapted | 81.7 | 490 | 81.7 | 28.4 | yes | +| cpu | 1e+04 | ASAP | 1.77 | 557 | 1.77 | 8.52 | yes | +| cpu | 1e+04 | ASAP (no roll-ups) | 4.41 | 959 | 4.41 | 20.8 | yes | +| cpu | 1e+04 | PerQuery-CostAware | 8.55 | 959 | 8.55 | 29.5 | yes | +| cpu | 1e+04 | AutoSketch-Adapted | 81.7 | 490 | 81.7 | 28.4 | yes | +| fargate | 100 | ASAP | infeasible (tightest 490 ms) ||||| +| fargate | 100 | ASAP (no roll-ups) | infeasible (tightest 490 ms) ||||| +| fargate | 100 | PerQuery-CostAware | infeasible (tightest 490 ms) ||||| +| fargate | 100 | AutoSketch-Adapted | 3.44 | 490 | 81.7 | 28.4 | **no** | +| fargate | 300 | ASAP | infeasible (tightest 490 ms) ||||| +| fargate | 300 | ASAP (no roll-ups) | infeasible (tightest 490 ms) ||||| +| fargate | 300 | PerQuery-CostAware | infeasible (tightest 490 ms) ||||| +| fargate | 300 | AutoSketch-Adapted | 3.44 | 490 | 81.7 | 28.4 | **no** | +| fargate | 1e+03 | ASAP | 0.109 | 557 | 1.79 | 8.22 | yes | +| fargate | 1e+03 | ASAP (no roll-ups) | 0.271 | 959 | 4.47 | 20.2 | yes | +| fargate | 1e+03 | PerQuery-CostAware | 0.477 | 959 | 8.61 | 28.9 | yes | +| fargate | 1e+03 | AutoSketch-Adapted | 3.44 | 490 | 81.7 | 28.4 | yes | +| fargate | 3e+03 | ASAP | 0.109 | 557 | 1.79 | 8.22 | yes | +| fargate | 3e+03 | ASAP (no roll-ups) | 0.271 | 959 | 4.47 | 20.2 | yes | +| fargate | 3e+03 | PerQuery-CostAware | 0.477 | 959 | 8.61 | 28.9 | yes | +| fargate | 3e+03 | AutoSketch-Adapted | 3.44 | 490 | 81.7 | 28.4 | yes | +| fargate | 1e+04 | ASAP | 0.109 | 557 | 1.79 | 8.22 | yes | +| fargate | 1e+04 | ASAP (no roll-ups) | 0.271 | 959 | 4.47 | 20.2 | yes | +| fargate | 1e+04 | PerQuery-CostAware | 0.477 | 959 | 8.61 | 28.9 | yes | +| fargate | 1e+04 | AutoSketch-Adapted | 3.44 | 490 | 81.7 | 28.4 | yes | + +Roll-up ablation (ASAP vs. ASAP without roll-ups): + +| weights | SLA (ms) | RQEs rolled up | deployments with | deployments without | cost with | cost without | saving | +|---|---|---|---|---|---|---|---| +| cpu | 1e+03 | 416 | 40 | 208 | 1.77 | 4.41 | 59.9% | +| cpu | 3e+03 | 416 | 40 | 208 | 1.77 | 4.41 | 59.9% | +| cpu | 1e+04 | 416 | 40 | 208 | 1.77 | 4.41 | 59.9% | +| fargate | 1e+03 | 416 | 40 | 208 | 0.109 | 0.271 | 59.7% | +| fargate | 3e+03 | 416 | 40 | 208 | 0.109 | 0.271 | 59.7% | +| fargate | 1e+04 | 416 | 40 | 208 | 0.109 | 0.271 | 59.7% | + +## mixed, m = 16: 800 RQEs + +Sanity violations: 0. Tightest feasible SLA: ASAP 87.7 ms, PerQuery 87.7 ms. AutoSketch latency 1.01e+03 ms; planning time (search + measured benchmark) 3.39e+03 s. + +| weights | SLA (ms) | method | cost | latency (ms) | CPU (vCPU) | GiB | meets SLA | +|---|---|---|---|---|---|---|---| +| cpu | 100 | ASAP | 588 | 99.8 | 588 | 556 | yes | +| cpu | 100 | ASAP (no roll-ups) | 588 | 99.8 | 588 | 556 | yes | +| cpu | 100 | PerQuery-CostAware | 1.03e+03 | 97.4 | 1.03e+03 | 1.22e+03 | yes | +| cpu | 100 | AutoSketch-Adapted | 5.95e+04 | 1.01e+03 | 5.95e+04 | 9e+04 | **no** | +| cpu | 300 | ASAP | 203 | 291 | 203 | 264 | yes | +| cpu | 300 | ASAP (no roll-ups) | 203 | 291 | 203 | 264 | yes | +| cpu | 300 | PerQuery-CostAware | 395 | 291 | 395 | 1.1e+03 | yes | +| cpu | 300 | AutoSketch-Adapted | 5.95e+04 | 1.01e+03 | 5.95e+04 | 9e+04 | **no** | +| cpu | 1e+03 | ASAP | 90.8 | 980 | 90.8 | 491 | yes | +| cpu | 1e+03 | ASAP (no roll-ups) | 90.8 | 980 | 90.8 | 491 | yes | +| cpu | 1e+03 | PerQuery-CostAware | 215 | 980 | 215 | 2.52e+03 | yes | +| cpu | 1e+03 | AutoSketch-Adapted | 5.95e+04 | 1.01e+03 | 5.95e+04 | 9e+04 | **no** | +| cpu | 3e+03 | ASAP | 57.6 | 2.68e+03 | 57.6 | 302 | yes | +| cpu | 3e+03 | ASAP (no roll-ups) | 57.6 | 2.68e+03 | 57.6 | 302 | yes | +| cpu | 3e+03 | PerQuery-CostAware | 173 | 2.68e+03 | 173 | 2.27e+03 | yes | +| cpu | 3e+03 | AutoSketch-Adapted | 5.95e+04 | 1.01e+03 | 5.95e+04 | 9e+04 | yes | +| cpu | 1e+04 | ASAP | 57.6 | 2.68e+03 | 57.6 | 302 | yes | +| cpu | 1e+04 | ASAP (no roll-ups) | 57.6 | 2.68e+03 | 57.6 | 302 | yes | +| cpu | 1e+04 | PerQuery-CostAware | 168 | 3.33e+03 | 168 | 1.23e+03 | yes | +| cpu | 1e+04 | AutoSketch-Adapted | 5.95e+04 | 1.01e+03 | 5.95e+04 | 9e+04 | yes | +| fargate | 100 | ASAP | 25.4 | 96.9 | 593 | 301 | yes | +| fargate | 100 | ASAP (no roll-ups) | 25.4 | 96.9 | 593 | 301 | yes | +| fargate | 100 | PerQuery-CostAware | 47.2 | 97.4 | 1.03e+03 | 1.21e+03 | yes | +| fargate | 100 | AutoSketch-Adapted | 2.81e+03 | 1.01e+03 | 5.95e+04 | 9e+04 | **no** | +| fargate | 300 | ASAP | 9.38 | 291 | 203 | 264 | yes | +| fargate | 300 | ASAP (no roll-ups) | 9.38 | 291 | 203 | 264 | yes | +| fargate | 300 | PerQuery-CostAware | 20.9 | 291 | 395 | 1.09e+03 | yes | +| fargate | 300 | AutoSketch-Adapted | 2.81e+03 | 1.01e+03 | 5.95e+04 | 9e+04 | **no** | +| fargate | 1e+03 | ASAP | 4.91 | 896 | 91 | 276 | yes | +| fargate | 1e+03 | ASAP (no roll-ups) | 4.91 | 896 | 91 | 276 | yes | +| fargate | 1e+03 | PerQuery-CostAware | 13.8 | 896 | 219 | 1.12e+03 | yes | +| fargate | 1e+03 | AutoSketch-Adapted | 2.81e+03 | 1.01e+03 | 5.95e+04 | 9e+04 | **no** | +| fargate | 3e+03 | ASAP | 3.68 | 2.68e+03 | 57.6 | 302 | yes | +| fargate | 3e+03 | ASAP (no roll-ups) | 3.68 | 2.68e+03 | 57.6 | 302 | yes | +| fargate | 3e+03 | PerQuery-CostAware | 12.1 | 2.68e+03 | 174 | 1.14e+03 | yes | +| fargate | 3e+03 | AutoSketch-Adapted | 2.81e+03 | 1.01e+03 | 5.95e+04 | 9e+04 | yes | +| fargate | 1e+04 | ASAP | 3.68 | 2.68e+03 | 57.6 | 302 | yes | +| fargate | 1e+04 | ASAP (no roll-ups) | 3.68 | 2.68e+03 | 57.6 | 302 | yes | +| fargate | 1e+04 | PerQuery-CostAware | 12 | 3.26e+03 | 172 | 1.14e+03 | yes | +| fargate | 1e+04 | AutoSketch-Adapted | 2.81e+03 | 1.01e+03 | 5.95e+04 | 9e+04 | yes | + +Roll-up ablation (ASAP vs. ASAP without roll-ups): + +| weights | SLA (ms) | RQEs rolled up | deployments with | deployments without | cost with | cost without | saving | +|---|---|---|---|---|---|---|---| +| cpu | 100 | 0 | 224 | 224 | 588 | 588 | 0.0% | +| cpu | 300 | 0 | 208 | 208 | 203 | 203 | 0.0% | +| cpu | 1e+03 | 0 | 144 | 144 | 90.8 | 90.8 | 0.0% | +| cpu | 3e+03 | 0 | 128 | 128 | 57.6 | 57.6 | 0.0% | +| cpu | 1e+04 | 0 | 128 | 128 | 57.6 | 57.6 | 0.0% | +| fargate | 100 | 0 | 224 | 224 | 25.4 | 25.4 | 0.0% | +| fargate | 300 | 0 | 208 | 208 | 9.38 | 9.38 | 0.0% | +| fargate | 1e+03 | 0 | 144 | 144 | 4.91 | 4.91 | 0.0% | +| fargate | 3e+03 | 0 | 128 | 128 | 3.68 | 3.68 | 0.0% | +| fargate | 1e+04 | 0 | 128 | 128 | 3.68 | 3.68 | 0.0% | + +## mixed + multi-grouping, m = 8: 896 RQEs + +Sanity violations: 0. Tightest feasible SLA: ASAP 490 ms, PerQuery 490 ms. AutoSketch latency 1.01e+03 ms; planning time (search + measured benchmark) 3.85e+03 s. + +| weights | SLA (ms) | method | cost | latency (ms) | CPU (vCPU) | GiB | meets SLA | +|---|---|---|---|---|---|---|---| +| cpu | 100 | ASAP | infeasible (tightest 490 ms) ||||| +| cpu | 100 | ASAP (no roll-ups) | infeasible (tightest 490 ms) ||||| +| cpu | 100 | PerQuery-CostAware | infeasible (tightest 490 ms) ||||| +| cpu | 100 | AutoSketch-Adapted | 2.98e+04 | 1.01e+03 | 2.98e+04 | 4.5e+04 | **no** | +| cpu | 300 | ASAP | infeasible (tightest 490 ms) ||||| +| cpu | 300 | ASAP (no roll-ups) | infeasible (tightest 490 ms) ||||| +| cpu | 300 | PerQuery-CostAware | infeasible (tightest 490 ms) ||||| +| cpu | 300 | AutoSketch-Adapted | 2.98e+04 | 1.01e+03 | 2.98e+04 | 4.5e+04 | **no** | +| cpu | 1e+03 | ASAP | 47.2 | 980 | 47.2 | 254 | yes | +| cpu | 1e+03 | ASAP (no roll-ups) | 49.8 | 980 | 49.8 | 266 | yes | +| cpu | 1e+03 | PerQuery-CostAware | 116 | 980 | 116 | 1.29e+03 | yes | +| cpu | 1e+03 | AutoSketch-Adapted | 2.98e+04 | 1.01e+03 | 2.98e+04 | 4.5e+04 | **no** | +| cpu | 3e+03 | ASAP | 30.6 | 2.68e+03 | 30.6 | 159 | yes | +| cpu | 3e+03 | ASAP (no roll-ups) | 33.2 | 2.68e+03 | 33.2 | 172 | yes | +| cpu | 3e+03 | PerQuery-CostAware | 95.2 | 2.68e+03 | 95.2 | 1.16e+03 | yes | +| cpu | 3e+03 | AutoSketch-Adapted | 2.98e+04 | 1.01e+03 | 2.98e+04 | 4.5e+04 | yes | +| cpu | 1e+04 | ASAP | 30.6 | 2.68e+03 | 30.6 | 159 | yes | +| cpu | 1e+04 | ASAP (no roll-ups) | 33.2 | 2.68e+03 | 33.2 | 172 | yes | +| cpu | 1e+04 | PerQuery-CostAware | 92.7 | 3.33e+03 | 92.7 | 646 | yes | +| cpu | 1e+04 | AutoSketch-Adapted | 2.98e+04 | 1.01e+03 | 2.98e+04 | 4.5e+04 | yes | +| fargate | 100 | ASAP | infeasible (tightest 490 ms) ||||| +| fargate | 100 | ASAP (no roll-ups) | infeasible (tightest 490 ms) ||||| +| fargate | 100 | PerQuery-CostAware | infeasible (tightest 490 ms) ||||| +| fargate | 100 | AutoSketch-Adapted | 1.41e+03 | 1.01e+03 | 2.98e+04 | 4.5e+04 | **no** | +| fargate | 300 | ASAP | infeasible (tightest 490 ms) ||||| +| fargate | 300 | ASAP (no roll-ups) | infeasible (tightest 490 ms) ||||| +| fargate | 300 | PerQuery-CostAware | infeasible (tightest 490 ms) ||||| +| fargate | 300 | AutoSketch-Adapted | 1.41e+03 | 1.01e+03 | 2.98e+04 | 4.5e+04 | **no** | +| fargate | 1e+03 | ASAP | 2.57 | 896 | 47.3 | 146 | yes | +| fargate | 1e+03 | ASAP (no roll-ups) | 2.73 | 959 | 50 | 158 | yes | +| fargate | 1e+03 | PerQuery-CostAware | 7.39 | 959 | 118 | 586 | yes | +| fargate | 1e+03 | AutoSketch-Adapted | 1.41e+03 | 1.01e+03 | 2.98e+04 | 4.5e+04 | **no** | +| fargate | 3e+03 | ASAP | 1.95 | 2.68e+03 | 30.6 | 159 | yes | +| fargate | 3e+03 | ASAP (no roll-ups) | 2.11 | 2.68e+03 | 33.3 | 171 | yes | +| fargate | 3e+03 | PerQuery-CostAware | 6.53 | 2.68e+03 | 95.8 | 596 | yes | +| fargate | 3e+03 | AutoSketch-Adapted | 1.41e+03 | 1.01e+03 | 2.98e+04 | 4.5e+04 | yes | +| fargate | 1e+04 | ASAP | 1.95 | 2.68e+03 | 30.6 | 159 | yes | +| fargate | 1e+04 | ASAP (no roll-ups) | 2.11 | 2.68e+03 | 33.3 | 171 | yes | +| fargate | 1e+04 | PerQuery-CostAware | 6.49 | 3.26e+03 | 94.8 | 596 | yes | +| fargate | 1e+04 | AutoSketch-Adapted | 1.41e+03 | 1.01e+03 | 2.98e+04 | 4.5e+04 | yes | + +Roll-up ablation (ASAP vs. ASAP without roll-ups): + +| weights | SLA (ms) | RQEs rolled up | deployments with | deployments without | cost with | cost without | saving | +|---|---|---|---|---|---|---|---| +| cpu | 1e+03 | 416 | 112 | 280 | 47.2 | 49.8 | 5.3% | +| cpu | 3e+03 | 416 | 104 | 272 | 30.6 | 33.2 | 8.0% | +| cpu | 1e+04 | 416 | 104 | 272 | 30.6 | 33.2 | 8.0% | +| fargate | 1e+03 | 416 | 112 | 280 | 2.57 | 2.73 | 5.9% | +| fargate | 3e+03 | 416 | 104 | 272 | 1.95 | 2.11 | 7.7% | +| fargate | 1e+04 | 416 | 104 | 272 | 1.95 | 2.11 | 7.7% | + +## multi-grouping, m = 16: 992 RQEs + +Sanity violations: 0. Tightest feasible SLA: ASAP 490 ms, PerQuery 490 ms. AutoSketch latency 490 ms; planning time (search + measured benchmark) 4.31e+03 s. + +| weights | SLA (ms) | method | cost | latency (ms) | CPU (vCPU) | GiB | meets SLA | +|---|---|---|---|---|---|---|---| +| cpu | 100 | ASAP | infeasible (tightest 490 ms) ||||| +| cpu | 100 | ASAP (no roll-ups) | infeasible (tightest 490 ms) ||||| +| cpu | 100 | PerQuery-CostAware | infeasible (tightest 490 ms) ||||| +| cpu | 100 | AutoSketch-Adapted | 163 | 490 | 163 | 56.8 | **no** | +| cpu | 300 | ASAP | infeasible (tightest 490 ms) ||||| +| cpu | 300 | ASAP (no roll-ups) | infeasible (tightest 490 ms) ||||| +| cpu | 300 | PerQuery-CostAware | infeasible (tightest 490 ms) ||||| +| cpu | 300 | AutoSketch-Adapted | 163 | 490 | 163 | 56.8 | **no** | +| cpu | 1e+03 | ASAP | 3.53 | 557 | 3.53 | 17 | yes | +| cpu | 1e+03 | ASAP (no roll-ups) | 8.81 | 959 | 8.81 | 41.5 | yes | +| cpu | 1e+03 | PerQuery-CostAware | 17.1 | 959 | 17.1 | 59 | yes | +| cpu | 1e+03 | AutoSketch-Adapted | 163 | 490 | 163 | 56.8 | yes | +| cpu | 3e+03 | ASAP | 3.53 | 557 | 3.53 | 17 | yes | +| cpu | 3e+03 | ASAP (no roll-ups) | 8.81 | 959 | 8.81 | 41.5 | yes | +| cpu | 3e+03 | PerQuery-CostAware | 17.1 | 959 | 17.1 | 59 | yes | +| cpu | 3e+03 | AutoSketch-Adapted | 163 | 490 | 163 | 56.8 | yes | +| cpu | 1e+04 | ASAP | 3.53 | 557 | 3.53 | 17 | yes | +| cpu | 1e+04 | ASAP (no roll-ups) | 8.81 | 959 | 8.81 | 41.5 | yes | +| cpu | 1e+04 | PerQuery-CostAware | 17.1 | 959 | 17.1 | 59 | yes | +| cpu | 1e+04 | AutoSketch-Adapted | 163 | 490 | 163 | 56.8 | yes | +| fargate | 100 | ASAP | infeasible (tightest 490 ms) ||||| +| fargate | 100 | ASAP (no roll-ups) | infeasible (tightest 490 ms) ||||| +| fargate | 100 | PerQuery-CostAware | infeasible (tightest 490 ms) ||||| +| fargate | 100 | AutoSketch-Adapted | 6.87 | 490 | 163 | 56.8 | **no** | +| fargate | 300 | ASAP | infeasible (tightest 490 ms) ||||| +| fargate | 300 | ASAP (no roll-ups) | infeasible (tightest 490 ms) ||||| +| fargate | 300 | PerQuery-CostAware | infeasible (tightest 490 ms) ||||| +| fargate | 300 | AutoSketch-Adapted | 6.87 | 490 | 163 | 56.8 | **no** | +| fargate | 1e+03 | ASAP | 0.218 | 557 | 3.59 | 16.4 | yes | +| fargate | 1e+03 | ASAP (no roll-ups) | 0.542 | 959 | 8.94 | 40.4 | yes | +| fargate | 1e+03 | PerQuery-CostAware | 0.955 | 959 | 17.2 | 57.8 | yes | +| fargate | 1e+03 | AutoSketch-Adapted | 6.87 | 490 | 163 | 56.8 | yes | +| fargate | 3e+03 | ASAP | 0.218 | 557 | 3.59 | 16.4 | yes | +| fargate | 3e+03 | ASAP (no roll-ups) | 0.542 | 959 | 8.94 | 40.4 | yes | +| fargate | 3e+03 | PerQuery-CostAware | 0.955 | 959 | 17.2 | 57.8 | yes | +| fargate | 3e+03 | AutoSketch-Adapted | 6.87 | 490 | 163 | 56.8 | yes | +| fargate | 1e+04 | ASAP | 0.218 | 557 | 3.59 | 16.4 | yes | +| fargate | 1e+04 | ASAP (no roll-ups) | 0.542 | 959 | 8.94 | 40.4 | yes | +| fargate | 1e+04 | PerQuery-CostAware | 0.955 | 959 | 17.2 | 57.8 | yes | +| fargate | 1e+04 | AutoSketch-Adapted | 6.87 | 490 | 163 | 56.8 | yes | + +Roll-up ablation (ASAP vs. ASAP without roll-ups): + +| weights | SLA (ms) | RQEs rolled up | deployments with | deployments without | cost with | cost without | saving | +|---|---|---|---|---|---|---|---| +| cpu | 1e+03 | 832 | 80 | 416 | 3.53 | 8.81 | 59.9% | +| cpu | 3e+03 | 832 | 80 | 416 | 3.53 | 8.81 | 59.9% | +| cpu | 1e+04 | 832 | 80 | 416 | 3.53 | 8.81 | 59.9% | +| fargate | 1e+03 | 832 | 80 | 416 | 0.218 | 0.542 | 59.7% | +| fargate | 3e+03 | 832 | 80 | 416 | 0.218 | 0.542 | 59.7% | +| fargate | 1e+04 | 832 | 80 | 416 | 0.218 | 0.542 | 59.7% | + +## mixed + multi-grouping, m = 16: 1792 RQEs + +Sanity violations: 0. Tightest feasible SLA: ASAP 490 ms, PerQuery 490 ms. AutoSketch latency 1.01e+03 ms; planning time (search + measured benchmark) 7.7e+03 s. + +| weights | SLA (ms) | method | cost | latency (ms) | CPU (vCPU) | GiB | meets SLA | +|---|---|---|---|---|---|---|---| +| cpu | 100 | ASAP | infeasible (tightest 490 ms) ||||| +| cpu | 100 | ASAP (no roll-ups) | infeasible (tightest 490 ms) ||||| +| cpu | 100 | PerQuery-CostAware | infeasible (tightest 490 ms) ||||| +| cpu | 100 | AutoSketch-Adapted | 5.96e+04 | 1.01e+03 | 5.96e+04 | 9e+04 | **no** | +| cpu | 300 | ASAP | infeasible (tightest 490 ms) ||||| +| cpu | 300 | ASAP (no roll-ups) | infeasible (tightest 490 ms) ||||| +| cpu | 300 | PerQuery-CostAware | infeasible (tightest 490 ms) ||||| +| cpu | 300 | AutoSketch-Adapted | 5.96e+04 | 1.01e+03 | 5.96e+04 | 9e+04 | **no** | +| cpu | 1e+03 | ASAP | 94.3 | 980 | 94.3 | 508 | yes | +| cpu | 1e+03 | ASAP (no roll-ups) | 99.6 | 980 | 99.6 | 532 | yes | +| cpu | 1e+03 | PerQuery-CostAware | 232 | 980 | 232 | 2.57e+03 | yes | +| cpu | 1e+03 | AutoSketch-Adapted | 5.96e+04 | 1.01e+03 | 5.96e+04 | 9e+04 | **no** | +| cpu | 3e+03 | ASAP | 61.1 | 2.68e+03 | 61.1 | 319 | yes | +| cpu | 3e+03 | ASAP (no roll-ups) | 66.4 | 2.68e+03 | 66.4 | 343 | yes | +| cpu | 3e+03 | PerQuery-CostAware | 190 | 2.68e+03 | 190 | 2.33e+03 | yes | +| cpu | 3e+03 | AutoSketch-Adapted | 5.96e+04 | 1.01e+03 | 5.96e+04 | 9e+04 | yes | +| cpu | 1e+04 | ASAP | 61.1 | 2.68e+03 | 61.1 | 319 | yes | +| cpu | 1e+04 | ASAP (no roll-ups) | 66.4 | 2.68e+03 | 66.4 | 343 | yes | +| cpu | 1e+04 | PerQuery-CostAware | 185 | 3.33e+03 | 185 | 1.29e+03 | yes | +| cpu | 1e+04 | AutoSketch-Adapted | 5.96e+04 | 1.01e+03 | 5.96e+04 | 9e+04 | yes | +| fargate | 100 | ASAP | infeasible (tightest 490 ms) ||||| +| fargate | 100 | ASAP (no roll-ups) | infeasible (tightest 490 ms) ||||| +| fargate | 100 | PerQuery-CostAware | infeasible (tightest 490 ms) ||||| +| fargate | 100 | AutoSketch-Adapted | 2.81e+03 | 1.01e+03 | 5.96e+04 | 9e+04 | **no** | +| fargate | 300 | ASAP | infeasible (tightest 490 ms) ||||| +| fargate | 300 | ASAP (no roll-ups) | infeasible (tightest 490 ms) ||||| +| fargate | 300 | PerQuery-CostAware | infeasible (tightest 490 ms) ||||| +| fargate | 300 | AutoSketch-Adapted | 2.81e+03 | 1.01e+03 | 5.96e+04 | 9e+04 | **no** | +| fargate | 1e+03 | ASAP | 5.13 | 896 | 94.6 | 292 | yes | +| fargate | 1e+03 | ASAP (no roll-ups) | 5.46 | 959 | 100 | 316 | yes | +| fargate | 1e+03 | PerQuery-CostAware | 14.8 | 959 | 236 | 1.17e+03 | yes | +| fargate | 1e+03 | AutoSketch-Adapted | 2.81e+03 | 1.01e+03 | 5.96e+04 | 9e+04 | **no** | +| fargate | 3e+03 | ASAP | 3.89 | 2.68e+03 | 61.2 | 318 | yes | +| fargate | 3e+03 | ASAP (no roll-ups) | 4.22 | 2.68e+03 | 66.5 | 342 | yes | +| fargate | 3e+03 | PerQuery-CostAware | 13.1 | 2.68e+03 | 192 | 1.19e+03 | yes | +| fargate | 3e+03 | AutoSketch-Adapted | 2.81e+03 | 1.01e+03 | 5.96e+04 | 9e+04 | yes | +| fargate | 1e+04 | ASAP | 3.89 | 2.68e+03 | 61.2 | 318 | yes | +| fargate | 1e+04 | ASAP (no roll-ups) | 4.22 | 2.68e+03 | 66.5 | 342 | yes | +| fargate | 1e+04 | PerQuery-CostAware | 13 | 3.26e+03 | 190 | 1.19e+03 | yes | +| fargate | 1e+04 | AutoSketch-Adapted | 2.81e+03 | 1.01e+03 | 5.96e+04 | 9e+04 | yes | + +Roll-up ablation (ASAP vs. ASAP without roll-ups): + +| weights | SLA (ms) | RQEs rolled up | deployments with | deployments without | cost with | cost without | saving | +|---|---|---|---|---|---|---|---| +| cpu | 1e+03 | 832 | 224 | 560 | 94.3 | 99.6 | 5.3% | +| cpu | 3e+03 | 832 | 208 | 544 | 61.1 | 66.4 | 8.0% | +| cpu | 1e+04 | 832 | 208 | 544 | 61.1 | 66.4 | 8.0% | +| fargate | 1e+03 | 832 | 224 | 560 | 5.13 | 5.46 | 5.9% | +| fargate | 3e+03 | 832 | 208 | 544 | 3.89 | 4.22 | 7.7% | +| fargate | 1e+04 | 832 | 208 | 544 | 3.89 | 4.22 | 7.7% | diff --git a/rqe-optimizer/results/autosketch-vs-asap-hydra/summary_synthetic.md b/rqe-optimizer/results/autosketch-vs-asap-hydra/summary_synthetic.md new file mode 100644 index 0000000..891f463 --- /dev/null +++ b/rqe-optimizer/results/autosketch-vs-asap-hydra/summary_synthetic.md @@ -0,0 +1,375 @@ +# Synthetic workload: AutoSketch vs. ASAP, cost by use + +Cost by use: `w_cpu · AUC(CPU) + w_mem · AUC(memory)` (CPU only, in vCPU; Fargate prices, in $/hour). Latency: a plan's query latency (its longest chain, compaction then query, CPU elastic), and the median over its RQEs. AutoSketch's planning time is its search plus its measured benchmark. + +## mixed + multi-grouping + +112 RQEs on 11 streams; dropped: 0; sanity violations: 0. AutoSketch: 332 probes, 19 distinct (metric, config); measured benchmark 481 s at N = 1e+08 (paper rate 1.14e+03 s). AutoSketch latency 1.01e+03 ms; tightest feasible bound 490 ms. + +| weights | method | cost (unbounded) | CPU (vCPU) | GiB | latency (ms) | median latency (ms) | planning (s) | cost at AutoSketch's latency | +|---|---|---|---|---|---|---|---|---| +| cpu | ASAP | 3.76 | 3.76 | 30 | 1.34e+04 | 51.1 | 1.12 | 5.9 | +| cpu | ASAP (no roll-ups) | 4.09 | 4.09 | 31.5 | 1.34e+04 | 39 | 1.09 | 6.23 | +| cpu | PerQuery-CostAware | 11.6 | 11.6 | 80.7 | 3.33e+03 | 39 | 0.875 | 14.5 | +| cpu | AutoSketch-Adapted | 3.73e+03 | 3.73e+03 | 5.63e+03 | 1.01e+03 | 4.9 | 481 | 3.73e+03 | +| fargate | ASAP | 0.243 | 3.82 | 19.9 | 2.68e+03 | 51.1 | 1.23 | 0.321 | +| fargate | ASAP (no roll-ups) | 0.264 | 4.16 | 21.4 | 2.68e+03 | 39 | 1.17 | 0.341 | +| fargate | PerQuery-CostAware | 0.812 | 11.9 | 74.6 | 3.26e+03 | 39 | 0.886 | 0.923 | +| fargate | AutoSketch-Adapted | 176 | 3.73e+03 | 5.63e+03 | 1.01e+03 | 4.9 | 481 | 176 | + +Frontier points (latency ms, cost), by weights: + +- cpu, ASAP: (490, 8.99), (649, 7.43), (813, 6.66), (980, 5.9), (1.08e+03, 5.83), (1.48e+03, 5.24), (2.68e+03, 3.82), (1.34e+04, 3.76) +- cpu, ASAP (no roll-ups): (490, 9.49), (649, 7.79), (813, 7.02), (980, 6.23), (1.08e+03, 6.16), (1.48e+03, 5.57), (2.68e+03, 4.15), (1.34e+04, 4.09) +- cpu, PerQuery-CostAware: (490, 20), (575, 17.8), (673, 16.5), (813, 15.6), (980, 14.5), (1.14e+03, 13.9), (1.34e+03, 13.4), (1.63e+03, 12.8), (1.96e+03, 12.7), (2.29e+03, 12.3), (2.68e+03, 11.9), (3.33e+03, 11.6) +- fargate, ASAP: (490, 0.443), (557, 0.384), (649, 0.381), (765, 0.352), (896, 0.321), (1.08e+03, 0.317), (1.3e+03, 0.314), (1.48e+03, 0.301), (2.29e+03, 0.272), (2.68e+03, 0.243) +- fargate, ASAP (no roll-ups): (490, 0.471), (557, 0.406), (649, 0.403), (765, 0.374), (896, 0.343), (959, 0.341), (1.08e+03, 0.337), (1.3e+03, 0.334), (1.48e+03, 0.321), (2.29e+03, 0.293), (2.68e+03, 0.264) +- fargate, PerQuery-CostAware: (490, 1.14), (575, 1.04), (673, 0.994), (813, 0.956), (959, 0.923), (1.14e+03, 0.893), (1.34e+03, 0.87), (1.63e+03, 0.852), (2.29e+03, 0.831), (2.68e+03, 0.817), (3.26e+03, 0.812) + +Roll-up ablation (ASAP vs. ASAP without roll-ups): + +| weights | RQEs rolled up | deployments with | deployments without | cost with | cost without | saving | +|---|---|---|---|---|---|---| +| cpu | 52 | 13 | 34 | 3.76 | 4.09 | 8.1% | +| fargate | 52 | 13 | 34 | 0.243 | 0.264 | 7.7% | + +## mixed + multi-grouping, m = 8 + +896 RQEs on 88 streams; dropped: 0; sanity violations: 0. AutoSketch: 2656 probes, 152 distinct (metric, config); measured benchmark 3.85e+03 s at N = 1e+08 (paper rate 9.12e+03 s). AutoSketch latency 1.01e+03 ms; tightest feasible bound 490 ms. + +| weights | method | cost (unbounded) | CPU (vCPU) | GiB | latency (ms) | median latency (ms) | planning (s) | cost at AutoSketch's latency | +|---|---|---|---|---|---|---|---|---| +| cpu | ASAP | 30.1 | 30.1 | 240 | 1.34e+04 | 51.1 | 10.4 | 47.2 | +| cpu | ASAP (no roll-ups) | 32.7 | 32.7 | 252 | 1.34e+04 | 39 | 9.73 | 49.8 | +| cpu | PerQuery-CostAware | 92.7 | 92.7 | 646 | 3.33e+03 | 39 | 7.84 | 116 | +| cpu | AutoSketch-Adapted | 2.98e+04 | 2.98e+04 | 4.5e+04 | 1.01e+03 | 4.9 | 3.85e+03 | 2.98e+04 | +| fargate | ASAP | 1.95 | 30.6 | 159 | 2.68e+03 | 51.1 | 13.2 | 2.57 | +| fargate | ASAP (no roll-ups) | 2.11 | 33.3 | 171 | 2.68e+03 | 39 | 10.7 | 2.73 | +| fargate | PerQuery-CostAware | 6.49 | 94.8 | 596 | 3.26e+03 | 39 | 7.93 | 7.39 | +| fargate | AutoSketch-Adapted | 1.41e+03 | 2.98e+04 | 4.5e+04 | 1.01e+03 | 4.9 | 3.85e+03 | 1.41e+03 | + +Frontier points (latency ms, cost), by weights: + +- cpu, ASAP: (490, 71.9), (649, 59.4), (813, 53.3), (980, 47.2), (1.08e+03, 46.7), (1.48e+03, 41.9), (2.68e+03, 30.6), (1.34e+04, 30.1) +- cpu, ASAP (no roll-ups): (490, 75.9), (649, 62.3), (813, 56.2), (980, 49.8), (1.08e+03, 49.3), (1.48e+03, 44.5), (2.68e+03, 33.2), (1.34e+04, 32.7) +- cpu, PerQuery-CostAware: (490, 160), (575, 143), (673, 132), (813, 125), (980, 116), (1.14e+03, 111), (1.34e+03, 107), (1.63e+03, 102), (1.96e+03, 102), (2.29e+03, 98.3), (2.68e+03, 95.2), (3.33e+03, 92.7) +- fargate, ASAP: (490, 3.54), (557, 3.07), (649, 3.05), (765, 2.81), (896, 2.57), (1.08e+03, 2.53), (1.3e+03, 2.51), (1.48e+03, 2.41), (2.29e+03, 2.18), (2.68e+03, 1.95) +- fargate, ASAP (no roll-ups): (490, 3.77), (557, 3.25), (649, 3.22), (765, 2.99), (896, 2.74), (959, 2.73), (1.08e+03, 2.69), (1.3e+03, 2.67), (1.48e+03, 2.57), (2.29e+03, 2.34), (2.68e+03, 2.11) +- fargate, PerQuery-CostAware: (490, 9.1), (575, 8.36), (673, 7.96), (813, 7.65), (959, 7.39), (1.14e+03, 7.14), (1.34e+03, 6.96), (1.63e+03, 6.81), (2.29e+03, 6.65), (2.68e+03, 6.53), (3.26e+03, 6.49) + +Roll-up ablation (ASAP vs. ASAP without roll-ups): + +| weights | RQEs rolled up | deployments with | deployments without | cost with | cost without | saving | +|---|---|---|---|---|---|---| +| cpu | 416 | 104 | 272 | 30.1 | 32.7 | 8.1% | +| fargate | 416 | 104 | 272 | 1.95 | 2.11 | 7.7% | + +## mixed + multi-grouping, m = 16 + +1792 RQEs on 176 streams; dropped: 0; sanity violations: 0. AutoSketch: 5312 probes, 304 distinct (metric, config); measured benchmark 7.7e+03 s at N = 1e+08 (paper rate 1.82e+04 s). AutoSketch latency 1.01e+03 ms; tightest feasible bound 490 ms. + +| weights | method | cost (unbounded) | CPU (vCPU) | GiB | latency (ms) | median latency (ms) | planning (s) | cost at AutoSketch's latency | +|---|---|---|---|---|---|---|---|---| +| cpu | ASAP | 60.2 | 60.2 | 480 | 1.34e+04 | 51.1 | 22.5 | 94.3 | +| cpu | ASAP (no roll-ups) | 65.4 | 65.4 | 504 | 1.34e+04 | 39 | 21.1 | 99.6 | +| cpu | PerQuery-CostAware | 185 | 185 | 1.29e+03 | 3.33e+03 | 39 | 16.7 | 232 | +| cpu | AutoSketch-Adapted | 5.96e+04 | 5.96e+04 | 9e+04 | 1.01e+03 | 4.9 | 7.7e+03 | 5.96e+04 | +| fargate | ASAP | 3.89 | 61.2 | 318 | 2.68e+03 | 51.1 | 31.3 | 5.13 | +| fargate | ASAP (no roll-ups) | 4.22 | 66.5 | 342 | 2.68e+03 | 39 | 26.9 | 5.46 | +| fargate | PerQuery-CostAware | 13 | 190 | 1.19e+03 | 3.26e+03 | 39 | 17.2 | 14.8 | +| fargate | AutoSketch-Adapted | 2.81e+03 | 5.96e+04 | 9e+04 | 1.01e+03 | 4.9 | 7.7e+03 | 2.81e+03 | + +Frontier points (latency ms, cost), by weights: + +- cpu, ASAP: (490, 144), (649, 119), (813, 107), (980, 94.3), (1.08e+03, 93.3), (1.48e+03, 83.8), (2.68e+03, 61.1), (1.34e+04, 60.2) +- cpu, ASAP (no roll-ups): (490, 152), (649, 125), (813, 112), (980, 99.6), (1.08e+03, 98.6), (1.48e+03, 89.1), (2.68e+03, 66.4), (1.34e+04, 65.4) +- cpu, PerQuery-CostAware: (490, 320), (575, 285), (673, 265), (813, 250), (980, 232), (1.14e+03, 223), (1.34e+03, 214), (1.63e+03, 205), (1.96e+03, 204), (2.29e+03, 197), (2.68e+03, 190), (3.33e+03, 185) +- fargate, ASAP: (490, 7.09), (557, 6.14), (649, 6.1), (765, 5.63), (896, 5.13), (1.08e+03, 5.07), (1.3e+03, 5.02), (1.48e+03, 4.81), (2.29e+03, 4.36), (2.68e+03, 3.89) +- fargate, ASAP (no roll-ups): (490, 7.54), (557, 6.5), (649, 6.45), (765, 5.98), (896, 5.48), (959, 5.46), (1.08e+03, 5.39), (1.3e+03, 5.34), (1.48e+03, 5.14), (2.29e+03, 4.68), (2.68e+03, 4.22) +- fargate, PerQuery-CostAware: (490, 18.2), (575, 16.7), (673, 15.9), (813, 15.3), (959, 14.8), (1.14e+03, 14.3), (1.34e+03, 13.9), (1.63e+03, 13.6), (2.29e+03, 13.3), (2.68e+03, 13.1), (3.26e+03, 13) + +Roll-up ablation (ASAP vs. ASAP without roll-ups): + +| weights | RQEs rolled up | deployments with | deployments without | cost with | cost without | saving | +|---|---|---|---|---|---|---| +| cpu | 832 | 208 | 544 | 60.2 | 65.4 | 8.1% | +| fargate | 832 | 208 | 544 | 3.89 | 4.22 | 7.7% | + +## mixed + multi-grouping, r = 8 + +216 RQEs on 11 streams; dropped: 0; sanity violations: 0. AutoSketch: 628 probes, 19 distinct (metric, config); measured benchmark 481 s at N = 1e+08 (paper rate 1.14e+03 s). AutoSketch latency 1.01e+03 ms; tightest feasible bound 490 ms. + +| weights | method | cost (unbounded) | CPU (vCPU) | GiB | latency (ms) | median latency (ms) | planning (s) | cost at AutoSketch's latency | +|---|---|---|---|---|---|---|---|---| +| cpu | ASAP | 3.9 | 3.9 | 19.9 | 2.68e+03 | 51.1 | 2.68 | 5.95 | +| cpu | ASAP (no roll-ups) | 4.23 | 4.23 | 21.5 | 2.68e+03 | 39 | 2.57 | 6.28 | +| cpu | PerQuery-CostAware | 20.5 | 20.5 | 112 | 3.33e+03 | 30.6 | 1.73 | 23.7 | +| cpu | AutoSketch-Adapted | 4.47e+03 | 4.47e+03 | 5.86e+03 | 1.01e+03 | 4.9 | 481 | 4.47e+03 | +| fargate | ASAP | 0.247 | 3.91 | 19.9 | 2.68e+03 | 51.1 | 3.3 | 0.323 | +| fargate | ASAP (no roll-ups) | 0.267 | 4.24 | 21.4 | 2.68e+03 | 39 | 3.1 | 0.343 | +| fargate | PerQuery-CostAware | 1.24 | 20.9 | 88.8 | 3.26e+03 | 30.6 | 1.74 | 1.36 | +| fargate | AutoSketch-Adapted | 207 | 4.47e+03 | 5.86e+03 | 1.01e+03 | 4.9 | 481 | 207 | + +Frontier points (latency ms, cost), by weights: + +- cpu, ASAP: (490, 9.03), (557, 7.54), (649, 7.47), (765, 6.74), (896, 5.96), (980, 5.95), (1.08e+03, 5.89), (1.3e+03, 5.83), (1.48e+03, 5.31), (2.29e+03, 4.61), (2.68e+03, 3.9) +- cpu, ASAP (no roll-ups): (490, 9.53), (557, 7.91), (649, 7.84), (765, 7.1), (896, 6.32), (980, 6.28), (1.08e+03, 6.22), (1.3e+03, 6.16), (1.48e+03, 5.64), (2.29e+03, 4.94), (2.68e+03, 4.23) +- cpu, PerQuery-CostAware: (490, 30.1), (575, 27.1), (673, 25.7), (813, 24.8), (980, 23.7), (1.14e+03, 23), (1.34e+03, 22.3), (1.63e+03, 21.8), (1.96e+03, 21.7), (2.29e+03, 21.2), (2.68e+03, 20.9), (3.33e+03, 20.5) +- fargate, ASAP: (490, 0.444), (557, 0.386), (649, 0.383), (765, 0.354), (896, 0.323), (1.08e+03, 0.319), (1.3e+03, 0.316), (1.48e+03, 0.304), (2.29e+03, 0.276), (2.68e+03, 0.247) +- fargate, ASAP (no roll-ups): (490, 0.472), (557, 0.408), (649, 0.405), (765, 0.376), (896, 0.345), (959, 0.343), (1.08e+03, 0.339), (1.3e+03, 0.336), (1.48e+03, 0.324), (2.29e+03, 0.296), (2.68e+03, 0.267) +- fargate, PerQuery-CostAware: (490, 1.61), (575, 1.49), (673, 1.43), (813, 1.39), (959, 1.36), (1.14e+03, 1.33), (1.34e+03, 1.3), (1.63e+03, 1.28), (2.29e+03, 1.26), (2.68e+03, 1.25), (3.26e+03, 1.24) + +Roll-up ablation (ASAP vs. ASAP without roll-ups): + +| weights | RQEs rolled up | deployments with | deployments without | cost with | cost without | saving | +|---|---|---|---|---|---|---| +| cpu | 104 | 13 | 34 | 3.9 | 4.23 | 7.8% | +| fargate | 104 | 13 | 34 | 0.247 | 0.267 | 7.6% | + +## mixed + +50 RQEs on 8 streams; dropped: 0; sanity violations: 0. AutoSketch: 166 probes, 10 distinct (metric, config); measured benchmark 212 s at N = 1e+08 (paper rate 600 s). AutoSketch latency 1.01e+03 ms; tightest feasible bound 87.7 ms. + +| weights | method | cost (unbounded) | CPU (vCPU) | GiB | latency (ms) | median latency (ms) | planning (s) | cost at AutoSketch's latency | +|---|---|---|---|---|---|---|---|---| +| cpu | ASAP | 3.54 | 3.54 | 28.9 | 1.34e+04 | 97.4 | 0.722 | 5.67 | +| cpu | ASAP (no roll-ups) | 3.54 | 3.54 | 28.9 | 1.34e+04 | 97.4 | 0.721 | 5.67 | +| cpu | PerQuery-CostAware | 10.5 | 10.5 | 77 | 3.33e+03 | 97.4 | 0.638 | 13.5 | +| cpu | AutoSketch-Adapted | 3.72e+03 | 3.72e+03 | 5.62e+03 | 1.01e+03 | 1.22 | 212 | 3.72e+03 | +| fargate | ASAP | 0.23 | 3.6 | 18.9 | 2.68e+03 | 51.1 | 0.779 | 0.307 | +| fargate | ASAP (no roll-ups) | 0.23 | 3.6 | 18.9 | 2.68e+03 | 51.1 | 0.779 | 0.307 | +| fargate | PerQuery-CostAware | 0.752 | 10.8 | 70.9 | 3.26e+03 | 97.4 | 0.646 | 0.864 | +| fargate | AutoSketch-Adapted | 176 | 3.72e+03 | 5.62e+03 | 1.01e+03 | 1.22 | 212 | 176 | + +Frontier points (latency ms, cost), by weights: + +- cpu, ASAP: (87.7, 47.4), (138, 24.1), (206, 16.2), (342, 11.7), (541, 7.28), (813, 6.44), (980, 5.67), (1.3e+03, 5.55), (1.48e+03, 5.02), (2.68e+03, 3.6), (1.34e+04, 3.54) +- cpu, ASAP (no roll-ups): (87.7, 47.4), (138, 24.1), (206, 16.2), (342, 11.7), (541, 7.28), (813, 6.44), (980, 5.67), (1.3e+03, 5.55), (1.48e+03, 5.02), (2.68e+03, 3.6), (1.34e+04, 3.54) +- cpu, PerQuery-CostAware: (87.7, 78.3), (118, 51.5), (164, 36.6), (235, 28.4), (324, 23.3), (452, 19.2), (575, 16.7), (829, 14), (980, 13.5), (1.14e+03, 12.9), (1.63e+03, 11.7), (2.29e+03, 11.2), (3.33e+03, 10.5) +- fargate, ASAP: (87.7, 2.01), (115, 1.25), (163, 0.847), (219, 0.715), (291, 0.586), (386, 0.494), (541, 0.37), (765, 0.338), (896, 0.307), (1.3e+03, 0.3), (1.48e+03, 0.287), (2.68e+03, 0.23) +- fargate, ASAP (no roll-ups): (87.7, 2.01), (115, 1.25), (163, 0.847), (219, 0.715), (291, 0.586), (386, 0.494), (541, 0.37), (765, 0.338), (896, 0.307), (1.3e+03, 0.3), (1.48e+03, 0.287), (2.68e+03, 0.23) +- fargate, PerQuery-CostAware: (87.7, 3.52), (118, 2.4), (164, 1.79), (233, 1.49), (323, 1.24), (452, 1.08), (575, 0.981), (829, 0.879), (896, 0.864), (1.14e+03, 0.833), (1.63e+03, 0.792), (2.29e+03, 0.771), (3.26e+03, 0.752) + +Roll-up ablation (ASAP vs. ASAP without roll-ups): + +| weights | RQEs rolled up | deployments with | deployments without | cost with | cost without | saving | +|---|---|---|---|---|---|---| +| cpu | 0 | 8 | 8 | 3.54 | 3.54 | 0.0% | +| fargate | 0 | 8 | 8 | 0.23 | 0.23 | 0.0% | + +## mixed, m = 8 + +400 RQEs on 64 streams; dropped: 0; sanity violations: 0. AutoSketch: 1328 probes, 80 distinct (metric, config); measured benchmark 1.7e+03 s at N = 1e+08 (paper rate 4.8e+03 s). AutoSketch latency 1.01e+03 ms; tightest feasible bound 87.7 ms. + +| weights | method | cost (unbounded) | CPU (vCPU) | GiB | latency (ms) | median latency (ms) | planning (s) | cost at AutoSketch's latency | +|---|---|---|---|---|---|---|---|---| +| cpu | ASAP | 28.3 | 28.3 | 231 | 1.34e+04 | 97.4 | 6.34 | 45.4 | +| cpu | ASAP (no roll-ups) | 28.3 | 28.3 | 231 | 1.34e+04 | 97.4 | 6.35 | 45.4 | +| cpu | PerQuery-CostAware | 84.1 | 84.1 | 616 | 3.33e+03 | 97.4 | 5.44 | 108 | +| cpu | AutoSketch-Adapted | 2.97e+04 | 2.97e+04 | 4.5e+04 | 1.01e+03 | 1.22 | 1.7e+03 | 2.97e+04 | +| fargate | ASAP | 1.84 | 28.8 | 151 | 2.68e+03 | 51.1 | 7.45 | 2.46 | +| fargate | ASAP (no roll-ups) | 1.84 | 28.8 | 151 | 2.68e+03 | 51.1 | 7.46 | 2.46 | +| fargate | PerQuery-CostAware | 6.02 | 86.2 | 568 | 3.26e+03 | 97.4 | 5.52 | 6.91 | +| fargate | AutoSketch-Adapted | 1.4e+03 | 2.97e+04 | 4.5e+04 | 1.01e+03 | 1.22 | 1.7e+03 | 1.4e+03 | + +Frontier points (latency ms, cost), by weights: + +- cpu, ASAP: (87.7, 379), (138, 193), (206, 129), (342, 93.8), (541, 58.2), (813, 51.5), (980, 45.4), (1.3e+03, 44.4), (1.48e+03, 40.1), (2.68e+03, 28.8), (1.34e+04, 28.3) +- cpu, ASAP (no roll-ups): (87.7, 379), (138, 193), (206, 129), (342, 93.8), (541, 58.2), (813, 51.5), (980, 45.4), (1.3e+03, 44.4), (1.48e+03, 40.1), (2.68e+03, 28.8), (1.34e+04, 28.3) +- cpu, PerQuery-CostAware: (87.7, 626), (118, 412), (164, 293), (235, 227), (324, 186), (452, 154), (575, 133), (829, 112), (980, 108), (1.14e+03, 103), (1.63e+03, 93.8), (2.29e+03, 89.7), (3.33e+03, 84.1) +- fargate, ASAP: (87.7, 16.1), (115, 10), (163, 6.78), (219, 5.72), (291, 4.69), (386, 3.95), (541, 2.96), (765, 2.71), (896, 2.46), (1.3e+03, 2.4), (1.48e+03, 2.3), (2.68e+03, 1.84) +- fargate, ASAP (no roll-ups): (87.7, 16.1), (115, 10), (163, 6.78), (219, 5.72), (291, 4.69), (386, 3.95), (541, 2.96), (765, 2.71), (896, 2.46), (1.3e+03, 2.4), (1.48e+03, 2.3), (2.68e+03, 1.84) +- fargate, PerQuery-CostAware: (87.7, 28.1), (118, 19.2), (164, 14.3), (233, 11.9), (323, 9.95), (452, 8.66), (575, 7.85), (829, 7.03), (896, 6.91), (1.14e+03, 6.66), (1.63e+03, 6.34), (2.29e+03, 6.17), (3.26e+03, 6.02) + +Roll-up ablation (ASAP vs. ASAP without roll-ups): + +| weights | RQEs rolled up | deployments with | deployments without | cost with | cost without | saving | +|---|---|---|---|---|---|---| +| cpu | 0 | 64 | 64 | 28.3 | 28.3 | 0.0% | +| fargate | 0 | 64 | 64 | 1.84 | 1.84 | 0.0% | + +## mixed, m = 16 + +800 RQEs on 128 streams; dropped: 0; sanity violations: 0. AutoSketch: 2656 probes, 160 distinct (metric, config); measured benchmark 3.39e+03 s at N = 1e+08 (paper rate 9.6e+03 s). AutoSketch latency 1.01e+03 ms; tightest feasible bound 87.7 ms. + +| weights | method | cost (unbounded) | CPU (vCPU) | GiB | latency (ms) | median latency (ms) | planning (s) | cost at AutoSketch's latency | +|---|---|---|---|---|---|---|---|---| +| cpu | ASAP | 56.6 | 56.6 | 463 | 1.34e+04 | 97.4 | 13.7 | 90.8 | +| cpu | ASAP (no roll-ups) | 56.6 | 56.6 | 463 | 1.34e+04 | 97.4 | 13.7 | 90.8 | +| cpu | PerQuery-CostAware | 168 | 168 | 1.23e+03 | 3.33e+03 | 97.4 | 11.4 | 215 | +| cpu | AutoSketch-Adapted | 5.95e+04 | 5.95e+04 | 9e+04 | 1.01e+03 | 1.22 | 3.39e+03 | 5.95e+04 | +| fargate | ASAP | 3.68 | 57.6 | 302 | 2.68e+03 | 51.1 | 16.9 | 4.91 | +| fargate | ASAP (no roll-ups) | 3.68 | 57.6 | 302 | 2.68e+03 | 51.1 | 16.8 | 4.91 | +| fargate | PerQuery-CostAware | 12 | 172 | 1.14e+03 | 3.26e+03 | 97.4 | 11.7 | 13.8 | +| fargate | AutoSketch-Adapted | 2.81e+03 | 5.95e+04 | 9e+04 | 1.01e+03 | 1.22 | 3.39e+03 | 2.81e+03 | + +Frontier points (latency ms, cost), by weights: + +- cpu, ASAP: (87.7, 758), (138, 386), (206, 259), (342, 188), (541, 116), (813, 103), (980, 90.8), (1.3e+03, 88.8), (1.48e+03, 80.3), (2.68e+03, 57.6), (1.34e+04, 56.6) +- cpu, ASAP (no roll-ups): (87.7, 758), (138, 386), (206, 259), (342, 188), (541, 116), (813, 103), (980, 90.8), (1.3e+03, 88.8), (1.48e+03, 80.3), (2.68e+03, 57.6), (1.34e+04, 56.6) +- cpu, PerQuery-CostAware: (87.7, 1.25e+03), (118, 824), (164, 586), (235, 454), (324, 372), (452, 308), (575, 267), (829, 224), (980, 215), (1.14e+03, 206), (1.63e+03, 188), (2.29e+03, 179), (3.33e+03, 168) +- fargate, ASAP: (87.7, 32.2), (115, 20), (163, 13.6), (219, 11.4), (291, 9.38), (386, 7.91), (541, 5.93), (765, 5.41), (896, 4.91), (1.3e+03, 4.8), (1.48e+03, 4.59), (2.68e+03, 3.68) +- fargate, ASAP (no roll-ups): (87.7, 32.2), (115, 20), (163, 13.6), (219, 11.4), (291, 9.38), (386, 7.91), (541, 5.93), (765, 5.41), (896, 4.91), (1.3e+03, 4.8), (1.48e+03, 4.59), (2.68e+03, 3.68) +- fargate, PerQuery-CostAware: (87.7, 56.3), (118, 38.5), (164, 28.7), (233, 23.8), (323, 19.9), (452, 17.3), (575, 15.7), (829, 14.1), (896, 13.8), (1.14e+03, 13.3), (1.63e+03, 12.7), (2.29e+03, 12.3), (3.26e+03, 12) + +Roll-up ablation (ASAP vs. ASAP without roll-ups): + +| weights | RQEs rolled up | deployments with | deployments without | cost with | cost without | saving | +|---|---|---|---|---|---|---| +| cpu | 0 | 128 | 128 | 56.6 | 56.6 | 0.0% | +| fargate | 0 | 128 | 128 | 3.68 | 3.68 | 0.0% | + +## mixed, r = 8 + +92 RQEs on 8 streams; dropped: 0; sanity violations: 0. AutoSketch: 296 probes, 10 distinct (metric, config); measured benchmark 212 s at N = 1e+08 (paper rate 600 s). AutoSketch latency 1.01e+03 ms; tightest feasible bound 87.7 ms. + +| weights | method | cost (unbounded) | CPU (vCPU) | GiB | latency (ms) | median latency (ms) | planning (s) | cost at AutoSketch's latency | +|---|---|---|---|---|---|---|---|---| +| cpu | ASAP | 3.66 | 3.66 | 18.9 | 2.68e+03 | 58.6 | 1.64 | 5.71 | +| cpu | ASAP (no roll-ups) | 3.66 | 3.66 | 18.9 | 2.68e+03 | 58.6 | 1.64 | 5.71 | +| cpu | PerQuery-CostAware | 18.5 | 18.5 | 107 | 3.33e+03 | 61.5 | 1.23 | 21.6 | +| cpu | AutoSketch-Adapted | 4.46e+03 | 4.46e+03 | 5.86e+03 | 1.01e+03 | 1.21 | 212 | 4.46e+03 | +| fargate | ASAP | 0.232 | 3.66 | 18.9 | 2.68e+03 | 58.6 | 2 | 0.308 | +| fargate | ASAP (no roll-ups) | 0.232 | 3.66 | 18.9 | 2.68e+03 | 58.6 | 2.02 | 0.308 | +| fargate | PerQuery-CostAware | 1.14 | 18.8 | 84.2 | 3.26e+03 | 51.1 | 1.24 | 1.26 | +| fargate | AutoSketch-Adapted | 207 | 4.46e+03 | 5.86e+03 | 1.01e+03 | 1.21 | 212 | 207 | + +Frontier points (latency ms, cost), by weights: + +- cpu, ASAP: (87.7, 47.4), (115, 29), (163, 19.1), (219, 15.9), (291, 12.7), (389, 10.3), (541, 7.3), (765, 6.5), (980, 5.71), (1.3e+03, 5.59), (1.48e+03, 5.06), (2.68e+03, 3.66) +- cpu, ASAP (no roll-ups): (87.7, 47.4), (115, 29), (163, 19.1), (219, 15.9), (291, 12.7), (389, 10.3), (541, 7.3), (765, 6.5), (980, 5.71), (1.3e+03, 5.59), (1.48e+03, 5.06), (2.68e+03, 3.66) +- cpu, PerQuery-CostAware: (87.7, 95.7), (118, 66), (164, 48.4), (235, 38.9), (324, 32.9), (452, 28.7), (575, 25), (829, 22.2), (980, 21.6), (1.14e+03, 21), (1.63e+03, 19.7), (2.29e+03, 19.2), (3.33e+03, 18.5) +- fargate, ASAP: (87.7, 2.01), (115, 1.25), (163, 0.848), (219, 0.715), (291, 0.587), (386, 0.495), (541, 0.371), (765, 0.339), (896, 0.308), (1.3e+03, 0.301), (1.48e+03, 0.289), (2.68e+03, 0.232) +- fargate, ASAP (no roll-ups): (87.7, 2.01), (115, 1.25), (163, 0.848), (219, 0.715), (291, 0.587), (386, 0.495), (541, 0.371), (765, 0.339), (896, 0.308), (1.3e+03, 0.301), (1.48e+03, 0.289), (2.68e+03, 0.232) +- fargate, PerQuery-CostAware: (87.7, 4.28), (118, 3.05), (164, 2.33), (233, 1.97), (323, 1.69), (452, 1.52), (575, 1.38), (829, 1.27), (896, 1.26), (1.14e+03, 1.23), (1.63e+03, 1.18), (2.29e+03, 1.16), (3.26e+03, 1.14) + +Roll-up ablation (ASAP vs. ASAP without roll-ups): + +| weights | RQEs rolled up | deployments with | deployments without | cost with | cost without | saving | +|---|---|---|---|---|---|---| +| cpu | 0 | 8 | 8 | 3.66 | 3.66 | 0.0% | +| fargate | 0 | 8 | 8 | 0.232 | 0.232 | 0.0% | + +## multi-grouping + +62 RQEs on 3 streams; dropped: 0; sanity violations: 0. AutoSketch: 166 probes, 9 distinct (metric, config); measured benchmark 269 s at N = 1e+08 (paper rate 540 s). AutoSketch latency 490 ms; tightest feasible bound 490 ms. + +| weights | method | cost (unbounded) | CPU (vCPU) | GiB | latency (ms) | median latency (ms) | planning (s) | cost at AutoSketch's latency | +|---|---|---|---|---|---|---|---|---| +| cpu | ASAP | 0.221 | 0.221 | 1.06 | 557 | 24.6 | 0.412 | 0.324 | +| cpu | ASAP (no roll-ups) | 0.551 | 0.551 | 2.6 | 959 | 19.5 | 0.381 | 0.823 | +| cpu | PerQuery-CostAware | 1.07 | 1.07 | 3.69 | 959 | 19.5 | 0.224 | 1.33 | +| cpu | AutoSketch-Adapted | 10.2 | 10.2 | 3.55 | 490 | 4.9 | 269 | 10.2 | +| fargate | ASAP | 0.0137 | 0.224 | 1.03 | 557 | 24.6 | 0.436 | 0.0187 | +| fargate | ASAP (no roll-ups) | 0.0339 | 0.559 | 2.52 | 959 | 16.2 | 0.386 | 0.0469 | +| fargate | PerQuery-CostAware | 0.0597 | 1.08 | 3.61 | 959 | 16.2 | 0.225 | 0.0701 | +| fargate | AutoSketch-Adapted | 0.43 | 10.2 | 3.55 | 490 | 4.9 | 269 | 0.43 | + +Frontier points (latency ms, cost), by weights: + +- cpu, ASAP: (490, 0.324), (557, 0.221) +- cpu, ASAP (no roll-ups): (490, 0.823), (557, 0.594), (624, 0.586), (959, 0.551) +- cpu, PerQuery-CostAware: (490, 1.33), (557, 1.17), (624, 1.09), (959, 1.07) +- fargate, ASAP: (490, 0.0187), (557, 0.0137) +- fargate, ASAP (no roll-ups): (490, 0.0469), (557, 0.0356), (959, 0.0339) +- fargate, PerQuery-CostAware: (490, 0.0701), (557, 0.0639), (624, 0.0605), (959, 0.0597) + +Roll-up ablation (ASAP vs. ASAP without roll-ups): + +| weights | RQEs rolled up | deployments with | deployments without | cost with | cost without | saving | +|---|---|---|---|---|---|---| +| cpu | 52 | 5 | 26 | 0.221 | 0.551 | 59.9% | +| fargate | 52 | 5 | 26 | 0.0137 | 0.0339 | 59.7% | + +## multi-grouping, m = 8 + +496 RQEs on 24 streams; dropped: 0; sanity violations: 0. AutoSketch: 1328 probes, 72 distinct (metric, config); measured benchmark 2.15e+03 s at N = 1e+08 (paper rate 4.32e+03 s). AutoSketch latency 490 ms; tightest feasible bound 490 ms. + +| weights | method | cost (unbounded) | CPU (vCPU) | GiB | latency (ms) | median latency (ms) | planning (s) | cost at AutoSketch's latency | +|---|---|---|---|---|---|---|---|---| +| cpu | ASAP | 1.77 | 1.77 | 8.52 | 557 | 24.6 | 3.4 | 2.59 | +| cpu | ASAP (no roll-ups) | 4.41 | 4.41 | 20.8 | 959 | 19.5 | 3.1 | 6.58 | +| cpu | PerQuery-CostAware | 8.55 | 8.55 | 29.5 | 959 | 19.5 | 1.93 | 10.6 | +| cpu | AutoSketch-Adapted | 81.7 | 81.7 | 28.4 | 490 | 4.9 | 2.15e+03 | 81.7 | +| fargate | ASAP | 0.109 | 1.79 | 8.22 | 557 | 24.6 | 3.63 | 0.15 | +| fargate | ASAP (no roll-ups) | 0.271 | 4.47 | 20.2 | 959 | 16.2 | 3.21 | 0.375 | +| fargate | PerQuery-CostAware | 0.477 | 8.61 | 28.9 | 959 | 16.2 | 1.93 | 0.56 | +| fargate | AutoSketch-Adapted | 3.44 | 81.7 | 28.4 | 490 | 4.9 | 2.15e+03 | 3.44 | + +Frontier points (latency ms, cost), by weights: + +- cpu, ASAP: (490, 2.59), (557, 1.77) +- cpu, ASAP (no roll-ups): (490, 6.58), (557, 4.76), (624, 4.69), (959, 4.41) +- cpu, PerQuery-CostAware: (490, 10.6), (557, 9.39), (624, 8.71), (959, 8.55) +- fargate, ASAP: (490, 0.15), (557, 0.109) +- fargate, ASAP (no roll-ups): (490, 0.375), (557, 0.285), (959, 0.271) +- fargate, PerQuery-CostAware: (490, 0.56), (557, 0.511), (624, 0.484), (959, 0.477) + +Roll-up ablation (ASAP vs. ASAP without roll-ups): + +| weights | RQEs rolled up | deployments with | deployments without | cost with | cost without | saving | +|---|---|---|---|---|---|---| +| cpu | 416 | 40 | 208 | 1.77 | 4.41 | 59.9% | +| fargate | 416 | 40 | 208 | 0.109 | 0.271 | 59.7% | + +## multi-grouping, m = 16 + +992 RQEs on 48 streams; dropped: 0; sanity violations: 0. AutoSketch: 2656 probes, 144 distinct (metric, config); measured benchmark 4.31e+03 s at N = 1e+08 (paper rate 8.64e+03 s). AutoSketch latency 490 ms; tightest feasible bound 490 ms. + +| weights | method | cost (unbounded) | CPU (vCPU) | GiB | latency (ms) | median latency (ms) | planning (s) | cost at AutoSketch's latency | +|---|---|---|---|---|---|---|---|---| +| cpu | ASAP | 3.53 | 3.53 | 17 | 557 | 24.6 | 7.01 | 5.18 | +| cpu | ASAP (no roll-ups) | 8.81 | 8.81 | 41.5 | 959 | 19.5 | 6.3 | 13.2 | +| cpu | PerQuery-CostAware | 17.1 | 17.1 | 59 | 959 | 19.5 | 4.09 | 21.2 | +| cpu | AutoSketch-Adapted | 163 | 163 | 56.8 | 490 | 4.9 | 4.31e+03 | 163 | +| fargate | ASAP | 0.218 | 3.59 | 16.4 | 557 | 24.6 | 9.83 | 0.3 | +| fargate | ASAP (no roll-ups) | 0.542 | 8.94 | 40.4 | 959 | 16.2 | 6.48 | 0.75 | +| fargate | PerQuery-CostAware | 0.955 | 17.2 | 57.8 | 959 | 16.2 | 4.07 | 1.12 | +| fargate | AutoSketch-Adapted | 6.87 | 163 | 56.8 | 490 | 4.9 | 4.31e+03 | 6.87 | + +Frontier points (latency ms, cost), by weights: + +- cpu, ASAP: (490, 5.18), (557, 3.53) +- cpu, ASAP (no roll-ups): (490, 13.2), (557, 9.51), (624, 9.37), (959, 8.81) +- cpu, PerQuery-CostAware: (490, 21.2), (557, 18.8), (624, 17.4), (959, 17.1) +- fargate, ASAP: (490, 0.3), (557, 0.218) +- fargate, ASAP (no roll-ups): (490, 0.75), (557, 0.57), (959, 0.542) +- fargate, PerQuery-CostAware: (490, 1.12), (557, 1.02), (624, 0.967), (959, 0.955) + +Roll-up ablation (ASAP vs. ASAP without roll-ups): + +| weights | RQEs rolled up | deployments with | deployments without | cost with | cost without | saving | +|---|---|---|---|---|---|---| +| cpu | 832 | 80 | 416 | 3.53 | 8.81 | 59.9% | +| fargate | 832 | 80 | 416 | 0.218 | 0.542 | 59.7% | + +## multi-grouping, r = 8 + +124 RQEs on 3 streams; dropped: 0; sanity violations: 0. AutoSketch: 332 probes, 9 distinct (metric, config); measured benchmark 269 s at N = 1e+08 (paper rate 540 s). AutoSketch latency 490 ms; tightest feasible bound 490 ms. + +| weights | method | cost (unbounded) | CPU (vCPU) | GiB | latency (ms) | median latency (ms) | planning (s) | cost at AutoSketch's latency | +|---|---|---|---|---|---|---|---|---| +| cpu | ASAP | 0.242 | 0.242 | 1.06 | 557 | 24.6 | 0.917 | 0.344 | +| cpu | ASAP (no roll-ups) | 0.573 | 0.573 | 2.6 | 959 | 19.5 | 0.851 | 0.841 | +| cpu | PerQuery-CostAware | 2.04 | 2.04 | 4.69 | 959 | 19.5 | 0.453 | 2.33 | +| cpu | AutoSketch-Adapted | 12.3 | 12.3 | 4.52 | 490 | 4.9 | 269 | 12.3 | +| fargate | ASAP | 0.0145 | 0.245 | 1.03 | 557 | 24.6 | 1.02 | 0.0196 | +| fargate | ASAP (no roll-ups) | 0.0347 | 0.581 | 2.52 | 959 | 16.2 | 0.875 | 0.0476 | +| fargate | PerQuery-CostAware | 0.104 | 2.05 | 4.62 | 959 | 16.2 | 0.456 | 0.115 | +| fargate | AutoSketch-Adapted | 0.517 | 12.3 | 4.52 | 490 | 4.9 | 269 | 0.517 | + +Frontier points (latency ms, cost), by weights: + +- cpu, ASAP: (490, 0.344), (557, 0.242) +- cpu, ASAP (no roll-ups): (490, 0.841), (557, 0.613), (624, 0.606), (959, 0.573) +- cpu, PerQuery-CostAware: (490, 2.33), (557, 2.15), (624, 2.06), (959, 2.04) +- fargate, ASAP: (490, 0.0196), (557, 0.0145) +- fargate, ASAP (no roll-ups): (490, 0.0476), (557, 0.0364), (959, 0.0347) +- fargate, PerQuery-CostAware: (490, 0.115), (557, 0.108), (624, 0.104), (959, 0.104) + +Roll-up ablation (ASAP vs. ASAP without roll-ups): + +| weights | RQEs rolled up | deployments with | deployments without | cost with | cost without | saving | +|---|---|---|---|---|---|---| +| cpu | 104 | 5 | 26 | 0.242 | 0.573 | 57.8% | +| fargate | 104 | 5 | 26 | 0.0145 | 0.0347 | 58.2% | diff --git a/rqe-optimizer/results/autosketch-vs-asap-hydra/synthetic-templatesall-shared1-metrics16-tp95.json b/rqe-optimizer/results/autosketch-vs-asap-hydra/synthetic-templatesall-shared1-metrics16-tp95.json new file mode 100644 index 0000000..583392c --- /dev/null +++ b/rqe-optimizer/results/autosketch-vs-asap-hydra/synthetic-templatesall-shared1-metrics16-tp95.json @@ -0,0 +1,6253 @@ +{ + "autosketch": { + "benchmark_secs_paper_rate": 18240.0, + "distinct_probes": 304, + "probed_configs": [ + { + "distinct_keys": 10000.0, + "metric": "data_0", + "params": { + "cols": 1024, + "heap": 32, + "rows": 3 + }, + "sketch": "cms-heap-topk-fastpath-vector2d", + "tail_index": null, + "zipf_s": 1.1 + }, + { + "distinct_keys": 10000.0, + "metric": "data_0", + "params": { + "cols": 256, + "heap": 32, + "rows": 3 + }, + "sketch": "cms-heap-topk-fastpath-vector2d", + "tail_index": null, + "zipf_s": 1.1 + }, + { + "distinct_keys": 10000.0, + "metric": "data_0", + "params": { + "cols": 4096, + "heap": 32, + "rows": 5 + }, + "sketch": "cms-heap-topk-fastpath-vector2d", + "tail_index": null, + "zipf_s": 1.1 + }, + { + "distinct_keys": 0.0, + "metric": "data_0", + "params": { + "alpha": 0.01 + }, + "sketch": "dd", + "tail_index": 2.0, + "zipf_s": null + }, + { + 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newline at end of file diff --git a/rqe-optimizer/results/autosketch-vs-asap-hydra/synthetic-templatesall-shared8-tp95.json b/rqe-optimizer/results/autosketch-vs-asap-hydra/synthetic-templatesall-shared8-tp95.json new file mode 100644 index 0000000..48f6814 --- /dev/null +++ b/rqe-optimizer/results/autosketch-vs-asap-hydra/synthetic-templatesall-shared8-tp95.json @@ -0,0 +1,3373 @@ +{ + "autosketch": { + "benchmark_secs_paper_rate": 1140.0, + "distinct_probes": 19, + "probed_configs": [ + { + "distinct_keys": 10000.0, + "metric": "data", + "params": { + "cols": 1024, + "heap": 32, + "rows": 3 + }, + "sketch": "cms-heap-topk-fastpath-vector2d", + "tail_index": null, + "zipf_s": 1.1 + }, + { + "distinct_keys": 10000.0, + "metric": "data", + "params": { + "cols": 256, + "heap": 32, + "rows": 3 + }, + "sketch": "cms-heap-topk-fastpath-vector2d", + "tail_index": null, + "zipf_s": 1.1 + }, + { + "distinct_keys": 10000.0, + "metric": "data", + "params": { + "cols": 4096, + "heap": 32, + 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a/rqe-optimizer/results/autosketch-vs-asap-hydra/synthetic-templatesmultigroup-shared8-tp95.json b/rqe-optimizer/results/autosketch-vs-asap-hydra/synthetic-templatesmultigroup-shared8-tp95.json new file mode 100644 index 0000000..19260cd --- /dev/null +++ b/rqe-optimizer/results/autosketch-vs-asap-hydra/synthetic-templatesmultigroup-shared8-tp95.json @@ -0,0 +1,3271 @@ +{ + "autosketch": { + "benchmark_secs_paper_rate": 540.0, + "distinct_probes": 9, + "probed_configs": [ + { + "distinct_keys": 1000000.0, + "metric": "flows", + "params": { + "lg_k": 12 + }, + "sketch": "hll", + "tail_index": null, + "zipf_s": 0.0 + }, + { + "distinct_keys": 1000000.0, + "metric": "flows", + "params": { + "lg_k": 14 + }, + "sketch": "hll", + "tail_index": null, + "zipf_s": 0.0 + }, + { + "distinct_keys": 0.0, + "metric": "http", + "params": { + "alpha": 0.01 + }, + "sketch": "dd", + "tail_index": 2.0, + "zipf_s": null + }, + { + "distinct_keys": 0.0, + "metric": "http", + "params": { + "alpha": 0.02 + 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10-template mixed set; "all" adds the multi-grouping -# templates below. -TEMPLATE_SETS = ["dashboard", "classic", "all"] +# templates below; "multigroup" is the multi-grouping templates alone. +TEMPLATE_SETS = ["dashboard", "classic", "all", "multigroup"] # Workload grid (#777 section 6): for each of SYNTHETIC_TEMPLATE_SETS, the # default point, then each scaling dimension alone. One accuracy level, 95% in each family's metric # (the runner's p95). `shared` replicas read one metric (the sharing benefit); @@ -242,7 +242,7 @@ def rqe_entry(q, curves, curves_big, sat, sat_big, merge): "shared": [1, 8], "metrics": [1, 8, 16], } -SYNTHETIC_TEMPLATE_SETS = ["all", "classic"] +SYNTHETIC_TEMPLATE_SETS = ["all", "classic", "multigroup"] # Multi-grouping templates (sketch-bench docs/rqe_optimizer_hydra.md): two # metrics with an ordered label schema, each value read at several groupings @@ -295,9 +295,10 @@ def rqe_entry(q, curves, curves_big, sat, sat_big, merge): SCHEMA_MIN_COVERED_N = 1e3 -def all_subsets(metric): - """Every non-empty subset of `metric`'s labels, in schema order.""" - names = [label["name"] for label in SCHEMAS[metric]["labels"]] +def all_subsets(metric, names=None): + """Every non-empty subset of `names` (default: all of `metric`'s labels), + in schema order.""" + names = names or [label["name"] for label in SCHEMAS[metric]["labels"]] return [list(c) for n in range(1, len(names) + 1) for c in itertools.combinations(names, n)] @@ -311,8 +312,10 @@ def all_subsets(metric): (14, "distinct_users", "http", "user_id", "cardinality", [["region"], ["service"], ["region", "service"], ["service", "endpoint"]], 0.01), (15, "distinct_users", "http", "user_id", "cardinality", all_subsets("http"), 0.05), + # p99 latency GROUP BY CUBE(region, service, endpoint): every grouping of + # three labels, which one deployment at the finest serves by roll-ups. (16, "p99_latency", "http", "latency", "quantile", - [["service"], ["region", "service"], ["service", "status"]], None), + all_subsets("http", ["region", "service", "endpoint"]), None), # Negative control: every group, the smallest included. (17, "distinct_users", "http", "user_id", "cardinality", [["service", "endpoint"]], None), ] @@ -466,6 +469,8 @@ def add(query_id, stream, capability, rng, s, t, groups, keys=None): add(f"quantile_over_time_p{q}", "series/dist", "quantile", label(rng), s, interval, C) return out + if templates == "multigroup": + return schema_queries(interval, dataset, range_with_interval, seen, metric) assert templates in ("classic", "all"), templates quantiles = quantiles or SYNTHETIC_QUANTILES add("sum_by_job", "job/value", "sum", "1s", 1, 1, J) diff --git a/scripts/plot_autosketch_vs_asap_sla.py b/scripts/plot_autosketch_vs_asap_sla.py index 308d499..b6b80c0 100644 --- a/scripts/plot_autosketch_vs_asap_sla.py +++ b/scripts/plot_autosketch_vs_asap_sla.py @@ -46,7 +46,7 @@ def title(data): m = re.search(r"templates=(\w+)/shared=(\d+)(?:/metrics=(\d+))?", data["workload"]) if not m: return data["workload"] - name = {"classic": "mixed", "all": "mixed + multi-grouping"}.get(m.group(1), m.group(1)) + name = {"classic": "mixed", "all": "mixed + multi-grouping", "multigroup": "multi-grouping"}.get(m.group(1), m.group(1)) if m.group(3): return f"{name}, m = {m.group(3)}" if m.group(2) != "1": diff --git a/scripts/plot_autosketch_vs_asap_synthetic.py b/scripts/plot_autosketch_vs_asap_synthetic.py index e75bf47..25a5667 100644 --- a/scripts/plot_autosketch_vs_asap_synthetic.py +++ b/scripts/plot_autosketch_vs_asap_synthetic.py @@ -52,7 +52,7 @@ # Each template set's title (export_autosketch_eval_table.py's TEMPLATE_SETS). -TEMPLATE_TITLES = {"classic": "mixed", "all": "mixed + multi-grouping"} +TEMPLATE_TITLES = {"classic": "mixed", "all": "mixed + multi-grouping", "multigroup": "multi-grouping"} def point(data): diff --git a/scripts/test_export_autosketch_eval_table.py b/scripts/test_export_autosketch_eval_table.py index ac3a7ee..ba1445e 100644 --- a/scripts/test_export_autosketch_eval_table.py +++ b/scripts/test_export_autosketch_eval_table.py @@ -202,12 +202,14 @@ def test_all_is_classic_plus_the_schema_templates(self): every = synthetic_queries(templates="all", dataset="d") self.assertEqual(every[:len(classic)], classic) new = every[len(classic):] - # Per window (5m, 15m): 1 + 3 + 4 + 15 + 3 + 1 groupings. - self.assertEqual(len(new), 2 * 27) + # Per window (5m, 15m): 1 + 3 + 4 + 15 + 7 + 1 groupings. + self.assertEqual(len(new), 2 * 31) self.assertEqual({q["stream"] for q in new}, {"flows/src_ip", "http/user_id", "http/latency"}) self.assertEqual({q["range"] for q in new}, {"5m", "15m"}) self.assertTrue(all("grouping" not in q for q in classic)) + # "multigroup" is the schema templates alone. + self.assertEqual(synthetic_queries(templates="multigroup", dataset="d"), new) def test_schema_cardinalities_count_a_child_with_its_parent(self): self.assertEqual(grouping_cardinality("http", ["region"]), 4) @@ -243,6 +245,8 @@ def test_template_groupings_are_ordered_subsets_of_the_schema(self): groupings = {n: g for n, *_, g, _ in SCHEMA_TEMPLATES} self.assertEqual(len(groupings[15]), 15) self.assertEqual(groupings[17], [["service", "endpoint"]]) + # Template 16 is CUBE(region, service, endpoint). + self.assertEqual(len(groupings[16]), 7) def test_rqe_entries_name_grouping_coverage_and_shape(self): with tempfile.TemporaryDirectory() as out: @@ -259,7 +263,7 @@ def test_rqe_entries_name_grouping_coverage_and_shape(self): (0.8, 1_000_000)) self.assertIsNone(rqes["t17_distinct_users_by_service,endpoint/15m"] ["covers_share"]) - kll, dd = rqes["t16_p99_latency_by_service,status/5m"]["families"] + kll, dd = rqes["t16_p99_latency_by_region,service,endpoint/5m"]["families"] self.assertEqual((kll["grid_param"], kll["grid_K"]), (COST_PARETO_ALPHA, None)) self.assertEqual(rqes["t11_distinct_src_by_dst_subnet/5m"]["covers_share"], 0.05) self.assertEqual((r["covered_groups"], r["min_covered_share"], r["max_covered_share"],