From 82157be98b3a1832087c9028ad70b24f4a794ab6 Mon Sep 17 00:00:00 2001 From: Vsevolod Strukchinsky Date: Wed, 11 Nov 2026 17:48:54 +0500 Subject: [PATCH 1/2] Add options that tune s3fifo to a workload WithSmallRatio, WithGhostRatio, WithPromotionReads and WithGhostReturns change the numbers that the S3-FIFO paper recommends: the share of the small queue, the number of ghosts, the reads that it takes to move up from the small queue, and the times a ghost has to come back before its key goes straight to the main queue. A cache that is given none of them does exactly what it did before. For the last of them a set of ghosts can count how often each one was asked for (ghost.InitCounting, ghost.Recall), at a byte per ghost. A set that does not count is as it was. bench/cmd/tune replays the traces, or a recording of one's own, with 84 settings and reports what each is worth; `make bench-tuning` writes bench/results/tuning.md. On the eleven traces the standard setting answers 44.77% of the requests on average, the best single setting 46.55%, and the best setting for each trace 47.75%. Co-Authored-By: Claude --- Makefile | 6 + README.md | 6 +- bench/README.md | 25 +- bench/cmd/tune/main.go | 459 +++ bench/cmd/tune/main_test.go | 262 ++ bench/results/tuning.csv | 7393 ++++++++++++++++++++++++++++++++++ bench/results/tuning.md | 205 + internal/ghost/ghost.go | 40 +- internal/ghost/ghost_test.go | 122 +- s3fifo/example_test.go | 23 + s3fifo/s3fifo.go | 147 +- s3fifo/s3fifo_test.go | 310 +- s3fifo/shards_test.go | 91 + 13 files changed, 9037 insertions(+), 52 deletions(-) create mode 100644 bench/cmd/tune/main.go create mode 100644 bench/cmd/tune/main_test.go create mode 100644 bench/results/tuning.csv create mode 100644 bench/results/tuning.md diff --git a/Makefile b/Makefile index d02cba9..3bf19e5 100644 --- a/Makefile +++ b/Makefile @@ -60,6 +60,12 @@ bench-throughput: ## Measure throughput on CPUS (default 1,2,4,8) CPUs, COUNT (d bench-memory: ## Measure memory per entry and the cost to the garbage collector, for caches of CAPACITIES entries. cd bench && $(GO) run ./cmd/memory -capacities $(CAPACITIES) -out results > /dev/null +# Not part of bench: it takes half an hour, and what it reports changes only +# when s3fifo does. +.PHONY: bench-tuning +bench-tuning: ## Replay the traces against s3fifo with 84 settings, to see what tuning it is worth. + cd bench && $(GO) run ./cmd/tune -out results + .PHONY: help help: ## Show this help. @awk 'BEGIN {FS = ":.*## "} /^[a-zA-Z_-]+:.*## / {printf " %-18s %s\n", $$1, $$2}' $(MAKEFILE_LIST) diff --git a/README.md b/README.md index 8116471..31e425c 100644 --- a/README.md +++ b/README.md @@ -75,8 +75,10 @@ The four packages have the same methods, which are also the interface | `Clear()` | Removes every entry. | | `All()` | Iterates over the entries. | -`New` takes options. All four packages have `WithShards`; `twoq` also has `WithRecentRatio` -and `WithGhostRatio` for the sizes of its queues. +`New` takes options. All four packages have `WithShards`. `twoq` has `WithRecentRatio` and +`WithGhostRatio` for the sizes of its queues, and `s3fifo` has `WithSmallRatio`, +`WithGhostRatio`, `WithPromotionReads` and `WithGhostReturns` for tuning it to a workload +that is known; see [what that is worth](bench/results/tuning.md). ## Choosing a policy diff --git a/bench/README.md b/bench/README.md index 3b380c5..fe5011b 100644 --- a/bench/README.md +++ b/bench/README.md @@ -11,6 +11,10 @@ Three questions about a cache, three benchmarks: `make bench` runs all of them. The targets are in the Makefile at the root of the repository; each is a `go` command that can just as well be run from this directory. +A fourth question is only about `evict/s3fifo`: what would it answer with other numbers +for its queues? `make bench-tuning` replays the traces with 84 settings and writes +[results/tuning.md](results/tuning.md); see [Tuning S3-FIFO](#tuning-s3-fifo) below. + The benchmarks are a Go module of their own, so that the caches do not depend on the libraries they are compared with. @@ -103,6 +107,25 @@ are reported with their range. `-caches evict/sieve,evict/sieve@16,evict/sieve@256` puts caches with a number of shards of one's choosing next to each other. +### Tuning S3-FIFO + +`evict/s3fifo` has four options that change the numbers of the paper: the share of the +small queue, the number of ghosts, the reads that it takes to move up from the small queue, +and the times a ghost has to come back. `go run ./cmd/tune` replays every trace with each of +84 combinations of them, in one piece, and reports what the cache answers as it is, with +the one setting that is best for all traces, and with the setting that is best for each. + +To find the setting for a workload of your own, record its keys and replay the recording: + +``` +go run ./cmd/tune -trace requests.txt -format lirs -capacities 10000,100000 -out tuned +``` + +A recording in the format `lirs` is a text file with a number for every request, one per +line; hash your keys to numbers if they are something else. The other formats are those of +the published traces: `arc`, `oraclegeneral` and `bigendian`. The file may be compressed +with gzip, zstd or xz. The report names the options to pass to `s3fifo.New`. + ## Throughput `go test -bench . -cpu 1,2,4,8` runs [throughput_test.go](throughput_test.go). Every @@ -177,6 +200,6 @@ which does: it is given as the least and the most of seven collections. | `caches/` | The caches under one interface. | | `replay/` | The replay of a trace against a cache, and the optimal cache. | | `report/` | The tables and the charts. | -| `cmd/hitratio`, `cmd/memory`, `cmd/benchtable` | The commands. | +| `cmd/hitratio`, `cmd/tune`, `cmd/memory`, `cmd/benchtable` | The commands. | | `throughput_test.go` | The throughput benchmarks. | | `results/` | What the benchmarks measured the last time they were run for this repository. | diff --git a/bench/cmd/tune/main.go b/bench/cmd/tune/main.go new file mode 100644 index 0000000..a95872a --- /dev/null +++ b/bench/cmd/tune/main.go @@ -0,0 +1,459 @@ +// Command tune replays traces against evict/s3fifo with one setting after the +// other and reports which of them serves each trace best. +// +// S3-FIFO runs its queues by the numbers that its paper recommends, and the +// options of package s3fifo change them. What the right numbers are depends on +// the workload. This command finds them for a recording of one: +// +// go run ./cmd/tune -trace requests.txt -format lirs -capacities 1000,10000 +// +// Without -trace it goes through the traces that the benchmarks replay. +package main + +import ( + "bufio" + "cmp" + "compress/gzip" + "context" + "errors" + "flag" + "fmt" + "io" + "os" + "os/signal" + "path/filepath" + "runtime" + "slices" + "strconv" + "strings" + "sync" + "time" + + "github.com/klauspost/compress/zstd" + "github.com/ulikunitz/xz" + + "github.com/floatdrop/evict/bench/dataset" + "github.com/floatdrop/evict/bench/replay" + "github.com/floatdrop/evict/bench/report" + "github.com/floatdrop/evict/bench/trace" + "github.com/floatdrop/evict/s3fifo" +) + +func main() { + ctx, stop := signal.NotifyContext(context.Background(), os.Interrupt) + // The first interrupt asks the replays to wind down; a second one ends + // the program on the spot. + go func() { + <-ctx.Done() + stop() + }() + + err := run(ctx, os.Args[1:]) + stop() + if err != nil { + fmt.Fprintln(os.Stderr, "tune:", err) + os.Exit(1) + } +} + +// A setting is a way of setting up an S3-FIFO cache. +type setting struct { + small float64 // share of the capacity for the small queue + ghosts float64 // ghosts as a share of the capacity + promotion int // reads in the small queue that move an entry up + returns int // times a ghost has to come back to go to the main queue +} + +// standard is the cache as the paper has it and as New makes it. +var standard = setting{small: 0.1, ghosts: 0.9, promotion: 2, returns: 1} + +func (s setting) String() string { + return fmt.Sprintf("small %s, ghosts %s, promotion %d, returns %d", + strconv.FormatFloat(s.small, 'g', -1, 64), strconv.FormatFloat(s.ghosts, 'g', -1, 64), s.promotion, s.returns) +} + +// cache returns a cache with the setting, in one piece: what is compared is +// the policy. +func (s setting) cache(capacity int) tuned { + return tuned{s3fifo.New[uint64, uint64](capacity, + s3fifo.WithShards(1), + s3fifo.WithSmallRatio(s.small), + s3fifo.WithGhostRatio(s.ghosts), + s3fifo.WithPromotionReads(s.promotion), + s3fifo.WithGhostReturns(s.returns), + )} +} + +type tuned struct{ c *s3fifo.Cache[uint64, uint64] } + +func (t tuned) Get(key uint64) (uint64, bool) { return t.c.Get(key) } +func (t tuned) Set(key, value uint64) { t.c.Set(key, value) } + +// grid returns the settings that are tried, the standard one first. They are +// the values that the S4-FIFO paper lets the same knobs take, less its skip +// region, which this cache does not have. Where two settings do equally +// well, the one that comes first here is reported: the standard one before +// all others, and fewer ghosts, which cost memory, before more. +func grid() []setting { + settings := []setting{standard} + for _, ghosts := range []float64{0.9, 3, 6} { + for _, returns := range []int{1, 2} { + for _, promotion := range []int{2, 1} { + for _, small := range []float64{0.1, 0.05, 0.2, 0.3, 0.5, 0.7, 0.9} { + if s := (setting{small, ghosts, promotion, returns}); s != standard { + settings = append(settings, s) + } + } + } + } + } + return settings +} + +// A workload is a trace to tune for, and the capacities to tune at. +type workload struct { + name, title string + capacities []int + load func(ctx context.Context) ([]uint64, error) +} + +// A result has what every setting answered of a workload: hits[i][j] is the +// number of requests that setting j answered at capacity i. +type result struct { + workload + requests int + hits [][]int +} + +// catalog returns the datasets there are to choose from. The tests have +// their own. +var catalog = dataset.All + +func run(ctx context.Context, args []string) error { + defaultDir := filepath.Join(os.TempDir(), "evict-bench") + if dir, err := os.UserCacheDir(); err == nil { + defaultDir = filepath.Join(dir, "evict-bench") + } + + flags := flag.NewFlagSet("tune", flag.ContinueOnError) + var ( + datasetNames = flags.String("datasets", "all", "comma-separated `names` of the datasets to tune for, as hitratio -list has them") + file = flags.String("trace", "", "`file` with a recording of requests to tune for, instead of the datasets; it may be compressed (.gz, .zst, .xz)") + format = flags.String("format", "lirs", "format of -trace: lirs (a number per line), arc, oraclegeneral or bigendian") + capacities = flags.String("capacities", "", "comma-separated cache `sizes` to tune at; needed with -trace") + dir = flags.String("dir", defaultDir, "`directory` to keep the downloaded traces in") + out = flags.String("out", "results", "`directory` to write the report to") + parallel = flags.Int("parallel", min(runtime.GOMAXPROCS(0), 8), "`number` of replays to run at the same time; every one of them holds a cache in memory, of up to 170 bytes for every entry") + ) + if err := flags.Parse(args); err != nil { + if errors.Is(err, flag.ErrHelp) { + return nil + } + return err + } + + var workloads []workload + if *file != "" { + w, err := recording(*file, *format, *capacities) + if err != nil { + return err + } + workloads = []workload{w} + } else { + if *capacities != "" { + return errors.New("-capacities goes with -trace; the datasets have their own") + } + all := catalog() + for _, d := range all { + if *datasetNames != "all" && !slices.Contains(strings.Split(*datasetNames, ","), d.Name) { + continue + } + workloads = append(workloads, workload{ + name: d.Name, title: d.Title, capacities: d.Capacities, + load: func(ctx context.Context) ([]uint64, error) { + if err := d.Fetch(ctx, *dir); err != nil { + return nil, err + } + return d.Load(ctx, *dir) + }, + }) + } + if *datasetNames != "all" { + for name := range strings.SplitSeq(*datasetNames, ",") { + if !slices.ContainsFunc(all, func(d dataset.Dataset) bool { return d.Name == name }) { + return fmt.Errorf("there is no dataset %q; see hitratio -list", name) + } + } + } + } + + // Whatever might go wrong with the report had better go wrong before + // the replays, which take a while. + if err := os.MkdirAll(*out, 0o750); err != nil { + return err + } + + settings := grid() + var results []result + for _, w := range workloads { + r, err := tune(ctx, w, settings, max(*parallel, 1)) + if err != nil { + return err + } + results = append(results, r) + } + + command := "go run ./cmd/tune " + strings.Join(args, " ") + if err := writeFile(filepath.Join(*out, "tuning.md"), func(w io.Writer) error { + return markdown(w, strings.TrimSpace(command), settings, results) + }); err != nil { + return err + } + return writeFile(filepath.Join(*out, "tuning.csv"), func(w io.Writer) error { + return csv(w, settings, results) + }) +} + +// recording returns the workload that is a file of requests. +func recording(file, format, capacities string) (workload, error) { + formats := map[string]trace.Format{ + "lirs": trace.LIRS, "arc": trace.ARC, "oraclegeneral": trace.OracleGeneral, "bigendian": trace.BigEndian, + } + f, ok := formats[strings.ToLower(format)] + if !ok { + return workload{}, fmt.Errorf("there is no format %q; it is lirs, arc, oraclegeneral or bigendian", format) + } + if capacities == "" { + return workload{}, errors.New("-trace needs -capacities: the cache sizes to tune at") + } + var sizes []int + for field := range strings.SplitSeq(capacities, ",") { + n, err := strconv.Atoi(strings.TrimSpace(field)) + if err != nil || n < 1 { + return workload{}, fmt.Errorf("-capacities has %q, want sizes of one entry or more", field) + } + sizes = append(sizes, n) + } + slices.Sort(sizes) + sizes = slices.Compact(sizes) + + name := filepath.Base(file) + return workload{name: name, title: name, capacities: sizes, load: func(context.Context) ([]uint64, error) { + in, err := os.Open(file) + if err != nil { + return nil, err + } + defer in.Close() //nolint:errcheck // The file is only read. + + var r io.Reader = bufio.NewReaderSize(in, 1<<20) + switch strings.ToLower(filepath.Ext(file)) { + case ".gz": + r, err = gzip.NewReader(r) + case ".zst": + var z *zstd.Decoder + if z, err = zstd.NewReader(r); err == nil { + defer z.Close() + r = z + } + case ".xz": + r, err = xz.NewReader(r) + } + if err != nil { + return nil, fmt.Errorf("%s: %w", file, err) + } + keys, err := trace.Read(r, f) + if err != nil { + return nil, fmt.Errorf("%s: %w", file, err) + } + return keys, nil + }}, nil +} + +// tune replays the workload against a cache with every setting at every +// capacity. +func tune(ctx context.Context, w workload, settings []setting, parallel int) (result, error) { + start := time.Now() + fmt.Fprintf(os.Stderr, "%s: loading\n", w.name) + keys, err := w.load(ctx) + if err != nil { + return result{}, err + } + if len(keys) == 0 { + return result{}, fmt.Errorf("%s holds no requests", w.name) + } + fmt.Fprintf(os.Stderr, "%s: %s requests, loaded in %s\n", w.name, report.Thousands(len(keys)), time.Since(start).Round(time.Millisecond)) + + r := result{workload: w, requests: len(keys), hits: make([][]int, len(w.capacities))} + var wg sync.WaitGroup + slots := make(chan struct{}, parallel) + for i, capacity := range w.capacities { + r.hits[i] = make([]int, len(settings)) + for j, s := range settings { + wg.Go(func() { + slots <- struct{}{} + defer func() { <-slots }() + if ctx.Err() != nil { + return + } + r.hits[i][j] = replay.Hits(s.cache(capacity), keys) + }) + } + } + wg.Wait() + if err := ctx.Err(); err != nil { + return result{}, err + } + fmt.Fprintf(os.Stderr, "%s: %d settings at %d capacities in %s\n", w.name, len(settings), len(w.capacities), time.Since(start).Round(time.Second)) + return r, nil +} + +// total returns what setting j answered of the workload at all capacities +// together: the settings compare by it as they do by their average hit ratio. +func (r result) total(j int) int { + sum := 0 + for i := range r.hits { + sum += r.hits[i][j] + } + return sum +} + +// best returns the setting that answered the most at all capacities together. +func (r result) best() int { + return firstMax(len(r.hits[0]), r.total) +} + +// bestAt returns the setting that answered the most at capacity i. +func (r result) bestAt(i int) int { + return firstMax(len(r.hits[i]), func(j int) int { return r.hits[i][j] }) +} + +// percent returns hits, summed over as many capacities as given, as the +// average hit ratio in percent. +func (r result) percent(hits, capacities int) float64 { + return 100 * float64(hits) / float64(r.requests*capacities) +} + +// firstMax returns the first of n indices at which score is the highest. +func firstMax[T cmp.Ordered](n int, score func(int) T) int { + best := 0 + for j := 1; j < n; j++ { + if score(j) > score(best) { + best = j + } + } + return best +} + +// forAll returns the one setting that does best on all workloads: the one +// with the highest hit ratio on average, every workload counting the same. +func forAll(results []result) int { + return firstMax(len(results[0].hits[0]), func(j int) float64 { + sum := 0.0 + for _, r := range results { + sum += r.percent(r.total(j), len(r.capacities)) + } + return sum + }) +} + +func markdown(w io.Writer, command string, settings []setting, results []result) error { + var b strings.Builder + fmt.Fprintf(&b, `# Tuning S3-FIFO + +What `+"`evict/s3fifo`"+` answers of a trace as it is, and what it would answer with other +numbers for its queues. The cache is as the S3-FIFO paper has it unless its options say +otherwise: a tenth of the room for the small queue, nine tenths as many ghosts as entries, +two reads to move up from the small queue, and a ghost that goes to the main queue the +first time it comes back. Here it is replayed with %d settings: the small queue at 5%%, 10%%, +20%%, 30%%, 50%%, 70%% and 90%% of the capacity, 0.9, 3 and 6 times as many ghosts as entries, +one or two reads to move up, and one or two returns of a ghost. + +The caches are in one piece. A setting is written as the options that make it: +`+"`small`"+` is WithSmallRatio, `+"`ghosts`"+` WithGhostRatio, `+"`promotion`"+` WithPromotionReads and +`+"`returns`"+` WithGhostReturns. Where settings do equally well, the standard one is named +before the others, and one with fewer ghosts before one with more: a ghost takes about +sixteen bytes. + +Produced by `+"`%s`"+` with %s. + +## At a glance + +The hit ratio in percent, averaged over the capacities at which a trace was replayed. + +`, len(settings), command, runtime.Version()) + + one := forAll(results) + several := len(results) > 1 + b.WriteString("| trace | as it is |") + if several { + b.WriteString(" one setting for all |") + } + b.WriteString(" best setting for the trace | best setting for each capacity | the best setting for the trace is |\n|:---|---:|") + if several { + b.WriteString("---:|") + } + b.WriteString("---:|---:|:---|\n") + + var sums [4]float64 + for _, r := range results { + n := len(r.capacities) + best := r.best() + each := 0 + for i := range r.hits { + each += r.hits[i][r.bestAt(i)] + } + cols := [4]float64{r.percent(r.total(0), n), r.percent(r.total(one), n), r.percent(r.total(best), n), r.percent(each, n)} + for k, v := range cols { + sums[k] += v + } + fmt.Fprintf(&b, "| %s | %.2f |", r.title, cols[0]) + if several { + fmt.Fprintf(&b, " %.2f |", cols[1]) + } + fmt.Fprintf(&b, " %.2f | %.2f | %s |\n", cols[2], cols[3], settings[best]) + } + if several { + n := float64(len(results)) + fmt.Fprintf(&b, "| **mean** | %.2f | %.2f | %.2f | %.2f | |\n", sums[0]/n, sums[1]/n, sums[2]/n, sums[3]/n) + fmt.Fprintf(&b, "\nThe one setting that does best for all of these traces together is: %s.\n", settings[one]) + } + + b.WriteString("\n## Trace by trace\n") + for _, r := range results { + fmt.Fprintf(&b, "\n### %s\n\n%s requests.\n\n", r.title, report.Thousands(r.requests)) + b.WriteString("| capacity | as it is | best | with |\n|---:|---:|---:|:---|\n") + for i, capacity := range r.capacities { + best := r.bestAt(i) + fmt.Fprintf(&b, "| %s | %.2f | %.2f | %s |\n", report.Thousands(capacity), + r.percent(r.hits[i][0], 1), r.percent(r.hits[i][best], 1), settings[best]) + } + } + + _, err := io.WriteString(w, b.String()) + return err +} + +func csv(w io.Writer, settings []setting, results []result) error { + var b strings.Builder + b.WriteString("dataset,capacity,small_ratio,ghost_ratio,promotion_reads,ghost_returns,requests,hits\n") + for _, r := range results { + for i, capacity := range r.capacities { + for j, s := range settings { + fmt.Fprintf(&b, "%s,%d,%s,%s,%d,%d,%d,%d\n", r.name, capacity, + strconv.FormatFloat(s.small, 'g', -1, 64), strconv.FormatFloat(s.ghosts, 'g', -1, 64), + s.promotion, s.returns, r.requests, r.hits[i][j]) + } + } + } + _, err := io.WriteString(w, b.String()) + return err +} + +func writeFile(name string, write func(io.Writer) error) (err error) { + f, err := os.Create(name) + if err != nil { + return err + } + defer func() { err = errors.Join(err, f.Close()) }() + return write(f) +} diff --git a/bench/cmd/tune/main_test.go b/bench/cmd/tune/main_test.go new file mode 100644 index 0000000..a90fb9b --- /dev/null +++ b/bench/cmd/tune/main_test.go @@ -0,0 +1,262 @@ +package main + +import ( + "fmt" + "os" + "path/filepath" + "strconv" + "strings" + "testing" + + "github.com/floatdrop/evict/bench/caches" + "github.com/floatdrop/evict/bench/dataset" + "github.com/floatdrop/evict/bench/replay" + "github.com/floatdrop/evict/bench/trace" +) + +// requests is the trace that the tests tune for: short, so that eighty-odd +// settings are replayed in no time, and with a skew, so that they differ. +func requests() []uint64 { return trace.Zipf(40_000, 1.0001, 10, 20_000) } + +// The tests replay traces that are made up on the spot, so that they need no +// download. +func TestMain(m *testing.M) { + catalog = func() []dataset.Dataset { + return []dataset.Dataset{ + dataset.Generated("small", "Small", "a few requests with a skew", "made up", []int{100, 1000}, requests), + dataset.Generated("loop", "Loop", "the same keys over and over", "made up", []int{50, 200}, func() []uint64 { + keys := make([]uint64, 30_000) + for i := range keys { + keys[i] = uint64(i % 300) + } + return keys + }), + } + } + os.Exit(m.Run()) +} + +func read(t *testing.T, dir, name string) string { + t.Helper() + data, err := os.ReadFile(filepath.Join(dir, name)) + if err != nil { + t.Fatal(err) + } + return string(data) +} + +func TestGrid(t *testing.T) { + t.Parallel() + + settings := grid() + if len(settings) != 7*3*2*2 { + t.Fatalf("the grid has %d settings, want %d", len(settings), 7*3*2*2) + } + if settings[0] != standard { + t.Errorf("the grid begins with %v, want the standard setting", settings[0]) + } + seen := map[setting]bool{} + for i, s := range settings { + if seen[s] { + t.Errorf("the setting %v is in the grid twice", s) + } + seen[s] = true + // Fewer ghosts come before more, so that they win a tie. + if i > 0 && s.ghosts < settings[i-1].ghosts { + t.Errorf("%v comes after %v", s, settings[i-1]) + } + } + if got, want := standard.String(), "small 0.1, ghosts 0.9, promotion 2, returns 1"; got != want { + t.Errorf("the standard setting is written %q, want %q", got, want) + } +} + +// TestStandardSetting checks that the first setting of the grid is the cache +// as New makes it: what the report calls "as it is". +func TestStandardSetting(t *testing.T) { + t.Parallel() + + keys := requests() + plain, _ := caches.Find[uint64, uint64]("evict/s3fifo") + for _, capacity := range []int{10, 100, 1000} { + if got, want := replay.Hits(standard.cache(capacity), keys), replay.Hits(plain.Exact(capacity), keys); got != want { + t.Errorf("capacity %d: the standard setting answers %d requests, the cache as it is %d", capacity, got, want) + } + } + // And the others are not: they are told apart by what they answer. + different := 0 + for _, s := range grid()[1:] { + if replay.Hits(s.cache(100), keys) != replay.Hits(standard.cache(100), keys) { + different++ + } + } + if different < len(grid())/2 { + t.Errorf("only %d of %d settings answer the trace differently from the standard one", different, len(grid())-1) + } +} + +func TestRun(t *testing.T) { + t.Parallel() + + dir := t.TempDir() + if err := run(t.Context(), []string{"-out", dir}); err != nil { + t.Fatal(err) + } + + // Every setting at every capacity of every trace is in the CSV, and the + // first one of each is the cache as it is. + csv := strings.Split(strings.TrimSpace(read(t, dir, "tuning.csv")), "\n") + if csv[0] != "dataset,capacity,small_ratio,ghost_ratio,promotion_reads,ghost_returns,requests,hits" { + t.Errorf("tuning.csv begins with %q", csv[0]) + } + if got, want := len(csv)-1, 2*2*len(grid()); got != want { + t.Fatalf("tuning.csv has %d rows, want %d", got, want) + } + keys := requests() + plain, _ := caches.Find[uint64, uint64]("evict/s3fifo") + best := map[string]int{} + for _, line := range csv[1:] { + f := strings.Split(line, ",") + hits, err := strconv.Atoi(f[7]) + if err != nil { + t.Fatal(line) + } + if f[0] == "small" && f[2] == "0.1" && f[3] == "0.9" && f[4] == "2" && f[5] == "1" { + capacity, _ := strconv.Atoi(f[1]) + if want := replay.Hits(plain.Exact(capacity), keys); hits != want || f[6] != "40000" { + t.Errorf("%s: want %d hits of 40000 requests", line, want) + } + } + best[f[0]+"@"+f[1]] = max(best[f[0]+"@"+f[1]], hits) + } + + md := read(t, dir, "tuning.md") + for _, want := range []string{ + "# Tuning S3-FIFO\n", + "with 84 settings", + "Produced by `go run ./cmd/tune -out " + dir + "` with go", + "| trace | as it is | one setting for all | best setting for the trace | best setting for each capacity | the best setting for the trace is |\n", + "\n| Small | ", "\n| Loop | ", "\n| **mean** | ", + "\nThe one setting that does best for all of these traces together is: small ", + "\n### Small\n\n40,000 requests.\n\n| capacity | as it is | best | with |\n", + "\n### Loop\n\n30,000 requests.\n", + } { + if !strings.Contains(md, want) { + t.Errorf("tuning.md lacks %q:\n%s", want, md) + } + } + // The best of a capacity in the report is the best in the CSV. + for at, hits := range best { + name, capacity, _ := strings.Cut(at, "@") + requests := map[string]int{"small": 40_000, "loop": 30_000}[name] + n, _ := strconv.Atoi(capacity) + cell := fmt.Sprintf("| %s | ", thousands(n)) + want := fmt.Sprintf(" | %.2f | small ", 100*float64(hits)/float64(requests)) + found := false + for line := range strings.Lines(md) { + found = found || strings.HasPrefix(line, cell) && strings.Contains(line, want) + } + if !found { + t.Errorf("tuning.md has no row for %s with the best hit ratio%s", at, want) + } + } + + // The settings are there to be told apart: on a loop that is larger than + // the cache, the standard one is not the best. + _, loop, _ := strings.Cut(md, "\n### Loop") + if strings.Count(loop, standard.String()) == 2 { + t.Errorf("the standard setting is the best for a loop at both capacities:\n%s", loop) + } +} + +func thousands(n int) string { + s := strconv.Itoa(n) + if len(s) > 3 { + s = s[:len(s)-3] + "," + s[len(s)-3:] + } + return s +} + +// TestRecording tunes for a file of requests, plain and compressed. +func TestRecording(t *testing.T) { + t.Parallel() + + var b strings.Builder + for _, key := range requests() { + fmt.Fprintln(&b, key) + } + dir := t.TempDir() + file := filepath.Join(dir, "requests.txt") + if err := os.WriteFile(file, []byte(b.String()), 0o600); err != nil { + t.Fatal(err) + } + + out := filepath.Join(dir, "out") + if err := run(t.Context(), []string{"-trace", file, "-capacities", "1000, 100,100", "-out", out}); err != nil { + t.Fatal(err) + } + md := read(t, out, "tuning.md") + for _, want := range []string{ + "| trace | as it is | best setting for the trace | best setting for each capacity | the best setting for the trace is |\n", + "\n| requests.txt | ", + "\n### requests.txt\n\n40,000 requests.\n", + "\n| 100 | ", "\n| 1,000 | ", + } { + if !strings.Contains(md, want) { + t.Errorf("tuning.md lacks %q:\n%s", want, md) + } + } + if strings.Contains(md, "one setting for all") || strings.Contains(md, "**mean**") { + t.Errorf("the report on one trace compares it with others:\n%s", md) + } + if rows := strings.Count(read(t, out, "tuning.csv"), "\n"); rows != 1+2*len(grid()) { + t.Errorf("tuning.csv has %d lines, want a header and %d rows", rows, 2*len(grid())) + } + + // The same answers as from the generated trace. + first := read(t, out, "tuning.csv") + other := filepath.Join(dir, "datasets") + if err := run(t.Context(), []string{"-datasets", "small", "-out", other}); err != nil { + t.Fatal(err) + } + if got := strings.ReplaceAll(read(t, other, "tuning.csv"), "small,", "requests.txt,"); got != first { + t.Errorf("a trace from a file is tuned for differently than the same trace made up:\n%.300s\n%.300s", first, got) + } +} + +func TestRunErrors(t *testing.T) { + t.Parallel() + + dir := t.TempDir() + file := filepath.Join(dir, "requests.txt") + if err := os.WriteFile(file, []byte("1\n2\n1\n"), 0o600); err != nil { + t.Fatal(err) + } + empty := filepath.Join(dir, "empty.txt") + if err := os.WriteFile(empty, nil, 0o600); err != nil { + t.Fatal(err) + } + + for _, tt := range []struct { + args []string + want string + }{ + {[]string{"-datasets", "nothing"}, `there is no dataset "nothing"`}, + {[]string{"-capacities", "10"}, "-capacities goes with -trace"}, + {[]string{"-trace", file}, "-trace needs -capacities"}, + {[]string{"-trace", file, "-capacities", "10", "-format", "csv"}, `there is no format "csv"`}, + {[]string{"-trace", file, "-capacities", "10,x"}, `-capacities has "x"`}, + {[]string{"-trace", file, "-capacities", "0"}, `-capacities has "0"`}, + {[]string{"-trace", filepath.Join(dir, "missing.txt"), "-capacities", "10"}, "no such file"}, + {[]string{"-trace", empty, "-capacities", "10"}, "holds no requests"}, + {[]string{"-no-such-flag"}, "flag provided but not defined"}, + } { + err := run(t.Context(), append(tt.args, "-out", filepath.Join(dir, "out"))) + if err == nil || !strings.Contains(err.Error(), tt.want) { + t.Errorf("run(%q) = %v, want an error with %q", tt.args, err, tt.want) + } + } + if err := run(t.Context(), []string{"-h"}); err != nil { + t.Errorf("run(-h) = %v", err) + } +} diff --git a/bench/results/tuning.csv b/bench/results/tuning.csv new file mode 100644 index 0000000..504b6db --- /dev/null +++ b/bench/results/tuning.csv @@ -0,0 +1,7393 @@ +dataset,capacity,small_ratio,ghost_ratio,promotion_reads,ghost_returns,requests,hits +zipf,500,0.1,0.9,2,1,1000000,244148 +zipf,500,0.05,0.9,2,1,1000000,247291 +zipf,500,0.2,0.9,2,1,1000000,237393 +zipf,500,0.3,0.9,2,1,1000000,229986 +zipf,500,0.5,0.9,2,1,1000000,211255 +zipf,500,0.7,0.9,2,1,1000000,184178 +zipf,500,0.9,0.9,2,1,1000000,135711 +zipf,500,0.1,0.9,1,1,1000000,244107 +zipf,500,0.05,0.9,1,1,1000000,247208 +zipf,500,0.2,0.9,1,1,1000000,237078 +zipf,500,0.3,0.9,1,1,1000000,229421 +zipf,500,0.5,0.9,1,1,1000000,209920 +zipf,500,0.7,0.9,1,1,1000000,181790 +zipf,500,0.9,0.9,1,1,1000000,133977 +zipf,500,0.1,0.9,2,2,1000000,226220 +zipf,500,0.05,0.9,2,2,1000000,227898 +zipf,500,0.2,0.9,2,2,1000000,224261 +zipf,500,0.3,0.9,2,2,1000000,220317 +zipf,500,0.5,0.9,2,2,1000000,207846 +zipf,500,0.7,0.9,2,2,1000000,190125 +zipf,500,0.9,0.9,2,2,1000000,146329 +zipf,500,0.1,0.9,1,2,1000000,241345 +zipf,500,0.05,0.9,1,2,1000000,240350 +zipf,500,0.2,0.9,1,2,1000000,238392 +zipf,500,0.3,0.9,1,2,1000000,231560 +zipf,500,0.5,0.9,1,2,1000000,213366 +zipf,500,0.7,0.9,1,2,1000000,186384 +zipf,500,0.9,0.9,1,2,1000000,140822 +zipf,500,0.1,3,2,1,1000000,240295 +zipf,500,0.05,3,2,1,1000000,243528 +zipf,500,0.2,3,2,1,1000000,233170 +zipf,500,0.3,3,2,1,1000000,225102 +zipf,500,0.5,3,2,1,1000000,205062 +zipf,500,0.7,3,2,1,1000000,175849 +zipf,500,0.9,3,2,1,1000000,125408 +zipf,500,0.1,3,1,1,1000000,240065 +zipf,500,0.05,3,1,1,1000000,243409 +zipf,500,0.2,3,1,1,1000000,232845 +zipf,500,0.3,3,1,1,1000000,224553 +zipf,500,0.5,3,1,1,1000000,204156 +zipf,500,0.7,3,1,1,1000000,174966 +zipf,500,0.9,3,1,1,1000000,126552 +zipf,500,0.1,3,2,2,1000000,246126 +zipf,500,0.05,3,2,2,1000000,248808 +zipf,500,0.2,3,2,2,1000000,239815 +zipf,500,0.3,3,2,2,1000000,232852 +zipf,500,0.5,3,2,2,1000000,215404 +zipf,500,0.7,3,2,2,1000000,189355 +zipf,500,0.9,3,2,2,1000000,142195 +zipf,500,0.1,3,1,2,1000000,246420 +zipf,500,0.05,3,1,2,1000000,249093 +zipf,500,0.2,3,1,2,1000000,239659 +zipf,500,0.3,3,1,2,1000000,232213 +zipf,500,0.5,3,1,2,1000000,212989 +zipf,500,0.7,3,1,2,1000000,185508 +zipf,500,0.9,3,1,2,1000000,138417 +zipf,500,0.1,6,2,1,1000000,235903 +zipf,500,0.05,6,2,1,1000000,239348 +zipf,500,0.2,6,2,1,1000000,228389 +zipf,500,0.3,6,2,1,1000000,220025 +zipf,500,0.5,6,2,1,1000000,199293 +zipf,500,0.7,6,2,1,1000000,169267 +zipf,500,0.9,6,2,1,1000000,119361 +zipf,500,0.1,6,1,1,1000000,235850 +zipf,500,0.05,6,1,1,1000000,239325 +zipf,500,0.2,6,1,1,1000000,228235 +zipf,500,0.3,6,1,1,1000000,219784 +zipf,500,0.5,6,1,1,1000000,198756 +zipf,500,0.7,6,1,1,1000000,169091 +zipf,500,0.9,6,1,1,1000000,121795 +zipf,500,0.1,6,2,2,1000000,246609 +zipf,500,0.05,6,2,2,1000000,249626 +zipf,500,0.2,6,2,2,1000000,239891 +zipf,500,0.3,6,2,2,1000000,232198 +zipf,500,0.5,6,2,2,1000000,213396 +zipf,500,0.7,6,2,2,1000000,185737 +zipf,500,0.9,6,2,2,1000000,136222 +zipf,500,0.1,6,1,2,1000000,246219 +zipf,500,0.05,6,1,2,1000000,249466 +zipf,500,0.2,6,1,2,1000000,239153 +zipf,500,0.3,6,1,2,1000000,231158 +zipf,500,0.5,6,1,2,1000000,211447 +zipf,500,0.7,6,1,2,1000000,183027 +zipf,500,0.9,6,1,2,1000000,134193 +zipf,1000,0.1,0.9,2,1,1000000,286980 +zipf,1000,0.05,0.9,2,1,1000000,289828 +zipf,1000,0.2,0.9,2,1,1000000,280625 +zipf,1000,0.3,0.9,2,1,1000000,273086 +zipf,1000,0.5,0.9,2,1,1000000,254868 +zipf,1000,0.7,0.9,2,1,1000000,227794 +zipf,1000,0.9,0.9,2,1,1000000,177814 +zipf,1000,0.1,0.9,1,1,1000000,286917 +zipf,1000,0.05,0.9,1,1,1000000,289906 +zipf,1000,0.2,0.9,1,1,1000000,280302 +zipf,1000,0.3,0.9,1,1,1000000,272469 +zipf,1000,0.5,0.9,1,1,1000000,253372 +zipf,1000,0.7,0.9,1,1,1000000,225485 +zipf,1000,0.9,0.9,1,1,1000000,176583 +zipf,1000,0.1,0.9,2,2,1000000,255796 +zipf,1000,0.05,0.9,2,2,1000000,258177 +zipf,1000,0.2,0.9,2,2,1000000,254314 +zipf,1000,0.3,0.9,2,2,1000000,252300 +zipf,1000,0.5,0.9,2,2,1000000,247113 +zipf,1000,0.7,0.9,2,2,1000000,232548 +zipf,1000,0.9,0.9,2,2,1000000,189106 +zipf,1000,0.1,0.9,1,2,1000000,278562 +zipf,1000,0.05,0.9,1,2,1000000,272807 +zipf,1000,0.2,0.9,1,2,1000000,278429 +zipf,1000,0.3,0.9,1,2,1000000,273424 +zipf,1000,0.5,0.9,1,2,1000000,256462 +zipf,1000,0.7,0.9,1,2,1000000,229814 +zipf,1000,0.9,0.9,1,2,1000000,183610 +zipf,1000,0.1,3,2,1,1000000,283432 +zipf,1000,0.05,3,2,1,1000000,286549 +zipf,1000,0.2,3,2,1,1000000,276343 +zipf,1000,0.3,3,2,1,1000000,268315 +zipf,1000,0.5,3,2,1,1000000,248483 +zipf,1000,0.7,3,2,1,1000000,219190 +zipf,1000,0.9,3,2,1,1000000,167342 +zipf,1000,0.1,3,1,1,1000000,283342 +zipf,1000,0.05,3,1,1,1000000,286555 +zipf,1000,0.2,3,1,1,1000000,275967 +zipf,1000,0.3,3,1,1,1000000,267745 +zipf,1000,0.5,3,1,1,1000000,247642 +zipf,1000,0.7,3,1,1,1000000,218369 +zipf,1000,0.9,3,1,1,1000000,168990 +zipf,1000,0.1,3,2,2,1000000,287143 +zipf,1000,0.05,3,2,2,1000000,289694 +zipf,1000,0.2,3,2,2,1000000,281536 +zipf,1000,0.3,3,2,2,1000000,275120 +zipf,1000,0.5,3,2,2,1000000,258323 +zipf,1000,0.7,3,2,2,1000000,232657 +zipf,1000,0.9,3,2,2,1000000,184375 +zipf,1000,0.1,3,1,2,1000000,287969 +zipf,1000,0.05,3,1,2,1000000,290280 +zipf,1000,0.2,3,1,2,1000000,282011 +zipf,1000,0.3,3,1,2,1000000,274782 +zipf,1000,0.5,3,1,2,1000000,256358 +zipf,1000,0.7,3,1,2,1000000,228917 +zipf,1000,0.9,3,1,2,1000000,180883 +zipf,1000,0.1,6,2,1,1000000,278894 +zipf,1000,0.05,6,2,1,1000000,282388 +zipf,1000,0.2,6,2,1,1000000,271561 +zipf,1000,0.3,6,2,1,1000000,263185 +zipf,1000,0.5,6,2,1,1000000,242752 +zipf,1000,0.7,6,2,1,1000000,212641 +zipf,1000,0.9,6,2,1,1000000,161893 +zipf,1000,0.1,6,1,1,1000000,278765 +zipf,1000,0.05,6,1,1,1000000,282308 +zipf,1000,0.2,6,1,1,1000000,271260 +zipf,1000,0.3,6,1,1,1000000,262898 +zipf,1000,0.5,6,1,1,1000000,242149 +zipf,1000,0.7,6,1,1,1000000,212522 +zipf,1000,0.9,6,1,1,1000000,164985 +zipf,1000,0.1,6,2,2,1000000,289080 +zipf,1000,0.05,6,2,2,1000000,292049 +zipf,1000,0.2,6,2,2,1000000,282774 +zipf,1000,0.3,6,2,2,1000000,275263 +zipf,1000,0.5,6,2,2,1000000,256628 +zipf,1000,0.7,6,2,2,1000000,228905 +zipf,1000,0.9,6,2,2,1000000,178220 +zipf,1000,0.1,6,1,2,1000000,288930 +zipf,1000,0.05,6,1,2,1000000,291969 +zipf,1000,0.2,6,1,2,1000000,282213 +zipf,1000,0.3,6,1,2,1000000,274237 +zipf,1000,0.5,6,1,2,1000000,254797 +zipf,1000,0.7,6,1,2,1000000,226334 +zipf,1000,0.9,6,1,2,1000000,176312 +zipf,2000,0.1,0.9,2,1,1000000,328825 +zipf,2000,0.05,0.9,2,1,1000000,331518 +zipf,2000,0.2,0.9,2,1,1000000,322685 +zipf,2000,0.3,0.9,2,1,1000000,315669 +zipf,2000,0.5,0.9,2,1,1000000,298188 +zipf,2000,0.7,0.9,2,1,1000000,271598 +zipf,2000,0.9,0.9,2,1,1000000,222058 +zipf,2000,0.1,0.9,1,1,1000000,328833 +zipf,2000,0.05,0.9,1,1,1000000,331497 +zipf,2000,0.2,0.9,1,1,1000000,322652 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The cache is as the S3-FIFO paper has it unless its options say +otherwise: a tenth of the room for the small queue, nine tenths as many ghosts as entries, +two reads to move up from the small queue, and a ghost that goes to the main queue the +first time it comes back. Here it is replayed with 84 settings: the small queue at 5%, 10%, +20%, 30%, 50%, 70% and 90% of the capacity, 0.9, 3 and 6 times as many ghosts as entries, +one or two reads to move up, and one or two returns of a ghost. + +The caches are in one piece. A setting is written as the options that make it: +`small` is WithSmallRatio, `ghosts` WithGhostRatio, `promotion` WithPromotionReads and +`returns` WithGhostReturns. Where settings do equally well, the standard one is named +before the others, and one with fewer ghosts before one with more: a ghost takes about +sixteen bytes. + +Produced by `go run ./cmd/tune -out results` with go1.27.3. + +## At a glance + +The hit ratio in percent, averaged over the capacities at which a trace was replayed. + +| trace | as it is | one setting for all | best setting for the trace | best setting for each capacity | the best setting for the trace is | +|:---|---:|---:|---:|---:|:---| +| Zipf | 38.25 | 37.86 | 38.79 | 39.03 | small 0.05, ghosts 3, promotion 1, returns 1 | +| S3 | 38.90 | 40.18 | 41.75 | 43.05 | small 0.05, ghosts 0.9, promotion 1, returns 2 | +| DS1 | 37.05 | 43.06 | 45.46 | 45.57 | small 0.05, ghosts 0.9, promotion 1, returns 2 | +| OLTP | 39.11 | 38.45 | 40.64 | 40.71 | small 0.2, ghosts 6, promotion 2, returns 2 | +| P8 | 35.31 | 35.99 | 37.11 | 37.62 | small 0.05, ghosts 0.9, promotion 2, returns 2 | +| Glimpse | 43.24 | 44.67 | 44.84 | 44.91 | small 0.05, ghosts 0.9, promotion 1, returns 2 | +| Mixed | 43.84 | 56.37 | 59.53 | 60.54 | small 0.1, ghosts 6, promotion 2, returns 1 | +| Scarab | 61.60 | 60.72 | 61.71 | 62.18 | small 0.2, ghosts 0.9, promotion 2, returns 1 | +| Twitter | 60.32 | 60.11 | 60.47 | 60.52 | small 0.1, ghosts 3, promotion 2, returns 1 | +| MSR | 67.22 | 67.14 | 67.23 | 67.42 | small 0.1, ghosts 0.9, promotion 1, returns 1 | +| CloudPhysics | 27.59 | 27.46 | 27.70 | 28.42 | small 0.05, ghosts 0.9, promotion 2, returns 1 | +| **mean** | 44.77 | 46.55 | 47.75 | 48.18 | | + +The one setting that does best for all of these traces together is: small 0.05, ghosts 3, promotion 2, returns 2. + +## Trace by trace + +### Zipf + +1,000,000 requests. + +| capacity | as it is | best | with | +|---:|---:|---:|:---| +| 500 | 24.41 | 24.96 | small 0.05, ghosts 6, promotion 2, returns 2 | +| 1,000 | 28.70 | 29.20 | small 0.05, ghosts 6, promotion 2, returns 2 | +| 2,000 | 32.88 | 33.39 | small 0.05, ghosts 6, promotion 1, returns 2 | +| 5,000 | 38.00 | 38.51 | small 0.05, ghosts 6, promotion 1, returns 2 | +| 10,000 | 41.39 | 42.15 | small 0.05, ghosts 3, promotion 1, returns 1 | +| 20,000 | 44.32 | 45.51 | small 0.05, ghosts 3, promotion 1, returns 1 | +| 40,000 | 46.90 | 48.30 | small 0.05, ghosts 6, promotion 1, returns 1 | +| 80,000 | 49.40 | 50.17 | small 0.05, ghosts 6, promotion 1, returns 1 | + +### S3 + +16,407,702 requests. + +| capacity | as it is | best | with | +|---:|---:|---:|:---| +| 100,000 | 12.34 | 12.86 | small 0.05, ghosts 0.9, promotion 1, returns 1 | +| 200,000 | 22.52 | 23.47 | small 0.05, ghosts 0.9, promotion 1, returns 1 | +| 300,000 | 29.81 | 31.53 | small 0.05, ghosts 0.9, promotion 2, returns 1 | +| 400,000 | 34.62 | 40.25 | small 0.05, ghosts 0.9, promotion 1, returns 2 | +| 500,000 | 41.42 | 49.31 | small 0.05, ghosts 0.9, promotion 1, returns 2 | +| 600,000 | 49.21 | 56.23 | small 0.05, ghosts 0.9, promotion 2, returns 2 | +| 700,000 | 56.97 | 62.50 | small 0.05, ghosts 0.9, promotion 1, returns 2 | +| 800,000 | 64.31 | 68.22 | small 0.05, ghosts 0.9, promotion 1, returns 2 | + +### DS1 + +43,704,979 requests. + +| capacity | as it is | best | with | +|---:|---:|---:|:---| +| 1,000,000 | 14.09 | 15.21 | small 0.05, ghosts 3, promotion 1, returns 2 | +| 2,000,000 | 25.32 | 27.83 | small 0.05, ghosts 0.9, promotion 1, returns 2 | +| 3,000,000 | 30.85 | 38.59 | small 0.05, ghosts 0.9, promotion 1, returns 2 | +| 4,000,000 | 31.96 | 43.87 | small 0.05, ghosts 0.9, promotion 1, returns 2 | +| 5,000,000 | 37.31 | 50.23 | small 0.05, ghosts 0.9, promotion 1, returns 2 | +| 6,000,000 | 40.03 | 56.51 | small 0.05, ghosts 0.9, promotion 1, returns 2 | +| 7,000,000 | 51.97 | 62.36 | small 0.05, ghosts 0.9, promotion 1, returns 2 | +| 8,000,000 | 64.91 | 69.98 | small 0.05, ghosts 0.9, promotion 1, returns 2 | + +### OLTP + +914,145 requests. + +| capacity | as it is | best | with | +|---:|---:|---:|:---| +| 250 | 21.65 | 26.30 | small 0.3, ghosts 3, promotion 2, returns 2 | +| 500 | 32.40 | 35.15 | small 0.3, ghosts 3, promotion 2, returns 2 | +| 750 | 37.70 | 39.29 | small 0.2, ghosts 6, promotion 2, returns 2 | +| 1,000 | 40.82 | 41.85 | small 0.2, ghosts 6, promotion 2, returns 2 | +| 1,250 | 42.91 | 43.73 | small 0.2, ghosts 6, promotion 2, returns 2 | +| 1,500 | 44.53 | 45.24 | small 0.2, ghosts 6, promotion 2, returns 2 | +| 1,750 | 45.88 | 46.51 | small 0.2, ghosts 6, promotion 2, returns 2 | +| 2,000 | 46.99 | 47.64 | small 0.2, ghosts 6, promotion 2, returns 2 | + +### P8 + +42,243,785 requests. + +| capacity | as it is | best | with | +|---:|---:|---:|:---| +| 10,000 | 12.29 | 13.18 | small 0.05, ghosts 3, promotion 2, returns 2 | +| 20,000 | 21.20 | 22.39 | small 0.05, ghosts 3, promotion 2, returns 2 | +| 30,000 | 28.23 | 30.47 | small 0.05, ghosts 0.9, promotion 2, returns 2 | +| 40,000 | 34.43 | 37.21 | small 0.05, ghosts 0.9, promotion 2, returns 2 | +| 50,000 | 39.62 | 42.73 | small 0.05, ghosts 0.9, promotion 2, returns 2 | +| 60,000 | 44.67 | 47.48 | small 0.05, ghosts 0.9, promotion 2, returns 2 | +| 70,000 | 49.02 | 51.90 | small 0.05, ghosts 0.9, promotion 2, returns 2 | +| 80,000 | 53.01 | 55.64 | small 0.05, ghosts 0.9, promotion 2, returns 2 | + +### Glimpse + +6,015 requests. + +| capacity | as it is | best | with | +|---:|---:|---:|:---| +| 250 | 15.83 | 16.46 | small 0.05, ghosts 3, promotion 1, returns 1 | +| 500 | 30.54 | 32.65 | small 0.05, ghosts 0.9, promotion 1, returns 1 | +| 750 | 39.09 | 41.06 | small 0.05, ghosts 0.9, promotion 2, returns 2 | +| 1,000 | 44.34 | 49.06 | small 0.05, ghosts 0.9, promotion 2, returns 2 | +| 1,250 | 50.42 | 52.59 | small 0.1, ghosts 0.9, promotion 1, returns 2 | +| 1,500 | 53.00 | 53.55 | small 0.05, ghosts 0.9, promotion 2, returns 2 | +| 1,750 | 55.33 | 55.98 | small 0.5, ghosts 0.9, promotion 2, returns 1 | +| 2,000 | 57.41 | 57.96 | small 0.05, ghosts 0.9, promotion 2, returns 1 | + +### Mixed + +776,904 requests. + +| capacity | as it is | best | with | +|---:|---:|---:|:---| +| 250 | 9.50 | 21.82 | small 0.2, ghosts 6, promotion 2, returns 2 | +| 500 | 11.70 | 33.87 | small 0.2, ghosts 3, promotion 2, returns 2 | +| 750 | 11.73 | 49.60 | small 0.3, ghosts 3, promotion 2, returns 1 | +| 1,000 | 11.76 | 72.61 | small 0.05, ghosts 3, promotion 2, returns 1 | +| 1,250 | 76.44 | 76.59 | small 0.9, ghosts 0.9, promotion 2, returns 1 | +| 1,500 | 76.49 | 76.61 | small 0.7, ghosts 0.9, promotion 2, returns 1 | +| 1,750 | 76.54 | 76.61 | small 0.7, ghosts 0.9, promotion 2, returns 1 | +| 2,000 | 76.58 | 76.64 | small 0.5, ghosts 0.9, promotion 2, returns 1 | + +### Scarab + +1,245,184 requests. + +| capacity | as it is | best | with | +|---:|---:|---:|:---| +| 1,000 | 35.22 | 35.91 | small 0.1, ghosts 6, promotion 2, returns 2 | +| 5,000 | 47.75 | 47.93 | small 0.1, ghosts 6, promotion 2, returns 2 | +| 10,000 | 53.51 | 53.57 | small 0.05, ghosts 6, promotion 2, returns 2 | +| 25,000 | 62.41 | 62.58 | small 0.05, ghosts 3, promotion 2, returns 1 | +| 50,000 | 69.47 | 70.14 | small 0.3, ghosts 0.9, promotion 1, returns 1 | +| 75,000 | 72.99 | 73.93 | small 0.3, ghosts 0.9, promotion 1, returns 1 | +| 100,000 | 75.03 | 76.05 | small 0.3, ghosts 0.9, promotion 1, returns 1 | +| 125,000 | 76.40 | 77.30 | small 0.3, ghosts 0.9, promotion 1, returns 1 | + +### Twitter + +2,245,093 requests. + +| capacity | as it is | best | with | +|---:|---:|---:|:---| +| 1,000 | 53.52 | 53.62 | small 0.1, ghosts 3, promotion 2, returns 1 | +| 2,500 | 55.78 | 56.03 | small 0.1, ghosts 6, promotion 2, returns 1 | +| 5,000 | 57.55 | 57.75 | small 0.1, ghosts 6, promotion 2, returns 1 | +| 10,000 | 59.13 | 59.35 | small 0.2, ghosts 3, promotion 2, returns 1 | +| 25,000 | 61.29 | 61.71 | small 0.2, ghosts 3, promotion 2, returns 1 | +| 50,000 | 63.13 | 63.34 | small 0.1, ghosts 3, promotion 2, returns 1 | +| 100,000 | 65.00 | 65.08 | small 0.1, ghosts 3, promotion 2, returns 1 | +| 200,000 | 67.17 | 67.25 | small 0.05, ghosts 3, promotion 2, returns 1 | + +### MSR + +3,993,316 requests. + +| capacity | as it is | best | with | +|---:|---:|---:|:---| +| 1,000 | 53.99 | 54.04 | small 0.1, ghosts 3, promotion 1, returns 1 | +| 2,500 | 57.43 | 58.01 | small 0.2, ghosts 3, promotion 1, returns 1 | +| 5,000 | 60.59 | 60.68 | small 0.2, ghosts 0.9, promotion 1, returns 1 | +| 10,000 | 63.46 | 63.73 | small 0.05, ghosts 6, promotion 2, returns 2 | +| 25,000 | 67.91 | 68.29 | small 0.05, ghosts 3, promotion 2, returns 2 | +| 50,000 | 72.17 | 72.29 | small 0.05, ghosts 0.9, promotion 1, returns 1 | +| 100,000 | 77.99 | 78.04 | small 0.05, ghosts 0.9, promotion 2, returns 1 | +| 200,000 | 84.24 | 84.26 | small 0.1, ghosts 3, promotion 2, returns 1 | + +### CloudPhysics + +3,375,344 requests. + +| capacity | as it is | best | with | +|---:|---:|---:|:---| +| 1,000 | 13.65 | 13.65 | small 0.05, ghosts 0.9, promotion 2, returns 1 | +| 2,500 | 14.44 | 14.51 | small 0.05, ghosts 6, promotion 2, returns 1 | +| 5,000 | 15.22 | 16.03 | small 0.05, ghosts 6, promotion 2, returns 2 | +| 10,000 | 17.84 | 18.82 | small 0.05, ghosts 6, promotion 2, returns 2 | +| 25,000 | 27.62 | 27.82 | small 0.05, ghosts 0.9, promotion 2, returns 1 | +| 50,000 | 33.87 | 34.36 | small 0.2, ghosts 3, promotion 1, returns 2 | +| 100,000 | 43.28 | 43.43 | small 0.1, ghosts 0.9, promotion 1, returns 1 | +| 200,000 | 54.81 | 58.78 | small 0.1, ghosts 0.9, promotion 1, returns 2 | diff --git a/internal/ghost/ghost.go b/internal/ghost/ghost.go index 6e78d03..d88fd01 100644 --- a/internal/ghost/ghost.go +++ b/internal/ghost/ghost.go @@ -25,6 +25,10 @@ type Set struct { mask uint32 count int + + // asked says, for every place in ring, how often the hash there has + // been asked for with Recall. It is nil in a set that does not count. + asked []uint8 } // present is the bit that every hash in the ring has set. @@ -52,6 +56,14 @@ func (s *Set) Init(capacity int) { s.index = make([]uint32, size) s.mask = uint32(size - 1) s.next, s.count = 0, 0 + s.asked = nil +} + +// InitCounting is Init for a set that keeps count of how often each hash is +// asked for with [Set.Recall], at the price of a byte for each. +func (s *Set) InitCounting(capacity int) { + s.Init(capacity) + s.asked = make([]uint8, capacity) } // Len returns the number of hashes in the set. @@ -82,6 +94,9 @@ func (s *Set) Add(hash uint64) { } s.ring[s.next] = hash + if s.asked != nil { + s.asked[s.next] = 0 + } i := uint32(hash) & s.mask for s.index[i] != 0 { i = (i + 1) & s.mask @@ -108,7 +123,30 @@ func (s *Set) Remove(hash uint64) bool { return true } -// Reset empties the set. +// Recall is Remove for a caller who wants to be asked more than once: it takes +// a hash out of the set and reports that it did only when the hash has been +// asked for the given number of times, this one included. Until then the hash +// stays where it is, and is forgotten when its turn comes like any other. A +// set that does not count, or a number below two, makes Recall the same as +// Remove. +func (s *Set) Recall(hash uint64, times int) bool { + slot, ok := s.find(hash | present) + if !ok { + return false + } + place := s.index[slot] - 1 + if int(place) < len(s.asked) && int(s.asked[place])+1 < times { + s.asked[place]++ + return false + } + s.ring[place] = 0 + s.unindex(slot) + s.count-- + return true +} + +// Reset empties the set. The counts of a set that counts need no clearing: a +// hash that is added starts with a count of its own. func (s *Set) Reset() { clear(s.ring) clear(s.index) diff --git a/internal/ghost/ghost_test.go b/internal/ghost/ghost_test.go index 682a4ea..54e1723 100644 --- a/internal/ghost/ghost_test.go +++ b/internal/ghost/ghost_test.go @@ -10,16 +10,18 @@ import ( // added, with a zero where one has been removed. type model struct { capacity int + counting bool ring []uint64 + asked []int // for every place in ring: how often its hash was asked for } func (m *model) add(hash uint64) { if m.capacity == 0 || slices.Contains(m.ring, hash) { return } - m.ring = append(m.ring, hash) + m.ring, m.asked = append(m.ring, hash), append(m.asked, 0) if len(m.ring) > m.capacity { - m.ring = m.ring[1:] + m.ring, m.asked = m.ring[1:], m.asked[1:] } } @@ -32,6 +34,21 @@ func (m *model) remove(hash uint64) bool { return true } +// recall removes the hash if this is at least the given number of times that +// it has been asked for, or if the model does not count. +func (m *model) recall(hash uint64, times int) bool { + i := slices.Index(m.ring, hash) + if i < 0 { + return false + } + m.asked[i]++ + if m.counting && m.asked[i] < times { + return false + } + m.ring[i] = 0 + return true +} + func (m *model) len() int { n := 0 for _, hash := range m.ring { @@ -144,7 +161,11 @@ func TestNoCapacity(t *testing.T) { func TestAgainstModel(t *testing.T) { t.Parallel() - for _, capacity := range []int{1, 2, 3, 10, 40, 300} { + for _, tt := range []struct { + capacity int + counting bool + }{{1, false}, {2, false}, {3, false}, {10, false}, {40, false}, {300, false}, {1, true}, {2, true}, {10, true}, {40, true}, {300, true}} { + capacity := tt.capacity rng := rand.New(rand.NewPCG(uint64(capacity), 9)) hashOf := func() uint64 { h := uint64(rng.IntN(3 * capacity)) @@ -159,18 +180,30 @@ func TestAgainstModel(t *testing.T) { } var s Set - s.Init(capacity) - m := model{capacity: capacity} + if tt.counting { + s.InitCounting(capacity) + } else { + s.Init(capacity) + } + m := model{capacity: capacity, counting: tt.counting} for step := range 20_000 { hash := hashOf() - if rng.IntN(3) == 0 { + switch rng.IntN(4) { + case 0: // The set tells hashes apart by all bits but the highest. got, want := s.Remove(hash), m.remove(hash|present) if got != want { t.Fatalf("capacity %d, step %d: Remove(%#x) = %t, want %t", capacity, step, hash, got, want) } - } else { + case 1: + times := rng.IntN(4) + got, want := s.Recall(hash, times), m.recall(hash|present, times) + if got != want { + t.Fatalf("capacity %d, counting %t, step %d: Recall(%#x, %d) = %t, want %t", + capacity, tt.counting, step, hash, times, got, want) + } + default: s.Add(hash) m.add(hash | present) } @@ -195,11 +228,83 @@ func TestAgainstModel(t *testing.T) { } } +// TestRecall checks the count that a set keeps of how often a hash has been +// asked for: it is the hash's own, starts over when the hash is added anew, +// and is not there at all in a set that was not made to count. +func TestRecall(t *testing.T) { + t.Parallel() + + var s Set + s.InitCounting(2) + + s.Add(1) + if s.Recall(1, 2) || s.Len() != 1 { + t.Fatal("Recall took a hash out the first time it was asked for, where it takes two") + } + s.Add(1) // It is there already, and stays as it is. + if !s.Recall(1, 2) || s.Len() != 0 { + t.Fatal("Recall did not take a hash out the second time it was asked for") + } + if s.Recall(1, 2) || s.Recall(1, 1) { + t.Fatal("Recall found a hash that it had taken out") + } + + // A hash that is added again has not been asked for. + s.Add(1) + if s.Recall(1, 2) { + t.Fatal("a hash that was added again counts from where it had been before") + } + // Nor has the hash that takes the place of another. + s.Add(2) + s.Add(3) // The set has room for two: this one takes the place of 1. + if s.Recall(1, 1) { + t.Fatal("the set has room for two hashes and remembers a third") + } + if s.Recall(3, 2) { + t.Fatal("a hash has inherited the count of the one whose place it took") + } + if !s.Recall(3, 2) { + t.Fatal("Recall did not take a hash out the second time it was asked for") + } + // A count of one, or of none, is reached the first time. + if !s.Recall(2, 1) { + t.Fatal("Recall for the first time did not take the hash out") + } + s.Add(7) + if !s.Recall(7, 0) || s.Len() != 0 { + t.Fatal("Recall with no count to reach did not take the hash out") + } + + // Reset forgets the counts with the hashes. + s.Add(4) + s.Recall(4, 3) + s.Recall(4, 3) + s.Reset() + s.Add(4) + if s.Recall(4, 2) { + t.Fatal("a count has outlived Reset") + } + + // A set that does not count takes a hash out whatever it is told. + s.Init(2) + s.Add(5) + if !s.Recall(5, 100) { + t.Fatal("a set that does not count has kept a hash that was asked for") + } + // And one that is set up again without counting has stopped. + s.InitCounting(2) + s.Init(2) + s.Add(6) + if !s.Recall(6, 2) { + t.Fatal("Init has left the set counting") + } +} + // TestNoAllocs is not parallel: counting allocations needs the process to // itself. func TestNoAllocs(t *testing.T) { var s Set - s.Init(100) + s.InitCounting(100) hash, step := uint64(0), uint64(0x9e3779b97f4a7c15) allocs := testing.AllocsPerRun(1, func() { @@ -207,6 +312,7 @@ func TestNoAllocs(t *testing.T) { hash += step s.Add(hash) s.Remove(hash - 50*step) + s.Recall(hash-20*step, 2) } s.Reset() }) diff --git a/s3fifo/example_test.go b/s3fifo/example_test.go index 4efb6fa..21bb7c3 100644 --- a/s3fifo/example_test.go +++ b/s3fifo/example_test.go @@ -48,3 +48,26 @@ func ExampleCache_Set() { // replaced a=first // evicted a=second } + +// A larger small queue gives a new entry longer to be asked for again. +func ExampleWithSmallRatio() { + for _, ratio := range []float64{0.1, 0.5} { + cache := s3fifo.New[int, string](10, s3fifo.WithShards(1), s3fifo.WithSmallRatio(ratio)) + for key := 1; key <= 10; key++ { + cache.Set(key, "") + } + + cache.Set(100, "new") + // Three more entries arrive before anyone asks for it again. + for key := 11; key <= 13; key++ { + cache.Set(key, "") + } + + _, ok := cache.Get(100) + fmt.Printf("with %2.0f%% for the small queue it is still there: %t\n", 100*ratio, ok) + } + + // Output: + // with 10% for the small queue it is still there: false + // with 50% for the small queue it is still there: true +} diff --git a/s3fifo/s3fifo.go b/s3fifo/s3fifo.go index 00c1a49..1d5731a 100644 --- a/s3fifo/s3fifo.go +++ b/s3fifo/s3fifo.go @@ -8,7 +8,8 @@ // small queue moves on to the main queue instead, which has the rest of the // room. The third queue holds no entries, only the ghosts of those that left // from the small queue: if the key of one comes back in time, it goes -// straight into the main queue. +// straight into the main queue. The sizes of the queues and what it takes to +// move from one to the other can be changed; see Tuning below. // // The main queue gives an entry that has been read since it was last looked // at another round rather than evicting it, up to three times in a row for an @@ -37,6 +38,29 @@ // worse than an LRU cache of the same size. For caches as small as that, // the lru package is the better choice; see also [WithShards]. // +// # Tuning +// +// The numbers above are the ones that the paper recommends, and they serve a +// wide range of workloads well. They are not the best for each of them. When +// the eleven traces that this module is measured with were replayed with 84 +// settings, four of them gained next to nothing from the best of those, and +// two a great deal: eight and nearly sixteen points of hit ratio. The small +// queue that served a trace best had a twentieth of the room for six of them, +// a tenth for three and a fifth for two. Four traces did best with three or +// six times as many ghosts, and five by sending a key to the main queue only +// when it comes back for the second time. No one setting was good for all: +// the one that did best for the eleven together did worse than the standard +// one for six of them. The numbers are in bench/results/tuning.md. +// +// So the options [WithSmallRatio], [WithGhostRatio], [WithPromotionReads] and +// [WithGhostReturns] are for a workload that is known, or better, recorded: +// replay it with the settings in question and compare. They are four of the +// five knobs of S4-FIFO, which picks its settings with a model that was +// trained in advance ("Learning-Augmented Heuristics: Simple, yet Smart, +// Robust and Interpretable Cache Eviction" by Xia, Nixon, Marthen, Bhandari +// and others, 2026). A cache of this package does not pick: it does as it is +// told. +// // # Memory // // So that readers need no lock, an entry that leaves the cache is not taken @@ -55,8 +79,9 @@ // place. // // Of a ghost the cache keeps a hash of the key and nothing else: sixteen -// bytes or so, for nine tenths as many ghosts as there are entries. The key -// itself is let go like the rest of the entry. +// bytes or so, for nine tenths as many ghosts as there are entries unless +// [WithGhostRatio] says otherwise. The key itself is let go like the rest of +// the entry. // // A cache also has a table in which its readers say what they are looking // at. It takes between 2 and 4 KiB for every CPU that Go may use when the @@ -67,6 +92,7 @@ package s3fifo import ( "hash/maphash" "iter" + "math" "math/rand/v2" "runtime" "slices" @@ -117,6 +143,12 @@ type shard[K comparable, V any] struct { capacity int // entries in both queues together mainCap int // entries that the main queue has room for + // promote is how often an entry must have been read in the small queue + // to move on to the main one, and returns is how often a key must come + // back while it is a ghost to go there straight away. + promote uint32 + returns int + // evicted says that the shard has been full since it was made or last // cleared. Until then, new entries are not all sent through the small // queue; see set. @@ -153,9 +185,21 @@ const maxFrequency = 3 type Option func(*config) type config struct { - shards int + shards int + smallRatio float64 + ghostRatio float64 + promote int + returns int } +// The defaults are the numbers of the paper. +func defaults() config { + return config{smallRatio: 0.1, ghostRatio: 0.9, promote: 2, returns: 1} +} + +// maxGhostRatio is as far as [WithGhostRatio] goes. +const maxGhostRatio = 8 + // WithShards sets the number of shards, which is rounded up to a power of two // and limited to the capacity. Zero or less stands for the default. // @@ -175,10 +219,82 @@ func WithShards(n int) Option { return func(c *config) { c.shards = n } } +// WithSmallRatio sets the share of the capacity that the small queue has; the +// main queue has the rest. The default is 0.1. +// +// New entries wait in the small queue to be read again. A larger one gives +// them longer, which suits a workload whose entries are asked for again soon +// or not at all, and takes the room from the entries that have proven +// themselves. With a share of 0 a new entry has until the next one arrives, +// and with a share of 1 the main queue holds only what has just moved up. +// +// The ratio is brought into the range from 0 to 1 if it is outside, and is 0 +// if it is not a number. The share of a shard is rounded down to whole +// entries. +func WithSmallRatio(ratio float64) Option { + return func(c *config) { c.smallRatio = clamp(ratio, 1) } +} + +// WithGhostRatio sets the number of ghosts, the keys that the cache remembers +// after it has evicted their entries from the small queue, as a share of the +// capacity. The default is 0.9: as many as the main queue has entries. +// +// The more ghosts, the longer a key may stay away and still be recognized +// when it comes back, which is what tells an entry that is asked for every +// now and then from one that is new. A ghost takes about sixteen bytes, so a +// ratio of 6 costs about a hundred bytes for every entry. With a ratio of 0 +// nothing is remembered, and an entry gets to the main queue only by being +// read in the small one. +// +// The ratio is brought into the range from 0 to 8 if it is outside, and is 0 +// if it is not a number. The number for a shard is rounded down to whole +// keys. +func WithGhostRatio(ratio float64) Option { + return func(c *config) { c.ghostRatio = clamp(ratio, maxGhostRatio) } +} + +// WithPromotionReads sets how often an entry has to be read while it is in +// the small queue to move on to the main queue when its turn to leave comes. +// The default is 2. With 1, a single read is enough, which lets more entries +// through; with 3, an entry has to be read as often as the cache counts at +// all. The number is brought into the range from 1 to 3 if it is outside. +func WithPromotionReads(n int) Option { + return func(c *config) { c.promote = min(max(n, 1), maxFrequency) } +} + +// WithGhostReturns sets how often a key has to come back while the cache +// remembers it to go straight into the main queue. The default is 1: a ghost +// that is asked for is as good as an entry that was read twice. +// +// With 2, the key goes through the small queue once more the first time it +// comes back, and its ghost stays. That keeps out keys that come round at long +// intervals without ever being asked for in between, as in a scan that +// repeats; it costs a byte for every ghost. The number is brought into the +// range from 1 to 255 if it is outside. +func WithGhostReturns(n int) Option { + return func(c *config) { c.returns = min(max(n, 1), math.MaxUint8) } +} + +// clamp returns the ratio in the range from 0 to most that is closest to x. +// That is 0 if x is not a number. +func clamp(x, most float64) float64 { + if math.IsNaN(x) { + return 0 + } + return min(max(x, 0), most) +} + +// share returns the given share of n, rounded down. A ratio is a fraction in +// binary, and its product with n may come out a hair below the whole number +// that it stands for; that hair is not allowed to cost an entry. +func share(ratio float64, n int) int { + return int(ratio*float64(n) + 1e-6) +} + // New returns a cache that holds up to capacity entries. A cache with a // capacity of zero or less holds nothing. func New[K comparable, V any](capacity int, opts ...Option) *Cache[K, V] { - var cfg config + cfg := defaults() for _, opt := range opts { opt(&cfg) } @@ -196,13 +312,18 @@ func New[K comparable, V any](capacity int, opts ...Option) *Cache[K, V] { for i := range c.shards { s := &c.shards[i] s.capacity = shards.Capacity(capacity, n, i) - // A tenth of the room is for the small queue. There are as many - // ghosts as the main queue has entries. - s.mainCap = s.capacity - s.capacity/10 + // By default a tenth of the room is for the small queue, and there + // are nine tenths as many ghosts as entries. Both are rounded + // down, so that is not always as many ghosts as the main queue + // has room for entries. + s.mainCap = s.capacity - share(cfg.smallRatio, s.capacity) + s.promote, s.returns = uint32(cfg.promote), cfg.returns s.slab.Init(s.capacity, queues, c.readers) - // Nine tenths as many ghosts as entries, rounded down, which is - // not always what the main queue has room for. - s.ghosts.Init(s.capacity * 9 / 10) + if ghosts := min(share(cfg.ghostRatio, s.capacity), ghost.MaxCapacity); cfg.returns > 1 { + s.ghosts.InitCounting(ghosts) + } else { + s.ghosts.Init(ghosts) + } } return c } @@ -323,7 +444,7 @@ func (s *shard[K, V]) set(h uint64, key K, value V) (oldKey K, oldValue V, displ // Whether the key has a ghost is settled first: the entry that is about // to be evicted may leave a ghost of its own, and that must not push // out the one that is being asked for. - remembered := s.ghosts.Remove(ghostOf(hash, tagOf(h, small))) + remembered := s.ghosts.Recall(ghostOf(hash, tagOf(h, small)), s.returns) if s.smalls+s.mains == s.capacity { oldKey, oldValue = s.evict() displaced = true @@ -368,7 +489,7 @@ func (s *shard[K, V]) evict() (key K, value V) { sl.Unlink(idx) s.smalls-- - if n.Meta.Load() > 1 { + if n.Meta.Load() >= s.promote { n.Meta.Store(0) links[idx].Tag |= main sl.PushFront(main, idx) diff --git a/s3fifo/s3fifo_test.go b/s3fifo/s3fifo_test.go index 98e8e6c..1103140 100644 --- a/s3fifo/s3fifo_test.go +++ b/s3fifo/s3fifo_test.go @@ -302,19 +302,195 @@ func TestMainQueue(t *testing.T) { expect(in{"u", "v"}, in{"s"}) } +// TestTuning follows single entries through caches that are not as the paper +// has them, one option at a time. +func TestTuning(t *testing.T) { + t.Parallel() + + type in = []int + // full returns a cache of ten entries with the given options that holds + // the keys from 1 to 10, and a function that checks its queues. + full := func(t *testing.T, options ...s3fifo.Option) (c *s3fifo.Cache[int, string], expect func(inMain, inSmall []int)) { + t.Helper() + c = s3fifo.New[int, string](10, append(options, s3fifo.WithShards(1))...) + for key := 1; key <= 10; key++ { + c.Set(key, "") + } + return c, func(inMain, inSmall []int) { + t.Helper() + if gotMain, gotSmall := c.Queues(); !slices.Equal(gotMain, inMain) || !slices.Equal(gotSmall, inSmall) { + t.Fatalf("the main queue holds %v and the small queue %v, want %v and %v", gotMain, gotSmall, inMain, inSmall) + } + } + } + evicts := func(t *testing.T, c *s3fifo.Cache[int, string], key, want int) { + t.Helper() + if k, _, displaced := c.Set(key, ""); !displaced || k != want { + t.Fatalf("Set(%d) evicted %d, %t, want %d", key, k, displaced, want) + } + } + + t.Run("small queue", func(t *testing.T) { + t.Parallel() + + // Half of the room: the small queue takes five entries while the + // cache fills up, and a new entry outlasts four more arrivals. + c, expect := full(t, s3fifo.WithSmallRatio(0.5)) + expect(in{10, 9, 8, 7, 6}, in{5, 4, 3, 2, 1}) + for key := 11; key <= 14; key++ { + evicts(t, c, key, key-10) + } + expect(in{10, 9, 8, 7, 6}, in{14, 13, 12, 11, 5}) + + // No room at all: once the cache is full, a new entry is the next + // one to go, unless it is read twice before that. + c, expect = full(t, s3fifo.WithSmallRatio(0)) + expect(in{10, 9, 8, 7, 6, 5, 4, 3, 2, 1}, nil) + evicts(t, c, 11, 1) + expect(in{10, 9, 8, 7, 6, 5, 4, 3, 2}, in{11}) + evicts(t, c, 12, 11) + c.Get(12) + c.Get(12) + evicts(t, c, 13, 2) + expect(in{12, 10, 9, 8, 7, 6, 5, 4, 3}, in{13}) + }) + + t.Run("promotion", func(t *testing.T) { + t.Parallel() + + // One read is enough to move up. + c, expect := full(t, s3fifo.WithPromotionReads(1)) + c.Get(1) + evicts(t, c, 11, 2) + expect(in{1, 10, 9, 8, 7, 6, 5, 4, 3}, in{11}) + + // Three reads it takes, and two are not enough. + c, expect = full(t, s3fifo.WithPromotionReads(3)) + c.Get(1) + c.Get(1) + evicts(t, c, 11, 1) + c.Get(11) + c.Get(11) + c.Get(11) + evicts(t, c, 12, 2) + expect(in{11, 10, 9, 8, 7, 6, 5, 4, 3}, in{12}) + }) + + t.Run("ghosts", func(t *testing.T) { + t.Parallel() + + // With none, a key that comes back is as new as any other. + c, expect := full(t, s3fifo.WithGhostRatio(0)) + evicts(t, c, 11, 1) + evicts(t, c, 1, 11) + expect(in{10, 9, 8, 7, 6, 5, 4, 3, 2}, in{1}) + + // With three times as many as entries, a key is remembered through + // twenty-nine others that were evicted after it, and not through + // thirty. + for _, others := range []int{29, 30} { + c, expect = full(t, s3fifo.WithGhostRatio(3)) + evicts(t, c, 11, 1) + for key := 12; key < 12+others; key++ { + evicts(t, c, key, key-1) + } + last := 11 + others + evicts(t, c, 1, last) + if others == 29 { + expect(in{1, 10, 9, 8, 7, 6, 5, 4, 3, 2}, nil) + } else { + expect(in{10, 9, 8, 7, 6, 5, 4, 3, 2}, in{1}) + } + } + }) + + t.Run("returns", func(t *testing.T) { + t.Parallel() + + // The first time a key comes back it goes through the small queue + // again, and the second time it goes to the main queue. + c, expect := full(t, s3fifo.WithGhostReturns(2)) + evicts(t, c, 11, 1) + evicts(t, c, 1, 11) + expect(in{10, 9, 8, 7, 6, 5, 4, 3, 2}, in{1}) + evicts(t, c, 12, 1) + evicts(t, c, 1, 12) + expect(in{1, 10, 9, 8, 7, 6, 5, 4, 3, 2}, nil) + + // The ghost keeps its place in line the while. There is room for + // nine ghosts, so it is forgotten when nine more keys have become + // one since it first did, not since it last came back. + for _, last := range []int{19, 20} { + c, expect = full(t, s3fifo.WithGhostReturns(2)) + evicts(t, c, 11, 1) // 1 is a ghost. + evicts(t, c, 12, 11) + evicts(t, c, 13, 12) + evicts(t, c, 1, 13) // It comes back for the first time, + evicts(t, c, 14, 1) // and leaves again. + for key := 15; key <= last; key++ { + evicts(t, c, key, key-1) + } + // The ghosts that have come after it are 11, 12, 13 and those + // from 14 on: eight of them if 19 was the last key to be set, + // and nine if 20 was. + evicts(t, c, 1, last) + if last == 19 { + expect(in{1, 10, 9, 8, 7, 6, 5, 4, 3, 2}, nil) + } else { + expect(in{10, 9, 8, 7, 6, 5, 4, 3, 2}, in{1}) + } + } + }) +} + +// TestTunedNoAllocs is not parallel: counting allocations needs the process +// to itself. +func TestTunedNoAllocs(t *testing.T) { + c := s3fifo.New[int, int](256, + s3fifo.WithSmallRatio(0.3), s3fifo.WithGhostRatio(3), s3fifo.WithPromotionReads(1), s3fifo.WithGhostReturns(2)) + allocs := testing.AllocsPerRun(1, func() { + for i := range 20_000 { + key := i * 7 % 1000 + if _, ok := c.Get(key); !ok { + c.Set(key, i) + } + if i%50 == 0 { + c.Delete(key) + } + } + c.Clear() + }) + if allocs != 0 { + t.Errorf("%v allocations, want 0", allocs) + } +} + // model is S3-FIFO at its simplest: a slice for each queue, with the newest // entry first, and the keys of the ghosts in the order they became one. type model struct { capacity, mainCap, ghostCap int + // promote is the number of reads that take an entry from the small + // queue to the main one, and returns the number of times that a ghost + // has to come back to go there at once. + promote, returns int // evicted says that the cache has been full since it was made or // cleared. evicted bool small, main []*entry // ghosts holds a place for each of the last ghostCap ghosts. The place - // of one that has come back, or that was deleted, is empty, which is - // -1. - ghosts []int + // of one that has come back for good, or that was deleted, is empty. + ghosts []ghost +} + +// ghost is a key that the model remembers, and how often it has come back +// since. A place that is empty has the key -1. +type ghost struct { + key, returned int +} + +func (m *model) ghostOf(key int) int { + return slices.IndexFunc(m.ghosts, func(g ghost) bool { return g.key == key }) } type entry struct { @@ -358,10 +534,15 @@ func (m *model) Set(key, value int) (oldKey, oldValue int, displaced bool) { return key, value, true } - // Whether the key has a ghost is settled before room is made for it. - ghost := slices.Index(m.ghosts, key) - if ghost >= 0 { - m.ghosts[ghost] = -1 + // Whether the key has a ghost is settled before room is made for it, + // and so is whether the ghost has come back often enough to count. + remembered := false + if at := m.ghostOf(key); at >= 0 { + m.ghosts[at].returned++ + if m.ghosts[at].returned >= m.returns { + m.ghosts[at].key = -1 + remembered = true + } } if len(m.small)+len(m.main) == m.capacity { oldKey, oldValue = m.evict() @@ -371,7 +552,7 @@ func (m *model) Set(key, value int) (oldKey, oldValue int, displaced bool) { // A cache that has never been full does not put more into the small // queue than its share. e := &entry{key: key, value: value} - if ghost >= 0 || !m.evicted && len(m.small) >= m.capacity-m.mainCap { + if remembered || !m.evicted && len(m.small) >= m.capacity-m.mainCap { m.main = slices.Insert(m.main, 0, e) } else { m.small = slices.Insert(m.small, 0, e) @@ -391,14 +572,16 @@ func (m *model) evict() (key, value int) { e := m.small[last] m.small = m.small[:last] - if e.reads > 1 { + if e.reads >= m.promote { e.reads = 0 m.main = slices.Insert(m.main, 0, e) continue } - if m.ghostCap > 0 { - m.ghosts = append(m.ghosts, e.key) + // A key whose ghost is still there, because it has not come back + // often enough, keeps that one. + if m.ghostCap > 0 && m.ghostOf(e.key) < 0 { + m.ghosts = append(m.ghosts, ghost{key: e.key}) if len(m.ghosts) > m.ghostCap { m.ghosts = m.ghosts[1:] } @@ -422,8 +605,8 @@ func (m *model) Delete(key int) (int, bool) { e := m.find(key) if e == nil { // A key that is only remembered is forgotten. - if ghost := slices.Index(m.ghosts, key); ghost >= 0 { - m.ghosts[ghost] = -1 + if at := m.ghostOf(key); at >= 0 { + m.ghosts[at].key = -1 } return 0, false } @@ -451,7 +634,72 @@ func (m *model) All() iter.Seq2[int, int] { } func newModel(capacity int) *model { - return &model{capacity: capacity, mainCap: capacity - capacity/10, ghostCap: capacity * 9 / 10} + return &model{capacity: capacity, mainCap: capacity - capacity/10, ghostCap: capacity * 9 / 10, promote: 2, returns: 1} +} + +// A setting is a cache that is not as the paper has it, and the model of it. +type setting struct { + name string + options []s3fifo.Option + model func(capacity int) *model +} + +// settings are the ways of tuning the cache that the model is compared with, +// the plain one first. +var settings = []setting{ + {"default", nil, newModel}, + {"small=0.3", []s3fifo.Option{s3fifo.WithSmallRatio(0.3)}, func(c int) *model { + m := newModel(c) + m.mainCap = c - c*3/10 + return m + }}, + {"small=0", []s3fifo.Option{s3fifo.WithSmallRatio(0)}, func(c int) *model { + m := newModel(c) + m.mainCap = c + return m + }}, + {"small=1", []s3fifo.Option{s3fifo.WithSmallRatio(1)}, func(c int) *model { + m := newModel(c) + m.mainCap = 0 + return m + }}, + {"ghosts=0", []s3fifo.Option{s3fifo.WithGhostRatio(0)}, func(c int) *model { + m := newModel(c) + m.ghostCap = 0 + return m + }}, + {"ghosts=3", []s3fifo.Option{s3fifo.WithGhostRatio(3)}, func(c int) *model { + m := newModel(c) + m.ghostCap = 3 * c + return m + }}, + {"promotion=1", []s3fifo.Option{s3fifo.WithPromotionReads(1)}, func(c int) *model { + m := newModel(c) + m.promote = 1 + return m + }}, + {"promotion=3", []s3fifo.Option{s3fifo.WithPromotionReads(3)}, func(c int) *model { + m := newModel(c) + m.promote = 3 + return m + }}, + {"returns=2", []s3fifo.Option{s3fifo.WithGhostReturns(2)}, func(c int) *model { + m := newModel(c) + m.returns = 2 + return m + }}, + {"returns=3", []s3fifo.Option{s3fifo.WithGhostReturns(3), s3fifo.WithGhostRatio(2)}, func(c int) *model { + m := newModel(c) + m.returns, m.ghostCap = 3, 2*c + return m + }}, + {"all at once", []s3fifo.Option{ + s3fifo.WithSmallRatio(0.5), s3fifo.WithGhostRatio(6), s3fifo.WithPromotionReads(1), s3fifo.WithGhostReturns(2), + }, func(c int) *model { + m := newModel(c) + m.mainCap, m.ghostCap, m.promote, m.returns = c-c/2, 6*c, 1, 2 + return m + }}, } func TestAgainstModel(t *testing.T) { @@ -472,14 +720,20 @@ func TestAgainstModel(t *testing.T) { {300, 1000, 50_000}, } { // Once the way it is meant to be, and once with readers that have - // to take the lock. + // to take the lock; and each with every setting. for _, crowded := range []bool{false, true} { - c := s3fifo.New[int, int](tt.capacity, s3fifo.WithShards(1)) - if crowded { - c.OccupyReaders(0) + for _, set := range settings { + t.Run(fmt.Sprintf("%s/capacity=%d/crowded=%t", set.name, tt.capacity, crowded), func(t *testing.T) { + t.Parallel() + + c := s3fifo.New[int, int](tt.capacity, append(set.options, s3fifo.WithShards(1))...) + if crowded { + c.OccupyReaders(0) + } + rng := rand.New(rand.NewPCG(uint64(i), 1)) + cachetest.Compare(t, c, set.model(tt.capacity), cachetest.RandomOps(rng, tt.keys, tt.steps)) + }) } - rng := rand.New(rand.NewPCG(uint64(i), 1)) - cachetest.Compare(t, c, newModel(tt.capacity), cachetest.RandomOps(rng, tt.keys, tt.steps)) } } } @@ -814,16 +1068,18 @@ func TestCrowdedReaders(t *testing.T) { } func FuzzAgainstModel(f *testing.F) { - f.Add(3, []byte{}) - f.Add(1, []byte{128, 129, 0, 130, 1}) - f.Add(3, []byte{128, 129, 130, 131, 128, 129, 130, 0, 131}) - f.Add(10, []byte("an arbitrary sequence of operations \xff on a small cache")) + f.Add(3, uint8(0), []byte{}) + f.Add(1, uint8(0), []byte{128, 129, 0, 130, 1}) + f.Add(3, uint8(8), []byte{128, 129, 130, 131, 128, 129, 130, 0, 131}) + f.Add(10, uint8(0), []byte("an arbitrary sequence of operations \xff on a small cache")) + f.Add(20, uint8(10), []byte("the same \x80\x81\x82\x83 on a cache \x80\x81 that is tuned")) - f.Fuzz(func(t *testing.T, capacity int, ops []byte) { + f.Fuzz(func(t *testing.T, capacity int, tuned uint8, ops []byte) { capacity %= 40 + set := settings[int(tuned)%len(settings)] cachetest.Compare(t, - s3fifo.New[int, int](capacity, s3fifo.WithShards(1)), - newModel(max(capacity, 0)), + s3fifo.New[int, int](capacity, append(set.options, s3fifo.WithShards(1))...), + set.model(max(capacity, 0)), cachetest.BytesOps(ops), ) }) diff --git a/s3fifo/shards_test.go b/s3fifo/shards_test.go index 26ce909..fcd4140 100644 --- a/s3fifo/shards_test.go +++ b/s3fifo/shards_test.go @@ -2,6 +2,7 @@ package s3fifo import ( "hash/maphash" + "math" "math/rand/v2" "runtime" "testing" @@ -99,6 +100,96 @@ func TestQueueSizes(t *testing.T) { } } +// TestShare checks the arithmetic of the ratios: a share is rounded down, and +// the defaults come out as the tenth and the nine tenths that they stand for, +// whatever the capacity. +func TestShare(t *testing.T) { + t.Parallel() + + for capacity := range 1 << 21 { + if small, ghosts := share(0.1, capacity), share(0.9, capacity); small != capacity/10 || ghosts != capacity*9/10 { + t.Fatalf("capacity %d: a share of 0.1 is %d and one of 0.9 is %d, want %d and %d", + capacity, small, ghosts, capacity/10, capacity*9/10) + } + } + for _, tt := range []struct { + ratio float64 + n int + want int + }{ + {0, 99, 0}, + {1, 12345, 12345}, + {0.5, 7, 3}, + {0.3, 1000, 300}, + {6, 100, 600}, + {2.85, 500, 1425}, + // In binary, 0.57 times 100 is a hair less than 57, and 0.7 times 10 + // a hair less than 7. + {0.57, 100, 57}, + {0.7, 10, 7}, + {0.29, 100, 29}, + {0.999, 1000, 999}, + {0.9999, 1000, 999}, + {1.0 / 3, 3, 1}, + {2.0 / 3, 3, 2}, + } { + if got := share(tt.ratio, tt.n); got != tt.want { + t.Errorf("share(%v, %d) = %d, want %d", tt.ratio, tt.n, got, tt.want) + } + } +} + +// TestOptions checks what the options that tune a cache make of its shards, +// and that they keep to their ranges. +func TestOptions(t *testing.T) { + t.Parallel() + + nan := math.NaN() + for _, tt := range []struct { + name string + options []Option + mainCap, ghosts int + promote, returns int + }{ + {"defaults", nil, 90, 90, 2, 1}, + {"small queue", []Option{WithSmallRatio(0.3)}, 70, 90, 2, 1}, + {"no small queue", []Option{WithSmallRatio(0)}, 100, 90, 2, 1}, + {"nothing but a small queue", []Option{WithSmallRatio(1)}, 0, 90, 2, 1}, + {"small queue below the range", []Option{WithSmallRatio(-0.5)}, 100, 90, 2, 1}, + {"small queue above the range", []Option{WithSmallRatio(1.5)}, 0, 90, 2, 1}, + {"small queue that is not a number", []Option{WithSmallRatio(nan)}, 100, 90, 2, 1}, + {"ghosts", []Option{WithGhostRatio(3)}, 90, 300, 2, 1}, + {"no ghosts", []Option{WithGhostRatio(0)}, 90, 0, 2, 1}, + {"ghosts below the range", []Option{WithGhostRatio(-1)}, 90, 0, 2, 1}, + {"ghosts above the range", []Option{WithGhostRatio(100)}, 90, 800, 2, 1}, + {"ghosts that are not a number", []Option{WithGhostRatio(nan)}, 90, 0, 2, 1}, + {"promotion", []Option{WithPromotionReads(1)}, 90, 90, 1, 1}, + {"promotion below the range", []Option{WithPromotionReads(-3)}, 90, 90, 1, 1}, + {"promotion above the range", []Option{WithPromotionReads(9)}, 90, 90, 3, 1}, + {"returns", []Option{WithGhostReturns(2)}, 90, 90, 2, 2}, + {"returns below the range", []Option{WithGhostReturns(0)}, 90, 90, 2, 1}, + {"returns above the range", []Option{WithGhostReturns(1000)}, 90, 90, 2, 255}, + {"the last one counts", []Option{WithSmallRatio(0.5), WithGhostRatio(2), WithSmallRatio(0.2)}, 80, 200, 2, 1}, + {"all of them", []Option{WithSmallRatio(0.5), WithGhostRatio(6), WithPromotionReads(3), WithGhostReturns(2)}, 50, 600, 3, 2}, + } { + c := New[int, int](100, append(tt.options, WithShards(1))...) + s := &c.shards[0] + if s.mainCap != tt.mainCap || s.ghosts.Cap() != tt.ghosts || int(s.promote) != tt.promote || s.returns != tt.returns { + t.Errorf("%s: the main queue has room for %d, there are %d ghosts, promotion takes %d reads and a ghost %d returns; want %d, %d, %d and %d", + tt.name, s.mainCap, s.ghosts.Cap(), s.promote, s.returns, tt.mainCap, tt.ghosts, tt.promote, tt.returns) + } + } + + // The shares are those of each shard. + c := New[int, int](1000, WithShards(8), WithSmallRatio(0.2), WithGhostRatio(2)) + for i := range c.shards { + if s := &c.shards[i]; s.capacity != 125 || s.mainCap != 100 || s.ghosts.Cap() != 250 { + t.Errorf("shard %d holds %d entries, %d of them in the main queue, and %d ghosts; want 125, 100 and 250", + i, s.capacity, s.mainCap, s.ghosts.Cap()) + } + } +} + // TestBookkeeping checks through a long run of operations that the counters // of a shard agree with its lists, that every entry is tagged with the queue // it is in, and that the queues stay within their bounds. From 8567f7b47d331e16a6a8ee3c7298783ce2cab5bd Mon Sep 17 00:00:00 2001 From: Vsevolod Strukchinsky Date: Wed, 11 Nov 2026 18:43:11 +0500 Subject: [PATCH 2/2] Forget the ghost of a key that has made it, or is deleted With WithGhostReturns(2) or more, a key that comes back for the first time has an entry and a ghost at once. Neither Delete nor the entry's moving up to the main queue removed that ghost, so a deleted key was not forgotten, and a key that had made it once got back into the main queue more easily than with a single return. Both now remove it, and the model in the tests does the same. A set of ghosts counts in a byte: Recall takes a number above 256 for 256 rather than never taking the hash out. The tests of the options look at every shard, and pin share's rounding from above. The tune command rejects arguments it has no use for and -datasets with -trace. Its tests check the report itself: averages, ties, the one setting for all, and that every part of a setting reaches the cache. The report and the package doc say that a setting picked on the requests it is measured with gains at most what they show. The tuning report is replayed again with the fix; only the column of the best setting for each capacity moves (mean 48.18 to 48.23). Co-Authored-By: Claude Opus 5.5 --- bench/cmd/tune/main.go | 12 + bench/cmd/tune/main_test.go | 116 + bench/results/tuning.csv | 4342 +++++++++++++++++----------------- bench/results/tuning.md | 30 +- internal/ghost/ghost.go | 9 +- internal/ghost/ghost_test.go | 14 + s3fifo/s3fifo.go | 66 +- s3fifo/s3fifo_test.go | 54 +- s3fifo/shards_test.go | 32 +- 9 files changed, 2460 insertions(+), 2215 deletions(-) diff --git a/bench/cmd/tune/main.go b/bench/cmd/tune/main.go index a95872a..43a8282 100644 --- a/bench/cmd/tune/main.go +++ b/bench/cmd/tune/main.go @@ -151,6 +151,14 @@ func run(ctx context.Context, args []string) error { } return err } + if flags.NArg() > 0 { + return fmt.Errorf("there is nothing to do with %q; a recording is given with -trace", flags.Arg(0)) + } + given := map[string]bool{} + flags.Visit(func(f *flag.Flag) { given[f.Name] = true }) + if given["trace"] && given["datasets"] { + return errors.New("-datasets and -trace do not go together: it is the datasets or a recording") + } var workloads []workload if *file != "" { @@ -380,6 +388,10 @@ Produced by `+"`%s`"+` with %s. The hit ratio in percent, averaged over the capacities at which a trace was replayed. +A best setting is picked by the very requests that it is then measured with. What it gains +is therefore the most that tuning has to offer for a trace, and more than the same setting +will gain on requests that are yet to come. + `, len(settings), command, runtime.Version()) one := forAll(results) diff --git a/bench/cmd/tune/main_test.go b/bench/cmd/tune/main_test.go index a90fb9b..41b69d9 100644 --- a/bench/cmd/tune/main_test.go +++ b/bench/cmd/tune/main_test.go @@ -12,6 +12,7 @@ import ( "github.com/floatdrop/evict/bench/dataset" "github.com/floatdrop/evict/bench/replay" "github.com/floatdrop/evict/bench/trace" + "github.com/floatdrop/evict/s3fifo" ) // requests is the trace that the tests tune for: short, so that eighty-odd @@ -95,6 +96,119 @@ func TestStandardSetting(t *testing.T) { } } +// TestSettingsReachTheCache checks that every part of a setting gets to the +// cache as the option that it stands for. +func TestSettingsReachTheCache(t *testing.T) { + t.Parallel() + + const capacity = 100 + keys := requests() + hits := func(options ...s3fifo.Option) int { + return replay.Hits(tuned{s3fifo.New[uint64, uint64](capacity, append(options, s3fifo.WithShards(1))...)}, keys) + } + plain := hits() + + for _, tt := range []struct { + setting setting + option s3fifo.Option + }{ + {setting{0.3, 0.9, 2, 1}, s3fifo.WithSmallRatio(0.3)}, + {setting{0.1, 6, 2, 1}, s3fifo.WithGhostRatio(6)}, + {setting{0.1, 0.9, 1, 1}, s3fifo.WithPromotionReads(1)}, + {setting{0.1, 0.9, 2, 2}, s3fifo.WithGhostReturns(2)}, + } { + got, want := replay.Hits(tt.setting.cache(capacity), keys), hits(tt.option) + if got != want { + t.Errorf("%v: answered %d requests, a cache with that one option answers %d", tt.setting, got, want) + } + // The check is only worth something if the option makes a difference. + if want == plain { + t.Errorf("%v: the option changes nothing about the %d requests that the cache answers as it is", tt.setting, plain) + } + } +} + +// TestReport checks what the report makes of results: the averages, which +// settings it calls the best, and which one it names when several are. +func TestReport(t *testing.T) { + t.Parallel() + + a, b := setting{0.05, 0.9, 2, 1}, setting{0.2, 3, 1, 2} + settings := []setting{standard, a, b} + results := []result{ + { + workload: workload{name: "x", title: "X", capacities: []int{10, 20, 30}}, + requests: 1000, + // One setting is the best at 10, another at 20, and at 30 + // the two are as good as each other. + hits: [][]int{{100, 350, 300}, {500, 400, 600}, {700, 800, 800}}, + }, + { + workload: workload{name: "y", title: "Y", capacities: []int{5}}, + requests: 2000, + // Nothing beats the standard setting. + hits: [][]int{{1000, 1000, 400}}, + }, + } + + var out strings.Builder + if err := markdown(&out, "go run ./cmd/tune", settings, results); err != nil { + t.Fatal(err) + } + for _, line := range []string{ + "Here it is replayed with 3 settings:", + "| trace | as it is | one setting for all | best setting for the trace | best setting for each capacity | the best setting for the trace is |", + // 1300, 1550, 1700 and 350+600+800 of 3000 requests. + "| X | 43.33 | 51.67 | 56.67 | 58.33 | " + b.String() + " |", + "| Y | 50.00 | 50.00 | 50.00 | 50.00 | " + standard.String() + " |", + "| **mean** | 46.67 | 50.83 | 53.33 | 54.17 | |", + // The best for both together is the best for neither. + "The one setting that does best for all of these traces together is: " + a.String() + ".", + "### X\n\n1,000 requests.", + "| 10 | 10.00 | 35.00 | " + a.String() + " |", + "| 20 | 50.00 | 60.00 | " + b.String() + " |", + // Of two that are as good, the one that comes first in the grid. + "| 30 | 70.00 | 80.00 | " + a.String() + " |", + "### Y\n\n2,000 requests.", + // And the standard one before any other. + "| 5 | 50.00 | 50.00 | " + standard.String() + " |", + } { + if !strings.Contains(out.String(), line) { + t.Errorf("the report lacks the line %q:\n%s", line, out.String()) + } + } + + // A report on one trace has nothing to say about all of them. + out.Reset() + if err := markdown(&out, "go run ./cmd/tune", settings, results[:1]); err != nil { + t.Fatal(err) + } + for _, line := range []string{ + "| trace | as it is | best setting for the trace | best setting for each capacity | the best setting for the trace is |", + "| X | 43.33 | 56.67 | 58.33 | " + b.String() + " |", + } { + if !strings.Contains(out.String(), line) { + t.Errorf("the report on one trace lacks the line %q:\n%s", line, out.String()) + } + } + for _, not := range []string{"one setting for all", "**mean**", "does best for all"} { + if strings.Contains(out.String(), not) { + t.Errorf("the report on one trace has %q in it:\n%s", not, out.String()) + } + } + + // The table of everything has a line for every setting at every capacity. + out.Reset() + if err := csv(&out, settings, results); err != nil { + t.Fatal(err) + } + lines := strings.Split(strings.TrimSpace(out.String()), "\n") + if len(lines) != 1+3*3+3 || lines[0] != "dataset,capacity,small_ratio,ghost_ratio,promotion_reads,ghost_returns,requests,hits" || + lines[5] != "x,20,0.05,0.9,2,1,1000,400" || lines[12] != "y,5,0.2,3,1,2,2000,400" { + t.Errorf("the table is:\n%s", out.String()) + } +} + func TestRun(t *testing.T) { t.Parallel() @@ -250,6 +364,8 @@ func TestRunErrors(t *testing.T) { {[]string{"-trace", filepath.Join(dir, "missing.txt"), "-capacities", "10"}, "no such file"}, {[]string{"-trace", empty, "-capacities", "10"}, "holds no requests"}, {[]string{"-no-such-flag"}, "flag provided but not defined"}, + {[]string{file}, `there is nothing to do with "` + file + `"`}, + {[]string{"-trace", file, "-capacities", "10", "-datasets", "small"}, "-datasets and -trace do not go together"}, } { err := run(t.Context(), append(tt.args, "-out", filepath.Join(dir, "out"))) if err == nil || !strings.Contains(err.Error(), tt.want) { diff --git a/bench/results/tuning.csv b/bench/results/tuning.csv index 504b6db..7b9bb5c 100644 --- a/bench/results/tuning.csv +++ b/bench/results/tuning.csv @@ -47,14 +47,14 @@ zipf,500,0.2,3,2,2,1000000,239815 zipf,500,0.3,3,2,2,1000000,232852 zipf,500,0.5,3,2,2,1000000,215404 zipf,500,0.7,3,2,2,1000000,189355 -zipf,500,0.9,3,2,2,1000000,142195 +zipf,500,0.9,3,2,2,1000000,142321 zipf,500,0.1,3,1,2,1000000,246420 zipf,500,0.05,3,1,2,1000000,249093 zipf,500,0.2,3,1,2,1000000,239659 zipf,500,0.3,3,1,2,1000000,232213 zipf,500,0.5,3,1,2,1000000,212989 -zipf,500,0.7,3,1,2,1000000,185508 -zipf,500,0.9,3,1,2,1000000,138417 +zipf,500,0.7,3,1,2,1000000,185520 +zipf,500,0.9,3,1,2,1000000,138780 zipf,500,0.1,6,2,1,1000000,235903 zipf,500,0.05,6,2,1,1000000,239348 zipf,500,0.2,6,2,1,1000000,228389 @@ -73,16 +73,16 @@ zipf,500,0.1,6,2,2,1000000,246609 zipf,500,0.05,6,2,2,1000000,249626 zipf,500,0.2,6,2,2,1000000,239891 zipf,500,0.3,6,2,2,1000000,232198 -zipf,500,0.5,6,2,2,1000000,213396 -zipf,500,0.7,6,2,2,1000000,185737 -zipf,500,0.9,6,2,2,1000000,136222 +zipf,500,0.5,6,2,2,1000000,213398 +zipf,500,0.7,6,2,2,1000000,185720 +zipf,500,0.9,6,2,2,1000000,136494 zipf,500,0.1,6,1,2,1000000,246219 zipf,500,0.05,6,1,2,1000000,249466 zipf,500,0.2,6,1,2,1000000,239153 zipf,500,0.3,6,1,2,1000000,231158 -zipf,500,0.5,6,1,2,1000000,211447 -zipf,500,0.7,6,1,2,1000000,183027 -zipf,500,0.9,6,1,2,1000000,134193 +zipf,500,0.5,6,1,2,1000000,211465 +zipf,500,0.7,6,1,2,1000000,183001 +zipf,500,0.9,6,1,2,1000000,135554 zipf,1000,0.1,0.9,2,1,1000000,286980 zipf,1000,0.05,0.9,2,1,1000000,289828 zipf,1000,0.2,0.9,2,1,1000000,280625 @@ -131,14 +131,14 @@ zipf,1000,0.2,3,2,2,1000000,281536 zipf,1000,0.3,3,2,2,1000000,275120 zipf,1000,0.5,3,2,2,1000000,258323 zipf,1000,0.7,3,2,2,1000000,232657 -zipf,1000,0.9,3,2,2,1000000,184375 +zipf,1000,0.9,3,2,2,1000000,184487 zipf,1000,0.1,3,1,2,1000000,287969 zipf,1000,0.05,3,1,2,1000000,290280 zipf,1000,0.2,3,1,2,1000000,282011 zipf,1000,0.3,3,1,2,1000000,274782 zipf,1000,0.5,3,1,2,1000000,256358 -zipf,1000,0.7,3,1,2,1000000,228917 -zipf,1000,0.9,3,1,2,1000000,180883 +zipf,1000,0.7,3,1,2,1000000,228908 +zipf,1000,0.9,3,1,2,1000000,181361 zipf,1000,0.1,6,2,1,1000000,278894 zipf,1000,0.05,6,2,1,1000000,282388 zipf,1000,0.2,6,2,1,1000000,271561 @@ -157,16 +157,16 @@ zipf,1000,0.1,6,2,2,1000000,289080 zipf,1000,0.05,6,2,2,1000000,292049 zipf,1000,0.2,6,2,2,1000000,282774 zipf,1000,0.3,6,2,2,1000000,275263 -zipf,1000,0.5,6,2,2,1000000,256628 -zipf,1000,0.7,6,2,2,1000000,228905 -zipf,1000,0.9,6,2,2,1000000,178220 +zipf,1000,0.5,6,2,2,1000000,256611 +zipf,1000,0.7,6,2,2,1000000,228948 +zipf,1000,0.9,6,2,2,1000000,178574 zipf,1000,0.1,6,1,2,1000000,288930 zipf,1000,0.05,6,1,2,1000000,291969 zipf,1000,0.2,6,1,2,1000000,282213 zipf,1000,0.3,6,1,2,1000000,274237 -zipf,1000,0.5,6,1,2,1000000,254797 -zipf,1000,0.7,6,1,2,1000000,226334 -zipf,1000,0.9,6,1,2,1000000,176312 +zipf,1000,0.5,6,1,2,1000000,254809 +zipf,1000,0.7,6,1,2,1000000,226385 +zipf,1000,0.9,6,1,2,1000000,178228 zipf,2000,0.1,0.9,2,1,1000000,328825 zipf,2000,0.05,0.9,2,1,1000000,331518 zipf,2000,0.2,0.9,2,1,1000000,322685 @@ -215,14 +215,14 @@ zipf,2000,0.2,3,2,2,1000000,322096 zipf,2000,0.3,3,2,2,1000000,316430 zipf,2000,0.5,3,2,2,1000000,301138 zipf,2000,0.7,3,2,2,1000000,276470 -zipf,2000,0.9,3,2,2,1000000,228640 +zipf,2000,0.9,3,2,2,1000000,228761 zipf,2000,0.1,3,1,2,1000000,328317 zipf,2000,0.05,3,1,2,1000000,329744 zipf,2000,0.2,3,1,2,1000000,323649 zipf,2000,0.3,3,1,2,1000000,317187 zipf,2000,0.5,3,1,2,1000000,299995 -zipf,2000,0.7,3,1,2,1000000,272933 -zipf,2000,0.9,3,1,2,1000000,225297 +zipf,2000,0.7,3,1,2,1000000,272928 +zipf,2000,0.9,3,1,2,1000000,226060 zipf,2000,0.1,6,2,1,1000000,322110 zipf,2000,0.05,6,2,1,1000000,325293 zipf,2000,0.2,6,2,1,1000000,314872 @@ -241,16 +241,16 @@ zipf,2000,0.1,6,2,2,1000000,331130 zipf,2000,0.05,6,2,2,1000000,333885 zipf,2000,0.2,6,2,2,1000000,324958 zipf,2000,0.3,6,2,2,1000000,317904 -zipf,2000,0.5,6,2,2,1000000,300005 -zipf,2000,0.7,6,2,2,1000000,272741 -zipf,2000,0.9,6,2,2,1000000,222561 +zipf,2000,0.5,6,2,2,1000000,299998 +zipf,2000,0.7,6,2,2,1000000,272740 +zipf,2000,0.9,6,2,2,1000000,223101 zipf,2000,0.1,6,1,2,1000000,331036 zipf,2000,0.05,6,1,2,1000000,333892 zipf,2000,0.2,6,1,2,1000000,324601 zipf,2000,0.3,6,1,2,1000000,317202 -zipf,2000,0.5,6,1,2,1000000,298436 -zipf,2000,0.7,6,1,2,1000000,270253 -zipf,2000,0.9,6,1,2,1000000,220976 +zipf,2000,0.5,6,1,2,1000000,298443 +zipf,2000,0.7,6,1,2,1000000,270372 +zipf,2000,0.9,6,1,2,1000000,222976 zipf,5000,0.1,0.9,2,1,1000000,379990 zipf,5000,0.05,0.9,2,1,1000000,381965 zipf,5000,0.2,0.9,2,1,1000000,375577 @@ -299,14 +299,14 @@ zipf,5000,0.2,3,2,2,1000000,370184 zipf,5000,0.3,3,2,2,1000000,366604 zipf,5000,0.5,3,2,2,1000000,355443 zipf,5000,0.7,3,2,2,1000000,333934 -zipf,5000,0.9,3,2,2,1000000,288872 +zipf,5000,0.9,3,2,2,1000000,289066 zipf,5000,0.1,3,1,2,1000000,375944 zipf,5000,0.05,3,1,2,1000000,375872 zipf,5000,0.2,3,1,2,1000000,374491 zipf,5000,0.3,3,1,2,1000000,370661 zipf,5000,0.5,3,1,2,1000000,356373 -zipf,5000,0.7,3,1,2,1000000,331565 -zipf,5000,0.9,3,1,2,1000000,285946 +zipf,5000,0.7,3,1,2,1000000,331562 +zipf,5000,0.9,3,1,2,1000000,286860 zipf,5000,0.1,6,2,1,1000000,376987 zipf,5000,0.05,6,2,1,1000000,380157 zipf,5000,0.2,6,2,1,1000000,370259 @@ -325,16 +325,16 @@ zipf,5000,0.1,6,2,2,1000000,382748 zipf,5000,0.05,6,2,2,1000000,384829 zipf,5000,0.2,6,2,2,1000000,377872 zipf,5000,0.3,6,2,2,1000000,371940 -zipf,5000,0.5,6,2,2,1000000,355955 -zipf,5000,0.7,6,2,2,1000000,330428 -zipf,5000,0.9,6,2,2,1000000,282826 +zipf,5000,0.5,6,2,2,1000000,355958 +zipf,5000,0.7,6,2,2,1000000,330467 +zipf,5000,0.9,6,2,2,1000000,283600 zipf,5000,0.1,6,1,2,1000000,383140 zipf,5000,0.05,6,1,2,1000000,385068 zipf,5000,0.2,6,1,2,1000000,378375 -zipf,5000,0.3,6,1,2,1000000,372064 -zipf,5000,0.5,6,1,2,1000000,355228 -zipf,5000,0.7,6,1,2,1000000,328673 -zipf,5000,0.9,6,1,2,1000000,281558 +zipf,5000,0.3,6,1,2,1000000,372065 +zipf,5000,0.5,6,1,2,1000000,355251 +zipf,5000,0.7,6,1,2,1000000,328801 +zipf,5000,0.9,6,1,2,1000000,283914 zipf,10000,0.1,0.9,2,1,1000000,413922 zipf,10000,0.05,0.9,2,1,1000000,415180 zipf,10000,0.2,0.9,2,1,1000000,410764 @@ -383,14 +383,14 @@ zipf,10000,0.2,3,2,2,1000000,401789 zipf,10000,0.3,3,2,2,1000000,400036 zipf,10000,0.5,3,2,2,1000000,393176 zipf,10000,0.7,3,2,2,1000000,376273 -zipf,10000,0.9,3,2,2,1000000,334370 +zipf,10000,0.9,3,2,2,1000000,334622 zipf,10000,0.1,3,1,2,1000000,407524 zipf,10000,0.05,3,1,2,1000000,406344 zipf,10000,0.2,3,1,2,1000000,408282 zipf,10000,0.3,3,1,2,1000000,406942 zipf,10000,0.5,3,1,2,1000000,396883 -zipf,10000,0.7,3,1,2,1000000,374821 -zipf,10000,0.9,3,1,2,1000000,331626 +zipf,10000,0.7,3,1,2,1000000,374837 +zipf,10000,0.9,3,1,2,1000000,332751 zipf,10000,0.1,6,2,1,1000000,416218 zipf,10000,0.05,6,2,1,1000000,418961 zipf,10000,0.2,6,2,1,1000000,410033 @@ -409,16 +409,16 @@ zipf,10000,0.1,6,2,2,1000000,416548 zipf,10000,0.05,6,2,2,1000000,418097 zipf,10000,0.2,6,2,2,1000000,413049 zipf,10000,0.3,6,2,2,1000000,408631 -zipf,10000,0.5,6,2,2,1000000,395588 -zipf,10000,0.7,6,2,2,1000000,372891 -zipf,10000,0.9,6,2,2,1000000,328599 +zipf,10000,0.5,6,2,2,1000000,395586 +zipf,10000,0.7,6,2,2,1000000,372882 +zipf,10000,0.9,6,2,2,1000000,329385 zipf,10000,0.1,6,1,2,1000000,417705 zipf,10000,0.05,6,1,2,1000000,418633 zipf,10000,0.2,6,1,2,1000000,414663 -zipf,10000,0.3,6,1,2,1000000,410205 -zipf,10000,0.5,6,1,2,1000000,396152 -zipf,10000,0.7,6,1,2,1000000,371982 -zipf,10000,0.9,6,1,2,1000000,327618 +zipf,10000,0.3,6,1,2,1000000,410202 +zipf,10000,0.5,6,1,2,1000000,396120 +zipf,10000,0.7,6,1,2,1000000,372152 +zipf,10000,0.9,6,1,2,1000000,329966 zipf,20000,0.1,0.9,2,1,1000000,443218 zipf,20000,0.05,0.9,2,1,1000000,443869 zipf,20000,0.2,0.9,2,1,1000000,441747 @@ -467,14 +467,14 @@ zipf,20000,0.2,3,2,2,1000000,430978 zipf,20000,0.3,3,2,2,1000000,429765 zipf,20000,0.5,3,2,2,1000000,426918 zipf,20000,0.7,3,2,2,1000000,415715 -zipf,20000,0.9,3,2,2,1000000,379540 +zipf,20000,0.9,3,2,2,1000000,379963 zipf,20000,0.1,3,1,2,1000000,436046 zipf,20000,0.05,3,1,2,1000000,435064 zipf,20000,0.2,3,1,2,1000000,438078 zipf,20000,0.3,3,1,2,1000000,439305 zipf,20000,0.5,3,1,2,1000000,434272 -zipf,20000,0.7,3,1,2,1000000,416734 -zipf,20000,0.9,3,1,2,1000000,377324 +zipf,20000,0.7,3,1,2,1000000,416747 +zipf,20000,0.9,3,1,2,1000000,378523 zipf,20000,0.1,6,2,1,1000000,451624 zipf,20000,0.05,6,2,1,1000000,454021 zipf,20000,0.2,6,2,1,1000000,446626 @@ -493,16 +493,16 @@ zipf,20000,0.1,6,2,2,1000000,444869 zipf,20000,0.05,6,2,2,1000000,445737 zipf,20000,0.2,6,2,2,1000000,442973 zipf,20000,0.3,6,2,2,1000000,440525 -zipf,20000,0.5,6,2,2,1000000,431566 -zipf,20000,0.7,6,2,2,1000000,413046 -zipf,20000,0.9,6,2,2,1000000,374456 +zipf,20000,0.5,6,2,2,1000000,431563 +zipf,20000,0.7,6,2,2,1000000,413062 +zipf,20000,0.9,6,2,2,1000000,375339 zipf,20000,0.1,6,1,2,1000000,446737 zipf,20000,0.05,6,1,2,1000000,446755 -zipf,20000,0.2,6,1,2,1000000,446131 -zipf,20000,0.3,6,1,2,1000000,444157 -zipf,20000,0.5,6,1,2,1000000,434131 -zipf,20000,0.7,6,1,2,1000000,414113 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+s3,800000,0.5,3,1,2,16407702,9430066 +s3,800000,0.7,3,1,2,16407702,8871243 +s3,800000,0.9,3,1,2,16407702,8627213 s3,800000,0.1,6,2,1,16407702,10470254 s3,800000,0.05,6,2,1,16407702,10820509 s3,800000,0.2,6,2,1,16407702,10150081 @@ -1329,20 +1329,20 @@ s3,800000,0.3,6,1,1,16407702,9821006 s3,800000,0.5,6,1,1,16407702,9324179 s3,800000,0.7,6,1,1,16407702,8917163 s3,800000,0.9,6,1,1,16407702,8911736 -s3,800000,0.1,6,2,2,16407702,10730467 -s3,800000,0.05,6,2,2,16407702,11098678 -s3,800000,0.2,6,2,2,16407702,10366582 -s3,800000,0.3,6,2,2,16407702,10057564 -s3,800000,0.5,6,2,2,16407702,9398905 -s3,800000,0.7,6,2,2,16407702,8860646 -s3,800000,0.9,6,2,2,16407702,8613295 -s3,800000,0.1,6,1,2,16407702,10744602 -s3,800000,0.05,6,1,2,16407702,11107300 -s3,800000,0.2,6,1,2,16407702,10311473 -s3,800000,0.3,6,1,2,16407702,9978557 -s3,800000,0.5,6,1,2,16407702,9351791 -s3,800000,0.7,6,1,2,16407702,8817596 -s3,800000,0.9,6,1,2,16407702,8682997 +s3,800000,0.1,6,2,2,16407702,10730533 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-ds1,1000000,0.5,3,2,2,43704979,4173829 -ds1,1000000,0.7,3,2,2,43704979,3348724 -ds1,1000000,0.9,3,2,2,43704979,2014088 -ds1,1000000,0.1,3,1,2,43704979,6340942 -ds1,1000000,0.05,3,1,2,43704979,6647275 -ds1,1000000,0.2,3,1,2,43704979,5993773 -ds1,1000000,0.3,3,1,2,43704979,5190337 -ds1,1000000,0.5,3,1,2,43704979,4013121 -ds1,1000000,0.7,3,1,2,43704979,2700250 -ds1,1000000,0.9,3,1,2,43704979,1682081 +ds1,1000000,0.1,3,2,2,43704979,6303938 +ds1,1000000,0.05,3,2,2,43704979,6522916 +ds1,1000000,0.2,3,2,2,43704979,5985908 +ds1,1000000,0.3,3,2,2,43704979,5518098 +ds1,1000000,0.5,3,2,2,43704979,4173679 +ds1,1000000,0.7,3,2,2,43704979,3348611 +ds1,1000000,0.9,3,2,2,43704979,2014320 +ds1,1000000,0.1,3,1,2,43704979,6341012 +ds1,1000000,0.05,3,1,2,43704979,6647407 +ds1,1000000,0.2,3,1,2,43704979,5993808 +ds1,1000000,0.3,3,1,2,43704979,5193057 +ds1,1000000,0.5,3,1,2,43704979,4013345 +ds1,1000000,0.7,3,1,2,43704979,2699098 +ds1,1000000,0.9,3,1,2,43704979,1681505 ds1,1000000,0.1,6,2,1,43704979,2683624 ds1,1000000,0.05,6,2,1,43704979,2778210 ds1,1000000,0.2,6,2,1,43704979,2291993 @@ -1413,20 +1413,20 @@ ds1,1000000,0.3,6,1,1,43704979,2010094 ds1,1000000,0.5,6,1,1,43704979,2072470 ds1,1000000,0.7,6,1,1,43704979,2230022 ds1,1000000,0.9,6,1,1,43704979,2675238 -ds1,1000000,0.1,6,2,2,43704979,6466228 -ds1,1000000,0.05,6,2,2,43704979,6632991 -ds1,1000000,0.2,6,2,2,43704979,5856789 -ds1,1000000,0.3,6,2,2,43704979,5571082 -ds1,1000000,0.5,6,2,2,43704979,4438479 -ds1,1000000,0.7,6,2,2,43704979,3127547 -ds1,1000000,0.9,6,2,2,43704979,2014314 -ds1,1000000,0.1,6,1,2,43704979,6240395 -ds1,1000000,0.05,6,1,2,43704979,6632334 -ds1,1000000,0.2,6,1,2,43704979,5949999 -ds1,1000000,0.3,6,1,2,43704979,5336470 -ds1,1000000,0.5,6,1,2,43704979,3946377 -ds1,1000000,0.7,6,1,2,43704979,2426976 -ds1,1000000,0.9,6,1,2,43704979,1815547 +ds1,1000000,0.1,6,2,2,43704979,6467155 +ds1,1000000,0.05,6,2,2,43704979,6633331 +ds1,1000000,0.2,6,2,2,43704979,5857302 +ds1,1000000,0.3,6,2,2,43704979,5571303 +ds1,1000000,0.5,6,2,2,43704979,4439073 +ds1,1000000,0.7,6,2,2,43704979,3127557 +ds1,1000000,0.9,6,2,2,43704979,2013651 +ds1,1000000,0.1,6,1,2,43704979,6244899 +ds1,1000000,0.05,6,1,2,43704979,6635207 +ds1,1000000,0.2,6,1,2,43704979,5949211 +ds1,1000000,0.3,6,1,2,43704979,5336061 +ds1,1000000,0.5,6,1,2,43704979,3944031 +ds1,1000000,0.7,6,1,2,43704979,2425800 +ds1,1000000,0.9,6,1,2,43704979,1807612 ds1,2000000,0.1,0.9,2,1,43704979,11066833 ds1,2000000,0.05,0.9,2,1,43704979,11363375 ds1,2000000,0.2,0.9,2,1,43704979,10404143 @@ -1448,13 +1448,13 @@ ds1,2000000,0.3,0.9,2,2,43704979,10280492 ds1,2000000,0.5,0.9,2,2,43704979,7787698 ds1,2000000,0.7,0.9,2,2,43704979,6402470 ds1,2000000,0.9,0.9,2,2,43704979,5722800 -ds1,2000000,0.1,0.9,1,2,43704979,11903190 -ds1,2000000,0.05,0.9,1,2,43704979,12161891 +ds1,2000000,0.1,0.9,1,2,43704979,11903314 +ds1,2000000,0.05,0.9,1,2,43704979,12161875 ds1,2000000,0.2,0.9,1,2,43704979,10993515 ds1,2000000,0.3,0.9,1,2,43704979,9803640 ds1,2000000,0.5,0.9,1,2,43704979,7611721 ds1,2000000,0.7,0.9,1,2,43704979,7092650 -ds1,2000000,0.9,0.9,1,2,43704979,5244567 +ds1,2000000,0.9,0.9,1,2,43704979,5244574 ds1,2000000,0.1,3,2,1,43704979,7238094 ds1,2000000,0.05,3,2,1,43704979,7904657 ds1,2000000,0.2,3,2,1,43704979,6943341 @@ -1469,20 +1469,20 @@ ds1,2000000,0.3,3,1,1,43704979,6214674 ds1,2000000,0.5,3,1,1,43704979,5615282 ds1,2000000,0.7,3,1,1,43704979,5703065 ds1,2000000,0.9,3,1,1,43704979,4888019 -ds1,2000000,0.1,3,2,2,43704979,11688010 -ds1,2000000,0.05,3,2,2,43704979,12062981 -ds1,2000000,0.2,3,2,2,43704979,10854055 +ds1,2000000,0.1,3,2,2,43704979,11688383 +ds1,2000000,0.05,3,2,2,43704979,12062990 +ds1,2000000,0.2,3,2,2,43704979,10854047 ds1,2000000,0.3,3,2,2,43704979,9638823 -ds1,2000000,0.5,3,2,2,43704979,7464973 -ds1,2000000,0.7,3,2,2,43704979,5744884 -ds1,2000000,0.9,3,2,2,43704979,5419874 -ds1,2000000,0.1,3,1,2,43704979,11665420 -ds1,2000000,0.05,3,1,2,43704979,12123164 -ds1,2000000,0.2,3,1,2,43704979,10320022 -ds1,2000000,0.3,3,1,2,43704979,9204502 -ds1,2000000,0.5,3,1,2,43704979,7999288 -ds1,2000000,0.7,3,1,2,43704979,6831407 -ds1,2000000,0.9,3,1,2,43704979,4881141 +ds1,2000000,0.5,3,2,2,43704979,7464977 +ds1,2000000,0.7,3,2,2,43704979,5744818 +ds1,2000000,0.9,3,2,2,43704979,5419770 +ds1,2000000,0.1,3,1,2,43704979,11665998 +ds1,2000000,0.05,3,1,2,43704979,12123381 +ds1,2000000,0.2,3,1,2,43704979,10320011 +ds1,2000000,0.3,3,1,2,43704979,9204510 +ds1,2000000,0.5,3,1,2,43704979,7999176 +ds1,2000000,0.7,3,1,2,43704979,6815311 +ds1,2000000,0.9,3,1,2,43704979,4899686 ds1,2000000,0.1,6,2,1,43704979,6894078 ds1,2000000,0.05,6,2,1,43704979,7239145 ds1,2000000,0.2,6,2,1,43704979,6775511 @@ -1497,20 +1497,20 @@ ds1,2000000,0.3,6,1,1,43704979,6409604 ds1,2000000,0.5,6,1,1,43704979,6072336 ds1,2000000,0.7,6,1,1,43704979,5891266 ds1,2000000,0.9,6,1,1,43704979,5506812 -ds1,2000000,0.1,6,2,2,43704979,7860575 -ds1,2000000,0.05,6,2,2,43704979,8178792 -ds1,2000000,0.2,6,2,2,43704979,7243015 -ds1,2000000,0.3,6,2,2,43704979,6342915 -ds1,2000000,0.5,6,2,2,43704979,5365847 -ds1,2000000,0.7,6,2,2,43704979,5573934 -ds1,2000000,0.9,6,2,2,43704979,6204647 -ds1,2000000,0.1,6,1,2,43704979,7951032 -ds1,2000000,0.05,6,1,2,43704979,8186865 -ds1,2000000,0.2,6,1,2,43704979,7237058 -ds1,2000000,0.3,6,1,2,43704979,6241783 -ds1,2000000,0.5,6,1,2,43704979,5730801 -ds1,2000000,0.7,6,1,2,43704979,5552667 -ds1,2000000,0.9,6,1,2,43704979,4481476 +ds1,2000000,0.1,6,2,2,43704979,7860569 +ds1,2000000,0.05,6,2,2,43704979,8177770 +ds1,2000000,0.2,6,2,2,43704979,7246364 +ds1,2000000,0.3,6,2,2,43704979,6343765 +ds1,2000000,0.5,6,2,2,43704979,5362111 +ds1,2000000,0.7,6,2,2,43704979,5573287 +ds1,2000000,0.9,6,2,2,43704979,6224491 +ds1,2000000,0.1,6,1,2,43704979,7949233 +ds1,2000000,0.05,6,1,2,43704979,8187167 +ds1,2000000,0.2,6,1,2,43704979,7235589 +ds1,2000000,0.3,6,1,2,43704979,6210427 +ds1,2000000,0.5,6,1,2,43704979,5724677 +ds1,2000000,0.7,6,1,2,43704979,5712778 +ds1,2000000,0.9,6,1,2,43704979,5792673 ds1,3000000,0.1,0.9,2,1,43704979,13481498 ds1,3000000,0.05,0.9,2,1,43704979,14849125 ds1,3000000,0.2,0.9,2,1,43704979,12511137 @@ -1553,20 +1553,20 @@ ds1,3000000,0.3,3,1,1,43704979,11062781 ds1,3000000,0.5,3,1,1,43704979,10542935 ds1,3000000,0.7,3,1,1,43704979,10535447 ds1,3000000,0.9,3,1,1,43704979,10796159 -ds1,3000000,0.1,3,2,2,43704979,12650793 -ds1,3000000,0.05,3,2,2,43704979,12132857 -ds1,3000000,0.2,3,2,2,43704979,11439485 -ds1,3000000,0.3,3,2,2,43704979,11014426 -ds1,3000000,0.5,3,2,2,43704979,10548844 -ds1,3000000,0.7,3,2,2,43704979,9123756 -ds1,3000000,0.9,3,2,2,43704979,10172947 -ds1,3000000,0.1,3,1,2,43704979,12552963 -ds1,3000000,0.05,3,1,2,43704979,12107734 -ds1,3000000,0.2,3,1,2,43704979,11890146 -ds1,3000000,0.3,3,1,2,43704979,10749506 -ds1,3000000,0.5,3,1,2,43704979,11017701 -ds1,3000000,0.7,3,1,2,43704979,10055818 -ds1,3000000,0.9,3,1,2,43704979,8423444 +ds1,3000000,0.1,3,2,2,43704979,12653434 +ds1,3000000,0.05,3,2,2,43704979,12132985 +ds1,3000000,0.2,3,2,2,43704979,11432521 +ds1,3000000,0.3,3,2,2,43704979,11016417 +ds1,3000000,0.5,3,2,2,43704979,10549156 +ds1,3000000,0.7,3,2,2,43704979,9122607 +ds1,3000000,0.9,3,2,2,43704979,10173098 +ds1,3000000,0.1,3,1,2,43704979,12546091 +ds1,3000000,0.05,3,1,2,43704979,12101593 +ds1,3000000,0.2,3,1,2,43704979,11843883 +ds1,3000000,0.3,3,1,2,43704979,10632821 +ds1,3000000,0.5,3,1,2,43704979,10972809 +ds1,3000000,0.7,3,1,2,43704979,10268972 +ds1,3000000,0.9,3,1,2,43704979,8560065 ds1,3000000,0.1,6,2,1,43704979,12941825 ds1,3000000,0.05,6,2,1,43704979,12555228 ds1,3000000,0.2,6,2,1,43704979,11451873 @@ -1581,20 +1581,20 @@ ds1,3000000,0.3,6,1,1,43704979,11087793 ds1,3000000,0.5,6,1,1,43704979,10543055 ds1,3000000,0.7,6,1,1,43704979,10545866 ds1,3000000,0.9,6,1,1,43704979,10797333 -ds1,3000000,0.1,6,2,2,43704979,12641429 -ds1,3000000,0.05,6,2,2,43704979,12118272 -ds1,3000000,0.2,6,2,2,43704979,11431945 -ds1,3000000,0.3,6,2,2,43704979,11007342 -ds1,3000000,0.5,6,2,2,43704979,10534344 -ds1,3000000,0.7,6,2,2,43704979,9096425 -ds1,3000000,0.9,6,2,2,43704979,10171351 -ds1,3000000,0.1,6,1,2,43704979,12544391 -ds1,3000000,0.05,6,1,2,43704979,12092534 -ds1,3000000,0.2,6,1,2,43704979,11885249 -ds1,3000000,0.3,6,1,2,43704979,10744871 -ds1,3000000,0.5,6,1,2,43704979,11017365 -ds1,3000000,0.7,6,1,2,43704979,10055205 -ds1,3000000,0.9,6,1,2,43704979,8423436 +ds1,3000000,0.1,6,2,2,43704979,12644550 +ds1,3000000,0.05,6,2,2,43704979,12118546 +ds1,3000000,0.2,6,2,2,43704979,11424281 +ds1,3000000,0.3,6,2,2,43704979,11009905 +ds1,3000000,0.5,6,2,2,43704979,10533500 +ds1,3000000,0.7,6,2,2,43704979,9096513 +ds1,3000000,0.9,6,2,2,43704979,10171570 +ds1,3000000,0.1,6,1,2,43704979,12537879 +ds1,3000000,0.05,6,1,2,43704979,12086409 +ds1,3000000,0.2,6,1,2,43704979,11836172 +ds1,3000000,0.3,6,1,2,43704979,10627349 +ds1,3000000,0.5,6,1,2,43704979,10971693 +ds1,3000000,0.7,6,1,2,43704979,10267914 +ds1,3000000,0.9,6,1,2,43704979,8556789 ds1,4000000,0.1,0.9,2,1,43704979,13968176 ds1,4000000,0.05,0.9,2,1,43704979,14706722 ds1,4000000,0.2,0.9,2,1,43704979,12655802 @@ -1637,20 +1637,20 @@ ds1,4000000,0.3,3,1,1,43704979,13472816 ds1,4000000,0.5,3,1,1,43704979,11724382 ds1,4000000,0.7,3,1,1,43704979,12571494 ds1,4000000,0.9,3,1,1,43704979,12995180 -ds1,4000000,0.1,3,2,2,43704979,15863950 -ds1,4000000,0.05,3,2,2,43704979,16112623 -ds1,4000000,0.2,3,2,2,43704979,15154682 -ds1,4000000,0.3,3,2,2,43704979,13943865 -ds1,4000000,0.5,3,2,2,43704979,12674065 -ds1,4000000,0.7,3,2,2,43704979,11195194 -ds1,4000000,0.9,3,2,2,43704979,12023653 -ds1,4000000,0.1,3,1,2,43704979,15957264 -ds1,4000000,0.05,3,1,2,43704979,16210964 -ds1,4000000,0.2,3,1,2,43704979,15163519 -ds1,4000000,0.3,3,1,2,43704979,14664674 -ds1,4000000,0.5,3,1,2,43704979,12490330 -ds1,4000000,0.7,3,1,2,43704979,12201611 -ds1,4000000,0.9,3,1,2,43704979,11362659 +ds1,4000000,0.1,3,2,2,43704979,15859840 +ds1,4000000,0.05,3,2,2,43704979,16113203 +ds1,4000000,0.2,3,2,2,43704979,15154541 +ds1,4000000,0.3,3,2,2,43704979,13946497 +ds1,4000000,0.5,3,2,2,43704979,12675737 +ds1,4000000,0.7,3,2,2,43704979,11184395 +ds1,4000000,0.9,3,2,2,43704979,12024404 +ds1,4000000,0.1,3,1,2,43704979,15945722 +ds1,4000000,0.05,3,1,2,43704979,16203990 +ds1,4000000,0.2,3,1,2,43704979,15163626 +ds1,4000000,0.3,3,1,2,43704979,14667777 +ds1,4000000,0.5,3,1,2,43704979,12557337 +ds1,4000000,0.7,3,1,2,43704979,12196435 +ds1,4000000,0.9,3,1,2,43704979,10266196 ds1,4000000,0.1,6,2,1,43704979,14224390 ds1,4000000,0.05,6,2,1,43704979,14491647 ds1,4000000,0.2,6,2,1,43704979,13527524 @@ -1665,20 +1665,20 @@ ds1,4000000,0.3,6,1,1,43704979,13472816 ds1,4000000,0.5,6,1,1,43704979,11724494 ds1,4000000,0.7,6,1,1,43704979,12571494 ds1,4000000,0.9,6,1,1,43704979,12995180 -ds1,4000000,0.1,6,2,2,43704979,15863950 -ds1,4000000,0.05,6,2,2,43704979,16112623 -ds1,4000000,0.2,6,2,2,43704979,15154682 -ds1,4000000,0.3,6,2,2,43704979,13943865 -ds1,4000000,0.5,6,2,2,43704979,12674065 -ds1,4000000,0.7,6,2,2,43704979,11195194 -ds1,4000000,0.9,6,2,2,43704979,12023653 -ds1,4000000,0.1,6,1,2,43704979,15957264 -ds1,4000000,0.05,6,1,2,43704979,16210964 -ds1,4000000,0.2,6,1,2,43704979,15163519 -ds1,4000000,0.3,6,1,2,43704979,14664674 -ds1,4000000,0.5,6,1,2,43704979,12490330 -ds1,4000000,0.7,6,1,2,43704979,12201611 -ds1,4000000,0.9,6,1,2,43704979,11362659 +ds1,4000000,0.1,6,2,2,43704979,15859840 +ds1,4000000,0.05,6,2,2,43704979,16113203 +ds1,4000000,0.2,6,2,2,43704979,15154541 +ds1,4000000,0.3,6,2,2,43704979,13946497 +ds1,4000000,0.5,6,2,2,43704979,12675737 +ds1,4000000,0.7,6,2,2,43704979,11184395 +ds1,4000000,0.9,6,2,2,43704979,12024404 +ds1,4000000,0.1,6,1,2,43704979,15945722 +ds1,4000000,0.05,6,1,2,43704979,16203990 +ds1,4000000,0.2,6,1,2,43704979,15163626 +ds1,4000000,0.3,6,1,2,43704979,14667777 +ds1,4000000,0.5,6,1,2,43704979,12557337 +ds1,4000000,0.7,6,1,2,43704979,12196435 +ds1,4000000,0.9,6,1,2,43704979,10266196 ds1,5000000,0.1,0.9,2,1,43704979,16304253 ds1,5000000,0.05,0.9,2,1,43704979,16756854 ds1,5000000,0.2,0.9,2,1,43704979,15144394 @@ -1693,19 +1693,19 @@ ds1,5000000,0.3,0.9,1,1,43704979,14471627 ds1,5000000,0.5,0.9,1,1,43704979,14451338 ds1,5000000,0.7,0.9,1,1,43704979,15463964 ds1,5000000,0.9,0.9,1,1,43704979,15155465 -ds1,5000000,0.1,0.9,2,2,43704979,20911846 -ds1,5000000,0.05,0.9,2,2,43704979,21862605 -ds1,5000000,0.2,0.9,2,2,43704979,19554483 -ds1,5000000,0.3,0.9,2,2,43704979,18139010 +ds1,5000000,0.1,0.9,2,2,43704979,20912722 +ds1,5000000,0.05,0.9,2,2,43704979,21862873 +ds1,5000000,0.2,0.9,2,2,43704979,19554187 +ds1,5000000,0.3,0.9,2,2,43704979,18139882 ds1,5000000,0.5,0.9,2,2,43704979,15610909 ds1,5000000,0.7,0.9,2,2,43704979,12872038 ds1,5000000,0.9,0.9,2,2,43704979,11237056 -ds1,5000000,0.1,0.9,1,2,43704979,20573225 -ds1,5000000,0.05,0.9,1,2,43704979,21951064 -ds1,5000000,0.2,0.9,1,2,43704979,20186686 -ds1,5000000,0.3,0.9,1,2,43704979,18747766 -ds1,5000000,0.5,0.9,1,2,43704979,16723326 -ds1,5000000,0.7,0.9,1,2,43704979,13755124 +ds1,5000000,0.1,0.9,1,2,43704979,20572691 +ds1,5000000,0.05,0.9,1,2,43704979,21944268 +ds1,5000000,0.2,0.9,1,2,43704979,20190652 +ds1,5000000,0.3,0.9,1,2,43704979,18751940 +ds1,5000000,0.5,0.9,1,2,43704979,16728426 +ds1,5000000,0.7,0.9,1,2,43704979,13762380 ds1,5000000,0.9,0.9,1,2,43704979,11115398 ds1,5000000,0.1,3,2,1,43704979,16637664 ds1,5000000,0.05,3,2,1,43704979,17260382 @@ -1721,20 +1721,20 @@ ds1,5000000,0.3,3,1,1,43704979,14608042 ds1,5000000,0.5,3,1,1,43704979,14504365 ds1,5000000,0.7,3,1,1,43704979,15512308 ds1,5000000,0.9,3,1,1,43704979,15207073 -ds1,5000000,0.1,3,2,2,43704979,20274053 -ds1,5000000,0.05,3,2,2,43704979,21533064 -ds1,5000000,0.2,3,2,2,43704979,18529091 -ds1,5000000,0.3,3,2,2,43704979,16761515 -ds1,5000000,0.5,3,2,2,43704979,14198806 -ds1,5000000,0.7,3,2,2,43704979,13069057 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ds1,5000000,0.2,6,2,1,43704979,14256174 @@ -1749,20 +1749,20 @@ ds1,5000000,0.3,6,1,1,43704979,14608042 ds1,5000000,0.5,6,1,1,43704979,14504365 ds1,5000000,0.7,6,1,1,43704979,15512308 ds1,5000000,0.9,6,1,1,43704979,15207073 -ds1,5000000,0.1,6,2,2,43704979,20274053 -ds1,5000000,0.05,6,2,2,43704979,21533064 -ds1,5000000,0.2,6,2,2,43704979,18529091 -ds1,5000000,0.3,6,2,2,43704979,16761515 -ds1,5000000,0.5,6,2,2,43704979,14198806 -ds1,5000000,0.7,6,2,2,43704979,13069057 -ds1,5000000,0.9,6,2,2,43704979,13960037 -ds1,5000000,0.1,6,1,2,43704979,20304531 -ds1,5000000,0.05,6,1,2,43704979,21342711 -ds1,5000000,0.2,6,1,2,43704979,18583899 -ds1,5000000,0.3,6,1,2,43704979,16951994 -ds1,5000000,0.5,6,1,2,43704979,14936911 -ds1,5000000,0.7,6,1,2,43704979,11901682 -ds1,5000000,0.9,6,1,2,43704979,15451973 +ds1,5000000,0.1,6,2,2,43704979,20272779 +ds1,5000000,0.05,6,2,2,43704979,21533604 +ds1,5000000,0.2,6,2,2,43704979,18530375 +ds1,5000000,0.3,6,2,2,43704979,16761085 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+1973,20 @@ ds1,8000000,0.3,3,1,1,43704979,24440317 ds1,8000000,0.5,3,1,1,43704979,24454304 ds1,8000000,0.7,3,1,1,43704979,25651967 ds1,8000000,0.9,3,1,1,43704979,22733668 -ds1,8000000,0.1,3,2,2,43704979,29212893 -ds1,8000000,0.05,3,2,2,43704979,30375342 -ds1,8000000,0.2,3,2,2,43704979,27571926 -ds1,8000000,0.3,3,2,2,43704979,26354362 -ds1,8000000,0.5,3,2,2,43704979,25212284 -ds1,8000000,0.7,3,2,2,43704979,23005163 -ds1,8000000,0.9,3,2,2,43704979,21557855 -ds1,8000000,0.1,3,1,2,43704979,29420519 -ds1,8000000,0.05,3,1,2,43704979,30583756 -ds1,8000000,0.2,3,1,2,43704979,26905470 -ds1,8000000,0.3,3,1,2,43704979,25945791 -ds1,8000000,0.5,3,1,2,43704979,24642533 -ds1,8000000,0.7,3,1,2,43704979,25649815 -ds1,8000000,0.9,3,1,2,43704979,20939048 +ds1,8000000,0.1,3,2,2,43704979,29211945 +ds1,8000000,0.05,3,2,2,43704979,30375718 +ds1,8000000,0.2,3,2,2,43704979,27566525 +ds1,8000000,0.3,3,2,2,43704979,26355127 +ds1,8000000,0.5,3,2,2,43704979,25284826 +ds1,8000000,0.7,3,2,2,43704979,23047739 +ds1,8000000,0.9,3,2,2,43704979,21686248 +ds1,8000000,0.1,3,1,2,43704979,29421307 +ds1,8000000,0.05,3,1,2,43704979,30584295 +ds1,8000000,0.2,3,1,2,43704979,26905706 +ds1,8000000,0.3,3,1,2,43704979,25945095 +ds1,8000000,0.5,3,1,2,43704979,24642665 +ds1,8000000,0.7,3,1,2,43704979,25649871 +ds1,8000000,0.9,3,1,2,43704979,20306724 ds1,8000000,0.1,6,2,1,43704979,28368097 ds1,8000000,0.05,6,2,1,43704979,29631520 ds1,8000000,0.2,6,2,1,43704979,27422791 @@ -2001,20 +2001,20 @@ ds1,8000000,0.3,6,1,1,43704979,24440317 ds1,8000000,0.5,6,1,1,43704979,24454304 ds1,8000000,0.7,6,1,1,43704979,25651967 ds1,8000000,0.9,6,1,1,43704979,22733668 -ds1,8000000,0.1,6,2,2,43704979,29212893 -ds1,8000000,0.05,6,2,2,43704979,30375342 -ds1,8000000,0.2,6,2,2,43704979,27571926 -ds1,8000000,0.3,6,2,2,43704979,26354362 -ds1,8000000,0.5,6,2,2,43704979,25212284 -ds1,8000000,0.7,6,2,2,43704979,23005163 -ds1,8000000,0.9,6,2,2,43704979,21557855 -ds1,8000000,0.1,6,1,2,43704979,29420519 -ds1,8000000,0.05,6,1,2,43704979,30583756 -ds1,8000000,0.2,6,1,2,43704979,26905470 -ds1,8000000,0.3,6,1,2,43704979,25945791 -ds1,8000000,0.5,6,1,2,43704979,24642533 -ds1,8000000,0.7,6,1,2,43704979,25649815 -ds1,8000000,0.9,6,1,2,43704979,20939048 +ds1,8000000,0.1,6,2,2,43704979,29211945 +ds1,8000000,0.05,6,2,2,43704979,30375718 +ds1,8000000,0.2,6,2,2,43704979,27566525 +ds1,8000000,0.3,6,2,2,43704979,26355127 +ds1,8000000,0.5,6,2,2,43704979,25284826 +ds1,8000000,0.7,6,2,2,43704979,23047739 +ds1,8000000,0.9,6,2,2,43704979,21686248 +ds1,8000000,0.1,6,1,2,43704979,29421307 +ds1,8000000,0.05,6,1,2,43704979,30584295 +ds1,8000000,0.2,6,1,2,43704979,26905706 +ds1,8000000,0.3,6,1,2,43704979,25945095 +ds1,8000000,0.5,6,1,2,43704979,24642665 +ds1,8000000,0.7,6,1,2,43704979,25649871 +ds1,8000000,0.9,6,1,2,43704979,20306724 oltp,250,0.1,0.9,2,1,914145,197892 oltp,250,0.05,0.9,2,1,914145,185422 oltp,250,0.2,0.9,2,1,914145,217408 @@ -2033,16 +2033,16 @@ oltp,250,0.1,0.9,2,2,914145,189180 oltp,250,0.05,0.9,2,2,914145,180279 oltp,250,0.2,0.9,2,2,914145,202991 oltp,250,0.3,0.9,2,2,914145,213203 -oltp,250,0.5,0.9,2,2,914145,216535 -oltp,250,0.7,0.9,2,2,914145,197433 +oltp,250,0.5,0.9,2,2,914145,216301 +oltp,250,0.7,0.9,2,2,914145,197335 oltp,250,0.9,0.9,2,2,914145,165034 oltp,250,0.1,0.9,1,2,914145,190363 oltp,250,0.05,0.9,1,2,914145,179394 oltp,250,0.2,0.9,1,2,914145,199274 oltp,250,0.3,0.9,1,2,914145,202248 oltp,250,0.5,0.9,1,2,914145,193291 -oltp,250,0.7,0.9,1,2,914145,176170 -oltp,250,0.9,0.9,1,2,914145,146490 +oltp,250,0.7,0.9,1,2,914145,176205 +oltp,250,0.9,0.9,1,2,914145,146496 oltp,250,0.1,3,2,1,914145,198704 oltp,250,0.05,3,2,1,914145,187175 oltp,250,0.2,3,2,1,914145,215331 @@ -2059,18 +2059,18 @@ oltp,250,0.7,3,1,1,914145,163998 oltp,250,0.9,3,1,1,914145,138598 oltp,250,0.1,3,2,2,914145,222097 oltp,250,0.05,3,2,2,914145,213850 -oltp,250,0.2,3,2,2,914145,235061 +oltp,250,0.2,3,2,2,914145,235049 oltp,250,0.3,3,2,2,914145,240437 -oltp,250,0.5,3,2,2,914145,232993 -oltp,250,0.7,3,2,2,914145,207356 -oltp,250,0.9,3,2,2,914145,161423 -oltp,250,0.1,3,1,2,914145,213527 -oltp,250,0.05,3,1,2,914145,209802 -oltp,250,0.2,3,1,2,914145,217144 -oltp,250,0.3,3,1,2,914145,214856 -oltp,250,0.5,3,1,2,914145,200322 -oltp,250,0.7,3,1,2,914145,176606 -oltp,250,0.9,3,1,2,914145,142995 +oltp,250,0.5,3,2,2,914145,232923 +oltp,250,0.7,3,2,2,914145,207367 +oltp,250,0.9,3,2,2,914145,161506 +oltp,250,0.1,3,1,2,914145,213483 +oltp,250,0.05,3,1,2,914145,209931 +oltp,250,0.2,3,1,2,914145,217289 +oltp,250,0.3,3,1,2,914145,214915 +oltp,250,0.5,3,1,2,914145,200137 +oltp,250,0.7,3,1,2,914145,176670 +oltp,250,0.9,3,1,2,914145,144290 oltp,250,0.1,6,2,1,914145,191944 oltp,250,0.05,6,2,1,914145,181004 oltp,250,0.2,6,2,1,914145,205971 @@ -2088,17 +2088,17 @@ oltp,250,0.9,6,1,1,914145,137532 oltp,250,0.1,6,2,2,914145,223542 oltp,250,0.05,6,2,2,914145,215783 oltp,250,0.2,6,2,2,914145,235274 -oltp,250,0.3,6,2,2,914145,238695 -oltp,250,0.5,6,2,2,914145,227385 -oltp,250,0.7,6,2,2,914145,198414 -oltp,250,0.9,6,2,2,914145,152459 -oltp,250,0.1,6,1,2,914145,213635 -oltp,250,0.05,6,1,2,914145,211659 -oltp,250,0.2,6,1,2,914145,215850 -oltp,250,0.3,6,1,2,914145,212956 -oltp,250,0.5,6,1,2,914145,197229 -oltp,250,0.7,6,1,2,914145,172561 -oltp,250,0.9,6,1,2,914145,140629 +oltp,250,0.3,6,2,2,914145,238699 +oltp,250,0.5,6,2,2,914145,227250 +oltp,250,0.7,6,2,2,914145,198376 +oltp,250,0.9,6,2,2,914145,153019 +oltp,250,0.1,6,1,2,914145,213549 +oltp,250,0.05,6,1,2,914145,211812 +oltp,250,0.2,6,1,2,914145,215712 +oltp,250,0.3,6,1,2,914145,213096 +oltp,250,0.5,6,1,2,914145,197080 +oltp,250,0.7,6,1,2,914145,172839 +oltp,250,0.9,6,1,2,914145,142790 oltp,500,0.1,0.9,2,1,914145,296205 oltp,500,0.05,0.9,2,1,914145,275492 oltp,500,0.2,0.9,2,1,914145,312234 @@ -2125,8 +2125,8 @@ oltp,500,0.05,0.9,1,2,914145,258116 oltp,500,0.2,0.9,1,2,914145,289201 oltp,500,0.3,0.9,1,2,914145,286185 oltp,500,0.5,0.9,1,2,914145,270229 -oltp,500,0.7,0.9,1,2,914145,241906 -oltp,500,0.9,0.9,1,2,914145,204450 +oltp,500,0.7,0.9,1,2,914145,241949 +oltp,500,0.9,0.9,1,2,914145,204484 oltp,500,0.1,3,2,1,914145,293935 oltp,500,0.05,3,2,1,914145,274940 oltp,500,0.2,3,2,1,914145,304549 @@ -2144,17 +2144,17 @@ oltp,500,0.9,3,1,1,914145,195057 oltp,500,0.1,3,2,2,914145,305835 oltp,500,0.05,3,2,2,914145,288930 oltp,500,0.2,3,2,2,914145,319793 -oltp,500,0.3,3,2,2,914145,321277 -oltp,500,0.5,3,2,2,914145,304756 -oltp,500,0.7,3,2,2,914145,268318 -oltp,500,0.9,3,2,2,914145,213829 -oltp,500,0.1,3,1,2,914145,294678 -oltp,500,0.05,3,1,2,914145,283117 -oltp,500,0.2,3,1,2,914145,298364 -oltp,500,0.3,3,1,2,914145,292988 -oltp,500,0.5,3,1,2,914145,269209 -oltp,500,0.7,3,1,2,914145,237805 -oltp,500,0.9,3,1,2,914145,199812 +oltp,500,0.3,3,2,2,914145,321241 +oltp,500,0.5,3,2,2,914145,304828 +oltp,500,0.7,3,2,2,914145,268405 +oltp,500,0.9,3,2,2,914145,214188 +oltp,500,0.1,3,1,2,914145,294604 +oltp,500,0.05,3,1,2,914145,283179 +oltp,500,0.2,3,1,2,914145,298408 +oltp,500,0.3,3,1,2,914145,293159 +oltp,500,0.5,3,1,2,914145,269517 +oltp,500,0.7,3,1,2,914145,238310 +oltp,500,0.9,3,1,2,914145,201779 oltp,500,0.1,6,2,1,914145,284996 oltp,500,0.05,6,2,1,914145,269029 oltp,500,0.2,6,2,1,914145,292263 @@ -2169,20 +2169,20 @@ oltp,500,0.3,6,1,1,914145,269801 oltp,500,0.5,6,1,1,914145,250022 oltp,500,0.7,6,1,1,914145,221715 oltp,500,0.9,6,1,1,914145,194982 -oltp,500,0.1,6,2,2,914145,308707 +oltp,500,0.1,6,2,2,914145,308697 oltp,500,0.05,6,2,2,914145,292477 -oltp,500,0.2,6,2,2,914145,321015 -oltp,500,0.3,6,2,2,914145,319038 -oltp,500,0.5,6,2,2,914145,296306 -oltp,500,0.7,6,2,2,914145,258230 -oltp,500,0.9,6,2,2,914145,206827 -oltp,500,0.1,6,1,2,914145,294019 -oltp,500,0.05,6,1,2,914145,286704 -oltp,500,0.2,6,1,2,914145,296083 -oltp,500,0.3,6,1,2,914145,289541 -oltp,500,0.5,6,1,2,914145,265755 -oltp,500,0.7,6,1,2,914145,233995 -oltp,500,0.9,6,1,2,914145,197538 +oltp,500,0.2,6,2,2,914145,321060 +oltp,500,0.3,6,2,2,914145,319076 +oltp,500,0.5,6,2,2,914145,296526 +oltp,500,0.7,6,2,2,914145,258357 +oltp,500,0.9,6,2,2,914145,207676 +oltp,500,0.1,6,1,2,914145,294153 +oltp,500,0.05,6,1,2,914145,286667 +oltp,500,0.2,6,1,2,914145,296138 +oltp,500,0.3,6,1,2,914145,289810 +oltp,500,0.5,6,1,2,914145,265967 +oltp,500,0.7,6,1,2,914145,234989 +oltp,500,0.9,6,1,2,914145,200189 oltp,750,0.1,0.9,2,1,914145,344611 oltp,750,0.05,0.9,2,1,914145,325716 oltp,750,0.2,0.9,2,1,914145,354333 @@ -2209,8 +2209,8 @@ oltp,750,0.05,0.9,1,2,914145,308741 oltp,750,0.2,0.9,1,2,914145,334405 oltp,750,0.3,0.9,1,2,914145,334436 oltp,750,0.5,0.9,1,2,914145,315476 -oltp,750,0.7,0.9,1,2,914145,281970 -oltp,750,0.9,0.9,1,2,914145,244567 +oltp,750,0.7,0.9,1,2,914145,281977 +oltp,750,0.9,0.9,1,2,914145,244639 oltp,750,0.1,3,2,1,914145,345796 oltp,750,0.05,3,2,1,914145,329253 oltp,750,0.2,3,2,1,914145,351115 @@ -2228,17 +2228,17 @@ oltp,750,0.9,3,1,1,914145,238199 oltp,750,0.1,3,2,2,914145,348628 oltp,750,0.05,3,2,2,914145,331997 oltp,750,0.2,3,2,2,914145,357802 -oltp,750,0.3,3,2,2,914145,356647 -oltp,750,0.5,3,2,2,914145,343931 -oltp,750,0.7,3,2,2,914145,308028 -oltp,750,0.9,3,2,2,914145,251505 -oltp,750,0.1,3,1,2,914145,338676 -oltp,750,0.05,3,1,2,914145,326208 -oltp,750,0.2,3,1,2,914145,343906 -oltp,750,0.3,3,1,2,914145,339399 -oltp,750,0.5,3,1,2,914145,314148 -oltp,750,0.7,3,1,2,914145,278065 -oltp,750,0.9,3,1,2,914145,240430 +oltp,750,0.3,3,2,2,914145,356708 +oltp,750,0.5,3,2,2,914145,343917 +oltp,750,0.7,3,2,2,914145,308308 +oltp,750,0.9,3,2,2,914145,252285 +oltp,750,0.1,3,1,2,914145,338614 +oltp,750,0.05,3,1,2,914145,326192 +oltp,750,0.2,3,1,2,914145,343923 +oltp,750,0.3,3,1,2,914145,339507 +oltp,750,0.5,3,1,2,914145,314509 +oltp,750,0.7,3,1,2,914145,278559 +oltp,750,0.9,3,1,2,914145,242150 oltp,750,0.1,6,2,1,914145,337806 oltp,750,0.05,6,2,1,914145,324128 oltp,750,0.2,6,2,1,914145,339662 @@ -2253,20 +2253,20 @@ oltp,750,0.3,6,1,1,914145,317203 oltp,750,0.5,6,1,1,914145,289084 oltp,750,0.7,6,1,1,914145,263510 oltp,750,0.9,6,1,1,914145,239733 -oltp,750,0.1,6,2,2,914145,351367 -oltp,750,0.05,6,2,2,914145,334917 -oltp,750,0.2,6,2,2,914145,359177 -oltp,750,0.3,6,2,2,914145,356342 -oltp,750,0.5,6,2,2,914145,337967 -oltp,750,0.7,6,2,2,914145,297241 -oltp,750,0.9,6,2,2,914145,245872 -oltp,750,0.1,6,1,2,914145,340414 -oltp,750,0.05,6,1,2,914145,328772 -oltp,750,0.2,6,1,2,914145,343789 -oltp,750,0.3,6,1,2,914145,336176 -oltp,750,0.5,6,1,2,914145,309421 -oltp,750,0.7,6,1,2,914145,274578 -oltp,750,0.9,6,1,2,914145,238571 +oltp,750,0.1,6,2,2,914145,351360 +oltp,750,0.05,6,2,2,914145,334906 +oltp,750,0.2,6,2,2,914145,359182 +oltp,750,0.3,6,2,2,914145,356347 +oltp,750,0.5,6,2,2,914145,337936 +oltp,750,0.7,6,2,2,914145,297460 +oltp,750,0.9,6,2,2,914145,246908 +oltp,750,0.1,6,1,2,914145,340273 +oltp,750,0.05,6,1,2,914145,328681 +oltp,750,0.2,6,1,2,914145,343696 +oltp,750,0.3,6,1,2,914145,336511 +oltp,750,0.5,6,1,2,914145,310212 +oltp,750,0.7,6,1,2,914145,275535 +oltp,750,0.9,6,1,2,914145,241107 oltp,1000,0.1,0.9,2,1,914145,373166 oltp,1000,0.05,0.9,2,1,914145,358783 oltp,1000,0.2,0.9,2,1,914145,378711 @@ -2292,9 +2292,9 @@ oltp,1000,0.1,0.9,1,2,914145,357288 oltp,1000,0.05,0.9,1,2,914145,342572 oltp,1000,0.2,0.9,1,2,914145,362730 oltp,1000,0.3,0.9,1,2,914145,361547 -oltp,1000,0.5,0.9,1,2,914145,350274 -oltp,1000,0.7,0.9,1,2,914145,315043 -oltp,1000,0.9,0.9,1,2,914145,278911 +oltp,1000,0.5,0.9,1,2,914145,350285 +oltp,1000,0.7,0.9,1,2,914145,315159 +oltp,1000,0.9,0.9,1,2,914145,279089 oltp,1000,0.1,3,2,1,914145,372339 oltp,1000,0.05,3,2,1,914145,360650 oltp,1000,0.2,3,2,1,914145,374111 @@ -2311,18 +2311,18 @@ oltp,1000,0.7,3,1,1,914145,301652 oltp,1000,0.9,3,1,1,914145,273903 oltp,1000,0.1,3,2,2,914145,375458 oltp,1000,0.05,3,2,2,914145,361736 -oltp,1000,0.2,3,2,2,914145,381554 -oltp,1000,0.3,3,2,2,914145,379901 -oltp,1000,0.5,3,2,2,914145,368265 -oltp,1000,0.7,3,2,2,914145,338848 -oltp,1000,0.9,3,2,2,914145,283982 -oltp,1000,0.1,3,1,2,914145,367898 -oltp,1000,0.05,3,1,2,914145,357046 -oltp,1000,0.2,3,1,2,914145,370184 -oltp,1000,0.3,3,1,2,914145,366682 -oltp,1000,0.5,3,1,2,914145,347887 -oltp,1000,0.7,3,1,2,914145,310351 -oltp,1000,0.9,3,1,2,914145,274715 +oltp,1000,0.2,3,2,2,914145,381557 +oltp,1000,0.3,3,2,2,914145,379921 +oltp,1000,0.5,3,2,2,914145,368264 +oltp,1000,0.7,3,2,2,914145,339151 +oltp,1000,0.9,3,2,2,914145,284782 +oltp,1000,0.1,3,1,2,914145,367883 +oltp,1000,0.05,3,1,2,914145,357005 +oltp,1000,0.2,3,1,2,914145,370171 +oltp,1000,0.3,3,1,2,914145,366571 +oltp,1000,0.5,3,1,2,914145,348340 +oltp,1000,0.7,3,1,2,914145,311572 +oltp,1000,0.9,3,1,2,914145,277061 oltp,1000,0.1,6,2,1,914145,367382 oltp,1000,0.05,6,2,1,914145,357315 oltp,1000,0.2,6,2,1,914145,367946 @@ -2337,20 +2337,20 @@ oltp,1000,0.3,6,1,1,914145,351342 oltp,1000,0.5,6,1,1,914145,325458 oltp,1000,0.7,6,1,1,914145,298880 oltp,1000,0.9,6,1,1,914145,274583 -oltp,1000,0.1,6,2,2,914145,378238 -oltp,1000,0.05,6,2,2,914145,364938 -oltp,1000,0.2,6,2,2,914145,382579 -oltp,1000,0.3,6,2,2,914145,378765 -oltp,1000,0.5,6,2,2,914145,364682 -oltp,1000,0.7,6,2,2,914145,329746 -oltp,1000,0.9,6,2,2,914145,279023 -oltp,1000,0.1,6,1,2,914145,368565 -oltp,1000,0.05,6,1,2,914145,358812 -oltp,1000,0.2,6,1,2,914145,369972 -oltp,1000,0.3,6,1,2,914145,365522 -oltp,1000,0.5,6,1,2,914145,342677 -oltp,1000,0.7,6,1,2,914145,307204 -oltp,1000,0.9,6,1,2,914145,273552 +oltp,1000,0.1,6,2,2,914145,378237 +oltp,1000,0.05,6,2,2,914145,364952 +oltp,1000,0.2,6,2,2,914145,382458 +oltp,1000,0.3,6,2,2,914145,378756 +oltp,1000,0.5,6,2,2,914145,364789 +oltp,1000,0.7,6,2,2,914145,329920 +oltp,1000,0.9,6,2,2,914145,280540 +oltp,1000,0.1,6,1,2,914145,368326 +oltp,1000,0.05,6,1,2,914145,358668 +oltp,1000,0.2,6,1,2,914145,369947 +oltp,1000,0.3,6,1,2,914145,365528 +oltp,1000,0.5,6,1,2,914145,343851 +oltp,1000,0.7,6,1,2,914145,308664 +oltp,1000,0.9,6,1,2,914145,276205 oltp,1250,0.1,0.9,2,1,914145,392230 oltp,1250,0.05,0.9,2,1,914145,380962 oltp,1250,0.2,0.9,2,1,914145,395450 @@ -2376,9 +2376,9 @@ oltp,1250,0.1,0.9,1,2,914145,379112 oltp,1250,0.05,0.9,1,2,914145,366603 oltp,1250,0.2,0.9,1,2,914145,383360 oltp,1250,0.3,0.9,1,2,914145,381337 -oltp,1250,0.5,0.9,1,2,914145,372122 -oltp,1250,0.7,0.9,1,2,914145,343919 -oltp,1250,0.9,0.9,1,2,914145,305490 +oltp,1250,0.5,0.9,1,2,914145,372147 +oltp,1250,0.7,0.9,1,2,914145,343945 +oltp,1250,0.9,0.9,1,2,914145,305563 oltp,1250,0.1,3,2,1,914145,391770 oltp,1250,0.05,3,2,1,914145,383034 oltp,1250,0.2,3,2,1,914145,391332 @@ -2393,20 +2393,20 @@ oltp,1250,0.3,3,1,1,914145,379358 oltp,1250,0.5,3,1,1,914145,359078 oltp,1250,0.7,3,1,1,914145,329139 oltp,1250,0.9,3,1,1,914145,300619 -oltp,1250,0.1,3,2,2,914145,393624 -oltp,1250,0.05,3,2,2,914145,381991 -oltp,1250,0.2,3,2,2,914145,398013 -oltp,1250,0.3,3,2,2,914145,396552 -oltp,1250,0.5,3,2,2,914145,386302 -oltp,1250,0.7,3,2,2,914145,363431 -oltp,1250,0.9,3,2,2,914145,308902 -oltp,1250,0.1,3,1,2,914145,388241 -oltp,1250,0.05,3,1,2,914145,379142 -oltp,1250,0.2,3,1,2,914145,389585 -oltp,1250,0.3,3,1,2,914145,385724 -oltp,1250,0.5,3,1,2,914145,372636 -oltp,1250,0.7,3,1,2,914145,340201 -oltp,1250,0.9,3,1,2,914145,301700 +oltp,1250,0.1,3,2,2,914145,393628 +oltp,1250,0.05,3,2,2,914145,382005 +oltp,1250,0.2,3,2,2,914145,398045 +oltp,1250,0.3,3,2,2,914145,396553 +oltp,1250,0.5,3,2,2,914145,386264 +oltp,1250,0.7,3,2,2,914145,363583 +oltp,1250,0.9,3,2,2,914145,310310 +oltp,1250,0.1,3,1,2,914145,388174 +oltp,1250,0.05,3,1,2,914145,379090 +oltp,1250,0.2,3,1,2,914145,389524 +oltp,1250,0.3,3,1,2,914145,385624 +oltp,1250,0.5,3,1,2,914145,372730 +oltp,1250,0.7,3,1,2,914145,340964 +oltp,1250,0.9,3,1,2,914145,303926 oltp,1250,0.1,6,2,1,914145,387361 oltp,1250,0.05,6,2,1,914145,379789 oltp,1250,0.2,6,2,1,914145,386582 @@ -2421,20 +2421,20 @@ oltp,1250,0.3,6,1,1,914145,375961 oltp,1250,0.5,6,1,1,914145,353914 oltp,1250,0.7,6,1,1,914145,327266 oltp,1250,0.9,6,1,1,914145,301631 -oltp,1250,0.1,6,2,2,914145,397646 -oltp,1250,0.05,6,2,2,914145,386468 -oltp,1250,0.2,6,2,2,914145,399763 -oltp,1250,0.3,6,2,2,914145,396138 -oltp,1250,0.5,6,2,2,914145,383005 -oltp,1250,0.7,6,2,2,914145,354780 -oltp,1250,0.9,6,2,2,914145,304588 -oltp,1250,0.1,6,1,2,914145,388695 -oltp,1250,0.05,6,1,2,914145,381123 -oltp,1250,0.2,6,1,2,914145,389168 -oltp,1250,0.3,6,1,2,914145,384695 -oltp,1250,0.5,6,1,2,914145,369440 -oltp,1250,0.7,6,1,2,914145,336367 -oltp,1250,0.9,6,1,2,914145,300789 +oltp,1250,0.1,6,2,2,914145,397622 +oltp,1250,0.05,6,2,2,914145,386473 +oltp,1250,0.2,6,2,2,914145,399724 +oltp,1250,0.3,6,2,2,914145,396134 +oltp,1250,0.5,6,2,2,914145,383120 +oltp,1250,0.7,6,2,2,914145,355064 +oltp,1250,0.9,6,2,2,914145,306521 +oltp,1250,0.1,6,1,2,914145,388520 +oltp,1250,0.05,6,1,2,914145,380876 +oltp,1250,0.2,6,1,2,914145,389032 +oltp,1250,0.3,6,1,2,914145,384621 +oltp,1250,0.5,6,1,2,914145,370040 +oltp,1250,0.7,6,1,2,914145,338008 +oltp,1250,0.9,6,1,2,914145,303407 oltp,1500,0.1,0.9,2,1,914145,407106 oltp,1500,0.05,0.9,2,1,914145,398101 oltp,1500,0.2,0.9,2,1,914145,409254 @@ -2460,9 +2460,9 @@ oltp,1500,0.1,0.9,1,2,914145,395125 oltp,1500,0.05,0.9,1,2,914145,384705 oltp,1500,0.2,0.9,1,2,914145,398805 oltp,1500,0.3,0.9,1,2,914145,397652 -oltp,1500,0.5,0.9,1,2,914145,389132 -oltp,1500,0.7,0.9,1,2,914145,366275 -oltp,1500,0.9,0.9,1,2,914145,327851 +oltp,1500,0.5,0.9,1,2,914145,389125 +oltp,1500,0.7,0.9,1,2,914145,366225 +oltp,1500,0.9,0.9,1,2,914145,327970 oltp,1500,0.1,3,2,1,914145,406719 oltp,1500,0.05,3,2,1,914145,399900 oltp,1500,0.2,3,2,1,914145,405851 @@ -2477,20 +2477,20 @@ oltp,1500,0.3,3,1,1,914145,395653 oltp,1500,0.5,3,1,1,914145,380733 oltp,1500,0.7,3,1,1,914145,352025 oltp,1500,0.9,3,1,1,914145,323643 -oltp,1500,0.1,3,2,2,914145,408477 +oltp,1500,0.1,3,2,2,914145,408471 oltp,1500,0.05,3,2,2,914145,398615 -oltp,1500,0.2,3,2,2,914145,411696 -oltp,1500,0.3,3,2,2,914145,410376 -oltp,1500,0.5,3,2,2,914145,401515 -oltp,1500,0.7,3,2,2,914145,381710 -oltp,1500,0.9,3,2,2,914145,330194 -oltp,1500,0.1,3,1,2,914145,403891 -oltp,1500,0.05,3,1,2,914145,396859 -oltp,1500,0.2,3,1,2,914145,404583 -oltp,1500,0.3,3,1,2,914145,401120 -oltp,1500,0.5,3,1,2,914145,389489 -oltp,1500,0.7,3,1,2,914145,361638 -oltp,1500,0.9,3,1,2,914145,324455 +oltp,1500,0.2,3,2,2,914145,411682 +oltp,1500,0.3,3,2,2,914145,410369 +oltp,1500,0.5,3,2,2,914145,401437 +oltp,1500,0.7,3,2,2,914145,381711 +oltp,1500,0.9,3,2,2,914145,331288 +oltp,1500,0.1,3,1,2,914145,403804 +oltp,1500,0.05,3,1,2,914145,396827 +oltp,1500,0.2,3,1,2,914145,404535 +oltp,1500,0.3,3,1,2,914145,401021 +oltp,1500,0.5,3,1,2,914145,389501 +oltp,1500,0.7,3,1,2,914145,363193 +oltp,1500,0.9,3,1,2,914145,326320 oltp,1500,0.1,6,2,1,914145,403640 oltp,1500,0.05,6,2,1,914145,397917 oltp,1500,0.2,6,2,1,914145,401904 @@ -2505,20 +2505,20 @@ oltp,1500,0.3,6,1,1,914145,393002 oltp,1500,0.5,6,1,1,914145,375557 oltp,1500,0.7,6,1,1,914145,350154 oltp,1500,0.9,6,1,1,914145,324135 -oltp,1500,0.1,6,2,2,914145,411972 -oltp,1500,0.05,6,2,2,914145,402999 -oltp,1500,0.2,6,2,2,914145,413560 -oltp,1500,0.3,6,2,2,914145,410833 -oltp,1500,0.5,6,2,2,914145,398508 -oltp,1500,0.7,6,2,2,914145,375374 -oltp,1500,0.9,6,2,2,914145,326272 -oltp,1500,0.1,6,1,2,914145,404597 -oltp,1500,0.05,6,1,2,914145,398580 -oltp,1500,0.2,6,1,2,914145,404118 -oltp,1500,0.3,6,1,2,914145,400058 -oltp,1500,0.5,6,1,2,914145,387614 -oltp,1500,0.7,6,1,2,914145,358390 -oltp,1500,0.9,6,1,2,914145,323812 +oltp,1500,0.1,6,2,2,914145,411968 +oltp,1500,0.05,6,2,2,914145,403012 +oltp,1500,0.2,6,2,2,914145,413538 +oltp,1500,0.3,6,2,2,914145,410764 +oltp,1500,0.5,6,2,2,914145,398578 +oltp,1500,0.7,6,2,2,914145,375582 +oltp,1500,0.9,6,2,2,914145,328025 +oltp,1500,0.1,6,1,2,914145,404339 +oltp,1500,0.05,6,1,2,914145,398400 +oltp,1500,0.2,6,1,2,914145,403888 +oltp,1500,0.3,6,1,2,914145,400004 +oltp,1500,0.5,6,1,2,914145,387720 +oltp,1500,0.7,6,1,2,914145,360398 +oltp,1500,0.9,6,1,2,914145,326215 oltp,1750,0.1,0.9,2,1,914145,419380 oltp,1750,0.05,0.9,2,1,914145,411916 oltp,1750,0.2,0.9,2,1,914145,421117 @@ -2539,14 +2539,14 @@ oltp,1750,0.2,0.9,2,2,914145,403643 oltp,1750,0.3,0.9,2,2,914145,405880 oltp,1750,0.5,0.9,2,2,914145,405117 oltp,1750,0.7,0.9,2,2,914145,395803 -oltp,1750,0.9,0.9,2,2,914145,359782 +oltp,1750,0.9,0.9,2,2,914145,359762 oltp,1750,0.1,0.9,1,2,914145,407715 oltp,1750,0.05,0.9,1,2,914145,399155 oltp,1750,0.2,0.9,1,2,914145,410597 -oltp,1750,0.3,0.9,1,2,914145,410358 -oltp,1750,0.5,0.9,1,2,914145,403657 -oltp,1750,0.7,0.9,1,2,914145,384744 -oltp,1750,0.9,0.9,1,2,914145,346949 +oltp,1750,0.3,0.9,1,2,914145,410352 +oltp,1750,0.5,0.9,1,2,914145,403654 +oltp,1750,0.7,0.9,1,2,914145,384739 +oltp,1750,0.9,0.9,1,2,914145,347038 oltp,1750,0.1,3,2,1,914145,419357 oltp,1750,0.05,3,2,1,914145,414220 oltp,1750,0.2,3,2,1,914145,418444 @@ -2561,20 +2561,20 @@ oltp,1750,0.3,3,1,1,914145,408983 oltp,1750,0.5,3,1,1,914145,396326 oltp,1750,0.7,3,1,1,914145,371036 oltp,1750,0.9,3,1,1,914145,341941 -oltp,1750,0.1,3,2,2,914145,420324 -oltp,1750,0.05,3,2,2,914145,411854 -oltp,1750,0.2,3,2,2,914145,422987 -oltp,1750,0.3,3,2,2,914145,421983 -oltp,1750,0.5,3,2,2,914145,414419 -oltp,1750,0.7,3,2,2,914145,395730 -oltp,1750,0.9,3,2,2,914145,348849 -oltp,1750,0.1,3,1,2,914145,416894 -oltp,1750,0.05,3,1,2,914145,410759 -oltp,1750,0.2,3,1,2,914145,416936 -oltp,1750,0.3,3,1,2,914145,413983 -oltp,1750,0.5,3,1,2,914145,403464 -oltp,1750,0.7,3,1,2,914145,380666 -oltp,1750,0.9,3,1,2,914145,342954 +oltp,1750,0.1,3,2,2,914145,420330 +oltp,1750,0.05,3,2,2,914145,411860 +oltp,1750,0.2,3,2,2,914145,422952 +oltp,1750,0.3,3,2,2,914145,422034 +oltp,1750,0.5,3,2,2,914145,414442 +oltp,1750,0.7,3,2,2,914145,395765 +oltp,1750,0.9,3,2,2,914145,350572 +oltp,1750,0.1,3,1,2,914145,416791 +oltp,1750,0.05,3,1,2,914145,410592 +oltp,1750,0.2,3,1,2,914145,416933 +oltp,1750,0.3,3,1,2,914145,413909 +oltp,1750,0.5,3,1,2,914145,403501 +oltp,1750,0.7,3,1,2,914145,381681 +oltp,1750,0.9,3,1,2,914145,345417 oltp,1750,0.1,6,2,1,914145,416458 oltp,1750,0.05,6,2,1,914145,412218 oltp,1750,0.2,6,2,1,914145,415017 @@ -2589,20 +2589,20 @@ oltp,1750,0.3,6,1,1,914145,406589 oltp,1750,0.5,6,1,1,914145,393365 oltp,1750,0.7,6,1,1,914145,369021 oltp,1750,0.9,6,1,1,914145,342317 -oltp,1750,0.1,6,2,2,914145,424044 -oltp,1750,0.05,6,2,2,914145,416566 -oltp,1750,0.2,6,2,2,914145,425160 -oltp,1750,0.3,6,2,2,914145,422810 -oltp,1750,0.5,6,2,2,914145,411514 -oltp,1750,0.7,6,2,2,914145,391378 -oltp,1750,0.9,6,2,2,914145,345321 -oltp,1750,0.1,6,1,2,914145,417899 -oltp,1750,0.05,6,1,2,914145,412725 -oltp,1750,0.2,6,1,2,914145,416790 -oltp,1750,0.3,6,1,2,914145,413173 -oltp,1750,0.5,6,1,2,914145,401386 -oltp,1750,0.7,6,1,2,914145,377221 -oltp,1750,0.9,6,1,2,914145,342218 +oltp,1750,0.1,6,2,2,914145,424048 +oltp,1750,0.05,6,2,2,914145,416568 +oltp,1750,0.2,6,2,2,914145,425178 +oltp,1750,0.3,6,2,2,914145,422809 +oltp,1750,0.5,6,2,2,914145,411546 +oltp,1750,0.7,6,2,2,914145,391453 +oltp,1750,0.9,6,2,2,914145,347265 +oltp,1750,0.1,6,1,2,914145,417705 +oltp,1750,0.05,6,1,2,914145,412573 +oltp,1750,0.2,6,1,2,914145,416653 +oltp,1750,0.3,6,1,2,914145,412937 +oltp,1750,0.5,6,1,2,914145,401630 +oltp,1750,0.7,6,1,2,914145,379158 +oltp,1750,0.9,6,1,2,914145,344802 oltp,2000,0.1,0.9,2,1,914145,429534 oltp,2000,0.05,0.9,2,1,914145,423249 oltp,2000,0.2,0.9,2,1,914145,431847 @@ -2627,10 +2627,10 @@ oltp,2000,0.9,0.9,2,2,914145,374614 oltp,2000,0.1,0.9,1,2,914145,418358 oltp,2000,0.05,0.9,1,2,914145,410573 oltp,2000,0.2,0.9,1,2,914145,421601 -oltp,2000,0.3,0.9,1,2,914145,421403 -oltp,2000,0.5,0.9,1,2,914145,415588 -oltp,2000,0.7,0.9,1,2,914145,399819 -oltp,2000,0.9,0.9,1,2,914145,362417 +oltp,2000,0.3,0.9,1,2,914145,421400 +oltp,2000,0.5,0.9,1,2,914145,415597 +oltp,2000,0.7,0.9,1,2,914145,399856 +oltp,2000,0.9,0.9,1,2,914145,362561 oltp,2000,0.1,3,2,1,914145,430404 oltp,2000,0.05,3,2,1,914145,426645 oltp,2000,0.2,3,2,1,914145,429470 @@ -2645,20 +2645,20 @@ oltp,2000,0.3,3,1,1,914145,420922 oltp,2000,0.5,3,1,1,914145,409201 oltp,2000,0.7,3,1,1,914145,386912 oltp,2000,0.9,3,1,1,914145,357554 -oltp,2000,0.1,3,2,2,914145,430243 -oltp,2000,0.05,3,2,2,914145,423035 +oltp,2000,0.1,3,2,2,914145,430242 +oltp,2000,0.05,3,2,2,914145,423032 oltp,2000,0.2,3,2,2,914145,432822 -oltp,2000,0.3,3,2,2,914145,432185 -oltp,2000,0.5,3,2,2,914145,425261 -oltp,2000,0.7,3,2,2,914145,408224 -oltp,2000,0.9,3,2,2,914145,364666 -oltp,2000,0.1,3,1,2,914145,427820 -oltp,2000,0.05,3,1,2,914145,422737 -oltp,2000,0.2,3,1,2,914145,428212 -oltp,2000,0.3,3,1,2,914145,425226 -oltp,2000,0.5,3,1,2,914145,415298 -oltp,2000,0.7,3,1,2,914145,395923 -oltp,2000,0.9,3,1,2,914145,358674 +oltp,2000,0.3,3,2,2,914145,432151 +oltp,2000,0.5,3,2,2,914145,425201 +oltp,2000,0.7,3,2,2,914145,408296 +oltp,2000,0.9,3,2,2,914145,366198 +oltp,2000,0.1,3,1,2,914145,427716 +oltp,2000,0.05,3,1,2,914145,422675 +oltp,2000,0.2,3,1,2,914145,428036 +oltp,2000,0.3,3,1,2,914145,425230 +oltp,2000,0.5,3,1,2,914145,415215 +oltp,2000,0.7,3,1,2,914145,396950 +oltp,2000,0.9,3,1,2,914145,360739 oltp,2000,0.1,6,2,1,914145,427656 oltp,2000,0.05,6,2,1,914145,424487 oltp,2000,0.2,6,2,1,914145,426529 @@ -2673,20 +2673,20 @@ oltp,2000,0.3,6,1,1,914145,418434 oltp,2000,0.5,6,1,1,914145,406372 oltp,2000,0.7,6,1,1,914145,384848 oltp,2000,0.9,6,1,1,914145,357759 -oltp,2000,0.1,6,2,2,914145,434392 -oltp,2000,0.05,6,2,2,914145,427935 -oltp,2000,0.2,6,2,2,914145,435525 -oltp,2000,0.3,6,2,2,914145,433154 -oltp,2000,0.5,6,2,2,914145,423112 -oltp,2000,0.7,6,2,2,914145,403716 -oltp,2000,0.9,6,2,2,914145,361185 -oltp,2000,0.1,6,1,2,914145,429318 -oltp,2000,0.05,6,1,2,914145,424755 -oltp,2000,0.2,6,1,2,914145,428437 -oltp,2000,0.3,6,1,2,914145,424658 -oltp,2000,0.5,6,1,2,914145,413377 -oltp,2000,0.7,6,1,2,914145,392718 -oltp,2000,0.9,6,1,2,914145,357801 +oltp,2000,0.1,6,2,2,914145,434381 +oltp,2000,0.05,6,2,2,914145,427939 +oltp,2000,0.2,6,2,2,914145,435540 +oltp,2000,0.3,6,2,2,914145,433120 +oltp,2000,0.5,6,2,2,914145,423031 +oltp,2000,0.7,6,2,2,914145,404000 +oltp,2000,0.9,6,2,2,914145,363330 +oltp,2000,0.1,6,1,2,914145,429037 +oltp,2000,0.05,6,1,2,914145,424531 +oltp,2000,0.2,6,1,2,914145,428332 +oltp,2000,0.3,6,1,2,914145,424459 +oltp,2000,0.5,6,1,2,914145,413374 +oltp,2000,0.7,6,1,2,914145,394530 +oltp,2000,0.9,6,1,2,914145,360458 p8,10000,0.1,0.9,2,1,42243785,5192552 p8,10000,0.05,0.9,2,1,42243785,5417087 p8,10000,0.2,0.9,2,1,42243785,4681205 @@ -2712,7 +2712,7 @@ p8,10000,0.1,0.9,1,2,42243785,4480476 p8,10000,0.05,0.9,1,2,42243785,4388862 p8,10000,0.2,0.9,1,2,42243785,4317359 p8,10000,0.3,0.9,1,2,42243785,4120521 -p8,10000,0.5,0.9,1,2,42243785,3374028 +p8,10000,0.5,0.9,1,2,42243785,3351584 p8,10000,0.7,0.9,1,2,42243785,2463178 p8,10000,0.9,0.9,1,2,42243785,1660686 p8,10000,0.1,3,2,1,42243785,4192152 @@ -2733,16 +2733,16 @@ p8,10000,0.1,3,2,2,42243785,5358631 p8,10000,0.05,3,2,2,42243785,5568827 p8,10000,0.2,3,2,2,42243785,4895459 p8,10000,0.3,3,2,2,42243785,4414442 -p8,10000,0.5,3,2,2,42243785,3518040 -p8,10000,0.7,3,2,2,42243785,2626993 -p8,10000,0.9,3,2,2,42243785,1768368 -p8,10000,0.1,3,1,2,42243785,5268311 -p8,10000,0.05,3,1,2,42243785,5503193 -p8,10000,0.2,3,1,2,42243785,4787021 -p8,10000,0.3,3,1,2,42243785,4299284 -p8,10000,0.5,3,1,2,42243785,3341643 -p8,10000,0.7,3,1,2,42243785,2408606 -p8,10000,0.9,3,1,2,42243785,1611101 +p8,10000,0.5,3,2,2,42243785,3516977 +p8,10000,0.7,3,2,2,42243785,2630773 +p8,10000,0.9,3,2,2,42243785,1767749 +p8,10000,0.1,3,1,2,42243785,5267762 +p8,10000,0.05,3,1,2,42243785,5510113 +p8,10000,0.2,3,1,2,42243785,4792999 +p8,10000,0.3,3,1,2,42243785,4298801 +p8,10000,0.5,3,1,2,42243785,3354323 +p8,10000,0.7,3,1,2,42243785,2412707 +p8,10000,0.9,3,1,2,42243785,1614674 p8,10000,0.1,6,2,1,42243785,3079531 p8,10000,0.05,6,2,1,42243785,3300493 p8,10000,0.2,6,2,1,42243785,2643019 @@ -2757,20 +2757,20 @@ p8,10000,0.3,6,1,1,42243785,2251626 p8,10000,0.5,6,1,1,42243785,1740161 p8,10000,0.7,6,1,1,42243785,1512708 p8,10000,0.9,6,1,1,42243785,1587407 -p8,10000,0.1,6,2,2,42243785,4980864 -p8,10000,0.05,6,2,2,42243785,5219580 -p8,10000,0.2,6,2,2,42243785,4471008 -p8,10000,0.3,6,2,2,42243785,3930400 -p8,10000,0.5,6,2,2,42243785,2957158 -p8,10000,0.7,6,2,2,42243785,2117591 -p8,10000,0.9,6,2,2,42243785,1534354 -p8,10000,0.1,6,1,2,42243785,4921225 -p8,10000,0.05,6,1,2,42243785,5167519 -p8,10000,0.2,6,1,2,42243785,4401243 -p8,10000,0.3,6,1,2,42243785,3850109 -p8,10000,0.5,6,1,2,42243785,2848193 -p8,10000,0.7,6,1,2,42243785,2005825 -p8,10000,0.9,6,1,2,42243785,1486973 +p8,10000,0.1,6,2,2,42243785,4980271 +p8,10000,0.05,6,2,2,42243785,5219468 +p8,10000,0.2,6,2,2,42243785,4471319 +p8,10000,0.3,6,2,2,42243785,3930964 +p8,10000,0.5,6,2,2,42243785,2957611 +p8,10000,0.7,6,2,2,42243785,2116766 +p8,10000,0.9,6,2,2,42243785,1534888 +p8,10000,0.1,6,1,2,42243785,4921333 +p8,10000,0.05,6,1,2,42243785,5167731 +p8,10000,0.2,6,1,2,42243785,4406094 +p8,10000,0.3,6,1,2,42243785,3850615 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p8,80000,0.2,3,2,1,42243785,20825434 @@ -3317,20 +3317,20 @@ p8,80000,0.3,3,1,1,42243785,20201714 p8,80000,0.5,3,1,1,42243785,19132395 p8,80000,0.7,3,1,1,42243785,18079193 p8,80000,0.9,3,1,1,42243785,17530423 -p8,80000,0.1,3,2,2,42243785,22215304 -p8,80000,0.05,3,2,2,42243785,22513913 -p8,80000,0.2,3,2,2,42243785,21661146 -p8,80000,0.3,3,2,2,42243785,21079460 -p8,80000,0.5,3,2,2,42243785,19759070 -p8,80000,0.7,3,2,2,42243785,18298669 -p8,80000,0.9,3,2,2,42243785,16734066 -p8,80000,0.1,3,1,2,42243785,22148221 -p8,80000,0.05,3,1,2,42243785,22450914 -p8,80000,0.2,3,1,2,42243785,21527954 -p8,80000,0.3,3,1,2,42243785,20783649 -p8,80000,0.5,3,1,2,42243785,19487212 -p8,80000,0.7,3,1,2,42243785,18039623 -p8,80000,0.9,3,1,2,42243785,16944049 +p8,80000,0.1,3,2,2,42243785,22205649 +p8,80000,0.05,3,2,2,42243785,22515562 +p8,80000,0.2,3,2,2,42243785,21659549 +p8,80000,0.3,3,2,2,42243785,21091998 +p8,80000,0.5,3,2,2,42243785,19809361 +p8,80000,0.7,3,2,2,42243785,18457146 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glimpse,500,0.1,6,2,1,6015,1143 glimpse,500,0.05,6,2,1,6015,1289 glimpse,500,0.2,6,2,1,6015,843 @@ -3519,14 +3519,14 @@ glimpse,500,0.2,6,2,2,6015,1196 glimpse,500,0.3,6,2,2,6015,990 glimpse,500,0.5,6,2,2,6015,590 glimpse,500,0.7,6,2,2,6015,364 -glimpse,500,0.9,6,2,2,6015,280 +glimpse,500,0.9,6,2,2,6015,279 glimpse,500,0.1,6,1,2,6015,1500 glimpse,500,0.05,6,1,2,6015,1646 glimpse,500,0.2,6,1,2,6015,1200 glimpse,500,0.3,6,1,2,6015,992 glimpse,500,0.5,6,1,2,6015,592 glimpse,500,0.7,6,1,2,6015,359 -glimpse,500,0.9,6,1,2,6015,254 +glimpse,500,0.9,6,1,2,6015,300 glimpse,750,0.1,0.9,2,1,6015,2351 glimpse,750,0.05,0.9,2,1,6015,2465 glimpse,750,0.2,0.9,2,1,6015,2091 @@ -3575,14 +3575,14 @@ glimpse,750,0.2,3,2,2,6015,1909 glimpse,750,0.3,3,2,2,6015,1459 glimpse,750,0.5,3,2,2,6015,845 glimpse,750,0.7,3,2,2,6015,631 -glimpse,750,0.9,3,2,2,6015,523 +glimpse,750,0.9,3,2,2,6015,525 glimpse,750,0.1,3,1,2,6015,2288 glimpse,750,0.05,3,1,2,6015,2460 glimpse,750,0.2,3,1,2,6015,1913 glimpse,750,0.3,3,1,2,6015,1463 -glimpse,750,0.5,3,1,2,6015,805 -glimpse,750,0.7,3,1,2,6015,415 -glimpse,750,0.9,3,1,2,6015,459 +glimpse,750,0.5,3,1,2,6015,848 +glimpse,750,0.7,3,1,2,6015,635 +glimpse,750,0.9,3,1,2,6015,531 glimpse,750,0.1,6,2,1,6015,1743 glimpse,750,0.05,6,2,1,6015,2000 glimpse,750,0.2,6,2,1,6015,1417 @@ -3603,14 +3603,14 @@ glimpse,750,0.2,6,2,2,6015,1909 glimpse,750,0.3,6,2,2,6015,1459 glimpse,750,0.5,6,2,2,6015,845 glimpse,750,0.7,6,2,2,6015,631 -glimpse,750,0.9,6,2,2,6015,523 +glimpse,750,0.9,6,2,2,6015,525 glimpse,750,0.1,6,1,2,6015,2288 glimpse,750,0.05,6,1,2,6015,2460 glimpse,750,0.2,6,1,2,6015,1913 glimpse,750,0.3,6,1,2,6015,1463 -glimpse,750,0.5,6,1,2,6015,805 -glimpse,750,0.7,6,1,2,6015,415 -glimpse,750,0.9,6,1,2,6015,459 +glimpse,750,0.5,6,1,2,6015,848 +glimpse,750,0.7,6,1,2,6015,635 +glimpse,750,0.9,6,1,2,6015,531 glimpse,1000,0.1,0.9,2,1,6015,2667 glimpse,1000,0.05,0.9,2,1,6015,2917 glimpse,1000,0.2,0.9,2,1,6015,2154 @@ -3665,8 +3665,8 @@ glimpse,1000,0.05,3,1,2,6015,2947 glimpse,1000,0.2,3,1,2,6015,2465 glimpse,1000,0.3,3,1,2,6015,2072 glimpse,1000,0.5,3,1,2,6015,1472 -glimpse,1000,0.7,3,1,2,6015,728 -glimpse,1000,0.9,3,1,2,6015,1154 +glimpse,1000,0.7,3,1,2,6015,1024 +glimpse,1000,0.9,3,1,2,6015,780 glimpse,1000,0.1,6,2,1,6015,2667 glimpse,1000,0.05,6,2,1,6015,2917 glimpse,1000,0.2,6,2,1,6015,2121 @@ -3693,8 +3693,8 @@ glimpse,1000,0.05,6,1,2,6015,2947 glimpse,1000,0.2,6,1,2,6015,2465 glimpse,1000,0.3,6,1,2,6015,2072 glimpse,1000,0.5,6,1,2,6015,1472 -glimpse,1000,0.7,6,1,2,6015,728 -glimpse,1000,0.9,6,1,2,6015,1154 +glimpse,1000,0.7,6,1,2,6015,1024 +glimpse,1000,0.9,6,1,2,6015,780 glimpse,1250,0.1,0.9,2,1,6015,3033 glimpse,1250,0.05,0.9,2,1,6015,3096 glimpse,1250,0.2,0.9,2,1,6015,2685 @@ -4108,13 +4108,13 @@ mixed,250,0.3,6,2,2,776904,165389 mixed,250,0.5,6,2,2,776904,156541 mixed,250,0.7,6,2,2,776904,147297 mixed,250,0.9,6,2,2,776904,138119 -mixed,250,0.1,6,1,2,776904,99481 -mixed,250,0.05,6,1,2,776904,75542 -mixed,250,0.2,6,1,2,776904,143262 -mixed,250,0.3,6,1,2,776904,134195 -mixed,250,0.5,6,1,2,776904,113523 -mixed,250,0.7,6,1,2,776904,103114 -mixed,250,0.9,6,1,2,776904,126631 +mixed,250,0.1,6,1,2,776904,118773 +mixed,250,0.05,6,1,2,776904,88995 +mixed,250,0.2,6,1,2,776904,170172 +mixed,250,0.3,6,1,2,776904,165092 +mixed,250,0.5,6,1,2,776904,155170 +mixed,250,0.7,6,1,2,776904,145548 +mixed,250,0.9,6,1,2,776904,136440 mixed,500,0.1,0.9,2,1,776904,90912 mixed,500,0.05,0.9,2,1,776904,73837 mixed,500,0.2,0.9,2,1,776904,90868 @@ -4164,13 +4164,13 @@ mixed,500,0.3,3,2,2,776904,253309 mixed,500,0.5,3,2,2,776904,232164 mixed,500,0.7,3,2,2,776904,211032 mixed,500,0.9,3,2,2,776904,190835 -mixed,500,0.1,3,1,2,776904,227737 -mixed,500,0.05,3,1,2,776904,186520 -mixed,500,0.2,3,1,2,776904,201091 -mixed,500,0.3,3,1,2,776904,186260 -mixed,500,0.5,3,1,2,776904,140688 -mixed,500,0.7,3,1,2,776904,135408 -mixed,500,0.9,3,1,2,776904,168212 +mixed,500,0.1,3,1,2,776904,275055 +mixed,500,0.05,3,1,2,776904,225368 +mixed,500,0.2,3,1,2,776904,262177 +mixed,500,0.3,3,1,2,776904,249465 +mixed,500,0.5,3,1,2,776904,225787 +mixed,500,0.7,3,1,2,776904,203743 +mixed,500,0.9,3,1,2,776904,183199 mixed,500,0.1,6,2,1,776904,255551 mixed,500,0.05,6,2,1,776904,238907 mixed,500,0.2,6,2,1,776904,255613 @@ -4192,13 +4192,13 @@ mixed,500,0.3,6,2,2,776904,253309 mixed,500,0.5,6,2,2,776904,232164 mixed,500,0.7,6,2,2,776904,211032 mixed,500,0.9,6,2,2,776904,190835 -mixed,500,0.1,6,1,2,776904,227737 -mixed,500,0.05,6,1,2,776904,186520 -mixed,500,0.2,6,1,2,776904,201091 -mixed,500,0.3,6,1,2,776904,186260 -mixed,500,0.5,6,1,2,776904,140688 -mixed,500,0.7,6,1,2,776904,135408 -mixed,500,0.9,6,1,2,776904,168212 +mixed,500,0.1,6,1,2,776904,275055 +mixed,500,0.05,6,1,2,776904,225368 +mixed,500,0.2,6,1,2,776904,262177 +mixed,500,0.3,6,1,2,776904,249465 +mixed,500,0.5,6,1,2,776904,225787 +mixed,500,0.7,6,1,2,776904,203743 +mixed,500,0.9,6,1,2,776904,183199 mixed,750,0.1,0.9,2,1,776904,91143 mixed,750,0.05,0.9,2,1,776904,91121 mixed,750,0.2,0.9,2,1,776904,91068 @@ -4245,16 +4245,16 @@ mixed,750,0.1,3,2,2,776904,354572 mixed,750,0.05,3,2,2,776904,377759 mixed,750,0.2,3,2,2,776904,314967 mixed,750,0.3,3,2,2,776904,353231 -mixed,750,0.5,3,2,2,776904,318845 -mixed,750,0.7,3,2,2,776904,283122 -mixed,750,0.9,3,2,2,776904,298999 -mixed,750,0.1,3,1,2,776904,349554 -mixed,750,0.05,3,1,2,776904,374132 -mixed,750,0.2,3,1,2,776904,296546 -mixed,750,0.3,3,1,2,776904,251094 -mixed,750,0.5,3,1,2,776904,161953 -mixed,750,0.7,3,1,2,776904,256758 -mixed,750,0.9,3,1,2,776904,226036 +mixed,750,0.5,3,2,2,776904,347257 +mixed,750,0.7,3,2,2,776904,317679 +mixed,750,0.9,3,2,2,776904,290164 +mixed,750,0.1,3,1,2,776904,391865 +mixed,750,0.05,3,1,2,776904,404533 +mixed,750,0.2,3,1,2,776904,368550 +mixed,750,0.3,3,1,2,776904,345521 +mixed,750,0.5,3,1,2,776904,303278 +mixed,750,0.7,3,1,2,776904,265173 +mixed,750,0.9,3,1,2,776904,230829 mixed,750,0.1,6,2,1,776904,381261 mixed,750,0.05,6,2,1,776904,382510 mixed,750,0.2,6,2,1,776904,385193 @@ -4273,16 +4273,16 @@ mixed,750,0.1,6,2,2,776904,354572 mixed,750,0.05,6,2,2,776904,377759 mixed,750,0.2,6,2,2,776904,314967 mixed,750,0.3,6,2,2,776904,353231 -mixed,750,0.5,6,2,2,776904,318845 -mixed,750,0.7,6,2,2,776904,283122 -mixed,750,0.9,6,2,2,776904,298999 -mixed,750,0.1,6,1,2,776904,349554 -mixed,750,0.05,6,1,2,776904,374132 -mixed,750,0.2,6,1,2,776904,296546 -mixed,750,0.3,6,1,2,776904,251094 -mixed,750,0.5,6,1,2,776904,161953 -mixed,750,0.7,6,1,2,776904,256758 -mixed,750,0.9,6,1,2,776904,226036 +mixed,750,0.5,6,2,2,776904,347257 +mixed,750,0.7,6,2,2,776904,317679 +mixed,750,0.9,6,2,2,776904,290164 +mixed,750,0.1,6,1,2,776904,391865 +mixed,750,0.05,6,1,2,776904,404533 +mixed,750,0.2,6,1,2,776904,368550 +mixed,750,0.3,6,1,2,776904,345521 +mixed,750,0.5,6,1,2,776904,303278 +mixed,750,0.7,6,1,2,776904,265173 +mixed,750,0.9,6,1,2,776904,230829 mixed,1000,0.1,0.9,2,1,776904,91368 mixed,1000,0.05,0.9,2,1,776904,91412 mixed,1000,0.2,0.9,2,1,776904,501371 @@ -4325,20 +4325,20 @@ mixed,1000,0.3,3,1,1,776904,470114 mixed,1000,0.5,3,1,1,776904,421332 mixed,1000,0.7,3,1,1,776904,382875 mixed,1000,0.9,3,1,1,776904,353019 -mixed,1000,0.1,3,2,2,776904,515367 -mixed,1000,0.05,3,2,2,776904,548706 -mixed,1000,0.2,3,2,2,776904,497857 -mixed,1000,0.3,3,2,2,776904,480181 -mixed,1000,0.5,3,2,2,776904,440983 -mixed,1000,0.7,3,2,2,776904,427826 -mixed,1000,0.9,3,2,2,776904,433231 -mixed,1000,0.1,3,1,2,776904,511574 -mixed,1000,0.05,3,1,2,776904,548846 -mixed,1000,0.2,3,1,2,776904,438666 -mixed,1000,0.3,3,1,2,776904,403274 -mixed,1000,0.5,3,1,2,776904,356386 -mixed,1000,0.7,3,1,2,776904,329396 -mixed,1000,0.9,3,1,2,776904,330802 +mixed,1000,0.1,3,2,2,776904,526314 +mixed,1000,0.05,3,2,2,776904,550078 +mixed,1000,0.2,3,2,2,776904,516998 +mixed,1000,0.3,3,2,2,776904,489904 +mixed,1000,0.5,3,2,2,776904,462774 +mixed,1000,0.7,3,2,2,776904,433382 +mixed,1000,0.9,3,2,2,776904,403714 +mixed,1000,0.1,3,1,2,776904,531210 +mixed,1000,0.05,3,1,2,776904,548893 +mixed,1000,0.2,3,1,2,776904,493838 +mixed,1000,0.3,3,1,2,776904,455593 +mixed,1000,0.5,3,1,2,776904,388191 +mixed,1000,0.7,3,1,2,776904,329778 +mixed,1000,0.9,3,1,2,776904,279309 mixed,1000,0.1,6,2,1,776904,540946 mixed,1000,0.05,6,2,1,776904,564139 mixed,1000,0.2,6,2,1,776904,501371 @@ -4353,20 +4353,20 @@ mixed,1000,0.3,6,1,1,776904,470114 mixed,1000,0.5,6,1,1,776904,421332 mixed,1000,0.7,6,1,1,776904,382875 mixed,1000,0.9,6,1,1,776904,353019 -mixed,1000,0.1,6,2,2,776904,515300 -mixed,1000,0.05,6,2,2,776904,548706 -mixed,1000,0.2,6,2,2,776904,513170 -mixed,1000,0.3,6,2,2,776904,480302 -mixed,1000,0.5,6,2,2,776904,440983 -mixed,1000,0.7,6,2,2,776904,427826 -mixed,1000,0.9,6,2,2,776904,433231 -mixed,1000,0.1,6,1,2,776904,511516 -mixed,1000,0.05,6,1,2,776904,548484 -mixed,1000,0.2,6,1,2,776904,446284 -mixed,1000,0.3,6,1,2,776904,401652 -mixed,1000,0.5,6,1,2,776904,356386 -mixed,1000,0.7,6,1,2,776904,329396 -mixed,1000,0.9,6,1,2,776904,330802 +mixed,1000,0.1,6,2,2,776904,526314 +mixed,1000,0.05,6,2,2,776904,550078 +mixed,1000,0.2,6,2,2,776904,516998 +mixed,1000,0.3,6,2,2,776904,489904 +mixed,1000,0.5,6,2,2,776904,462774 +mixed,1000,0.7,6,2,2,776904,433382 +mixed,1000,0.9,6,2,2,776904,403714 +mixed,1000,0.1,6,1,2,776904,531210 +mixed,1000,0.05,6,1,2,776904,548893 +mixed,1000,0.2,6,1,2,776904,493838 +mixed,1000,0.3,6,1,2,776904,455593 +mixed,1000,0.5,6,1,2,776904,388191 +mixed,1000,0.7,6,1,2,776904,329778 +mixed,1000,0.9,6,1,2,776904,279309 mixed,1250,0.1,0.9,2,1,776904,593854 mixed,1250,0.05,0.9,2,1,776904,593820 mixed,1250,0.2,0.9,2,1,776904,593924 @@ -4730,7 +4730,7 @@ scarab,1000,0.2,0.9,1,2,1245184,424540 scarab,1000,0.3,0.9,1,2,1245184,420397 scarab,1000,0.5,0.9,1,2,1245184,402558 scarab,1000,0.7,0.9,1,2,1245184,373251 -scarab,1000,0.9,0.9,1,2,1245184,336314 +scarab,1000,0.9,0.9,1,2,1245184,336317 scarab,1000,0.1,3,2,1,1245184,436915 scarab,1000,0.05,3,2,1,1245184,432931 scarab,1000,0.2,3,2,1,1245184,435361 @@ -4749,16 +4749,16 @@ scarab,1000,0.1,3,2,2,1245184,444951 scarab,1000,0.05,3,2,2,1245184,439925 scarab,1000,0.2,3,2,2,1245184,444556 scarab,1000,0.3,3,2,2,1245184,439521 -scarab,1000,0.5,3,2,2,1245184,419046 -scarab,1000,0.7,3,2,2,1245184,386348 -scarab,1000,0.9,3,2,2,1245184,339003 -scarab,1000,0.1,3,1,2,1245184,431434 -scarab,1000,0.05,3,1,2,1245184,428160 -scarab,1000,0.2,3,1,2,1245184,429610 -scarab,1000,0.3,3,1,2,1245184,423908 -scarab,1000,0.5,3,1,2,1245184,403225 -scarab,1000,0.7,3,1,2,1245184,372249 -scarab,1000,0.9,3,1,2,1245184,332359 +scarab,1000,0.5,3,2,2,1245184,419039 +scarab,1000,0.7,3,2,2,1245184,386142 +scarab,1000,0.9,3,2,2,1245184,339680 +scarab,1000,0.1,3,1,2,1245184,431443 +scarab,1000,0.05,3,1,2,1245184,428205 +scarab,1000,0.2,3,1,2,1245184,429647 +scarab,1000,0.3,3,1,2,1245184,423972 +scarab,1000,0.5,3,1,2,1245184,403235 +scarab,1000,0.7,3,1,2,1245184,371958 +scarab,1000,0.9,3,1,2,1245184,333983 scarab,1000,0.1,6,2,1,1245184,428915 scarab,1000,0.05,6,2,1,1245184,426000 scarab,1000,0.2,6,2,1,1245184,427164 @@ -4773,20 +4773,20 @@ scarab,1000,0.3,6,1,1,1245184,409536 scarab,1000,0.5,6,1,1,1245184,384960 scarab,1000,0.7,6,1,1,1245184,354629 scarab,1000,0.9,6,1,1,1245184,319018 -scarab,1000,0.1,6,2,2,1245184,447168 -scarab,1000,0.05,6,2,2,1245184,442621 -scarab,1000,0.2,6,2,2,1245184,445541 -scarab,1000,0.3,6,2,2,1245184,439186 -scarab,1000,0.5,6,2,2,1245184,416151 -scarab,1000,0.7,6,2,2,1245184,381159 -scarab,1000,0.9,6,2,2,1245184,333256 -scarab,1000,0.1,6,1,2,1245184,434061 -scarab,1000,0.05,6,1,2,1245184,431266 -scarab,1000,0.2,6,1,2,1245184,431592 -scarab,1000,0.3,6,1,2,1245184,424065 -scarab,1000,0.5,6,1,2,1245184,401412 -scarab,1000,0.7,6,1,2,1245184,368947 -scarab,1000,0.9,6,1,2,1245184,328352 +scarab,1000,0.1,6,2,2,1245184,447174 +scarab,1000,0.05,6,2,2,1245184,442634 +scarab,1000,0.2,6,2,2,1245184,445582 +scarab,1000,0.3,6,2,2,1245184,439193 +scarab,1000,0.5,6,2,2,1245184,416282 +scarab,1000,0.7,6,2,2,1245184,381375 +scarab,1000,0.9,6,2,2,1245184,334453 +scarab,1000,0.1,6,1,2,1245184,434016 +scarab,1000,0.05,6,1,2,1245184,431263 +scarab,1000,0.2,6,1,2,1245184,431627 +scarab,1000,0.3,6,1,2,1245184,424098 +scarab,1000,0.5,6,1,2,1245184,401771 +scarab,1000,0.7,6,1,2,1245184,369490 +scarab,1000,0.9,6,1,2,1245184,331319 scarab,5000,0.1,0.9,2,1,1245184,594570 scarab,5000,0.05,0.9,2,1,1245184,593264 scarab,5000,0.2,0.9,2,1,1245184,590508 @@ -4814,7 +4814,7 @@ scarab,5000,0.2,0.9,1,2,1245184,576300 scarab,5000,0.3,0.9,1,2,1245184,574207 scarab,5000,0.5,0.9,1,2,1245184,563208 scarab,5000,0.7,0.9,1,2,1245184,542435 -scarab,5000,0.9,0.9,1,2,1245184,500597 +scarab,5000,0.9,0.9,1,2,1245184,500613 scarab,5000,0.1,3,2,1,1245184,590064 scarab,5000,0.05,3,2,1,1245184,590078 scarab,5000,0.2,3,2,1,1245184,583765 @@ -4832,17 +4832,17 @@ scarab,5000,0.9,3,1,1,1245184,485457 scarab,5000,0.1,3,2,2,1245184,596188 scarab,5000,0.05,3,2,2,1245184,595271 scarab,5000,0.2,3,2,2,1245184,592899 -scarab,5000,0.3,3,2,2,1245184,587939 -scarab,5000,0.5,3,2,2,1245184,572562 -scarab,5000,0.7,3,2,2,1245184,548927 -scarab,5000,0.9,3,2,2,1245184,500934 -scarab,5000,0.1,3,1,2,1245184,587590 -scarab,5000,0.05,3,1,2,1245184,586944 -scarab,5000,0.2,3,1,2,1245184,584328 -scarab,5000,0.3,3,1,2,1245184,579150 -scarab,5000,0.5,3,1,2,1245184,563296 -scarab,5000,0.7,3,1,2,1245184,539153 -scarab,5000,0.9,3,1,2,1245184,493926 +scarab,5000,0.3,3,2,2,1245184,587932 +scarab,5000,0.5,3,2,2,1245184,572556 +scarab,5000,0.7,3,2,2,1245184,548977 +scarab,5000,0.9,3,2,2,1245184,502548 +scarab,5000,0.1,3,1,2,1245184,587581 +scarab,5000,0.05,3,1,2,1245184,586901 +scarab,5000,0.2,3,1,2,1245184,584294 +scarab,5000,0.3,3,1,2,1245184,579134 +scarab,5000,0.5,3,1,2,1245184,563290 +scarab,5000,0.7,3,1,2,1245184,539593 +scarab,5000,0.9,3,1,2,1245184,496851 scarab,5000,0.1,6,2,1,1245184,581786 scarab,5000,0.05,6,2,1,1245184,582602 scarab,5000,0.2,6,2,1,1245184,575076 @@ -4857,20 +4857,20 @@ scarab,5000,0.3,6,1,1,1245184,562866 scarab,5000,0.5,6,1,1,1245184,543876 scarab,5000,0.7,6,1,1,1245184,519252 scarab,5000,0.9,6,1,1,1245184,485808 -scarab,5000,0.1,6,2,2,1245184,596855 -scarab,5000,0.05,6,2,2,1245184,596203 -scarab,5000,0.2,6,2,2,1245184,591523 -scarab,5000,0.3,6,2,2,1245184,585057 -scarab,5000,0.5,6,2,2,1245184,566386 -scarab,5000,0.7,6,2,2,1245184,540750 -scarab,5000,0.9,6,2,2,1245184,493670 -scarab,5000,0.1,6,1,2,1245184,587809 -scarab,5000,0.05,6,1,2,1245184,588142 -scarab,5000,0.2,6,1,2,1245184,583015 -scarab,5000,0.3,6,1,2,1245184,576439 -scarab,5000,0.5,6,1,2,1245184,558542 -scarab,5000,0.7,6,1,2,1245184,533243 -scarab,5000,0.9,6,1,2,1245184,489647 +scarab,5000,0.1,6,2,2,1245184,596836 +scarab,5000,0.05,6,2,2,1245184,596232 +scarab,5000,0.2,6,2,2,1245184,591636 +scarab,5000,0.3,6,2,2,1245184,585156 +scarab,5000,0.5,6,2,2,1245184,566474 +scarab,5000,0.7,6,2,2,1245184,540836 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scarab,25000,0.1,3,2,1,1245184,778902 scarab,25000,0.05,3,2,1,1245184,779257 scarab,25000,0.2,3,2,1,1245184,776200 @@ -4997,20 +4997,20 @@ scarab,25000,0.3,3,1,1,1245184,772710 scarab,25000,0.5,3,1,1,1245184,759820 scarab,25000,0.7,3,1,1,1245184,742267 scarab,25000,0.9,3,1,1,1245184,716919 -scarab,25000,0.1,3,2,2,1245184,770007 -scarab,25000,0.05,3,2,2,1245184,769500 -scarab,25000,0.2,3,2,2,1245184,771287 -scarab,25000,0.3,3,2,2,1245184,771753 -scarab,25000,0.5,3,2,2,1245184,766660 -scarab,25000,0.7,3,2,2,1245184,751980 -scarab,25000,0.9,3,2,2,1245184,721788 -scarab,25000,0.1,3,1,2,1245184,770013 -scarab,25000,0.05,3,1,2,1245184,768466 -scarab,25000,0.2,3,1,2,1245184,773412 -scarab,25000,0.3,3,1,2,1245184,773941 -scarab,25000,0.5,3,1,2,1245184,766037 -scarab,25000,0.7,3,1,2,1245184,748277 -scarab,25000,0.9,3,1,2,1245184,719461 +scarab,25000,0.1,3,2,2,1245184,770012 +scarab,25000,0.05,3,2,2,1245184,769472 +scarab,25000,0.2,3,2,2,1245184,771233 +scarab,25000,0.3,3,2,2,1245184,771670 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scarab,50000,0.3,0.9,2,2,1245184,853709 scarab,50000,0.5,0.9,2,2,1245184,862247 scarab,50000,0.7,0.9,2,2,1245184,859698 -scarab,50000,0.9,0.9,2,2,1245184,838744 +scarab,50000,0.9,0.9,2,2,1245184,838829 scarab,50000,0.1,0.9,1,2,1245184,850997 scarab,50000,0.05,0.9,1,2,1245184,841655 scarab,50000,0.2,0.9,1,2,1245184,863045 -scarab,50000,0.3,0.9,1,2,1245184,869461 -scarab,50000,0.5,0.9,1,2,1245184,869903 -scarab,50000,0.7,0.9,1,2,1245184,858108 -scarab,50000,0.9,0.9,1,2,1245184,832988 +scarab,50000,0.3,0.9,1,2,1245184,869452 +scarab,50000,0.5,0.9,1,2,1245184,869905 +scarab,50000,0.7,0.9,1,2,1245184,858361 +scarab,50000,0.9,0.9,1,2,1245184,833972 scarab,50000,0.1,3,2,1,1245184,868097 scarab,50000,0.05,3,2,1,1245184,865349 scarab,50000,0.2,3,2,1,1245184,869726 @@ -5081,20 +5081,20 @@ scarab,50000,0.3,3,1,1,1245184,873274 scarab,50000,0.5,3,1,1,1245184,866571 scarab,50000,0.7,3,1,1,1245184,850771 scarab,50000,0.9,3,1,1,1245184,827650 -scarab,50000,0.1,3,2,2,1245184,850579 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msr,5000,0.2,3,2,1,3993316,2414926 @@ -6258,19 +6258,19 @@ msr,5000,0.5,3,1,1,3993316,2390646 msr,5000,0.7,3,1,1,3993316,2343508 msr,5000,0.9,3,1,1,3993316,2276922 msr,5000,0.1,3,2,2,3993316,2407194 -msr,5000,0.05,3,2,2,3993316,2402674 -msr,5000,0.2,3,2,2,3993316,2408498 -msr,5000,0.3,3,2,2,3993316,2407159 -msr,5000,0.5,3,2,2,3993316,2403326 -msr,5000,0.7,3,2,2,3993316,2367208 -msr,5000,0.9,3,2,2,3993316,2291066 -msr,5000,0.1,3,1,2,3993316,2412561 -msr,5000,0.05,3,1,2,3993316,2405506 -msr,5000,0.2,3,1,2,3993316,2413845 -msr,5000,0.3,3,1,2,3993316,2412744 -msr,5000,0.5,3,1,2,3993316,2400469 -msr,5000,0.7,3,1,2,3993316,2364531 -msr,5000,0.9,3,1,2,3993316,2287598 +msr,5000,0.05,3,2,2,3993316,2402676 +msr,5000,0.2,3,2,2,3993316,2408489 +msr,5000,0.3,3,2,2,3993316,2407233 +msr,5000,0.5,3,2,2,3993316,2403197 +msr,5000,0.7,3,2,2,3993316,2367357 +msr,5000,0.9,3,2,2,3993316,2292499 +msr,5000,0.1,3,1,2,3993316,2412581 +msr,5000,0.05,3,1,2,3993316,2405503 +msr,5000,0.2,3,1,2,3993316,2413864 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+msr,5000,0.2,6,2,2,3993316,2409677 +msr,5000,0.3,6,2,2,3993316,2408093 +msr,5000,0.5,6,2,2,3993316,2401043 +msr,5000,0.7,6,2,2,3993316,2364022 +msr,5000,0.9,6,2,2,3993316,2286061 +msr,5000,0.1,6,1,2,3993316,2416200 +msr,5000,0.05,6,1,2,3993316,2409578 +msr,5000,0.2,6,1,2,3993316,2417773 +msr,5000,0.3,6,1,2,3993316,2415528 +msr,5000,0.5,6,1,2,3993316,2400963 +msr,5000,0.7,6,1,2,3993316,2361801 +msr,5000,0.9,6,1,2,3993316,2287878 msr,10000,0.1,0.9,2,1,3993316,2534250 msr,10000,0.05,0.9,2,1,3993316,2523786 msr,10000,0.2,0.9,2,1,3993316,2528070 @@ -6324,9 +6324,9 @@ msr,10000,0.1,0.9,1,2,3993316,2492094 msr,10000,0.05,0.9,1,2,3993316,2488463 msr,10000,0.2,0.9,1,2,3993316,2491940 msr,10000,0.3,0.9,1,2,3993316,2490609 -msr,10000,0.5,0.9,1,2,3993316,2479278 +msr,10000,0.5,0.9,1,2,3993316,2479283 msr,10000,0.7,0.9,1,2,3993316,2460612 -msr,10000,0.9,0.9,1,2,3993316,2400502 +msr,10000,0.9,0.9,1,2,3993316,2400515 msr,10000,0.1,3,2,1,3993316,2525768 msr,10000,0.05,3,2,1,3993316,2526459 msr,10000,0.2,3,2,1,3993316,2515410 @@ -6341,20 +6341,20 @@ msr,10000,0.3,3,1,1,3993316,2500190 msr,10000,0.5,3,1,1,3993316,2473786 msr,10000,0.7,3,1,1,3993316,2444013 msr,10000,0.9,3,1,1,3993316,2378352 -msr,10000,0.1,3,2,2,3993316,2541502 -msr,10000,0.05,3,2,2,3993316,2538410 -msr,10000,0.2,3,2,2,3993316,2529113 -msr,10000,0.3,3,2,2,3993316,2516926 -msr,10000,0.5,3,2,2,3993316,2487125 -msr,10000,0.7,3,2,2,3993316,2463352 -msr,10000,0.9,3,2,2,3993316,2396399 -msr,10000,0.1,3,1,2,3993316,2530042 -msr,10000,0.05,3,1,2,3993316,2529214 -msr,10000,0.2,3,1,2,3993316,2520684 -msr,10000,0.3,3,1,2,3993316,2511304 -msr,10000,0.5,3,1,2,3993316,2483094 -msr,10000,0.7,3,1,2,3993316,2460502 -msr,10000,0.9,3,1,2,3993316,2392541 +msr,10000,0.1,3,2,2,3993316,2541505 +msr,10000,0.05,3,2,2,3993316,2538390 +msr,10000,0.2,3,2,2,3993316,2529236 +msr,10000,0.3,3,2,2,3993316,2516989 +msr,10000,0.5,3,2,2,3993316,2487215 +msr,10000,0.7,3,2,2,3993316,2464051 +msr,10000,0.9,3,2,2,3993316,2398798 +msr,10000,0.1,3,1,2,3993316,2530085 +msr,10000,0.05,3,1,2,3993316,2529316 +msr,10000,0.2,3,1,2,3993316,2520828 +msr,10000,0.3,3,1,2,3993316,2511378 +msr,10000,0.5,3,1,2,3993316,2483163 +msr,10000,0.7,3,1,2,3993316,2460672 +msr,10000,0.9,3,1,2,3993316,2395432 msr,10000,0.1,6,2,1,3993316,2494569 msr,10000,0.05,6,2,1,3993316,2496908 msr,10000,0.2,6,2,1,3993316,2490887 @@ -6369,20 +6369,20 @@ msr,10000,0.3,6,1,1,3993316,2484290 msr,10000,0.5,6,1,1,3993316,2464742 msr,10000,0.7,6,1,1,3993316,2429362 msr,10000,0.9,6,1,1,3993316,2378344 -msr,10000,0.1,6,2,2,3993316,2541679 -msr,10000,0.05,6,2,2,3993316,2544843 -msr,10000,0.2,6,2,2,3993316,2535431 -msr,10000,0.3,6,2,2,3993316,2524248 -msr,10000,0.5,6,2,2,3993316,2490613 -msr,10000,0.7,6,2,2,3993316,2461426 -msr,10000,0.9,6,2,2,3993316,2387621 -msr,10000,0.1,6,1,2,3993316,2539806 -msr,10000,0.05,6,1,2,3993316,2539727 -msr,10000,0.2,6,1,2,3993316,2531589 -msr,10000,0.3,6,1,2,3993316,2517374 -msr,10000,0.5,6,1,2,3993316,2486423 -msr,10000,0.7,6,1,2,3993316,2459160 -msr,10000,0.9,6,1,2,3993316,2386607 +msr,10000,0.1,6,2,2,3993316,2541754 +msr,10000,0.05,6,2,2,3993316,2544857 +msr,10000,0.2,6,2,2,3993316,2536102 +msr,10000,0.3,6,2,2,3993316,2524665 +msr,10000,0.5,6,2,2,3993316,2491165 +msr,10000,0.7,6,2,2,3993316,2462414 +msr,10000,0.9,6,2,2,3993316,2391509 +msr,10000,0.1,6,1,2,3993316,2540052 +msr,10000,0.05,6,1,2,3993316,2539830 +msr,10000,0.2,6,1,2,3993316,2531696 +msr,10000,0.3,6,1,2,3993316,2517904 +msr,10000,0.5,6,1,2,3993316,2486188 +msr,10000,0.7,6,1,2,3993316,2459263 +msr,10000,0.9,6,1,2,3993316,2391455 msr,25000,0.1,0.9,2,1,3993316,2711961 msr,25000,0.05,0.9,2,1,3993316,2712826 msr,25000,0.2,0.9,2,1,3993316,2706768 @@ -6409,8 +6409,8 @@ msr,25000,0.05,0.9,1,2,3993316,2675429 msr,25000,0.2,0.9,1,2,3993316,2678867 msr,25000,0.3,0.9,1,2,3993316,2680917 msr,25000,0.5,0.9,1,2,3993316,2660578 -msr,25000,0.7,0.9,1,2,3993316,2622631 -msr,25000,0.9,0.9,1,2,3993316,2569270 +msr,25000,0.7,0.9,1,2,3993316,2622634 +msr,25000,0.9,0.9,1,2,3993316,2569314 msr,25000,0.1,3,2,1,3993316,2695552 msr,25000,0.05,3,2,1,3993316,2699813 msr,25000,0.2,3,2,1,3993316,2685557 @@ -6425,20 +6425,20 @@ msr,25000,0.3,3,1,1,3993316,2671099 msr,25000,0.5,3,1,1,3993316,2624076 msr,25000,0.7,3,1,1,3993316,2587681 msr,25000,0.9,3,1,1,3993316,2550534 -msr,25000,0.1,3,2,2,3993316,2725008 -msr,25000,0.05,3,2,2,3993316,2726898 -msr,25000,0.2,3,2,2,3993316,2713625 -msr,25000,0.3,3,2,2,3993316,2706959 -msr,25000,0.5,3,2,2,3993316,2680379 -msr,25000,0.7,3,2,2,3993316,2624920 -msr,25000,0.9,3,2,2,3993316,2567770 -msr,25000,0.1,3,1,2,3993316,2721121 -msr,25000,0.05,3,1,2,3993316,2724796 -msr,25000,0.2,3,1,2,3993316,2709073 -msr,25000,0.3,3,1,2,3993316,2697755 -msr,25000,0.5,3,1,2,3993316,2665284 -msr,25000,0.7,3,1,2,3993316,2616886 -msr,25000,0.9,3,1,2,3993316,2557631 +msr,25000,0.1,3,2,2,3993316,2724985 +msr,25000,0.05,3,2,2,3993316,2727008 +msr,25000,0.2,3,2,2,3993316,2713829 +msr,25000,0.3,3,2,2,3993316,2706920 +msr,25000,0.5,3,2,2,3993316,2680558 +msr,25000,0.7,3,2,2,3993316,2625637 +msr,25000,0.9,3,2,2,3993316,2568546 +msr,25000,0.1,3,1,2,3993316,2721133 +msr,25000,0.05,3,1,2,3993316,2724948 +msr,25000,0.2,3,1,2,3993316,2709037 +msr,25000,0.3,3,1,2,3993316,2697764 +msr,25000,0.5,3,1,2,3993316,2667050 +msr,25000,0.7,3,1,2,3993316,2618339 +msr,25000,0.9,3,1,2,3993316,2561854 msr,25000,0.1,6,2,1,3993316,2670607 msr,25000,0.05,6,2,1,3993316,2674937 msr,25000,0.2,6,2,1,3993316,2664014 @@ -6453,20 +6453,20 @@ msr,25000,0.3,6,1,1,3993316,2646599 msr,25000,0.5,6,1,1,3993316,2610380 msr,25000,0.7,6,1,1,3993316,2588419 msr,25000,0.9,6,1,1,3993316,2558464 -msr,25000,0.1,6,2,2,3993316,2711480 -msr,25000,0.05,6,2,2,3993316,2715769 -msr,25000,0.2,6,2,2,3993316,2700882 -msr,25000,0.3,6,2,2,3993316,2692980 -msr,25000,0.5,6,2,2,3993316,2665463 -msr,25000,0.7,6,2,2,3993316,2602482 -msr,25000,0.9,6,2,2,3993316,2558908 -msr,25000,0.1,6,1,2,3993316,2710573 -msr,25000,0.05,6,1,2,3993316,2713577 -msr,25000,0.2,6,1,2,3993316,2700759 -msr,25000,0.3,6,1,2,3993316,2691375 -msr,25000,0.5,6,1,2,3993316,2642390 -msr,25000,0.7,6,1,2,3993316,2599764 -msr,25000,0.9,6,1,2,3993316,2554125 +msr,25000,0.1,6,2,2,3993316,2710795 +msr,25000,0.05,6,2,2,3993316,2715725 +msr,25000,0.2,6,2,2,3993316,2701010 +msr,25000,0.3,6,2,2,3993316,2693062 +msr,25000,0.5,6,2,2,3993316,2665642 +msr,25000,0.7,6,2,2,3993316,2604107 +msr,25000,0.9,6,2,2,3993316,2560295 +msr,25000,0.1,6,1,2,3993316,2710500 +msr,25000,0.05,6,1,2,3993316,2712828 +msr,25000,0.2,6,1,2,3993316,2700587 +msr,25000,0.3,6,1,2,3993316,2690621 +msr,25000,0.5,6,1,2,3993316,2644790 +msr,25000,0.7,6,1,2,3993316,2603386 +msr,25000,0.9,6,1,2,3993316,2559974 msr,50000,0.1,0.9,2,1,3993316,2882082 msr,50000,0.05,0.9,2,1,3993316,2885294 msr,50000,0.2,0.9,2,1,3993316,2876152 @@ -6492,9 +6492,9 @@ msr,50000,0.1,0.9,1,2,3993316,2856467 msr,50000,0.05,0.9,1,2,3993316,2853087 msr,50000,0.2,0.9,1,2,3993316,2854805 msr,50000,0.3,0.9,1,2,3993316,2846973 -msr,50000,0.5,0.9,1,2,3993316,2829442 -msr,50000,0.7,0.9,1,2,3993316,2793398 -msr,50000,0.9,0.9,1,2,3993316,2730283 +msr,50000,0.5,0.9,1,2,3993316,2829441 +msr,50000,0.7,0.9,1,2,3993316,2793397 +msr,50000,0.9,0.9,1,2,3993316,2730311 msr,50000,0.1,3,2,1,3993316,2859541 msr,50000,0.05,3,2,1,3993316,2862834 msr,50000,0.2,3,2,1,3993316,2846778 @@ -6509,20 +6509,20 @@ msr,50000,0.3,3,1,1,3993316,2828677 msr,50000,0.5,3,1,1,3993316,2799756 msr,50000,0.7,3,1,1,3993316,2758360 msr,50000,0.9,3,1,1,3993316,2728069 -msr,50000,0.1,3,2,2,3993316,2878940 -msr,50000,0.05,3,2,2,3993316,2884839 -msr,50000,0.2,3,2,2,3993316,2876059 -msr,50000,0.3,3,2,2,3993316,2856192 -msr,50000,0.5,3,2,2,3993316,2826524 -msr,50000,0.7,3,2,2,3993316,2787373 -msr,50000,0.9,3,2,2,3993316,2724302 -msr,50000,0.1,3,1,2,3993316,2877829 -msr,50000,0.05,3,1,2,3993316,2884099 -msr,50000,0.2,3,1,2,3993316,2869998 -msr,50000,0.3,3,1,2,3993316,2853961 -msr,50000,0.5,3,1,2,3993316,2823758 -msr,50000,0.7,3,1,2,3993316,2783318 -msr,50000,0.9,3,1,2,3993316,2724967 +msr,50000,0.1,3,2,2,3993316,2879160 +msr,50000,0.05,3,2,2,3993316,2884766 +msr,50000,0.2,3,2,2,3993316,2876143 +msr,50000,0.3,3,2,2,3993316,2856167 +msr,50000,0.5,3,2,2,3993316,2826557 +msr,50000,0.7,3,2,2,3993316,2787281 +msr,50000,0.9,3,2,2,3993316,2727243 +msr,50000,0.1,3,1,2,3993316,2877876 +msr,50000,0.05,3,1,2,3993316,2884087 +msr,50000,0.2,3,1,2,3993316,2869716 +msr,50000,0.3,3,1,2,3993316,2855365 +msr,50000,0.5,3,1,2,3993316,2824728 +msr,50000,0.7,3,1,2,3993316,2786935 +msr,50000,0.9,3,1,2,3993316,2730856 msr,50000,0.1,6,2,1,3993316,2847069 msr,50000,0.05,6,2,1,3993316,2849986 msr,50000,0.2,6,2,1,3993316,2834462 @@ -6537,20 +6537,20 @@ msr,50000,0.3,6,1,1,3993316,2817388 msr,50000,0.5,6,1,1,3993316,2791776 msr,50000,0.7,6,1,1,3993316,2756855 msr,50000,0.9,6,1,1,3993316,2733242 -msr,50000,0.1,6,2,2,3993316,2864829 -msr,50000,0.05,6,2,2,3993316,2869737 -msr,50000,0.2,6,2,2,3993316,2859563 -msr,50000,0.3,6,2,2,3993316,2843181 -msr,50000,0.5,6,2,2,3993316,2808407 -msr,50000,0.7,6,2,2,3993316,2770508 -msr,50000,0.9,6,2,2,3993316,2717916 -msr,50000,0.1,6,1,2,3993316,2864378 -msr,50000,0.05,6,1,2,3993316,2869285 -msr,50000,0.2,6,1,2,3993316,2860379 -msr,50000,0.3,6,1,2,3993316,2845262 -msr,50000,0.5,6,1,2,3993316,2813935 -msr,50000,0.7,6,1,2,3993316,2773164 -msr,50000,0.9,6,1,2,3993316,2723909 +msr,50000,0.1,6,2,2,3993316,2864801 +msr,50000,0.05,6,2,2,3993316,2870537 +msr,50000,0.2,6,2,2,3993316,2859972 +msr,50000,0.3,6,2,2,3993316,2842964 +msr,50000,0.5,6,2,2,3993316,2808625 +msr,50000,0.7,6,2,2,3993316,2771273 +msr,50000,0.9,6,2,2,3993316,2722712 +msr,50000,0.1,6,1,2,3993316,2864747 +msr,50000,0.05,6,1,2,3993316,2869270 +msr,50000,0.2,6,1,2,3993316,2860562 +msr,50000,0.3,6,1,2,3993316,2846578 +msr,50000,0.5,6,1,2,3993316,2815020 +msr,50000,0.7,6,1,2,3993316,2779119 +msr,50000,0.9,6,1,2,3993316,2728849 msr,100000,0.1,0.9,2,1,3993316,3114304 msr,100000,0.05,0.9,2,1,3993316,3116562 msr,100000,0.2,0.9,2,1,3993316,3106550 @@ -6569,16 +6569,16 @@ msr,100000,0.1,0.9,2,2,3993316,3110810 msr,100000,0.05,0.9,2,2,3993316,3104386 msr,100000,0.2,0.9,2,2,3993316,3101186 msr,100000,0.3,0.9,2,2,3993316,3086082 -msr,100000,0.5,0.9,2,2,3993316,3068872 -msr,100000,0.7,0.9,2,2,3993316,3047433 -msr,100000,0.9,0.9,2,2,3993316,3006798 +msr,100000,0.5,0.9,2,2,3993316,3068854 +msr,100000,0.7,0.9,2,2,3993316,3047438 +msr,100000,0.9,0.9,2,2,3993316,3007112 msr,100000,0.1,0.9,1,2,3993316,3104049 msr,100000,0.05,0.9,1,2,3993316,3106027 -msr,100000,0.2,0.9,1,2,3993316,3093397 -msr,100000,0.3,0.9,1,2,3993316,3087967 -msr,100000,0.5,0.9,1,2,3993316,3061461 -msr,100000,0.7,0.9,1,2,3993316,3036867 -msr,100000,0.9,0.9,1,2,3993316,2994171 +msr,100000,0.2,0.9,1,2,3993316,3093399 +msr,100000,0.3,0.9,1,2,3993316,3087958 +msr,100000,0.5,0.9,1,2,3993316,3061292 +msr,100000,0.7,0.9,1,2,3993316,3037053 +msr,100000,0.9,0.9,1,2,3993316,2994749 msr,100000,0.1,3,2,1,3993316,3102456 msr,100000,0.05,3,2,1,3993316,3106470 msr,100000,0.2,3,2,1,3993316,3090768 @@ -6593,20 +6593,20 @@ msr,100000,0.3,3,1,1,3993316,3071557 msr,100000,0.5,3,1,1,3993316,3040211 msr,100000,0.7,3,1,1,3993316,3026408 msr,100000,0.9,3,1,1,3993316,3000990 -msr,100000,0.1,3,2,2,3993316,3111908 -msr,100000,0.05,3,2,2,3993316,3108382 -msr,100000,0.2,3,2,2,3993316,3097867 -msr,100000,0.3,3,2,2,3993316,3084827 -msr,100000,0.5,3,2,2,3993316,3058450 -msr,100000,0.7,3,2,2,3993316,3038577 -msr,100000,0.9,3,2,2,3993316,3001894 -msr,100000,0.1,3,1,2,3993316,3104548 -msr,100000,0.05,3,1,2,3993316,3109450 -msr,100000,0.2,3,1,2,3993316,3095137 -msr,100000,0.3,3,1,2,3993316,3084770 -msr,100000,0.5,3,1,2,3993316,3052918 -msr,100000,0.7,3,1,2,3993316,3033793 -msr,100000,0.9,3,1,2,3993316,2995069 +msr,100000,0.1,3,2,2,3993316,3111939 +msr,100000,0.05,3,2,2,3993316,3108345 +msr,100000,0.2,3,2,2,3993316,3098210 +msr,100000,0.3,3,2,2,3993316,3085130 +msr,100000,0.5,3,2,2,3993316,3058963 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-msr,100000,0.2,6,1,2,3993316,3094539 -msr,100000,0.3,6,1,2,3993316,3083365 -msr,100000,0.5,6,1,2,3993316,3052433 -msr,100000,0.7,6,1,2,3993316,3033968 -msr,100000,0.9,6,1,2,3993316,2996039 +msr,100000,0.1,6,2,2,3993316,3110756 +msr,100000,0.05,6,2,2,3993316,3108531 +msr,100000,0.2,6,2,2,3993316,3096853 +msr,100000,0.3,6,2,2,3993316,3082291 +msr,100000,0.5,6,2,2,3993316,3059142 +msr,100000,0.7,6,2,2,3993316,3048528 +msr,100000,0.9,6,2,2,3993316,3006036 +msr,100000,0.1,6,1,2,3993316,3103628 +msr,100000,0.05,6,1,2,3993316,3109363 +msr,100000,0.2,6,1,2,3993316,3094814 +msr,100000,0.3,6,1,2,3993316,3084142 +msr,100000,0.5,6,1,2,3993316,3053869 +msr,100000,0.7,6,1,2,3993316,3035559 +msr,100000,0.9,6,1,2,3993316,3001534 msr,200000,0.1,0.9,2,1,3993316,3364141 msr,200000,0.05,0.9,2,1,3993316,3359608 msr,200000,0.2,0.9,2,1,3993316,3359129 @@ -6653,16 +6653,16 @@ msr,200000,0.1,0.9,2,2,3993316,3356172 msr,200000,0.05,0.9,2,2,3993316,3353918 msr,200000,0.2,0.9,2,2,3993316,3362885 msr,200000,0.3,0.9,2,2,3993316,3359078 -msr,200000,0.5,0.9,2,2,3993316,3339875 -msr,200000,0.7,0.9,2,2,3993316,3316827 -msr,200000,0.9,0.9,2,2,3993316,3295203 -msr,200000,0.1,0.9,1,2,3993316,3355281 -msr,200000,0.05,0.9,1,2,3993316,3350544 -msr,200000,0.2,0.9,1,2,3993316,3360736 -msr,200000,0.3,0.9,1,2,3993316,3350482 -msr,200000,0.5,0.9,1,2,3993316,3332801 -msr,200000,0.7,0.9,1,2,3993316,3316396 -msr,200000,0.9,0.9,1,2,3993316,3286703 +msr,200000,0.5,0.9,2,2,3993316,3339880 +msr,200000,0.7,0.9,2,2,3993316,3316825 +msr,200000,0.9,0.9,2,2,3993316,3295216 +msr,200000,0.1,0.9,1,2,3993316,3355264 +msr,200000,0.05,0.9,1,2,3993316,3350540 +msr,200000,0.2,0.9,1,2,3993316,3360737 +msr,200000,0.3,0.9,1,2,3993316,3350512 +msr,200000,0.5,0.9,1,2,3993316,3332789 +msr,200000,0.7,0.9,1,2,3993316,3316453 +msr,200000,0.9,0.9,1,2,3993316,3287433 msr,200000,0.1,3,2,1,3993316,3364936 msr,200000,0.05,3,2,1,3993316,3359843 msr,200000,0.2,3,2,1,3993316,3358902 @@ -6678,19 +6678,19 @@ msr,200000,0.5,3,1,1,3993316,3325328 msr,200000,0.7,3,1,1,3993316,3310074 msr,200000,0.9,3,1,1,3993316,3282875 msr,200000,0.1,3,2,2,3993316,3357234 -msr,200000,0.05,3,2,2,3993316,3355882 -msr,200000,0.2,3,2,2,3993316,3363738 -msr,200000,0.3,3,2,2,3993316,3359685 -msr,200000,0.5,3,2,2,3993316,3338969 -msr,200000,0.7,3,2,2,3993316,3315257 -msr,200000,0.9,3,2,2,3993316,3289345 -msr,200000,0.1,3,1,2,3993316,3356371 -msr,200000,0.05,3,1,2,3993316,3351595 -msr,200000,0.2,3,1,2,3993316,3361360 -msr,200000,0.3,3,1,2,3993316,3350486 -msr,200000,0.5,3,1,2,3993316,3332706 -msr,200000,0.7,3,1,2,3993316,3316377 -msr,200000,0.9,3,1,2,3993316,3286665 +msr,200000,0.05,3,2,2,3993316,3355881 +msr,200000,0.2,3,2,2,3993316,3363740 +msr,200000,0.3,3,2,2,3993316,3359695 +msr,200000,0.5,3,2,2,3993316,3338953 +msr,200000,0.7,3,2,2,3993316,3315344 +msr,200000,0.9,3,2,2,3993316,3290389 +msr,200000,0.1,3,1,2,3993316,3356411 +msr,200000,0.05,3,1,2,3993316,3351582 +msr,200000,0.2,3,1,2,3993316,3361230 +msr,200000,0.3,3,1,2,3993316,3350493 +msr,200000,0.5,3,1,2,3993316,3332793 +msr,200000,0.7,3,1,2,3993316,3316444 +msr,200000,0.9,3,1,2,3993316,3287443 msr,200000,0.1,6,2,1,3993316,3364936 msr,200000,0.05,6,2,1,3993316,3359843 msr,200000,0.2,6,2,1,3993316,3358902 @@ -6706,19 +6706,19 @@ msr,200000,0.5,6,1,1,3993316,3325328 msr,200000,0.7,6,1,1,3993316,3310074 msr,200000,0.9,6,1,1,3993316,3282875 msr,200000,0.1,6,2,2,3993316,3357234 -msr,200000,0.05,6,2,2,3993316,3355882 -msr,200000,0.2,6,2,2,3993316,3363738 -msr,200000,0.3,6,2,2,3993316,3359685 -msr,200000,0.5,6,2,2,3993316,3338969 -msr,200000,0.7,6,2,2,3993316,3315257 -msr,200000,0.9,6,2,2,3993316,3289345 -msr,200000,0.1,6,1,2,3993316,3356371 -msr,200000,0.05,6,1,2,3993316,3351595 -msr,200000,0.2,6,1,2,3993316,3361360 -msr,200000,0.3,6,1,2,3993316,3350486 -msr,200000,0.5,6,1,2,3993316,3332706 -msr,200000,0.7,6,1,2,3993316,3316377 -msr,200000,0.9,6,1,2,3993316,3286665 +msr,200000,0.05,6,2,2,3993316,3355881 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+cloudphysics,1000,0.7,0.9,2,2,3375344,432514 +cloudphysics,1000,0.9,0.9,2,2,3375344,421503 cloudphysics,1000,0.1,0.9,1,2,3375344,446701 cloudphysics,1000,0.05,0.9,1,2,3375344,444585 cloudphysics,1000,0.2,0.9,1,2,3375344,447603 cloudphysics,1000,0.3,0.9,1,2,3375344,447125 -cloudphysics,1000,0.5,0.9,1,2,3375344,441676 -cloudphysics,1000,0.7,0.9,1,2,3375344,432754 -cloudphysics,1000,0.9,0.9,1,2,3375344,419565 +cloudphysics,1000,0.5,0.9,1,2,3375344,442055 +cloudphysics,1000,0.7,0.9,1,2,3375344,433323 +cloudphysics,1000,0.9,0.9,1,2,3375344,419575 cloudphysics,1000,0.1,3,2,1,3375344,457432 cloudphysics,1000,0.05,3,2,1,3375344,457776 cloudphysics,1000,0.2,3,2,1,3375344,454809 @@ -6764,17 +6764,17 @@ cloudphysics,1000,0.9,3,1,1,3375344,419872 cloudphysics,1000,0.1,3,2,2,3375344,460112 cloudphysics,1000,0.05,3,2,2,3375344,460152 cloudphysics,1000,0.2,3,2,2,3375344,457842 -cloudphysics,1000,0.3,3,2,2,3375344,455650 -cloudphysics,1000,0.5,3,2,2,3375344,446227 -cloudphysics,1000,0.7,3,2,2,3375344,433830 -cloudphysics,1000,0.9,3,2,2,3375344,419904 +cloudphysics,1000,0.3,3,2,2,3375344,455674 +cloudphysics,1000,0.5,3,2,2,3375344,446347 +cloudphysics,1000,0.7,3,2,2,3375344,433953 +cloudphysics,1000,0.9,3,2,2,3375344,420702 cloudphysics,1000,0.1,3,1,2,3375344,456318 cloudphysics,1000,0.05,3,1,2,3375344,456244 -cloudphysics,1000,0.2,3,1,2,3375344,455000 -cloudphysics,1000,0.3,3,1,2,3375344,451674 -cloudphysics,1000,0.5,3,1,2,3375344,444206 -cloudphysics,1000,0.7,3,1,2,3375344,433733 -cloudphysics,1000,0.9,3,1,2,3375344,419076 +cloudphysics,1000,0.2,3,1,2,3375344,454861 +cloudphysics,1000,0.3,3,1,2,3375344,451733 +cloudphysics,1000,0.5,3,1,2,3375344,444610 +cloudphysics,1000,0.7,3,1,2,3375344,434497 +cloudphysics,1000,0.9,3,1,2,3375344,419793 cloudphysics,1000,0.1,6,2,1,3375344,454107 cloudphysics,1000,0.05,6,2,1,3375344,454538 cloudphysics,1000,0.2,6,2,1,3375344,451909 @@ -6789,20 +6789,20 @@ cloudphysics,1000,0.3,6,1,1,3375344,448869 cloudphysics,1000,0.5,6,1,1,3375344,439449 cloudphysics,1000,0.7,6,1,1,3375344,430187 cloudphysics,1000,0.9,6,1,1,3375344,420170 -cloudphysics,1000,0.1,6,2,2,3375344,458235 +cloudphysics,1000,0.1,6,2,2,3375344,458242 cloudphysics,1000,0.05,6,2,2,3375344,458174 -cloudphysics,1000,0.2,6,2,2,3375344,455805 -cloudphysics,1000,0.3,6,2,2,3375344,452555 -cloudphysics,1000,0.5,6,2,2,3375344,443073 -cloudphysics,1000,0.7,6,2,2,3375344,430228 -cloudphysics,1000,0.9,6,2,2,3375344,419510 -cloudphysics,1000,0.1,6,1,2,3375344,454229 -cloudphysics,1000,0.05,6,1,2,3375344,454256 -cloudphysics,1000,0.2,6,1,2,3375344,452366 -cloudphysics,1000,0.3,6,1,2,3375344,449366 -cloudphysics,1000,0.5,6,1,2,3375344,441768 -cloudphysics,1000,0.7,6,1,2,3375344,431237 -cloudphysics,1000,0.9,6,1,2,3375344,419103 +cloudphysics,1000,0.2,6,2,2,3375344,455811 +cloudphysics,1000,0.3,6,2,2,3375344,452499 +cloudphysics,1000,0.5,6,2,2,3375344,443148 +cloudphysics,1000,0.7,6,2,2,3375344,430105 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cloudphysics,2500,0.5,0.9,1,2,3375344,480727 -cloudphysics,2500,0.7,0.9,1,2,3375344,474132 -cloudphysics,2500,0.9,0.9,1,2,3375344,460028 +cloudphysics,2500,0.7,0.9,1,2,3375344,474340 +cloudphysics,2500,0.9,0.9,1,2,3375344,460310 cloudphysics,2500,0.1,3,2,1,3375344,487697 cloudphysics,2500,0.05,3,2,1,3375344,487751 cloudphysics,2500,0.2,3,2,1,3375344,485770 @@ -6849,16 +6849,16 @@ cloudphysics,2500,0.1,3,2,2,3375344,483426 cloudphysics,2500,0.05,3,2,2,3375344,482933 cloudphysics,2500,0.2,3,2,2,3375344,483931 cloudphysics,2500,0.3,3,2,2,3375344,482349 -cloudphysics,2500,0.5,3,2,2,3375344,479917 -cloudphysics,2500,0.7,3,2,2,3375344,473719 -cloudphysics,2500,0.9,3,2,2,3375344,460797 -cloudphysics,2500,0.1,3,1,2,3375344,482060 +cloudphysics,2500,0.5,3,2,2,3375344,479903 +cloudphysics,2500,0.7,3,2,2,3375344,473709 +cloudphysics,2500,0.9,3,2,2,3375344,461650 +cloudphysics,2500,0.1,3,1,2,3375344,482056 cloudphysics,2500,0.05,3,1,2,3375344,481574 -cloudphysics,2500,0.2,3,1,2,3375344,484162 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+cloudphysics,25000,0.5,6,2,2,3375344,834713 +cloudphysics,25000,0.7,6,2,2,3375344,778372 +cloudphysics,25000,0.9,6,2,2,3375344,720640 +cloudphysics,25000,0.1,6,1,2,3375344,914694 +cloudphysics,25000,0.05,6,1,2,3375344,921541 +cloudphysics,25000,0.2,6,1,2,3375344,889766 +cloudphysics,25000,0.3,6,1,2,3375344,840334 +cloudphysics,25000,0.5,6,1,2,3375344,816184 +cloudphysics,25000,0.7,6,1,2,3375344,770821 +cloudphysics,25000,0.9,6,1,2,3375344,718439 cloudphysics,50000,0.1,0.9,2,1,3375344,1143097 cloudphysics,50000,0.05,0.9,2,1,3375344,1153182 cloudphysics,50000,0.2,0.9,2,1,3375344,1117552 @@ -7165,8 +7165,8 @@ cloudphysics,50000,0.05,0.9,1,2,3375344,862449 cloudphysics,50000,0.2,0.9,1,2,3375344,1125576 cloudphysics,50000,0.3,0.9,1,2,3375344,1121361 cloudphysics,50000,0.5,0.9,1,2,3375344,1035962 -cloudphysics,50000,0.7,0.9,1,2,3375344,934652 -cloudphysics,50000,0.9,0.9,1,2,3375344,819842 +cloudphysics,50000,0.7,0.9,1,2,3375344,934658 +cloudphysics,50000,0.9,0.9,1,2,3375344,819847 cloudphysics,50000,0.1,3,2,1,3375344,1094787 cloudphysics,50000,0.05,3,2,1,3375344,1105528 cloudphysics,50000,0.2,3,2,1,3375344,1065143 @@ -7185,16 +7185,16 @@ cloudphysics,50000,0.1,3,2,2,3375344,1119669 cloudphysics,50000,0.05,3,2,2,3375344,1120742 cloudphysics,50000,0.2,3,2,2,3375344,1120588 cloudphysics,50000,0.3,3,2,2,3375344,1092420 -cloudphysics,50000,0.5,3,2,2,3375344,1035030 -cloudphysics,50000,0.7,3,2,2,3375344,941843 -cloudphysics,50000,0.9,3,2,2,3375344,815552 -cloudphysics,50000,0.1,3,1,2,3375344,1139139 -cloudphysics,50000,0.05,3,1,2,3375344,1131202 -cloudphysics,50000,0.2,3,1,2,3375344,1159915 -cloudphysics,50000,0.3,3,1,2,3375344,1136402 -cloudphysics,50000,0.5,3,1,2,3375344,1041396 -cloudphysics,50000,0.7,3,1,2,3375344,918184 -cloudphysics,50000,0.9,3,1,2,3375344,809163 +cloudphysics,50000,0.5,3,2,2,3375344,1035025 +cloudphysics,50000,0.7,3,2,2,3375344,942232 +cloudphysics,50000,0.9,3,2,2,3375344,815517 +cloudphysics,50000,0.1,3,1,2,3375344,1139140 +cloudphysics,50000,0.05,3,1,2,3375344,1131207 +cloudphysics,50000,0.2,3,1,2,3375344,1159960 +cloudphysics,50000,0.3,3,1,2,3375344,1136427 +cloudphysics,50000,0.5,3,1,2,3375344,1041316 +cloudphysics,50000,0.7,3,1,2,3375344,923632 +cloudphysics,50000,0.9,3,1,2,3375344,814827 cloudphysics,50000,0.1,6,2,1,3375344,947120 cloudphysics,50000,0.05,6,2,1,3375344,952473 cloudphysics,50000,0.2,6,2,1,3375344,937907 @@ -7209,20 +7209,20 @@ cloudphysics,50000,0.3,6,1,1,3375344,961720 cloudphysics,50000,0.5,6,1,1,3375344,882989 cloudphysics,50000,0.7,6,1,1,3375344,856854 cloudphysics,50000,0.9,6,1,1,3375344,837385 -cloudphysics,50000,0.1,6,2,2,3375344,1137347 -cloudphysics,50000,0.05,6,2,2,3375344,1142610 -cloudphysics,50000,0.2,6,2,2,3375344,1106251 -cloudphysics,50000,0.3,6,2,2,3375344,1069671 -cloudphysics,50000,0.5,6,2,2,3375344,987444 -cloudphysics,50000,0.7,6,2,2,3375344,859060 -cloudphysics,50000,0.9,6,2,2,3375344,766004 -cloudphysics,50000,0.1,6,1,2,3375344,1124735 -cloudphysics,50000,0.05,6,1,2,3375344,1134800 -cloudphysics,50000,0.2,6,1,2,3375344,1114057 -cloudphysics,50000,0.3,6,1,2,3375344,1093558 -cloudphysics,50000,0.5,6,1,2,3375344,993249 -cloudphysics,50000,0.7,6,1,2,3375344,865634 -cloudphysics,50000,0.9,6,1,2,3375344,782052 +cloudphysics,50000,0.1,6,2,2,3375344,1138106 +cloudphysics,50000,0.05,6,2,2,3375344,1142358 +cloudphysics,50000,0.2,6,2,2,3375344,1106876 +cloudphysics,50000,0.3,6,2,2,3375344,1069860 +cloudphysics,50000,0.5,6,2,2,3375344,986693 +cloudphysics,50000,0.7,6,2,2,3375344,857581 +cloudphysics,50000,0.9,6,2,2,3375344,778636 +cloudphysics,50000,0.1,6,1,2,3375344,1125837 +cloudphysics,50000,0.05,6,1,2,3375344,1135133 +cloudphysics,50000,0.2,6,1,2,3375344,1115334 +cloudphysics,50000,0.3,6,1,2,3375344,1094414 +cloudphysics,50000,0.5,6,1,2,3375344,998092 +cloudphysics,50000,0.7,6,1,2,3375344,875905 +cloudphysics,50000,0.9,6,1,2,3375344,795126 cloudphysics,100000,0.1,0.9,2,1,3375344,1460682 cloudphysics,100000,0.05,0.9,2,1,3375344,1456382 cloudphysics,100000,0.2,0.9,2,1,3375344,1434292 @@ -7242,7 +7242,7 @@ cloudphysics,100000,0.05,0.9,2,2,3375344,1271931 cloudphysics,100000,0.2,0.9,2,2,3375344,1251939 cloudphysics,100000,0.3,0.9,2,2,3375344,1227020 cloudphysics,100000,0.5,0.9,2,2,3375344,1139973 -cloudphysics,100000,0.7,0.9,2,2,3375344,1128422 +cloudphysics,100000,0.7,0.9,2,2,3375344,1128419 cloudphysics,100000,0.9,0.9,2,2,3375344,1010694 cloudphysics,100000,0.1,0.9,1,2,3375344,1302351 cloudphysics,100000,0.05,0.9,1,2,3375344,1284234 @@ -7250,7 +7250,7 @@ cloudphysics,100000,0.2,0.9,1,2,3375344,1299431 cloudphysics,100000,0.3,0.9,1,2,3375344,1284253 cloudphysics,100000,0.5,0.9,1,2,3375344,1224103 cloudphysics,100000,0.7,0.9,1,2,3375344,1145582 -cloudphysics,100000,0.9,0.9,1,2,3375344,984331 +cloudphysics,100000,0.9,0.9,1,2,3375344,984419 cloudphysics,100000,0.1,3,2,1,3375344,1286455 cloudphysics,100000,0.05,3,2,1,3375344,1294294 cloudphysics,100000,0.2,3,2,1,3375344,1274731 @@ -7265,20 +7265,20 @@ cloudphysics,100000,0.3,3,1,1,3375344,1184735 cloudphysics,100000,0.5,3,1,1,3375344,1119957 cloudphysics,100000,0.7,3,1,1,3375344,1083409 cloudphysics,100000,0.9,3,1,1,3375344,1061122 -cloudphysics,100000,0.1,3,2,2,3375344,1321647 -cloudphysics,100000,0.05,3,2,2,3375344,1413956 -cloudphysics,100000,0.2,3,2,2,3375344,1312096 -cloudphysics,100000,0.3,3,2,2,3375344,1248086 -cloudphysics,100000,0.5,3,2,2,3375344,1172863 -cloudphysics,100000,0.7,3,2,2,3375344,1082546 -cloudphysics,100000,0.9,3,2,2,3375344,991559 -cloudphysics,100000,0.1,3,1,2,3375344,1360415 -cloudphysics,100000,0.05,3,1,2,3375344,1389354 -cloudphysics,100000,0.2,3,1,2,3375344,1328982 -cloudphysics,100000,0.3,3,1,2,3375344,1289542 -cloudphysics,100000,0.5,3,1,2,3375344,1203261 -cloudphysics,100000,0.7,3,1,2,3375344,1123944 -cloudphysics,100000,0.9,3,1,2,3375344,1009564 +cloudphysics,100000,0.1,3,2,2,3375344,1321579 +cloudphysics,100000,0.05,3,2,2,3375344,1413957 +cloudphysics,100000,0.2,3,2,2,3375344,1312100 +cloudphysics,100000,0.3,3,2,2,3375344,1248120 +cloudphysics,100000,0.5,3,2,2,3375344,1172685 +cloudphysics,100000,0.7,3,2,2,3375344,1082954 +cloudphysics,100000,0.9,3,2,2,3375344,1004660 +cloudphysics,100000,0.1,3,1,2,3375344,1360453 +cloudphysics,100000,0.05,3,1,2,3375344,1389660 +cloudphysics,100000,0.2,3,1,2,3375344,1327115 +cloudphysics,100000,0.3,3,1,2,3375344,1289924 +cloudphysics,100000,0.5,3,1,2,3375344,1202899 +cloudphysics,100000,0.7,3,1,2,3375344,1128395 +cloudphysics,100000,0.9,3,1,2,3375344,1031586 cloudphysics,100000,0.1,6,2,1,3375344,1205014 cloudphysics,100000,0.05,6,2,1,3375344,1202444 cloudphysics,100000,0.2,6,2,1,3375344,1223125 @@ -7293,20 +7293,20 @@ cloudphysics,100000,0.3,6,1,1,3375344,1168178 cloudphysics,100000,0.5,6,1,1,3375344,1100578 cloudphysics,100000,0.7,6,1,1,3375344,1092813 cloudphysics,100000,0.9,6,1,1,3375344,1085697 -cloudphysics,100000,0.1,6,2,2,3375344,1305974 -cloudphysics,100000,0.05,6,2,2,3375344,1321000 -cloudphysics,100000,0.2,6,2,2,3375344,1265499 -cloudphysics,100000,0.3,6,2,2,3375344,1210138 -cloudphysics,100000,0.5,6,2,2,3375344,1131190 -cloudphysics,100000,0.7,6,2,2,3375344,1072344 -cloudphysics,100000,0.9,6,2,2,3375344,988985 -cloudphysics,100000,0.1,6,1,2,3375344,1320627 -cloudphysics,100000,0.05,6,1,2,3375344,1325609 -cloudphysics,100000,0.2,6,1,2,3375344,1289062 -cloudphysics,100000,0.3,6,1,2,3375344,1265113 -cloudphysics,100000,0.5,6,1,2,3375344,1186261 -cloudphysics,100000,0.7,6,1,2,3375344,1114539 -cloudphysics,100000,0.9,6,1,2,3375344,1017761 +cloudphysics,100000,0.1,6,2,2,3375344,1306619 +cloudphysics,100000,0.05,6,2,2,3375344,1321101 +cloudphysics,100000,0.2,6,2,2,3375344,1266192 +cloudphysics,100000,0.3,6,2,2,3375344,1208443 +cloudphysics,100000,0.5,6,2,2,3375344,1129602 +cloudphysics,100000,0.7,6,2,2,3375344,1078970 +cloudphysics,100000,0.9,6,2,2,3375344,999368 +cloudphysics,100000,0.1,6,1,2,3375344,1323453 +cloudphysics,100000,0.05,6,1,2,3375344,1325574 +cloudphysics,100000,0.2,6,1,2,3375344,1291421 +cloudphysics,100000,0.3,6,1,2,3375344,1264950 +cloudphysics,100000,0.5,6,1,2,3375344,1187444 +cloudphysics,100000,0.7,6,1,2,3375344,1126794 +cloudphysics,100000,0.9,6,1,2,3375344,1038212 cloudphysics,200000,0.1,0.9,2,1,3375344,1850090 cloudphysics,200000,0.05,0.9,2,1,3375344,1876380 cloudphysics,200000,0.2,0.9,2,1,3375344,1776405 @@ -7324,14 +7324,14 @@ cloudphysics,200000,0.9,0.9,1,1,3375344,1463344 cloudphysics,200000,0.1,0.9,2,2,3375344,1968383 cloudphysics,200000,0.05,0.9,2,2,3375344,1978621 cloudphysics,200000,0.2,0.9,2,2,3375344,1919296 -cloudphysics,200000,0.3,0.9,2,2,3375344,1820013 +cloudphysics,200000,0.3,0.9,2,2,3375344,1819753 cloudphysics,200000,0.5,0.9,2,2,3375344,1674707 cloudphysics,200000,0.7,0.9,2,2,3375344,1483136 cloudphysics,200000,0.9,0.9,2,2,3375344,1297872 cloudphysics,200000,0.1,0.9,1,2,3375344,1984089 -cloudphysics,200000,0.05,0.9,1,2,3375344,1981621 -cloudphysics,200000,0.2,0.9,1,2,3375344,1892239 -cloudphysics,200000,0.3,0.9,1,2,3375344,1811344 +cloudphysics,200000,0.05,0.9,1,2,3375344,1981620 +cloudphysics,200000,0.2,0.9,1,2,3375344,1892238 +cloudphysics,200000,0.3,0.9,1,2,3375344,1811377 cloudphysics,200000,0.5,0.9,1,2,3375344,1631608 cloudphysics,200000,0.7,0.9,1,2,3375344,1444430 cloudphysics,200000,0.9,0.9,1,2,3375344,1229804 @@ -7349,20 +7349,20 @@ cloudphysics,200000,0.3,3,1,1,3375344,1596332 cloudphysics,200000,0.5,3,1,1,3375344,1435401 cloudphysics,200000,0.7,3,1,1,3375344,1412237 cloudphysics,200000,0.9,3,1,1,3375344,1491843 -cloudphysics,200000,0.1,3,2,2,3375344,1879879 -cloudphysics,200000,0.05,3,2,2,3375344,1929244 -cloudphysics,200000,0.2,3,2,2,3375344,1779560 -cloudphysics,200000,0.3,3,2,2,3375344,1692289 -cloudphysics,200000,0.5,3,2,2,3375344,1535132 -cloudphysics,200000,0.7,3,2,2,3375344,1326356 -cloudphysics,200000,0.9,3,2,2,3375344,1268270 -cloudphysics,200000,0.1,3,1,2,3375344,1875186 -cloudphysics,200000,0.05,3,1,2,3375344,1914447 -cloudphysics,200000,0.2,3,1,2,3375344,1775161 -cloudphysics,200000,0.3,3,1,2,3375344,1703360 -cloudphysics,200000,0.5,3,1,2,3375344,1502475 -cloudphysics,200000,0.7,3,1,2,3375344,1366851 -cloudphysics,200000,0.9,3,1,2,3375344,1287752 +cloudphysics,200000,0.1,3,2,2,3375344,1880159 +cloudphysics,200000,0.05,3,2,2,3375344,1929523 +cloudphysics,200000,0.2,3,2,2,3375344,1779923 +cloudphysics,200000,0.3,3,2,2,3375344,1690535 +cloudphysics,200000,0.5,3,2,2,3375344,1533801 +cloudphysics,200000,0.7,3,2,2,3375344,1328441 +cloudphysics,200000,0.9,3,2,2,3375344,1283378 +cloudphysics,200000,0.1,3,1,2,3375344,1875443 +cloudphysics,200000,0.05,3,1,2,3375344,1915901 +cloudphysics,200000,0.2,3,1,2,3375344,1777168 +cloudphysics,200000,0.3,3,1,2,3375344,1705808 +cloudphysics,200000,0.5,3,1,2,3375344,1515293 +cloudphysics,200000,0.7,3,1,2,3375344,1368124 +cloudphysics,200000,0.9,3,1,2,3375344,1288105 cloudphysics,200000,0.1,6,2,1,3375344,1786206 cloudphysics,200000,0.05,6,2,1,3375344,1840586 cloudphysics,200000,0.2,6,2,1,3375344,1652898 @@ -7377,17 +7377,17 @@ cloudphysics,200000,0.3,6,1,1,3375344,1599934 cloudphysics,200000,0.5,6,1,1,3375344,1438710 cloudphysics,200000,0.7,6,1,1,3375344,1421799 cloudphysics,200000,0.9,6,1,1,3375344,1495229 -cloudphysics,200000,0.1,6,2,2,3375344,1879877 -cloudphysics,200000,0.05,6,2,2,3375344,1929244 -cloudphysics,200000,0.2,6,2,2,3375344,1779240 -cloudphysics,200000,0.3,6,2,2,3375344,1691548 -cloudphysics,200000,0.5,6,2,2,3375344,1532986 -cloudphysics,200000,0.7,6,2,2,3375344,1329995 -cloudphysics,200000,0.9,6,2,2,3375344,1268362 -cloudphysics,200000,0.1,6,1,2,3375344,1875186 -cloudphysics,200000,0.05,6,1,2,3375344,1914447 -cloudphysics,200000,0.2,6,1,2,3375344,1775008 -cloudphysics,200000,0.3,6,1,2,3375344,1702746 -cloudphysics,200000,0.5,6,1,2,3375344,1501583 -cloudphysics,200000,0.7,6,1,2,3375344,1367639 -cloudphysics,200000,0.9,6,1,2,3375344,1288391 +cloudphysics,200000,0.1,6,2,2,3375344,1880157 +cloudphysics,200000,0.05,6,2,2,3375344,1929523 +cloudphysics,200000,0.2,6,2,2,3375344,1779616 +cloudphysics,200000,0.3,6,2,2,3375344,1689826 +cloudphysics,200000,0.5,6,2,2,3375344,1531727 +cloudphysics,200000,0.7,6,2,2,3375344,1332011 +cloudphysics,200000,0.9,6,2,2,3375344,1280108 +cloudphysics,200000,0.1,6,1,2,3375344,1875443 +cloudphysics,200000,0.05,6,1,2,3375344,1915901 +cloudphysics,200000,0.2,6,1,2,3375344,1777032 +cloudphysics,200000,0.3,6,1,2,3375344,1705278 +cloudphysics,200000,0.5,6,1,2,3375344,1514334 +cloudphysics,200000,0.7,6,1,2,3375344,1367976 +cloudphysics,200000,0.9,6,1,2,3375344,1287983 diff --git a/bench/results/tuning.md b/bench/results/tuning.md index b1df446..bff4f46 100644 --- a/bench/results/tuning.md +++ b/bench/results/tuning.md @@ -20,20 +20,24 @@ Produced by `go run ./cmd/tune -out results` with go1.27.3. The hit ratio in percent, averaged over the capacities at which a trace was replayed. +A best setting is picked by the very requests that it is then measured with. What it gains +is therefore the most that tuning has to offer for a trace, and more than the same setting +will gain on requests that are yet to come. + | trace | as it is | one setting for all | best setting for the trace | best setting for each capacity | the best setting for the trace is | |:---|---:|---:|---:|---:|:---| | Zipf | 38.25 | 37.86 | 38.79 | 39.03 | small 0.05, ghosts 3, promotion 1, returns 1 | | S3 | 38.90 | 40.18 | 41.75 | 43.05 | small 0.05, ghosts 0.9, promotion 1, returns 2 | | DS1 | 37.05 | 43.06 | 45.46 | 45.57 | small 0.05, ghosts 0.9, promotion 1, returns 2 | | OLTP | 39.11 | 38.45 | 40.64 | 40.71 | small 0.2, ghosts 6, promotion 2, returns 2 | -| P8 | 35.31 | 35.99 | 37.11 | 37.62 | small 0.05, ghosts 0.9, promotion 2, returns 2 | +| P8 | 35.31 | 35.99 | 37.11 | 37.63 | small 0.05, ghosts 0.9, promotion 2, returns 2 | | Glimpse | 43.24 | 44.67 | 44.84 | 44.91 | small 0.05, ghosts 0.9, promotion 1, returns 2 | -| Mixed | 43.84 | 56.37 | 59.53 | 60.54 | small 0.1, ghosts 6, promotion 2, returns 1 | +| Mixed | 43.84 | 56.39 | 59.53 | 61.06 | small 0.1, ghosts 6, promotion 2, returns 1 | | Scarab | 61.60 | 60.72 | 61.71 | 62.18 | small 0.2, ghosts 0.9, promotion 2, returns 1 | | Twitter | 60.32 | 60.11 | 60.47 | 60.52 | small 0.1, ghosts 3, promotion 2, returns 1 | | MSR | 67.22 | 67.14 | 67.23 | 67.42 | small 0.1, ghosts 0.9, promotion 1, returns 1 | | CloudPhysics | 27.59 | 27.46 | 27.70 | 28.42 | small 0.05, ghosts 0.9, promotion 2, returns 1 | -| **mean** | 44.77 | 46.55 | 47.75 | 48.18 | | +| **mean** | 44.77 | 46.55 | 47.75 | 48.23 | | The one setting that does best for all of these traces together is: small 0.05, ghosts 3, promotion 2, returns 2. @@ -66,7 +70,7 @@ The one setting that does best for all of these traces together is: small 0.05, | 400,000 | 34.62 | 40.25 | small 0.05, ghosts 0.9, promotion 1, returns 2 | | 500,000 | 41.42 | 49.31 | small 0.05, ghosts 0.9, promotion 1, returns 2 | | 600,000 | 49.21 | 56.23 | small 0.05, ghosts 0.9, promotion 2, returns 2 | -| 700,000 | 56.97 | 62.50 | small 0.05, ghosts 0.9, promotion 1, returns 2 | +| 700,000 | 56.97 | 62.51 | small 0.05, ghosts 0.9, promotion 1, returns 2 | | 800,000 | 64.31 | 68.22 | small 0.05, ghosts 0.9, promotion 1, returns 2 | ### DS1 @@ -79,9 +83,9 @@ The one setting that does best for all of these traces together is: small 0.05, | 2,000,000 | 25.32 | 27.83 | small 0.05, ghosts 0.9, promotion 1, returns 2 | | 3,000,000 | 30.85 | 38.59 | small 0.05, ghosts 0.9, promotion 1, returns 2 | | 4,000,000 | 31.96 | 43.87 | small 0.05, ghosts 0.9, promotion 1, returns 2 | -| 5,000,000 | 37.31 | 50.23 | small 0.05, ghosts 0.9, promotion 1, returns 2 | +| 5,000,000 | 37.31 | 50.21 | small 0.05, ghosts 0.9, promotion 1, returns 2 | | 6,000,000 | 40.03 | 56.51 | small 0.05, ghosts 0.9, promotion 1, returns 2 | -| 7,000,000 | 51.97 | 62.36 | small 0.05, ghosts 0.9, promotion 1, returns 2 | +| 7,000,000 | 51.97 | 62.35 | small 0.05, ghosts 0.9, promotion 1, returns 2 | | 8,000,000 | 64.91 | 69.98 | small 0.05, ghosts 0.9, promotion 1, returns 2 | ### OLTP @@ -91,9 +95,9 @@ The one setting that does best for all of these traces together is: small 0.05, | capacity | as it is | best | with | |---:|---:|---:|:---| | 250 | 21.65 | 26.30 | small 0.3, ghosts 3, promotion 2, returns 2 | -| 500 | 32.40 | 35.15 | small 0.3, ghosts 3, promotion 2, returns 2 | +| 500 | 32.40 | 35.14 | small 0.3, ghosts 3, promotion 2, returns 2 | | 750 | 37.70 | 39.29 | small 0.2, ghosts 6, promotion 2, returns 2 | -| 1,000 | 40.82 | 41.85 | small 0.2, ghosts 6, promotion 2, returns 2 | +| 1,000 | 40.82 | 41.84 | small 0.2, ghosts 6, promotion 2, returns 2 | | 1,250 | 42.91 | 43.73 | small 0.2, ghosts 6, promotion 2, returns 2 | | 1,500 | 44.53 | 45.24 | small 0.2, ghosts 6, promotion 2, returns 2 | | 1,750 | 45.88 | 46.51 | small 0.2, ghosts 6, promotion 2, returns 2 | @@ -135,9 +139,9 @@ The one setting that does best for all of these traces together is: small 0.05, | capacity | as it is | best | with | |---:|---:|---:|:---| -| 250 | 9.50 | 21.82 | small 0.2, ghosts 6, promotion 2, returns 2 | -| 500 | 11.70 | 33.87 | small 0.2, ghosts 3, promotion 2, returns 2 | -| 750 | 11.73 | 49.60 | small 0.3, ghosts 3, promotion 2, returns 1 | +| 250 | 9.50 | 21.90 | small 0.2, ghosts 6, promotion 1, returns 2 | +| 500 | 11.70 | 35.40 | small 0.1, ghosts 3, promotion 1, returns 2 | +| 750 | 11.73 | 52.07 | small 0.05, ghosts 3, promotion 1, returns 2 | | 1,000 | 11.76 | 72.61 | small 0.05, ghosts 3, promotion 2, returns 1 | | 1,250 | 76.44 | 76.59 | small 0.9, ghosts 0.9, promotion 2, returns 1 | | 1,500 | 76.49 | 76.61 | small 0.7, ghosts 0.9, promotion 2, returns 1 | @@ -152,7 +156,7 @@ The one setting that does best for all of these traces together is: small 0.05, |---:|---:|---:|:---| | 1,000 | 35.22 | 35.91 | small 0.1, ghosts 6, promotion 2, returns 2 | | 5,000 | 47.75 | 47.93 | small 0.1, ghosts 6, promotion 2, returns 2 | -| 10,000 | 53.51 | 53.57 | small 0.05, ghosts 6, promotion 2, returns 2 | +| 10,000 | 53.51 | 53.58 | small 0.05, ghosts 6, promotion 2, returns 2 | | 25,000 | 62.41 | 62.58 | small 0.05, ghosts 3, promotion 2, returns 1 | | 50,000 | 69.47 | 70.14 | small 0.3, ghosts 0.9, promotion 1, returns 1 | | 75,000 | 72.99 | 73.93 | small 0.3, ghosts 0.9, promotion 1, returns 1 | @@ -200,6 +204,6 @@ The one setting that does best for all of these traces together is: small 0.05, | 5,000 | 15.22 | 16.03 | small 0.05, ghosts 6, promotion 2, returns 2 | | 10,000 | 17.84 | 18.82 | small 0.05, ghosts 6, promotion 2, returns 2 | | 25,000 | 27.62 | 27.82 | small 0.05, ghosts 0.9, promotion 2, returns 1 | -| 50,000 | 33.87 | 34.36 | small 0.2, ghosts 3, promotion 1, returns 2 | +| 50,000 | 33.87 | 34.37 | small 0.2, ghosts 3, promotion 1, returns 2 | | 100,000 | 43.28 | 43.43 | small 0.1, ghosts 0.9, promotion 1, returns 1 | | 200,000 | 54.81 | 58.78 | small 0.1, ghosts 0.9, promotion 1, returns 2 | diff --git a/internal/ghost/ghost.go b/internal/ghost/ghost.go index d88fd01..7dbd134 100644 --- a/internal/ghost/ghost.go +++ b/internal/ghost/ghost.go @@ -6,7 +6,10 @@ // not to matter for what a cache does with the answer. package ghost -import "math/bits" +import ( + "math" + "math/bits" +) // Set remembers the hashes that were added to it until as many more have been // added as it has room for. It does not allocate once it has been @@ -128,14 +131,14 @@ func (s *Set) Remove(hash uint64) bool { // asked for the given number of times, this one included. Until then the hash // stays where it is, and is forgotten when its turn comes like any other. A // set that does not count, or a number below two, makes Recall the same as -// Remove. +// Remove. A set counts in a byte: a number above 256 is taken for 256. func (s *Set) Recall(hash uint64, times int) bool { slot, ok := s.find(hash | present) if !ok { return false } place := s.index[slot] - 1 - if int(place) < len(s.asked) && int(s.asked[place])+1 < times { + if int(place) < len(s.asked) && int(s.asked[place])+1 < min(times, math.MaxUint8+1) { s.asked[place]++ return false } diff --git a/internal/ghost/ghost_test.go b/internal/ghost/ghost_test.go index 54e1723..1d36cd0 100644 --- a/internal/ghost/ghost_test.go +++ b/internal/ghost/ghost_test.go @@ -275,6 +275,20 @@ func TestRecall(t *testing.T) { t.Fatal("Recall with no count to reach did not take the hash out") } + // The count is kept in a byte. Whoever asks for more than that holds + // gets the hash at the 256th time, whatever the number. + for _, times := range []int{256, 257, 1 << 20} { + s.Add(8) + for asked := 1; asked < 256; asked++ { + if s.Recall(8, times) { + t.Fatalf("Recall took a hash out when it was asked for the %d. time of %d", asked, times) + } + } + if !s.Recall(8, times) || s.Len() != 0 { + t.Fatalf("Recall did not take a hash out when it was asked for the 256th time of %d", times) + } + } + // Reset forgets the counts with the hashes. s.Add(4) s.Recall(4, 3) diff --git a/s3fifo/s3fifo.go b/s3fifo/s3fifo.go index 1d5731a..d783659 100644 --- a/s3fifo/s3fifo.go +++ b/s3fifo/s3fifo.go @@ -38,19 +38,26 @@ // worse than an LRU cache of the same size. For caches as small as that, // the lru package is the better choice; see also [WithShards]. // +// All of this is the cache as it is made by default. The options change the +// numbers in it, and [WithGhostReturns] the rule for ghosts. +// // # Tuning // // The numbers above are the ones that the paper recommends, and they serve a -// wide range of workloads well. They are not the best for each of them. When -// the eleven traces that this module is measured with were replayed with 84 -// settings, four of them gained next to nothing from the best of those, and -// two a great deal: eight and nearly sixteen points of hit ratio. The small -// queue that served a trace best had a twentieth of the room for six of them, -// a tenth for three and a fifth for two. Four traces did best with three or -// six times as many ghosts, and five by sending a key to the main queue only -// when it comes back for the second time. No one setting was good for all: -// the one that did best for the eleven together did worse than the standard -// one for six of them. The numbers are in bench/results/tuning.md. +// wide range of workloads well. They are not the best for each of them. The +// eleven traces that this module is measured with were replayed with 84 +// settings, and for each trace the setting was picked that answered the most +// requests, averaged over eight cache sizes. On four traces that one gained +// next to nothing, and on two a great deal: eight and nearly sixteen points +// of hit ratio. The small queue of the setting that served a trace best had a +// twentieth of the room for six of them, a tenth for three and a fifth for +// two. Four traces did best with three or six times as many ghosts, and five +// by sending a key to the main queue only when it comes back for the second +// time. No one setting was good for all: the one that did best for the eleven +// together did worse than the standard one for six of them. The numbers are +// in bench/results/tuning.md. They say what there is to gain at the most: a +// setting that is picked for the requests it is then measured with has seen +// them before, which no cache in use has. // // So the options [WithSmallRatio], [WithGhostRatio], [WithPromotionReads] and // [WithGhostReturns] are for a workload that is known, or better, recorded: @@ -58,7 +65,7 @@ // five knobs of S4-FIFO, which picks its settings with a model that was // trained in advance ("Learning-Augmented Heuristics: Simple, yet Smart, // Robust and Interpretable Cache Eviction" by Xia, Nixon, Marthen, Bhandari -// and others, 2026). A cache of this package does not pick: it does as it is +// and Yang, 2026). A cache of this package does not pick: it does as it is // told. // // # Memory @@ -267,10 +274,13 @@ func WithPromotionReads(n int) Option { // that is asked for is as good as an entry that was read twice. // // With 2, the key goes through the small queue once more the first time it -// comes back, and its ghost stays. That keeps out keys that come round at long -// intervals without ever being asked for in between, as in a scan that -// repeats; it costs a byte for every ghost. The number is brought into the -// range from 1 to 255 if it is outside. +// comes back, and its ghost stays: until the key comes back again, until its +// entry gets into the main queue by being read, until the key is deleted, or +// until the ghost's turn to be forgotten comes, as it would have without the +// entry. That keeps out keys that come round at long intervals without ever +// being asked for in between, as in a scan that repeats; it costs a byte for +// every ghost. The number is brought into the range from 1 to 255 if it is +// outside. func WithGhostReturns(n int) Option { return func(c *config) { c.returns = min(max(n, 1), math.MaxUint8) } } @@ -401,8 +411,9 @@ func (s *shard[K, V]) help() { } // Set stores value under key. A key that the cache does not know goes into -// the small queue, and one whose ghost it still has into the main queue. For -// an entry that is cached already, the write counts as a read. +// the small queue, and one whose ghost it still has into the main queue, or +// into the small queue once more if [WithGhostReturns] asks for that. For an +// entry that is cached already, the write counts as a read. // // A cache that has not been full yet, or not since it was cleared, puts no // more new entries into the small queue than that has room for by its share; @@ -480,7 +491,8 @@ func (s *shard[K, V]) evict() (key K, value V) { // The small queue is the one to evict from if it has at least its // share, which is the case exactly when the main queue has no more // than its own. Its oldest entries move to the main queue instead if - // they have been read more than once, however full that gets: it is + // they have been read often enough, which is more than once unless + // [WithPromotionReads] says otherwise, however full that gets: it is // the main queue's turn the next time. If all of them move, it is its // turn now. for fromSmall := s.mains <= s.mainCap; fromSmall && s.smalls > 0; { @@ -494,6 +506,14 @@ func (s *shard[K, V]) evict() (key K, value V) { links[idx].Tag |= main sl.PushFront(main, idx) s.mains++ + // An entry may have a ghost if ghosts have to come back + // more than once: this one may be here on its first return. + // It has made it now, and that is the end of the ghost. Were + // it to stay, the key would get in more easily the next time + // than if it had to come back only once. + if s.returns > 1 { + s.ghosts.Remove(ghostOf(sl.Hash(idx), links[idx].Tag)) + } continue } @@ -528,8 +548,9 @@ func (s *shard[K, V]) evict() (key K, value V) { return key, value } -// Delete removes key and returns the value it had. If the cache has no entry -// for key but a ghost, the ghost goes: the cache forgets the key altogether. +// Delete removes key and returns the value it had. If the cache has a ghost +// for key, with or without an entry, the ghost goes: the cache forgets the +// key altogether. func (c *Cache[K, V]) Delete(key K) (value V, ok bool) { h := maphash.Comparable(c.seed, key) s, hash := &c.shards[uint32(h>>32)&c.mask], uint32(h) @@ -544,7 +565,10 @@ func (c *Cache[K, V]) Delete(key K) (value V, ok bool) { } s.slab.Unlink(idx) s.slab.Remove(idx) - } else { + } + // An entry has no ghost, unless ghosts have to come back more than + // once and this one has only come back. + if !ok || s.returns > 1 { s.ghosts.Remove(ghostOf(hash, tagOf(h, small))) } s.mu.Unlock() diff --git a/s3fifo/s3fifo_test.go b/s3fifo/s3fifo_test.go index 1103140..54935ab 100644 --- a/s3fifo/s3fifo_test.go +++ b/s3fifo/s3fifo_test.go @@ -440,6 +440,45 @@ func TestTuning(t *testing.T) { expect(in{10, 9, 8, 7, 6, 5, 4, 3, 2}, in{1}) } } + + // Deleting a key makes the cache forget it, also when the key has an + // entry and a ghost at once, as one does that has come back for the + // first time. Set again, it is like any key that is new. + c, expect = full(t, s3fifo.WithGhostReturns(2)) + evicts(t, c, 11, 1) + evicts(t, c, 1, 11) + if _, ok := c.Delete(1); !ok { + t.Fatal("Delete(1) found nothing") + } + c.Set(1, "") + expect(in{10, 9, 8, 7, 6, 5, 4, 3, 2}, in{1}) + // And 11, whose ghost nobody has deleted, has come back for the + // first time. + evicts(t, c, 11, 1) + expect(in{10, 9, 8, 7, 6, 5, 4, 3, 2}, in{11}) + + // An entry that gets into the main queue by being read leaves no + // ghost behind either. Here 1 does so on its first return, with + // room for ghosts to spare. Then nine entries that were read twice + // each push the main queue round until 1 has left it again. + c, expect = full(t, s3fifo.WithGhostReturns(2), s3fifo.WithGhostRatio(8)) + evicts(t, c, 11, 1) + evicts(t, c, 1, 11) + c.Get(1) + c.Get(1) + evicts(t, c, 12, 2) + expect(in{1, 10, 9, 8, 7, 6, 5, 4, 3}, in{12}) + for key := 13; key <= 21; key++ { + c.Get(key - 1) + c.Get(key - 1) + evicts(t, c, key, []int{3, 4, 5, 6, 7, 8, 9, 10, 1}[key-13]) + } + expect(in{20, 19, 18, 17, 16, 15, 14, 13, 12}, in{21}) + // When it comes back now, it is as for the first time: had the + // ghost stayed, this would have been the second, and 1 would be in + // the main queue. + evicts(t, c, 1, 21) + expect(in{20, 19, 18, 17, 16, 15, 14, 13, 12}, in{1}) }) } @@ -493,6 +532,13 @@ func (m *model) ghostOf(key int) int { return slices.IndexFunc(m.ghosts, func(g ghost) bool { return g.key == key }) } +// forget empties the place of the ghost of key, if it has one. +func (m *model) forget(key int) { + if at := m.ghostOf(key); at >= 0 { + m.ghosts[at].key = -1 + } +} + type entry struct { key, value int reads int @@ -575,6 +621,8 @@ func (m *model) evict() (key, value int) { if e.reads >= m.promote { e.reads = 0 m.main = slices.Insert(m.main, 0, e) + // A key that has made it to the main queue is no ghost. + m.forget(e.key) continue } @@ -602,12 +650,10 @@ func (m *model) evict() (key, value int) { } func (m *model) Delete(key int) (int, bool) { + // A key that is remembered is forgotten, with its entry or without. + m.forget(key) e := m.find(key) if e == nil { - // A key that is only remembered is forgotten. - if at := m.ghostOf(key); at >= 0 { - m.ghosts[at].key = -1 - } return 0, false } same := func(other *entry) bool { return other == e } diff --git a/s3fifo/shards_test.go b/s3fifo/shards_test.go index fcd4140..978dd44 100644 --- a/s3fifo/shards_test.go +++ b/s3fifo/shards_test.go @@ -8,6 +8,7 @@ import ( "testing" "github.com/floatdrop/evict/internal/cachetest" + "github.com/floatdrop/evict/internal/ghost" ) func TestShards(t *testing.T) { @@ -132,6 +133,11 @@ func TestShare(t *testing.T) { {0.9999, 1000, 999}, {1.0 / 3, 3, 1}, {2.0 / 3, 3, 2}, + // The hair is no more than that: a thousandth of an entry short of + // one is none, and so is a hundred-thousandth. + {0.09995, 10, 0}, + {0.099999, 10, 0}, + {0.999995, 2, 1}, } { if got := share(tt.ratio, tt.n); got != tt.want { t.Errorf("share(%v, %d) = %d, want %d", tt.ratio, tt.n, got, tt.want) @@ -178,18 +184,38 @@ func TestOptions(t *testing.T) { t.Errorf("%s: the main queue has room for %d, there are %d ghosts, promotion takes %d reads and a ghost %d returns; want %d, %d, %d and %d", tt.name, s.mainCap, s.ghosts.Cap(), s.promote, s.returns, tt.mainCap, tt.ghosts, tt.promote, tt.returns) } + // The ghosts count how often they are asked for if they have to + // come back more than once, and only then. + if counts := counting(&s.ghosts); tt.ghosts > 0 && counts != (tt.returns > 1) { + t.Errorf("%s: that the ghosts count is %t, with %d returns", tt.name, counts, tt.returns) + } } - // The shares are those of each shard. - c := New[int, int](1000, WithShards(8), WithSmallRatio(0.2), WithGhostRatio(2)) + // The shares are those of each shard, and what goes for one shard goes + // for all. + c := New[int, int](1000, WithShards(8), WithSmallRatio(0.2), WithGhostRatio(2), WithPromotionReads(1), WithGhostReturns(3)) for i := range c.shards { - if s := &c.shards[i]; s.capacity != 125 || s.mainCap != 100 || s.ghosts.Cap() != 250 { + s := &c.shards[i] + if s.capacity != 125 || s.mainCap != 100 || s.ghosts.Cap() != 250 { t.Errorf("shard %d holds %d entries, %d of them in the main queue, and %d ghosts; want 125, 100 and 250", i, s.capacity, s.mainCap, s.ghosts.Cap()) } + if counts := counting(&s.ghosts); s.promote != 1 || s.returns != 3 || !counts { + t.Errorf("shard %d: promotion takes %d reads and a ghost %d returns, and that the ghosts count is %t; want 1, 3 and true", + i, s.promote, s.returns, counts) + } } } +// counting reports whether a set of ghosts counts how often each one is asked +// for: one that does keeps a ghost that is to come back twice the first time. +// The set is used up by asking. +func counting(ghosts *ghost.Set) bool { + const hash = 12345 + ghosts.Add(hash) + return !ghosts.Recall(hash, 2) +} + // TestBookkeeping checks through a long run of operations that the counters // of a shard agree with its lists, that every entry is tagged with the queue // it is in, and that the queues stay within their bounds.