haskell-fsrs 7.0.0 → 7.1.0

raw patch · 17 files changed

+7345/−3519 lines, 17 filesPVP ok

version bump matches the API change (PVP)

API changes (from Hackage documentation)

Files

• CHANGELOG.md +63/−1
• README.md +65/−35
• haskell-fsrs.cabal +8/−4
• reference/fsrs7_reference.py +214/−104
• reference/gen_golden.py +121/−77
• reference/test_reference.py +204/−60
• src/FSRS.hs +7/−4
• src/FSRS/Algorithm.hs +262/−111
• src/FSRS/Parameters.hs +138/−130
• src/FSRS/Scheduler.hs +11/−8
• src/FSRS/Types.hs +20/−1
• test/Test/FSRS/Gen.hs +61/−2
• test/Test/FSRS/Golden.hs +30/−27
• test/Test/FSRS/GoldenData.hs +5717/−2713
• test/Test/FSRS/Properties.hs +232/−123
• test/Test/FSRS/SchedulerSpec.hs +6/−4
• test/Test/FSRS/Unit.hs +186/−115

@@ -8,6 +8,67 @@  ## Unreleased +## 7.1.0 - 2026-08-21++Track the **finished** FSRS-7. Release 7.0.0 implemented the 35-weight,+single-trace draft still published as `models/fsrs_v7.py` in `srs-benchmark`;+the algorithm was subsequently finalised with 34 weights and a dual-trace+memory model, and that is what "FSRS-7" now means. The reference is+[`Expertium/fsrs-rs-speed-autoresearch`](https://github.com/Expertium/fsrs-rs-speed-autoresearch),+upstreamed into `fsrs-rs` in+[PR #426](https://github.com/open-spaced-repetition/fsrs-rs/pull/426).++This is a breaking change to the model's numbers and to several signatures.+Stored parameter vectors and stored memory states from 7.0.0 are **not**+compatible.++### Changed++- `parameterCount` is now `34`, and `defaultParameters`, `parameterBounds` and+  `orderingConstraints` are the finished model's. The layout is: `w0..w3`+  initial stability, `w4..w6` difficulty, `w7..w14` slow-trace stability,+  `w15..w22` fast-trace stability, `w23..w30` forgetting curve, `w31..w33` the+  curve's modulation by difficulty and stability.+- `MemoryState` gained a third field, `memoryStabilityFast`: FSRS-7 tracks two+  memory traces. A new card's fast trace starts at `fastTraceRatio` (0.8) of+  its slow one.+- `retrievability`, `retrievabilityDerivative` and `nextIntervalDays` take a+  whole `MemoryState` instead of a `Stability` — the curve mixes both traces+  and is shaped by the difficulty too. So does `nextReviewInterval`.+- `retrievability` is rescaled into `[1e-5, 1 - 1e-5]`, so `retrievability p 0`+  is now just short of `1` rather than exactly `1`.+- `nextDifficulty` takes the retrievability at review time: a lapse's step is+  weighted by how surprising the lapse was.+- `stabilityAfterReview` takes a stability and a difficulty rather than a+  `MemoryState`, since it now applies to whichever trace is being updated, and+  its post-lapse branch no longer depends on difficulty.+- `nextStability` returns both traces as a `(slow, fast)` pair.+- `longTermWeights` / `shortTermWeights` are now `slowTraceWeights` /+  `fastTraceWeights`, and `StabilityWeights` lost+  `swFailureDifficultyExponent` — the weight it read was ablated from both+  blocks.+- `CurveWeights` was reshaped: `cwDecay1` became `cwDecayBase1` (the fast+  component's decay is now scaled by the fast stability, so it is not a+  constant), `cwDecay2` holds a magnitude rather than a negated value, and+  `cwDifficultyWeight`, `cwDifficultyDecay` and `cwStabilityDecay1` are new.++### Added++- `fastTraceRetrievability` — the fast trace's own recall probability, which is+  what drives its stability update.+- `initialMemoryState` — the state a card is born with.+- `retrievabilityFloor` and `fastTraceRatio`.+- `orderingConstraints` is now exported from `FSRS.Parameters`.+- The two numeric assertions the reference implementation makes about FSRS-7 in+  its own test suite are now reproduced in ours, in Haskell and in Python, so+  the port is pinned to upstream and not only to our own transcription.++### Removed++- `transitionCoefficient`, `transitionRate` and `transitionAmplitude`, along+  with the two weights behind them. The elapsed-time blend between a long- and+  a short-term stability update is gone; the fast memory trace replaces it.+ ## 7.0.0 - 2026-08-20  Initial release: FSRS-7.@@ -16,7 +77,8 @@  - `FSRS.Types` — `Rating`, `MemoryState` and the `Stability` / `Difficulty` /   `Retrievability` / `Days` synonyms.-- `FSRS.Parameters` — the 35 FSRS-7 weights, the default set, bounds taken from+- `FSRS.Parameters` — the 35 FSRS-7 weights (of the draft model, see 7.1.0),+  the default set, bounds taken from   the upstream optimiser's clipper, validation with per-weight errors, clamping,   and typed views onto the weight blocks (`StabilityWeights`, `CurveWeights`). - `FSRS.Algorithm` — the model: the two-component `retrievability` curve and its

@@ -7,10 +7,12 @@ model behind Anki's scheduler.  FSRS predicts when you are about to forget a flashcard so it can be shown to-you just before that happens. It tracks two numbers per card:+you just before that happens. It tracks three numbers per card:  - **stability** — the memory's half-life, in days; - **difficulty** — how hard this particular card is for you, on a 1–10 scale;+- a second, faster-decaying **stability** — FSRS-7 tracks two memory traces,+  which is how it tells a review minutes later apart from one weeks later;  and derives **retrievability**, the probability that you can recall the card right now.@@ -20,21 +22,34 @@  ## What is new in FSRS-7 -FSRS-7 has **35 parameters**, up from FSRS-6's 21. Three things changed:+FSRS-7 has **34 parameters**, up from FSRS-6's 21. What changed: -- **The forgetting curve is a mixture of two power laws** rather than one, with-  the mixing weights themselves depending on stability. That is where six of-  the new parameters go, and it means the curve has no closed-form inverse — so-  computing an interval is a root-find, not a formula.-- **The stability update runs twice**, once with a long-term weight block and-  once with a short-term one, and the two are blended by a smooth transition-  function of the elapsed time. FSRS-6 instead switched between two separate-  formulas on a same-day / not-same-day flag.+- **A card has two memory traces, not one.** Alongside the familiar stability+  there is a second, faster-decaying one, and each is updated by its own block+  of eight weights — the slow trace from the mixed retrievability, the fast+  trace from its own. This is what makes same-day reviews behave differently+  from spaced ones, where FSRS-6 switched between two formulas on a same-day /+  not-same-day flag.+- **The forgetting curve is a mixture of two power laws** rather than one, one+  per trace, with the mixing weights depending on the traces' own stabilities.+  The curve has no closed-form inverse, so computing an interval is a+  root-find, not a formula.+- **The forgetting curve depends on difficulty**, which it never did in any+  earlier version: a hard card experiences time faster, and leans more on its+  slow trace.+- **Post-lapse stability no longer depends on difficulty**, and a lapse's+  difficulty step is weighted by how *surprising* the lapse was — forgetting a+  card you were expected to recall says more about it than forgetting one that+  was long overdue. - **Intervals are genuinely continuous.** Every earlier version was designed   around whole-day intervals; FSRS-7 is the first that gives realistic   predictions for same-day reviews. Ten minutes is `10 / 1440` days and the   model means it. +One consequence worth knowing: retrievability is rescaled into+`[1e-5, 1 - 1e-5]`, so a card reviewed a moment ago has a retrievability just+short of `1` rather than exactly `1`.+ ## Getting started  ```console@@ -55,13 +70,16 @@  -- When should it come back, if we want a 90% chance of recall? whenDue :: Days-whenDue = nextIntervalDays defaultParameters 0.9 (memoryStability secondReview)+whenDue = nextIntervalDays defaultParameters 0.9 secondReview  -- How likely are we to recall it three days from now? odds :: Retrievability-odds = retrievability defaultParameters 3 (memoryStability secondReview)+odds = retrievability defaultParameters 3 secondReview ``` +Both take the whole `MemoryState`, not just a stability: the FSRS-7 curve mixes+the two traces and is shaped by the difficulty too.+ Whole-card scheduling — learning steps, due dates, lapses, fuzz — lives in `FSRS.Scheduler`: @@ -76,7 +94,7 @@ `reviewCardFuzzed` and hand it the random sample yourself, so scheduling stays a pure function of its inputs. -Optimising the 35 weights against a user's own review history is *not* part of+Optimising the 34 weights against a user's own review history is *not* part of this package. Use the upstream optimiser and feed the result to `mkParameters`.  ### Modules@@ -85,25 +103,25 @@ | --- | --- | | `FSRS` | Re-exports everything below. | | `FSRS.Types` | `Rating`, `MemoryState`, the type synonyms. |-| `FSRS.Parameters` | The 35 weights, their bounds, validation, typed views onto the blocks. |+| `FSRS.Parameters` | The 34 weights, their bounds, validation, typed views onto the blocks. | | `FSRS.Algorithm` | The model: forgetting curve, difficulty, stability, interval inversion. | | `FSRS.Scheduler` | Cards, due dates, learning steps, fuzz. |  ## Provenance -`FSRS.Algorithm` is a transcription of the reference implementation the-upstream authors benchmark against:-[`srs-benchmark`](https://github.com/open-spaced-repetition/srs-benchmark),-`models/fsrs_v7.py` and `models/fsrs_v7_interval_penalty.py` (revision-`8c11619`).+`FSRS.Algorithm` is a transcription of the **finished** FSRS-7, whose reference+implementation is the Rust model the algorithm's author signed off on:+[`Expertium/fsrs-rs-speed-autoresearch`](https://github.com/Expertium/fsrs-rs-speed-autoresearch)+(`fsrs-rs/src/model.rs`, `PARAM_LEN = 34`), upstreamed into `fsrs-rs` in+[PR #426](https://github.com/open-spaced-repetition/fsrs-rs/pull/426). -Two things are worth knowing about the default weights:+Two things are worth knowing about the weights: -- The published defaults use **1.3** for `w15` and `w24`, the easy bonus of the-  two stability blocks. The `Default Parameters` section of the `srs-benchmark`-  README still lists `1.15`; that block has not been touched since 2026-03-18,-  while the model itself was changed to `1.3` three days later (commit-  `e274ac3`). This package follows the model.+- Indices 31–33 follow the reference's all-positive storage convention: they+  are stored shifted so that their range starts at zero, and the formulas+  offset them back (`w - 0.5` for the difficulty weight, `w - 0.3` for the two+  decay modulators). `parametersToList` gives you the stored values, which is+  what an upstream optimiser produces and consumes. - The parameter bounds in `parameterBounds` come from the clipper the upstream   optimiser applies after every gradient step, so any weights a real optimiser   produces will satisfy them.@@ -115,24 +133,36 @@  ## Tests -Two complementary suites, 113 test cases in all:+Three complementary suites, 126 test cases in all: -- **Golden vectors** — 2,589 of them, covering every function of the model+- **Golden vectors** — 5,586 of them, covering every function of the model   across three parameter sets, generated by `reference/fsrs7_reference.py`, a   pure-Python transcription of the same upstream source. Both implementations   perform the same floating-point operations in the same order, so they are   checked to a relative tolerance of `1e-12`.+- **Upstream fixtures** — the two numeric assertions the reference+  implementation makes about FSRS-7 in its own test suite+  (`test_memory_state_fsrs7` and `test_next_interval_fsrs7`), reproduced+  verbatim. These are the only fixtures in the package that did not come out of+  our own transcription, so they are what pins the port to upstream rather than+  to itself. - **Properties** — invariants that should hold for *every* parameter vector   inside the valid box: retrievability is a probability and decreases with-  time, a better rating never means less stability, difficulty stays in range-  however long the history, the interval solver really does land on the desired-  retention, and so on.+  time, a better rating never means less stability, post-lapse stability+  ignores difficulty, difficulty stays in range however long the history, the+  interval solver really does land on the desired retention, and so on. -A few properties hold only for well-behaved weights and say so. Because-FSRS-7 re-weights its two power laws by stability, adversarial-but-in-bounds-weights can make retrievability *fall* as stability grows; the properties about-how the model responds to stability are therefore stated for-`defaultParameters`.+A few properties hold only for well-behaved weights and say so. Two kinds of+caveat show up:++- Because FSRS-7 re-weights its two power laws by stability,+  adversarial-but-in-bounds weights can make retrievability *fall* as stability+  grows. Those properties are stated for `defaultParameters`.+- Difficulty pulls the curve two ways — it speeds the slow component up, but+  also shifts mixing weight onto the fast one. At the trace ratio the model+  itself maintains the first effect wins; for an arbitrarily lopsided pair of+  traces neither does. Properties about difficulty and about stability are+  therefore stated over states at that ratio.  To regenerate the golden vectors after touching the reference: 

@@ -3,7 +3,7 @@ name:               haskell-fsrs -- The major version tracks the algorithm version, as py-fsrs and fsrs-rs do: -- 7.x.y implements FSRS-7.-version:            7.0.0+version:            7.1.0 synopsis:           FSRS-7, the Free Spaced Repetition Scheduler description:   A Haskell implementation of FSRS-7, the seventh version of the Free Spaced@@ -11,9 +11,13 @@   forget a flashcard, so it can be shown to you just before that happens.   .   The model itself lives in "FSRS.Algorithm" and is a direct transcription of-  the reference implementation used by the upstream benchmark. A card-  scheduler built on top of it — learning steps, due dates, lapses, fuzz —-  lives in "FSRS.Scheduler". Import "FSRS" for everything at once.+  the finished FSRS-7 reference implementation. A card scheduler built on top+  of it — learning steps, due dates, lapses, fuzz — lives in+  "FSRS.Scheduler". Import "FSRS" for everything at once.+  .+  FSRS-7 has 34 weights and tracks two memory traces per card; see the+  changelog if you are upgrading from 7.0.0, which implemented an earlier+  35-weight draft.  homepage:           https://github.com/kutyel/haskell-fsrs#readme bug-reports:        https://github.com/kutyel/haskell-fsrs/issues

@@ -1,138 +1,203 @@ """Pure-Python transcription of the FSRS-7 memory model. -Transcribed line-by-line from the reference implementation used by the official-benchmark:+Transcribed line-by-line from the *finished* FSRS-7, whose reference+implementation is the Rust model the algorithm's author signed off on: -    https://github.com/open-spaced-repetition/srs-benchmark-    models/fsrs_v7.py                  (rev 8c11619, 2026-08-04)-    models/fsrs_v7_interval_penalty.py (same rev)+    https://github.com/Expertium/fsrs-rs-speed-autoresearch+    fsrs-rs/src/model.rs      (PARAM_LEN = 34, "DUAL-TRACE ... finished FSRS-7")+    fsrs-rs/src/inference.rs  (DEFAULT_PARAMETERS) -The benchmark implementation is written in PyTorch; this file reproduces the-exact same scalar arithmetic with the standard library only, so that it can be-used to generate golden vectors for the Haskell port without pulling in torch.+and its scalar port in the fsrs-rs pull request that upstreams it:++    https://github.com/open-spaced-repetition/fsrs-rs/pull/426+    src/model_v7.rs, src/parameter_clipper_v7.rs++The reference is written with tensors; this file reproduces the exact same+scalar arithmetic with the standard library only, so that it can be used to+generate golden vectors for the Haskell port without pulling in torch.++What the finished model changed relative to the 35-parameter draft:++* The single memory trace became *two*. A card carries a slow stability and a+  fast one, and the forgetting curve is a mixture of a fast and a slow recall+  component. This replaces the draft's `transition_function`, which blended a+  long- and a short-term stability update by elapsed time; the two weights that+  parameterised it are gone.+* Post-lapse stability lost its `d ** -fail_d_exp` factor in both stability+  blocks — it is now difficulty-independent — so each block has eight weights+  instead of nine.+* The forgetting curve gained three weights that modulate it by difficulty and+  stability, and it now depends on difficulty at all, which it never did before.+* A lapse's difficulty step is weighted by how surprising the lapse was.+* Retrievability is rescaled into `[1e-5, 1 - 1e-5]`, so a card reviewed at+  `t == 0` has recall probability `1 - 1e-5` rather than exactly `1`. """  import math -# w[15] / w[24] (the "easy bonus" of the long-/short-term blocks) are 1.3 here.-# The srs-benchmark README still lists 1.15 for those two weights, but that-# block of the README has not been touched since 2026-03-18 while the code was-# updated to 1.3 on 2026-03-21 (commit e274ac3, "Update FSRS-7"). The code wins.+# Indices 31..33 follow the reference's all-positive storage convention: they+# are stored shifted so that their range starts at zero, and the formulas below+# offset them back (`w - 0.5` for the difficulty weight, `w - 0.3` for the two+# decay modulators). DEFAULT_PARAMETERS = [     # Initial stability, indexed by rating - 1-    0.041, 2.4175, 4.1283, 11.9709,+    0.1104, 2.2395, 3.9221, 11.7841,     # Difficulty-    5.6385, 0.4468, 3.262,-    # Stability, long-term block-    2.3054, 0.1688, 1.3325, 0.3524, 0.0049, 0.7503, 0.0896, 0.6625, 1.3,-    # Stability, short-term block-    0.882, 0.3072, 3.5875, 0.303, 0.0107, 0.2279, 2.6413, 0.5594, 1.3,-    # Long/short-term transition function-    2.5, 1.0,+    6.1686, 0.6457, 3.6807,+    # Stability, slow trace+    1.9795, 0.0, 1.3826, 0.7024, 0.5999, 0.8146, 0.6398, 1.0,+    # Stability, fast trace+    1.3207, 0.6707, 3.8668, 0.4416, 0.0934, 1.8631, 0.6162, 1.0869,     # Forgetting curve-    0.0723, 0.1634, 0.5, 0.9555, 0.2245, 0.6232, 0.1362, 0.3862,+    0.1567, 0.0801, 0.2421, 0.9464, 0.1433, 0.7145, 0.0, 0.5667,+    # Forgetting-curve modulation by difficulty and stability+    0.3734, 0.5333, 0.3048, ]  LOWER_BOUNDS = [     0.0001, 0.0001, 0.0001, 0.0001,     1.0, 0.001, 0.1,-    0.0, 0.0, 0.3, 0.01, 0.001, 0.1, 0.0, 0.0, 1.0,-    0.0, 0.0, 0.5, 0.001, 0.001, 0.001, 0.0, 0.0, 1.0,-    2.5, 0.0,-    0.01, 0.01, 0.5, 0.5, 0.01, 0.1, 0.0, 0.1,+    0.0, 0.0, 0.3, 0.01, 0.1, 0.0, 0.0, 1.0,+    0.0, 0.0, 0.5, 0.001, 0.001, 0.0, 0.0, 1.0,+    0.01, 0.01, 0.2, 0.5, 0.01, 0.1, 0.0, 0.1,+    0.0, 0.0, 0.0, ]  UPPER_BOUNDS = [     50.0, 100.0, 100.0, 100.0,     10.0, 4.0, 4.0,-    4.0, 1.2, 3.0, 1.5, 0.9, 1.0, 3.5, 1.0, 7.0,-    4.0, 2.0, 6.0, 1.5, 2.0, 1.0, 5.0, 1.0, 7.0,-    15.0, 1.0,+    4.0, 1.2, 3.0, 1.5, 1.0, 3.5, 1.0, 7.0,+    4.0, 2.0, 6.0, 1.5, 1.0, 5.0, 1.0, 7.0,     0.25, 0.95, 0.85, 0.99, 1.0, 1.0, 0.9, 1.1,+    1.0, 0.6, 0.6, ] -STABILITY_MIN = 0.0001          # config.s_min for FSRS-7 (always run with --secs)-STABILITY_MAX = 36500.0         # config.s_max-MIN_DIFFICULTY = 1.0-MAX_DIFFICULTY = 10.0+STABILITY_MIN = 0.0001          # S_MIN+STABILITY_MAX = 36500.0         # S_MAX+MIN_DIFFICULTY = 1.0            # D_MIN+MAX_DIFFICULTY = 10.0           # D_MAX MIN_INTERVAL = 1.0 / 86400.0    # one second, in days MAX_INTERVAL = 36500.0          # one hundred years, in days -LONG_TERM_BASE = 7-SHORT_TERM_BASE = 16+# Where each trace's block of eight stability weights starts.+SLOW_TRACE_BASE = 7+FAST_TRACE_BASE = 15 +# The fast trace starts at, and after a lapse is capped at, this fraction of+# the slow one.+FAST_TRACE_RATIO = 0.8 +# Retrievability is squeezed into [RETENTION_FLOOR, 1 - RETENTION_FLOOR] so+# that neither it nor its logarithm can saturate.+RETENTION_FLOOR = 1e-5++# The exponent of `factor1` is built in log space and capped here so that both+# the value and its gradient stay finite.+LOG_FACTOR_CAP = 60.0++# The magnitude of either decay is held inside this range.+DECAY_MIN = 0.01+DECAY_MAX = 0.95++ def clamp(x, lo, hi):     return min(max(x, lo), hi)   # ---------------------------------------------------------------------------# Forgetting curve: a stability-weighted mixture of two power laws.+# Forgetting curve: a mixture of a fast-trace and a slow-trace power law. # --------------------------------------------------------------------------  -def forgetting_curve(w, t, s):-    """Probability of recall after `t` days with stability `s` days."""-    decay1 = -w[-8]-    decay2 = -w[-7]-    base1, base2 = w[-6], w[-5]-    base_weight1, base_weight2 = w[-4], w[-3]-    swp1, swp2 = w[-2], w[-1]+def fast_component_recall(w, t, s_fast):+    """The fast trace's own recall probability after `t` days. -    t_over_s = t / s+    Shared by the forgetting curve, as its fast component, and by the+    fast-trace stability update, which reads this rather than the mixture.+    """+    t = max(t, 0.0)+    s_fast = clamp(s_fast, STABILITY_MIN, STABILITY_MAX)+    decay1 = -clamp(w[23] * s_fast ** (w[33] - 0.3), DECAY_MIN, DECAY_MAX)+    factor1 = math.exp(min(math.log(w[25]) / decay1, LOG_FACTOR_CAP)) - 1.0+    return (1.0 + factor1 * (t / s_fast)) ** decay1 -    def power_law_retention(base, decay):-        factor = base ** (1.0 / decay) - 1.0-        return (1.0 + factor * t_over_s) ** decay -    r1 = power_law_retention(base1, decay1)-    r2 = power_law_retention(base2, decay2)+def _curve_parts(w, t, state):+    """The pieces of the mixture, shared by the curve and its derivative."""+    t = max(t, 0.0)+    s = clamp(state[0], STABILITY_MIN, STABILITY_MAX)+    d = clamp(state[1], MIN_DIFFICULTY, MAX_DIFFICULTY)+    s_fast = clamp(state[2], STABILITY_MIN, STABILITY_MAX) -    weight1 = base_weight1 * s ** -swp1-    weight2 = base_weight2 * s ** swp2+    # Fast component: decay modulated by the fast stability itself.+    decay1 = -clamp(w[23] * s_fast ** (w[33] - 0.3), DECAY_MIN, DECAY_MAX)+    factor1 = math.exp(min(math.log(w[25]) / decay1, LOG_FACTOR_CAP)) - 1.0+    inner1 = 1.0 + factor1 * (t / s_fast) -    return (weight1 * r1 + weight2 * r2) / (weight1 + weight2)+    # Slow component: difficulty rescales *time* rather than the decay, so a+    # hard card experiences time faster but decays with the same slope.+    decay2 = -clamp(w[24], DECAY_MIN, DECAY_MAX)+    factor2 = w[26] ** (1.0 / decay2) - 1.0+    d_timescale = math.exp((d - 5.0) * (w[32] - 0.3))+    inner2 = 1.0 + factor2 * d_timescale * (t / s) +    # Mixture weights, one keyed to each trace; the slow one is also modulated+    # by difficulty.+    weight1 = w[27] * s_fast ** -w[29]+    weight2 = w[28] * s ** w[30] * math.exp((d - 5.0) * (w[31] - 0.5)) -def forgetting_curve_derivative(w, t, s):-    """dR/dt of `forgetting_curve`; always <= 0 for in-bounds parameters."""-    decay1 = -w[-8]-    decay2 = -w[-7]-    base1, base2 = w[-6], w[-5]-    base_weight1, base_weight2 = w[-4], w[-3]-    swp1, swp2 = w[-2], w[-1]+    return (+        decay1, factor1, inner1, s_fast,+        decay2, factor2 * d_timescale, inner2, s,+        weight1, weight2,+    ) -    c1 = base1 ** (1.0 / decay1) - 1.0-    c2 = base2 ** (1.0 / decay2) - 1.0-    t_over_s = t / s-    i1 = 1.0 + c1 * t_over_s-    i2 = 1.0 + c2 * t_over_s -    weight1 = base_weight1 * s ** -swp1-    weight2 = base_weight2 * s ** swp2+def forgetting_curve(w, t, state):+    """Probability of recall after `t` days, given a `(S, D, S_fast)` state."""+    (+        decay1, _factor1, inner1, _s_fast,+        decay2, _factor2, inner2, _s,+        weight1, weight2,+    ) = _curve_parts(w, t, state) -    d1 = decay1 * i1 ** (decay1 - 1.0) * (c1 / s)-    d2 = decay2 * i2 ** (decay2 - 1.0) * (c2 / s)-    return (weight1 * d1 + weight2 * d2) / (weight1 + weight2)+    r1 = inner1 ** decay1+    r2 = inner2 ** decay2+    retention = (weight1 * r1 + weight2 * r2) / (weight1 + weight2)+    return retention * (1.0 - 2.0 * RETENTION_FLOOR) + RETENTION_FLOOR  -def next_interval(w, desired_retention, s):-    """Invert the forgetting curve: the t with R(t, s) = desired_retention.+def forgetting_curve_derivative(w, t, state):+    """dR/dt of `forgetting_curve`; always <= 0 for in-bounds parameters."""+    (+        decay1, factor1, inner1, s_fast,+        decay2, factor2, inner2, s,+        weight1, weight2,+    ) = _curve_parts(w, t, state) +    d1 = decay1 * inner1 ** (decay1 - 1.0) * (factor1 / s_fast)+    d2 = decay2 * inner2 ** (decay2 - 1.0) * (factor2 / s)+    derivative = (weight1 * d1 + weight2 * d2) / (weight1 + weight2)+    return derivative * (1.0 - 2.0 * RETENTION_FLOOR)+++def next_interval(w, desired_retention, state):+    """Invert the forgetting curve: the t with R(t, state) = desired_retention.+     The mixture has no closed-form inverse. R is strictly decreasing in t, so a     bisection on [MIN_INTERVAL, MAX_INTERVAL] converges to full double     precision; this is the value the Haskell root-finder is checked against.     """     lo, hi = MIN_INTERVAL, MAX_INTERVAL-    if forgetting_curve(w, lo, s) <= desired_retention:+    if forgetting_curve(w, lo, state) <= desired_retention:         return lo-    if forgetting_curve(w, hi, s) >= desired_retention:+    if forgetting_curve(w, hi, state) >= desired_retention:         return hi     for _ in range(200):         mid = math.sqrt(lo * hi)          # bisect in log space         if mid <= lo or mid >= hi:             break-        if forgetting_curve(w, mid, s) > desired_retention:+        if forgetting_curve(w, mid, state) > desired_retention:             lo = mid         else:             hi = mid@@ -157,10 +222,19 @@     return 0.01 * init + 0.99 * current  -def next_difficulty(w, difficulty, rating):+def next_difficulty(w, difficulty, rating, retrievability):+    """Difficulty after a review.++    A lapse's step is weighted by how surprising the lapse was: forgetting a+    card the model expected you to recall says more about the card's difficulty+    than forgetting one that was long overdue.+    """     delta_d = -w[6] * (rating - 3)+    if rating == 1:+        delta_d *= retrievability + 0.1     new_d = difficulty + linear_damping(delta_d, difficulty)-    return mean_reversion(initial_difficulty(w, 4), new_d)+    reverted = mean_reversion(initial_difficulty(w, 4), new_d)+    return clamp(reverted, MIN_DIFFICULTY, MAX_DIFFICULTY)   # --------------------------------------------------------------------------@@ -169,23 +243,25 @@   def stability_after_review(w, s, d, r, rating, base):-    """One half of the stability update; `base` is 7 (long) or 16 (short)."""+    """One trace's stability update; `base` is SLOW_TRACE_BASE or FAST_TRACE_BASE.++    Post-lapse stability is difficulty-independent in the finished model: the+    `d ** -fail_d_exp` factor of the draft was ablated.+    """     w_sinc_base = w[base]     w_sinc_s_exp = w[base + 1]     w_sinc_r_mult = w[base + 2]     w_fail_mult = w[base + 3]-    w_fail_d_exp = w[base + 4]-    w_fail_s_exp = w[base + 5]-    w_fail_r_mult = w[base + 6]-    w_hard = w[base + 7]-    w_easy = w[base + 8]+    w_fail_s_exp = w[base + 4]+    w_fail_r_mult = w[base + 5]+    w_hard = w[base + 6]+    w_easy = w[base + 7]      hard_penalty = w_hard if rating == 2 else 1.0     easy_bonus = w_easy if rating == 4 else 1.0      new_s_fail = (         w_fail_mult-        * d ** -w_fail_d_exp         * ((s + 1.0) ** w_fail_s_exp - 1.0)         * math.exp((1.0 - r) * w_fail_r_mult)     )@@ -201,43 +277,77 @@     )     new_s_success = max(pls, s * s_inc) -    return new_s_success if rating > 1 else pls+    result = new_s_success if rating > 1 else pls+    return clamp(result, STABILITY_MIN, STABILITY_MAX)  -def transition_function(w, delta_t):-    """1 for a fully long-term review, 0 for a same-instant (short-term) one."""-    return 1.0 - w[26] * math.exp(-w[25] * delta_t)+def next_state(w, state, delta_t, rating):+    """Both traces and the difficulty, after a review of an existing card. +    The slow trace updates from the mixed retrievability; the fast trace+    updates from its *own* recall component, and on a lapse is pulled down to+    at most `FAST_TRACE_RATIO` of the post-lapse slow stability.+    """+    delta_t = max(delta_t, 0.0)+    s, d, s_fast = state -def next_stability(w, s, d, delta_t, rating):-    r = forgetting_curve(w, delta_t, s)-    s_long = stability_after_review(w, s, d, r, rating, LONG_TERM_BASE)-    s_short = stability_after_review(w, s, d, r, rating, SHORT_TERM_BASE)-    coefficient = transition_function(w, delta_t)-    return coefficient * s_long + (1.0 - coefficient) * s_short+    r = forgetting_curve(w, delta_t, state)+    new_s_long = stability_after_review(w, s, d, r, rating, SLOW_TRACE_BASE) +    r_fast = fast_component_recall(w, delta_t, s_fast)+    new_s_short = stability_after_review(w, s_fast, d, r_fast, rating, FAST_TRACE_BASE)+    if rating == 1:+        new_s_short = min(new_s_short, FAST_TRACE_RATIO * new_s_long) +    new_d = next_difficulty(w, d, rating, r)+    return (new_s_long, new_d, new_s_short)++ # -------------------------------------------------------------------------- # The state transition # --------------------------------------------------------------------------  -def step(w, state, delta_t, rating, s_min=STABILITY_MIN):-    """`state` is None for the very first review, else an (S, D) pair."""+def initial_state(w, rating):+    """The state a card is born with, given its first rating."""+    s = clamp(w[rating - 1], STABILITY_MIN, STABILITY_MAX)+    d = clamp(initial_difficulty(w, rating), MIN_DIFFICULTY, MAX_DIFFICULTY)+    s_fast = clamp(FAST_TRACE_RATIO * s, STABILITY_MIN, STABILITY_MAX)+    return (s, d, s_fast)+++def step(w, state, delta_t, rating):+    """`state` is None for the very first review, else an (S, D, S_fast) triple."""     if state is None:-        new_s = w[rating - 1]-        new_d = clamp(initial_difficulty(w, rating), MIN_DIFFICULTY, MAX_DIFFICULTY)-    else:-        s, d = state-        new_s = next_stability(w, s, d, delta_t, rating)-        new_d = clamp(next_difficulty(w, d, rating), MIN_DIFFICULTY, MAX_DIFFICULTY)-    new_s = clamp(new_s, s_min, STABILITY_MAX)-    return (new_s, new_d)+        return initial_state(w, rating)+    s, d, s_fast = next_state(w, state, delta_t, rating)+    return (+        clamp(s, STABILITY_MIN, STABILITY_MAX),+        clamp(d, MIN_DIFFICULTY, MAX_DIFFICULTY),+        clamp(s_fast, STABILITY_MIN, STABILITY_MAX),+    )  -def replay(w, reviews, s_min=STABILITY_MIN):+def replay(w, reviews):     """Fold `step` over a list of (delta_t, rating) pairs."""     state = None     for delta_t, rating in reviews:-        state = step(w, state, delta_t, rating, s_min)+        state = step(w, state, delta_t, rating)     return state+++# --------------------------------------------------------------------------+# Parameter clipping+# --------------------------------------------------------------------------++# Pairs (i, j) for which w[i] <= w[j] must hold. The reference restores these+# *after* the per-parameter box clamps, by pulling the larger index up.+ORDERING_CONSTRAINTS = [(0, 1), (1, 2), (2, 3), (25, 26)]+++def clip_parameters(w):+    """The reference clipper: box clamps first, then monotonicity."""+    out = [clamp(v, lo, hi) for v, lo, hi in zip(w, LOWER_BOUNDS, UPPER_BOUNDS)]+    for lower, upper in ORDERING_CONSTRAINTS:+        out[upper] = max(out[upper], out[lower])+    return out

@@ -12,18 +12,22 @@  from fsrs7_reference import (  # noqa: E402     DEFAULT_PARAMETERS,+    FAST_TRACE_BASE,+    FAST_TRACE_RATIO,     LOWER_BOUNDS,+    SLOW_TRACE_BASE,+    STABILITY_MAX,+    STABILITY_MIN,     UPPER_BOUNDS,-    LONG_TERM_BASE,-    SHORT_TERM_BASE,     clamp,+    clip_parameters,+    fast_component_recall,     forgetting_curve,     initial_difficulty,     next_difficulty,     next_interval,     stability_after_review,     step,-    transition_function, )  OUT = os.path.join(@@ -53,6 +57,10 @@     return "[" + ", ".join(xs) + "]"  +def hs_triple(t):+    return "(" + ", ".join(hs(v) for v in t) + ")"++ # -------------------------------------------------------------------------- # Alternative parameter sets: a deterministic LCG walk over the valid box. # --------------------------------------------------------------------------@@ -65,12 +73,7 @@         state = (state * 6364136223846793005 + 1442695040888963407) % (2**64)         u = (state >> 11) / float(2**53)         w.append(lo + u * (hi - lo))-    # Restore the ordering constraints the clipper enforces.-    for i in (1, 2, 3):-        w[i] = max(w[i], w[i - 1])-    w[28] = max(w[28], w[27])-    w[30] = max(w[30], w[29])-    return [round(v, 6) for v in w]+    return [round(v, 6) for v in clip_parameters(w)]   PARAMETER_SETS = [@@ -80,18 +83,48 @@ ]  TIMES = [0.0, 1.0 / 86400.0, 1.0 / 1440.0, 10.0 / 1440.0, 0.25, 1.0, 3.0, 7.5, 30.0, 365.0, 3650.0]-STABILITIES = [0.0001, 0.01, 0.5, 1.0, 4.1283, 15.0, 100.0, 1000.0, 36500.0]-DIFFICULTIES = [1.0, 2.5, 4.194588083372719, 7.0, 10.0]-HALF_DIFFICULTIES = [1.0, 4.194588083372719, 10.0]-HALF_STABILITIES = [0.01, 1.0, 4.1283, 1000.0]-HALF_RETRIEVABILITIES = [0.05, 0.5, 1.0]-STEP_STABILITIES = [0.0001, 1.0, 4.1283, 1000.0, 36500.0]-STEP_DIFFICULTIES = [1.0, 4.194588083372719, 10.0]-STEP_DELTAS = [0.0, 10.0 / 1440.0, 0.5, 1.0, 45.0, 400.0]-DELTAS = [0.0, 1.0 / 1440.0, 10.0 / 1440.0, 0.5, 1.0, 6.0, 45.0, 400.0]-RETENTIONS = [0.7, 0.8, 0.85, 0.9, 0.95, 0.97, 0.99]+STABILITIES = [0.0001, 0.01, 0.5, 1.0, 3.9221, 15.0, 100.0, 1000.0, 36500.0]+DIFFICULTIES = [1.0, 2.5, 3.5307239812763354, 7.0, 10.0] RATINGS = [1, 2, 3, 4]+RETRIEVABILITIES = [0.05, 0.5, 0.95]+RETENTIONS = [0.7, 0.8, 0.85, 0.9, 0.95, 0.97, 0.99] +HALF_DIFFICULTIES = [1.0, 3.5307239812763354, 10.0]+HALF_STABILITIES = [0.01, 1.0, 3.9221, 1000.0]++FAST_STABILITIES = [0.0001, 0.01, 1.0, 3.9221, 100.0, 36500.0]+++def fast_of(s, ratio):+    return clamp(s * ratio, STABILITY_MIN, STABILITY_MAX)+++# States for the forgetting curve: the whole stability range at three+# difficulties with the natural fast/slow ratio, plus a block that moves the+# fast trace independently of the slow one.+CURVE_STATES = [+    (s, d, fast_of(s, FAST_TRACE_RATIO))+    for s in STABILITIES+    for d in (1.0, 5.0, 10.0)+] + [+    (s, d, fast_of(s, ratio))+    for s in (0.5, 3.9221, 100.0)+    for d in (2.5, 7.0)+    for ratio in (0.05, 1.0, 20.0)+]++INTERVAL_STATES = [+    (s, d, fast_of(s, FAST_TRACE_RATIO)) for s in STABILITIES for d in (1.0, 5.0, 10.0)+] + [(3.9221, 5.0, fast_of(3.9221, ratio)) for ratio in (0.05, 1.0, 20.0)]++STEP_STATES = [+    (s, d, fast_of(s, ratio))+    for s in (0.0001, 1.0, 3.9221, 1000.0, 36500.0)+    for d in (1.0, 3.5307239812763354, 10.0)+    for ratio in (FAST_TRACE_RATIO, 5.0)+]+STEP_DELTAS = [0.0, 10.0 / 1440.0, 0.5, 1.0, 45.0, 400.0]+ REVIEW_SEQUENCES = [     [(0.0, 3)],     [(0.0, 1)],@@ -99,6 +132,8 @@     [(0.0, 3), (10.0 / 1440.0, 3)],     [(0.0, 1), (1.0 / 1440.0, 3), (10.0 / 1440.0, 3), (1.0, 3)],     [(0.0, 3), (1.0, 3), (3.0, 3), (8.0, 3), (21.0, 3)],+    # The fixture the reference implementation's own test suite asserts on.+    [(0.0, 1), (0.0, 3), (1.0, 3), (3.0, 3), (8.0, 3), (21.0, 3)],     [(0.0, 2), (1.0, 2), (2.0, 2), (3.0, 2)],     [(0.0, 4), (15.0, 4), (90.0, 4), (365.0, 4)],     [(0.0, 3), (5.0, 1), (10.0 / 1440.0, 3), (1.0, 3), (4.0, 4)],@@ -124,18 +159,18 @@     add("-- | Golden vectors for the FSRS-7 implementation.")     add("--")     add("-- Generated by @reference\\/gen_golden.py@ from the pure-Python")-    add("-- transcription of the official benchmark model. Do not edit by hand;")+    add("-- transcription of the reference model. Do not edit by hand;")     add("-- regenerate with @python3 reference\\/gen_golden.py@.")     add("module Test.FSRS.GoldenData")     add("  ( goldenParameterSets")     add("  , CurveVector (..)")     add("  , goldenCurveVectors")+    add("  , FastRecallVector (..)")+    add("  , goldenFastRecallVectors")     add("  , DifficultyVector (..)")     add("  , goldenDifficultyVectors")     add("  , HalfStabilityVector (..)")     add("  , goldenHalfStabilityVectors")-    add("  , TransitionVector (..)")-    add("  , goldenTransitionVectors")     add("  , StepVector (..)")     add("  , goldenStepVectors")     add("  , IntervalVector (..)")@@ -155,11 +190,12 @@     add("")      # ---------------------------------------------------------------- curve-    add("-- | @R(t, s)@, the probability of recall.")+    add("-- | @R(t, state)@, the probability of recall. The state is spelled out")+    add("--   as a @(stability, difficulty, fast stability)@ triple.")     add("data CurveVector = CurveVector")     add("  { cvParams :: !Int")     add("  , cvElapsedDays :: !Double")-    add("  , cvStability :: !Double")+    add("  , cvState :: !(Double, Double, Double)")     add("  , cvRetrievability :: !Double")     add("  }")     add("  deriving stock (Eq, Show)")@@ -167,18 +203,43 @@     rows = []     for pi, w in enumerate(PARAMETER_SETS):         for t in TIMES:-            for s in STABILITIES:+            for st in CURVE_STATES:                 rows.append(-                    f"CurveVector {pi} {hs(t)} {hs(s)} {hs(forgetting_curve(w, t, s))}"+                    f"CurveVector {pi} {hs(t)} {hs_triple(st)} "+                    f"{hs(forgetting_curve(w, t, st))}"                 )     emit_list(add, "goldenCurveVectors", rows) +    # ----------------------------------------------------------- fast recall+    add("-- | The fast trace's own recall probability, which drives its own")+    add("--   stability update. This is the piece that replaced the draft's")+    add("--   long-\\/short-term transition function.")+    add("data FastRecallVector = FastRecallVector")+    add("  { frParams :: !Int")+    add("  , frElapsedDays :: !Double")+    add("  , frStabilityFast :: !Double")+    add("  , frRecall :: !Double")+    add("  }")+    add("  deriving stock (Eq, Show)")+    add("")+    rows = []+    for pi, w in enumerate(PARAMETER_SETS):+        for t in TIMES:+            for s in FAST_STABILITIES:+                rows.append(+                    f"FastRecallVector {pi} {hs(t)} {hs(s)} "+                    f"{hs(fast_component_recall(w, t, s))}"+                )+    emit_list(add, "goldenFastRecallVectors", rows)+     # ----------------------------------------------------------- difficulty-    add("-- | Initial and subsequent difficulty.")+    add("-- | Initial and subsequent difficulty. The retrievability only")+    add("--   matters on a lapse, where it weights the step.")     add("data DifficultyVector = DifficultyVector")     add("  { dvParams :: !Int")     add("  , dvDifficulty :: !(Maybe Double)")     add("    -- ^ 'Nothing' for the initial difficulty of a brand-new card.")+    add("  , dvRetrievability :: !Double")     add("  , dvRating :: !Int")     add("  , dvNextDifficulty :: !Double")     add("  }")@@ -188,21 +249,22 @@     for pi, w in enumerate(PARAMETER_SETS):         for g in RATINGS:             v = clamp(initial_difficulty(w, g), 1.0, 10.0)-            rows.append(f"DifficultyVector {pi} Nothing {g} {hs(v)}")+            rows.append(f"DifficultyVector {pi} Nothing 1.0 {g} {hs(v)}")         for d in DIFFICULTIES:-            for g in RATINGS:-                v = clamp(next_difficulty(w, d, g), 1.0, 10.0)-                rows.append(-                    f"DifficultyVector {pi} (Just {hs(d)}) {g} {hs(v)}"-                )+            for r in RETRIEVABILITIES:+                for g in RATINGS:+                    v = next_difficulty(w, d, g, r)+                    rows.append(+                        f"DifficultyVector {pi} (Just {hs(d)}) {hs(r)} {g} {hs(v)}"+                    )     emit_list(add, "goldenDifficultyVectors", rows)      # ------------------------------------------------------- half stability-    add("-- | One half of the stability update, before the two are blended.")+    add("-- | One trace's stability update, before the lapse cap is applied.")     add("data HalfStabilityVector = HalfStabilityVector")     add("  { hsParams :: !Int")-    add("  , hsLongTerm :: !Bool")-    add("    -- ^ 'True' for the long-term block, 'False' for the short-term one.")+    add("  , hsSlowTrace :: !Bool")+    add("    -- ^ 'True' for the slow trace's block, 'False' for the fast one's.")     add("  , hsStability :: !Double")     add("  , hsDifficulty :: !Double")     add("  , hsRetrievability :: !Double")@@ -215,59 +277,42 @@     for pi, w in enumerate(PARAMETER_SETS):         for s in HALF_STABILITIES:             for d in HALF_DIFFICULTIES:-                for r in HALF_RETRIEVABILITIES:+                for r in RETRIEVABILITIES:                     for g in RATINGS:-                        for long, base in ((True, LONG_TERM_BASE), (False, SHORT_TERM_BASE)):+                        for slow, base in ((True, SLOW_TRACE_BASE), (False, FAST_TRACE_BASE)):                             v = stability_after_review(w, s, d, r, g, base)                             rows.append(-                                f"HalfStabilityVector {pi} {long} {hs(s)} {hs(d)} "+                                f"HalfStabilityVector {pi} {slow} {hs(s)} {hs(d)} "                                 f"{hs(r)} {g} {hs(v)}"                             )     emit_list(add, "goldenHalfStabilityVectors", rows) -    # --------------------------------------------------------- transition-    add("-- | The long-\\/short-term blending coefficient.")-    add("data TransitionVector = TransitionVector")-    add("  { tvParams :: !Int")-    add("  , tvElapsedDays :: !Double")-    add("  , tvCoefficient :: !Double")-    add("  }")-    add("  deriving stock (Eq, Show)")-    add("")-    rows = []-    for pi, w in enumerate(PARAMETER_SETS):-        for t in TIMES:-            rows.append(-                f"TransitionVector {pi} {hs(t)} {hs(transition_function(w, t))}"-            )-    emit_list(add, "goldenTransitionVectors", rows)-     # --------------------------------------------------------------- step     add("-- | A full memory-state transition.")     add("data StepVector = StepVector")     add("  { svParams :: !Int")-    add("  , svState :: !(Maybe (Double, Double))")-    add("    -- ^ @(stability, difficulty)@; 'Nothing' for the first review.")+    add("  , svState :: !(Maybe (Double, Double, Double))")+    add("    -- ^ @(stability, difficulty, fast stability)@; 'Nothing' for the")+    add("    --   first review.")     add("  , svElapsedDays :: !Double")     add("  , svRating :: !Int")-    add("  , svNextState :: !(Double, Double)")+    add("  , svNextState :: !(Double, Double, Double)")     add("  }")     add("  deriving stock (Eq, Show)")     add("")     rows = []     for pi, w in enumerate(PARAMETER_SETS):         for g in RATINGS:-            s1, d1 = step(w, None, 0.0, g)-            rows.append(f"StepVector {pi} Nothing 0.0 {g} ({hs(s1)}, {hs(d1)})")-        for s in STEP_STABILITIES:-            for d in STEP_DIFFICULTIES:-                for dt in STEP_DELTAS:-                    for g in RATINGS:-                        s1, d1 = step(w, (s, d), dt, g)-                        rows.append(-                            f"StepVector {pi} (Just ({hs(s)}, {hs(d)})) {hs(dt)} {g} "-                            f"({hs(s1)}, {hs(d1)})"-                        )+            rows.append(+                f"StepVector {pi} Nothing 0.0 {g} {hs_triple(step(w, None, 0.0, g))}"+            )+        for st in STEP_STATES:+            for dt in STEP_DELTAS:+                for g in RATINGS:+                    rows.append(+                        f"StepVector {pi} (Just {hs_triple(st)}) {hs(dt)} {g} "+                        f"{hs_triple(step(w, st, dt, g))}"+                    )     emit_list(add, "goldenStepVectors", rows)      # ----------------------------------------------------------- intervals@@ -275,7 +320,7 @@     add("data IntervalVector = IntervalVector")     add("  { ivParams :: !Int")     add("  , ivDesiredRetention :: !Double")-    add("  , ivStability :: !Double")+    add("  , ivState :: !(Double, Double, Double)")     add("  , ivInterval :: !Double")     add("  }")     add("  deriving stock (Eq, Show)")@@ -283,9 +328,10 @@     rows = []     for pi, w in enumerate(PARAMETER_SETS):         for dr in RETENTIONS:-            for s in STABILITIES:+            for st in INTERVAL_STATES:                 rows.append(-                    f"IntervalVector {pi} {hs(dr)} {hs(s)} {hs(next_interval(w, dr, s))}"+                    f"IntervalVector {pi} {hs(dr)} {hs_triple(st)} "+                    f"{hs(next_interval(w, dr, st))}"                 )     emit_list(add, "goldenIntervalVectors", rows) @@ -295,7 +341,7 @@     add("  { rvParams :: !Int")     add("  , rvReviews :: ![(Double, Int)]")     add("    -- ^ @(days since the previous review, rating)@.")-    add("  , rvFinalState :: !(Double, Double)")+    add("  , rvFinalState :: !(Double, Double, Double)")     add("  }")     add("  deriving stock (Eq, Show)")     add("")@@ -307,9 +353,7 @@                 state = step(w, state, dt, g)             reviews = hs_list([f"({hs(dt)}, {g})" for dt, g in seq_])             assert state is not None-            rows.append(-                f"ReplayVector {pi} {reviews} ({hs(state[0])}, {hs(state[1])})"-            )+            rows.append(f"ReplayVector {pi} {reviews} {hs_triple(state)}")     emit_list(add, "goldenReplayVectors", rows)      return "\n".join(lines).rstrip() + "\n"

@@ -5,6 +5,11 @@ the model's structural invariants, not a second copy of the Haskell suite: enough to catch a transcription typo before it is baked into GoldenData.hs. +`test_upstream_*` are the two numeric assertions the reference implementation+makes about FSRS-7 in its own test suite. They are the only fixtures here that+did not come out of this file, so they are what pins the transcription to+upstream rather than to itself.+ No test framework needed. Run from the repository root:      python3 reference/test_reference.py@@ -19,22 +24,32 @@  from fsrs7_reference import (  # noqa: E402     DEFAULT_PARAMETERS,+    FAST_TRACE_RATIO,     LOWER_BOUNDS,     MAX_DIFFICULTY,     MIN_DIFFICULTY,+    ORDERING_CONSTRAINTS,+    RETENTION_FLOOR,     STABILITY_MAX,     STABILITY_MIN,     UPPER_BOUNDS,+    clamp,+    clip_parameters,+    fast_component_recall,     forgetting_curve,+    forgetting_curve_derivative,     initial_difficulty,+    initial_state,     next_difficulty,     next_interval,+    replay,+    stability_after_review,     step,-    transition_function, ) -ORDERING_CONSTRAINTS = [(0, 1), (1, 2), (2, 3), (27, 28), (29, 30)]+PARAM_LEN = 34 RATINGS = [1, 2, 3, 4]+RETENTION_CEILING = 1.0 - RETENTION_FLOOR   def parameter_sets(count, seed):@@ -42,27 +57,46 @@     rng = random.Random(seed)     yield DEFAULT_PARAMETERS     for _ in range(count):-        w = [rng.uniform(lo, hi) for lo, hi in zip(LOWER_BOUNDS, UPPER_BOUNDS)]-        for i, j in ORDERING_CONSTRAINTS:-            w[j] = max(w[j], w[i])-        yield w+        yield clip_parameters(+            [rng.uniform(lo, hi) for lo, hi in zip(LOWER_BOUNDS, UPPER_BOUNDS)]+        )   def sample_states(seed):+    """Random `(state, delta_t)` pairs, mostly at the model's own trace ratio."""     rng = random.Random(seed)     for _ in range(40):         s = math.exp(rng.uniform(math.log(STABILITY_MIN), math.log(STABILITY_MAX)))         d = rng.uniform(MIN_DIFFICULTY, MAX_DIFFICULTY)-        dt = 0.0 if rng.random() < 0.2 else math.exp(rng.uniform(math.log(1 / 86400), math.log(3650)))-        yield s, d, dt+        if rng.random() < 0.6:+            s_fast = clamp(s * FAST_TRACE_RATIO, STABILITY_MIN, STABILITY_MAX)+        else:+            s_fast = math.exp(rng.uniform(math.log(STABILITY_MIN), math.log(STABILITY_MAX)))+        dt = (+            0.0+            if rng.random() < 0.2+            else math.exp(rng.uniform(math.log(1 / 86400), math.log(3650)))+        )+        yield (s, d, s_fast), dt  +def natural_states(seed):+    """States at exactly the fast/slow ratio the model establishes."""+    rng = random.Random(seed)+    for _ in range(40):+        s = math.exp(+            rng.uniform(math.log(STABILITY_MIN / FAST_TRACE_RATIO), math.log(STABILITY_MAX))+        )+        d = rng.uniform(MIN_DIFFICULTY, MAX_DIFFICULTY)+        yield (s, d, s * FAST_TRACE_RATIO)++ # ---------------------------------------------------------------------------   def test_parameter_vector_is_well_formed():-    assert len(DEFAULT_PARAMETERS) == 35, len(DEFAULT_PARAMETERS)-    assert len(LOWER_BOUNDS) == 35 and len(UPPER_BOUNDS) == 35+    assert len(DEFAULT_PARAMETERS) == PARAM_LEN, len(DEFAULT_PARAMETERS)+    assert len(LOWER_BOUNDS) == PARAM_LEN and len(UPPER_BOUNDS) == PARAM_LEN     for i, (lo, hi) in enumerate(zip(LOWER_BOUNDS, UPPER_BOUNDS)):         assert lo <= hi, f"bound {i} is inverted: {lo} > {hi}"     for i, w in enumerate(DEFAULT_PARAMETERS):@@ -71,92 +105,202 @@         assert DEFAULT_PARAMETERS[i] <= DEFAULT_PARAMETERS[j], f"w{i} > w{j}"  -def test_nothing_is_forgotten_immediately():+def test_clipping_is_idempotent_and_lands_in_the_box():+    rng = random.Random(13)+    for _ in range(200):+        w = [rng.uniform(-1000, 1000) for _ in range(PARAM_LEN)]+        once = clip_parameters(w)+        assert clip_parameters(once) == once+        for i, (lo, hi) in enumerate(zip(LOWER_BOUNDS, UPPER_BOUNDS)):+            assert lo <= once[i] <= hi, (i, once[i])+        for i, j in ORDERING_CONSTRAINTS:+            assert once[i] <= once[j], (i, j)+++def test_retrievability_is_rescaled_away_from_one():+    # FSRS-7 squeezes R into [1e-5, 1 - 1e-5], so a card reviewed a moment ago+    # is *almost* certain rather than certain.     for w in parameter_sets(20, seed=1):-        for s in (STABILITY_MIN, 1.0, 37.0, STABILITY_MAX):-            assert forgetting_curve(w, 0.0, s) == 1.0+        for state, _ in sample_states(seed=2):+            assert abs(forgetting_curve(w, 0.0, state) - RETENTION_CEILING) < 1e-12   def test_retrievability_is_a_decreasing_probability():-    for w in parameter_sets(40, seed=2):-        for s, _, dt in sample_states(seed=3):-            r = forgetting_curve(w, dt, s)-            assert 0.0 < r <= 1.0, r-            assert forgetting_curve(w, dt + 1e-3, s) <= r+    for w in parameter_sets(40, seed=3):+        for state, dt in sample_states(seed=4):+            r = forgetting_curve(w, dt, state)+            assert RETENTION_FLOOR <= r <= RETENTION_CEILING, r+            assert forgetting_curve(w, dt + 1e-3, state) <= r  +def test_the_fast_component_is_a_bare_power_law():+    # Unlike the mixture, this one is not rescaled: it hits 1 exactly.+    for w in parameter_sets(20, seed=5):+        for s in (STABILITY_MIN, 0.01, 1.0, 37.0, STABILITY_MAX):+            assert fast_component_recall(w, 0.0, s) == 1.0+            previous = 1.0+            for dt in (1 / 86400, 0.01, 0.5, 1.0, 10.0, 3650.0):+                r = fast_component_recall(w, dt, s)+                assert 0.0 < r <= 1.0, r+                assert r <= previous+                previous = r+++def test_the_derivative_matches_a_finite_difference():+    for w in parameter_sets(20, seed=6):+        for state, _ in sample_states(seed=7):+            for t in (0.5, 5.0, 50.0):+                h = 1e-6 * t+                numeric = (+                    forgetting_curve(w, t + h, state) - forgetting_curve(w, t - h, state)+                ) / (2 * h)+                exact = forgetting_curve_derivative(w, t, state)+                assert exact <= 0.0, exact+                assert abs(numeric - exact) <= 1e-7 + 1e-5 * abs(exact), (numeric, exact)++ def test_base_weights_are_the_recall_probability_at_t_equals_s():-    # Give both power laws the same base and the mixture collapses to it.-    for base in (0.5, 0.85):+    # Give both power laws the same base and, at an average difficulty with the+    # two traces level, the mixture collapses to that base at t == s.+    for base in (0.5, 0.7, 0.85):         w = list(DEFAULT_PARAMETERS)-        w[29] = w[30] = base+        w[25] = w[26] = base         for s in (0.5, 1.0, 37.0, 1000.0):-            assert abs(forgetting_curve(w, s, s) - base) < 1e-12+            expected = base * (1.0 - 2.0 * RETENTION_FLOOR) + RETENTION_FLOOR+            assert abs(forgetting_curve(w, s, (s, 5.0, s)) - expected) < 1e-12   def test_intervals_land_on_the_desired_retention():-    for w in parameter_sets(20, seed=4):+    for w in parameter_sets(20, seed=8):         for dr in (0.7, 0.8, 0.9, 0.95, 0.99):-            for s in (0.01, 1.0, 37.0, 1000.0):-                t = next_interval(w, dr, s)+            for state, _ in sample_states(seed=9):+                t = next_interval(w, dr, state)                 if t <= 1 / 86400 or t >= 36500:                     continue  # saturated, cannot hit the target-                assert abs(forgetting_curve(w, t, s) - dr) < 1e-9+                assert abs(forgetting_curve(w, t, state) - dr) < 1e-9   def test_a_better_rating_is_never_worse_for_the_card():-    for w in parameter_sets(40, seed=5):-        for s, d, dt in sample_states(seed=6):-            outcomes = [step(w, (s, d), dt, g) for g in RATINGS]-            stabilities = [new_s for new_s, _ in outcomes]-            difficulties = [new_d for _, new_d in outcomes]+    for w in parameter_sets(40, seed=10):+        for state, dt in sample_states(seed=11):+            outcomes = [step(w, state, dt, g) for g in RATINGS]+            stabilities = [new_s for new_s, _, _ in outcomes]             assert stabilities == sorted(stabilities), stabilities-            assert difficulties == sorted(difficulties, reverse=True), difficulties  +def test_a_lapse_is_the_harshest_answer_when_it_was_surprising():+    # FSRS-7 weights a lapse's difficulty step by `r + 0.1`, so a lapse only+    # outweighs a Hard once the model expected the card to be recalled.+    for w in parameter_sets(20, seed=12):+        for d in (1.0, 3.0, 5.0, 7.5, 10.0):+            for r in (0.4, 0.7, 0.95):+                difficulties = [next_difficulty(w, d, g, r) for g in RATINGS]+                assert difficulties == sorted(difficulties, reverse=True), difficulties+            # ... and a gentler lapse really is gentler.+            assert next_difficulty(w, d, 1, 0.05) <= next_difficulty(w, d, 1, 0.95)++ def test_remembering_helps_and_forgetting_does_not():-    for w in parameter_sets(40, seed=7):-        for s, d, dt in sample_states(seed=8):+    for w in parameter_sets(40, seed=13):+        for state, dt in sample_states(seed=14):+            s = state[0]             for g in (2, 3, 4):-                assert step(w, (s, d), dt, g)[0] >= s * (1 - 1e-12)-            assert step(w, (s, d), dt, 1)[0] <= s * (1 + 1e-12)+                assert step(w, state, dt, g)[0] >= s * (1 - 1e-12)+            assert step(w, state, dt, 1)[0] <= s * (1 + 1e-12)  +def test_post_lapse_stability_ignores_difficulty():+    # The finished model ablated the d ** -fail_d_exp factor from both blocks.+    for w in parameter_sets(20, seed=15):+        for base in (7, 15):+            for s in (0.01, 1.0, 37.0, 1000.0):+                for r in (0.05, 0.5, 0.95):+                    values = {+                        stability_after_review(w, s, d, r, 1, base)+                        for d in (1.0, 3.0, 5.0, 7.0, 10.0)+                    }+                    assert len(values) == 1, values+++def test_a_lapse_pulls_the_fast_trace_under_the_slow_one():+    for w in parameter_sets(40, seed=16):+        for state, dt in sample_states(seed=17):+            new_s, _, new_s_short = step(w, state, dt, 1)+            # The cap is applied before the final clamp, so at the very bottom+            # of the range the floor wins.+            cap = max(STABILITY_MIN, FAST_TRACE_RATIO * new_s)+            assert new_s_short <= cap + 1e-12, (new_s_short, cap)++ def test_the_state_stays_in_range():-    for w in parameter_sets(40, seed=9):-        for s, d, dt in sample_states(seed=10):+    for w in parameter_sets(40, seed=18):+        for state, dt in sample_states(seed=19):             for g in RATINGS:-                new_s, new_d = step(w, (s, d), dt, g)+                new_s, new_d, new_s_short = step(w, state, dt, g)                 assert STABILITY_MIN <= new_s <= STABILITY_MAX, new_s+                assert STABILITY_MIN <= new_s_short <= STABILITY_MAX, new_s_short                 assert MIN_DIFFICULTY <= new_d <= MAX_DIFFICULTY, new_d-            first_s, first_d = step(w, None, 0.0, g)-            assert first_s == min(max(w[g - 1], STABILITY_MIN), STABILITY_MAX)+        for g in RATINGS:+            first_s, first_d, first_s_fast = initial_state(w, g)+            assert first_s == clamp(w[g - 1], STABILITY_MIN, STABILITY_MAX)+            assert first_s_fast == clamp(+                FAST_TRACE_RATIO * first_s, STABILITY_MIN, STABILITY_MAX+            )             assert MIN_DIFFICULTY <= first_d <= MAX_DIFFICULTY   def test_difficulty_reverts_towards_an_easy_first_review():     # A Good review leaves the rating delta at zero, so all that is left is the-    # 1% pull towards init_d(4). Iterating it therefore converges on exactly-    # that anchor, which pins down which rating the anchor is taken from.-    for w in parameter_sets(10, seed=12):-        anchor = min(max(initial_difficulty(w, 4), MIN_DIFFICULTY), MAX_DIFFICULTY)-        for start in (MIN_DIFFICULTY, 5.0, MAX_DIFFICULTY):-            d = start-            for _ in range(3000):-                d = min(max(next_difficulty(w, d, 3), MIN_DIFFICULTY), MAX_DIFFICULTY)-            assert abs(d - anchor) < 1e-9, (d, anchor)+    # 1% pull towards the *unclamped* init_d(4). That is what pins down which+    # rating the anchor is taken from — with the default weights the anchor sits+    # below the difficulty floor, so the iterate itself only reaches the floor.+    for w in parameter_sets(10, seed=20):+        anchor = initial_difficulty(w, 4)+        for d in (1.0, 2.5, 5.0, 7.5, 10.0):+            expected = clamp(0.01 * anchor + 0.99 * d, MIN_DIFFICULTY, MAX_DIFFICULTY)+            assert abs(next_difficulty(w, d, 3, 0.9) - expected) < 1e-12+        limit = 5.0+        for _ in range(5000):+            limit = next_difficulty(w, limit, 3, 0.9)+        assert abs(limit - clamp(anchor, MIN_DIFFICULTY, MAX_DIFFICULTY)) < 1e-9, limit  -def test_the_transition_function_is_a_weight():-    for w in parameter_sets(40, seed=11):-        assert transition_function(w, 0.0) == 1 - w[26]-        assert transition_function(w, 3650.0) == 1.0-        previous = -1.0-        for dt in (0.0, 1 / 86400, 0.01, 0.5, 1.0, 10.0, 3650.0):-            c = transition_function(w, dt)-            assert 0.0 <= c <= 1.0, c-            assert c >= previous-            previous = c+def test_difficulty_never_helps_recall_at_the_natural_trace_ratio():+    # Difficulty pulls two ways: it speeds the slow component up, but also+    # shifts mixture weight onto the fast one. At the ratio the model maintains+    # the first wins; for an arbitrarily lopsided pair of traces neither does.+    w = DEFAULT_PARAMETERS+    for s, _, s_fast in natural_states(seed=21):+        for dt in (0.001, 0.5, 7.0, 365.0):+            previous = None+            for d in range(1, 11):+                r = forgetting_curve(w, dt, (s, float(d), s_fast))+                if previous is not None:+                    assert r <= previous + 1e-15, (s, dt, d, previous, r)+                previous = r+++# --------------------------------------------------------------------------+# Fixtures taken from the reference implementation's own test suite:+# src/inference.rs of https://github.com/open-spaced-repetition/fsrs-rs/pull/426+# Upstream computes in single precision, hence the loose tolerances.+# --------------------------------------------------------------------------+++def test_upstream_memory_state_fsrs7():+    history = [(0.0, 1), (0.0, 3), (1.0, 3), (3.0, 3), (8.0, 3), (21.0, 3)]+    s, d, _ = replay(DEFAULT_PARAMETERS, history)+    assert abs(s - 25.985723) < 1e-4, s+    assert abs(d - 5.877549) < 1e-4, d+++def test_upstream_next_interval_fsrs7():+    state = (1.0, 5.0, 1.0)+    intervals = [+        max(1, round(next_interval(DEFAULT_PARAMETERS, i / 10.0, state)))+        for i in range(1, 11)+    ]+    assert intervals == [36500, 36500, 36500, 12813, 843, 92, 13, 2, 1, 1], intervals   # ---------------------------------------------------------------------------

@@ -1,10 +1,13 @@ -- | FSRS-7 — the Free Spaced Repetition Scheduler, version 7. -- -- FSRS predicts when you are about to forget something and schedules the--- review for just before that happens. It models a card with two numbers:+-- review for just before that happens. It models a card with three numbers: ----- * /stability/, the memory's half-life in days, and+-- * /stability/, the memory's half-life in days, -- * /difficulty/, how hard this particular card is for you, on a 1–10 scale,+--   and+-- * a second, faster-decaying /stability/ — FSRS-7 tracks two memory traces,+--   which is how it tells a review minutes later apart from one weeks later, -- -- from which it derives /retrievability/, the probability that you can recall -- the card right now.@@ -20,7 +23,7 @@ --     second = 'nextMemoryState' p ('Just' first) 7 'Good' -- -- -- When should it come back, if we want a 90% chance of recall?--- 'nextIntervalDays' p 0.9 ('memoryStability' second)+-- 'nextIntervalDays' p 0.9 second -- @ -- -- For whole-card scheduling — learning steps, due dates, lapses — use@@ -31,7 +34,7 @@ -- @ -- -- The modules underneath are "FSRS.Types" (ratings and memory states),--- "FSRS.Parameters" (the 35 weights), "FSRS.Algorithm" (the model itself) and+-- "FSRS.Parameters" (the 34 weights), "FSRS.Algorithm" (the model itself) and -- "FSRS.Scheduler". module FSRS   ( module FSRS.Types

@@ -2,26 +2,34 @@  -- | The FSRS-7 memory model. ----- This module is a direct transcription of the reference implementation in--- <https://github.com/open-spaced-repetition/srs-benchmark srs-benchmark>--- (@models\/fsrs_v7.py@ and @models\/fsrs_v7_interval_penalty.py@). Every--- function here is pure and total.+-- This module is a direct transcription of the finished FSRS-7, whose+-- reference implementation is the Rust model its author signed off on:+-- <https://github.com/Expertium/fsrs-rs-speed-autoresearch> (see+-- @fsrs-rs\/src\/model.rs@), upstreamed in+-- <https://github.com/open-spaced-repetition/fsrs-rs/pull/426 fsrs-rs#426>.+-- Every function here is pure and total. -- -- What changed in FSRS-7 relative to FSRS-6: ----- * The forgetting curve is a stability-weighted mixture of /two/ power laws---   instead of one, which is why it has eight weights and no closed-form---   inverse (see 'nextIntervalDays').--- * The stability update is computed twice — once with a long-term weight---   block and once with a short-term one — and the two are blended by---   'transitionCoefficient', a smooth function of the elapsed time. FSRS-6---   switched between two separate formulas on a same-day\/not-same-day flag.+-- * A card carries /two/ memory traces instead of one — see t'MemoryState'.+--   The forgetting curve is a mixture of a fast and a slow component, one per+--   trace, and each trace is updated by its own block of weights. This is what+--   makes same-day reviews behave differently from spaced ones; FSRS-6+--   switched between two formulas on a same-day\/not-same-day flag.+-- * The forgetting curve depends on /difficulty/, which it never did before:+--   a hard card experiences time faster, and counts the slow trace for more.+-- * Post-lapse stability no longer depends on difficulty.+-- * A lapse's difficulty step is weighted by how surprising the lapse was —+--   see 'nextDifficulty'.+-- * Retrievability is squeezed into @[1e-5, 1 - 1e-5]@, so a card reviewed a+--   moment ago has a retrievability just short of @1@. -- * Intervals are genuinely continuous. Ten minutes is @10 \/ 1440@ days and --   the model is meant to be evaluated at such values, not at whole days. module FSRS.Algorithm   ( -- * Forgetting curve     retrievability   , retrievabilityDerivative+  , fastTraceRetrievability   , nextIntervalDays      -- * Difficulty@@ -31,10 +39,10 @@     -- * Stability   , initialStability   , stabilityAfterReview-  , transitionCoefficient   , nextStability      -- * State transition+  , initialMemoryState   , nextMemoryState   , replayReviews @@ -45,6 +53,8 @@   , difficultyMax   , minimumIntervalDays   , maximumIntervalDays+  , retrievabilityFloor+  , fastTraceRatio   ) where  import FSRS.Parameters@@ -53,13 +63,11 @@   , StabilityWeights (..)   , curveWeights   , difficultyDelta+  , fastTraceWeights   , initialDifficultyBase   , initialDifficultyRate   , initialStabilityWeight-  , longTermWeights-  , shortTermWeights-  , transitionAmplitude-  , transitionRate+  , slowTraceWeights   ) import FSRS.Types   ( Days@@ -72,8 +80,7 @@   )  -- | The smallest stability the model will report, @1e-4@ days (about nine--- seconds). This is the @s_min@ the upstream configuration uses for FSRS-7,--- which is always run with second-precision intervals.+-- seconds). FSRS-7 is always run with second-precision intervals. stabilityMin :: Stability stabilityMin = 1.0e-4 @@ -98,73 +105,173 @@ maximumIntervalDays :: Days maximumIntervalDays = 36500.0 +-- | @1e-5@. 'retrievability' is rescaled into+-- @['retrievabilityFloor', 1 - 'retrievabilityFloor']@ so that neither it nor+-- its logarithm can saturate.+retrievabilityFloor :: Retrievability+retrievabilityFloor = 1.0e-5++-- | @0.8@. The fast trace starts at this fraction of the slow one, and after a+-- lapse is pulled back down to at most this fraction of it.+fastTraceRatio :: Double+fastTraceRatio = 0.8++-- | The magnitude of either decay is held inside @[0.01, 0.95]@.+decayMin, decayMax :: Double+decayMin = 0.01+decayMax = 0.95++-- | The exponent that builds the fast component's shape factor is capped here,+-- in log space, so that both the value and its gradient stay finite.+logFactorCap :: Double+logFactorCap = 60.0+ clampTo :: Double -> Double -> Double -> Double clampTo lo hi x = min hi (max lo x) +clampStability :: Stability -> Stability+clampStability = clampTo stabilityMin stabilityMax++clampDifficulty :: Difficulty -> Difficulty+clampDifficulty = clampTo difficultyMin difficultyMax+ -- --------------------------------------------------------------------------- -- Forgetting curve -- --------------------------------------------------------------------------- --- | The probability of recalling a card @t@ days after the last review, given--- its stability.------ FSRS-7 mixes two power laws whose relative weight depends on the stability--- itself, so — unlike every earlier version — the retrievability at @t == s@--- is not a fixed @0.9@ but drifts with @s@.+-- | The pieces of the two-component mixture, shared by 'retrievability' and+-- 'retrievabilityDerivative' so that the two cannot drift apart. ----- @t@ must be non-negative and @s@ strictly positive.-retrievability :: Parameters -> Days -> Stability -> Retrievability-retrievability params t s = (weight1 * r1 + weight2 * r2) / (weight1 + weight2)+-- Each component is @inner ** decay@ where @inner = 1 + rate * t@, which makes+-- both the value and its slope one-liners.+data CurveParts = CurveParts+  { cpDecay1 :: !Double+  , cpRate1 :: !Double+  , cpInner1 :: !Double+  , cpDecay2 :: !Double+  , cpRate2 :: !Double+  , cpInner2 :: !Double+  , cpWeight1 :: !Double+  , cpWeight2 :: !Double+  }++curveParts :: Parameters -> Days -> MemoryState -> CurveParts+curveParts params t0 state =+  CurveParts+    { cpDecay1 = decay1+    , cpRate1 = rate1+    , cpInner1 = 1 + rate1 * t+    , cpDecay2 = decay2+    , cpRate2 = rate2+    , cpInner2 = 1 + rate2 * t+    , cpWeight1 = cwWeight1 cw * sFast ** negate (cwStabilityPower1 cw)+    , cpWeight2 =+        cwWeight2 cw+          * s ** cwStabilityPower2 cw+          * exp ((d - 5) * (cwDifficultyWeight cw - 0.5))+    }   where     cw = curveWeights params-    tOverS = t / s-    powerLaw base decay = (1 + factor * tOverS) ** decay-      where-        factor = base ** (1 / decay) - 1-    r1 = powerLaw (cwBase1 cw) (cwDecay1 cw)-    r2 = powerLaw (cwBase2 cw) (cwDecay2 cw)-    weight1 = cwWeight1 cw * s ** negate (cwStabilityPower1 cw)-    weight2 = cwWeight2 cw * s ** cwStabilityPower2 cw+    t = max 0 t0+    s = clampStability (memoryStability state)+    d = clampDifficulty (memoryDifficulty state)+    sFast = clampStability (memoryStabilityFast state) +    -- Fast component: the decay is scaled by the fast stability itself.+    decay1 = fastDecay cw sFast+    rate1 = shapeFactor1 cw decay1 / sFast++    -- Slow component: difficulty rescales *time* rather than the decay, so a+    -- hard card experiences time faster but decays with the same slope.+    decay2 = negate (clampTo decayMin decayMax (cwDecay2 cw))+    factor2 = cwBase2 cw ** (1 / decay2) - 1+    timescale = exp ((d - 5) * (cwDifficultyDecay cw - 0.3))+    rate2 = factor2 * timescale / s++fastDecay :: CurveWeights -> Stability -> Double+fastDecay cw sFast =+  negate . clampTo decayMin decayMax $+    cwDecayBase1 cw * sFast ** (cwStabilityDecay1 cw - 0.3)++-- | @base1 ** (1 \/ decay1) - 1@, built in log space and capped so that a+-- decay near zero cannot overflow it.+shapeFactor1 :: CurveWeights -> Double -> Double+shapeFactor1 cw decay1 = exp (min logFactorCap (log (cwBase1 cw) / decay1)) - 1++-- | Rescale a raw mixture value into+-- @['retrievabilityFloor', 1 - 'retrievabilityFloor']@.+rescale :: Double -> Double+rescale x = x * (1 - 2 * retrievabilityFloor) + retrievabilityFloor++-- | The probability of recalling a card @t@ days after the last review.+--+-- FSRS-7 mixes a fast-trace and a slow-trace power law, so this needs the+-- whole memory state — both stabilities /and/ the difficulty. The weight of+-- each component depends on its own stability, so — unlike every earlier+-- version — the retrievability at @t == s@ is not a fixed @0.9@.+--+-- @t@ is treated as @0@ if negative; the state is clamped into range, so any+-- finite state is safe.+retrievability :: Parameters -> Days -> MemoryState -> Retrievability+retrievability params t state = rescale ((w1 * r1 + w2 * r2) / (w1 + w2))+  where+    cp = curveParts params t state+    r1 = cpInner1 cp ** cpDecay1 cp+    r2 = cpInner2 cp ** cpDecay2 cp+    w1 = cpWeight1 cp+    w2 = cpWeight2 cp+ -- | @d\/dt@ of 'retrievability'. Never positive for in-bounds parameters.-retrievabilityDerivative :: Parameters -> Days -> Stability -> Double-retrievabilityDerivative params t s =-  (weight1 * d1 + weight2 * d2) / (weight1 + weight2)+retrievabilityDerivative :: Parameters -> Days -> MemoryState -> Double+retrievabilityDerivative params t state =+  (w1 * d1 + w2 * d2) / (w1 + w2) * (1 - 2 * retrievabilityFloor)   where+    cp = curveParts params t state+    d1 = cpDecay1 cp * cpInner1 cp ** (cpDecay1 cp - 1) * cpRate1 cp+    d2 = cpDecay2 cp * cpInner2 cp ** (cpDecay2 cp - 1) * cpRate2 cp+    w1 = cpWeight1 cp+    w2 = cpWeight2 cp++-- | The fast trace's /own/ recall probability — the mixture's fast component+-- on its own, unrescaled and with no contribution from the slow trace.+--+-- This is what drives the fast trace's stability update in 'nextStability':+-- the fast trace responds to how well /it/ was doing, not to the mixture.+fastTraceRetrievability :: Parameters -> Days -> Stability -> Retrievability+fastTraceRetrievability params t0 sFast0 = (1 + rate * t) ** decay+  where     cw = curveWeights params-    tOverS = t / s-    slope base decay = decay * inner ** (decay - 1) * (factor / s)-      where-        factor = base ** (1 / decay) - 1-        inner = 1 + factor * tOverS-    d1 = slope (cwBase1 cw) (cwDecay1 cw)-    d2 = slope (cwBase2 cw) (cwDecay2 cw)-    weight1 = cwWeight1 cw * s ** negate (cwStabilityPower1 cw)-    weight2 = cwWeight2 cw * s ** cwStabilityPower2 cw+    t = max 0 t0+    sFast = clampStability sFast0+    decay = fastDecay cw sFast+    rate = shapeFactor1 cw decay / sFast --- | The interval, in days, after which a card of the given stability will have+-- | The interval, in days, after which a card in the given state will have -- decayed to exactly the desired retention. -- -- The FSRS-7 forgetting curve has no closed-form inverse, so this is a -- root-find: Newton's method in @log t@ (which is what makes the problem--- well-conditioned — see the upstream @fsrs_v7_interval_penalty@ module),--- safeguarded by a bracketing bisection so that it cannot diverge.+-- well-conditioned), safeguarded by a bracketing bisection so that it cannot+-- diverge. -- -- The result is always within @['minimumIntervalDays', 'maximumIntervalDays']@; -- a desired retention that is unreachable within that window saturates at the--- nearer end.-nextIntervalDays :: Parameters -> Retrievability -> Stability -> Days-nextIntervalDays params target s+-- nearer end. Since retrievability tops out just below @1@, a target of @1@+-- saturates rather than diverging.+nextIntervalDays :: Parameters -> Retrievability -> MemoryState -> Days+nextIntervalDays params target state   | not (target > 0) = maximumIntervalDays -- also catches NaN   | target >= 1 = minimumIntervalDays-  | retrievability params lo s <= target = lo-  | retrievability params hi s >= target = hi+  | curve lo <= target = lo+  | curve hi >= target = hi   | otherwise = exp (search (0 :: Int) (log lo) (log hi) u0)   where+    curve t = retrievability params t state     lo = minimumIntervalDays     hi = maximumIntervalDays-    -- R(s, s) is near the interesting range, so start there.-    u0 = clampTo (log lo) (log hi) (log s)+    -- R around the slow stability is near the interesting range, so start+    -- there.+    u0 = clampTo (log lo) (log hi) (log (clampStability (memoryStability state)))      maxIterations = 200 :: Int     -- Full double precision in log space.@@ -177,11 +284,11 @@       | otherwise = search (n + 1) a' b' next       where         t = exp u-        fu = retrievability params t s - target+        fu = curve t - target         -- R is strictly decreasing in t, so the sign of `fu` says which side         -- of the root `u` is on.         (a', b') = if fu > 0 then (u, b) else (a, u)-        slope = retrievabilityDerivative params t s * t+        slope = retrievabilityDerivative params t state * t         newton = u - fu / slope         next           | isNaN newton || isInfinite newton || newton <= a' || newton >= b' =@@ -204,17 +311,27 @@  -- | The difficulty a card is born with, given the rating of its first review. initialDifficulty :: Parameters -> Rating -> Difficulty-initialDifficulty params =-  clampTo difficultyMin difficultyMax . rawInitialDifficulty params+initialDifficulty params = clampDifficulty . rawInitialDifficulty params  -- | Difficulty after a review: a rating-driven step, damped so that it slows -- down as difficulty approaches its maximum, then reverted 1% of the way -- towards the difficulty an 'Easy' first review would have produced.-nextDifficulty :: Parameters -> Difficulty -> Rating -> Difficulty-nextDifficulty params d rating =-  clampTo difficultyMin difficultyMax (meanReversion damped)+--+-- A lapse's step is weighted by how surprising the lapse was, which is why+-- this takes the retrievability at review time: forgetting a card the model+-- expected you to recall says more about the card than forgetting one that was+-- long overdue.+nextDifficulty+  :: Parameters+  -> Difficulty+  -> Retrievability+  -- ^ The retrievability at review time, from 'retrievability'.+  -> Rating+  -> Difficulty+nextDifficulty params d r rating = clampDifficulty (meanReversion damped)   where-    delta = negate (difficultyDelta params) * fromIntegral (ratingToInt rating - 3)+    step = negate (difficultyDelta params) * fromIntegral (ratingToInt rating - 3)+    delta = if rating == Again then step * (r + 0.1) else step     damped = d + delta * (10 - d) / 9     meanReversion current = 0.01 * rawInitialDifficulty params Easy + 0.99 * current @@ -226,31 +343,33 @@ initialStability :: Parameters -> Rating -> Stability initialStability = initialStabilityWeight --- | One half of the stability update.+-- | One trace's stability update. ----- Called twice per review — once with 'FSRS.Parameters.longTermWeights' and--- once with 'FSRS.Parameters.shortTermWeights' — and the two results are--- blended by 'nextStability'.+-- Called twice per review — once with 'FSRS.Parameters.slowTraceWeights' and+-- once with 'FSRS.Parameters.fastTraceWeights' — on that trace's own stability+-- and its own retrievability. -- -- On a lapse the new stability is the post-lapse stability, which can never--- exceed the old one. On a success it is the old stability scaled by a factor--- that grows with how overdue the card was, shrinks as the card gets easier--- and more stable, and is scaled again by the hard penalty or the easy bonus.+-- exceed the old one and, in the finished FSRS-7, does not depend on+-- difficulty. On a success it is the old stability scaled by a factor that+-- grows with how overdue the card was, shrinks as the card gets easier and+-- more stable, and is scaled again by the hard penalty or the easy bonus. stabilityAfterReview   :: StabilityWeights-  -> MemoryState+  -> Stability+  -- ^ The stability of the trace being updated.+  -> Difficulty   -> Retrievability-  -- ^ The retrievability at review time, from 'retrievability'.+  -- ^ That trace's retrievability at review time.   -> Rating   -> Stability-stabilityAfterReview w (MemoryState s d) r rating-  | rating == Again = postLapse-  | otherwise = max postLapse (s * increase)+stabilityAfterReview w s d r rating+  | rating == Again = clampStability postLapse+  | otherwise = clampStability (max postLapse (s * increase))   where     postLapse = min s failureStability     failureStability =       swFailureFactor w-        * d ** negate (swFailureDifficultyExponent w)         * ((s + 1) ** swFailureStabilityExponent w - 1)         * exp ((1 - r) * swFailureRetrievabilityFactor w)     hardPenalty = if rating == Hard then swHardPenalty w else 1@@ -264,40 +383,76 @@           * hardPenalty           * easyBonus --- | How much of a long-term review this is: @0@ for a review that happens at--- the same instant as the previous one, tending to @1@ as the gap grows.+-- | Both stabilities after a review, as @(slow, fast)@. ----- This is the piece that replaces FSRS-6's hard same-day\/not-same-day split.--- The elapsed time is expected to be non-negative.-transitionCoefficient :: Parameters -> Days -> Double-transitionCoefficient params deltaT =-  1 - transitionAmplitude params * exp (negate (transitionRate params) * deltaT)---- | Stability after a review, blending the long- and short-term updates.+-- The slow trace is updated from the mixed 'retrievability'; the fast trace+-- from its own 'fastTraceRetrievability'. On a lapse the fast trace is pulled+-- down to at most 'fastTraceRatio' of the post-lapse slow stability, so that+-- forgetting a card cannot leave it with a large short-term boost. nextStability   :: Parameters   -> MemoryState   -> Days   -- ^ Days since the previous review.   -> Rating-  -> Stability-nextStability params state deltaT rating =-  coefficient * longTerm + (1 - coefficient) * shortTerm+  -> (Stability, Stability)+nextStability params state deltaT rating = (slow, fast)   where-    r = retrievability params deltaT (memoryStability state)-    longTerm = stabilityAfterReview (longTermWeights params) state r rating-    shortTerm = stabilityAfterReview (shortTermWeights params) state r rating-    coefficient = transitionCoefficient params deltaT+    (slow, fast, _) = advance params state deltaT rating +-- | The whole update in one pass: both stabilities and the mixed+-- retrievability that the difficulty step also needs, so that the forgetting+-- curve is evaluated exactly once per review.+advance+  :: Parameters+  -> MemoryState+  -> Days+  -> Rating+  -> (Stability, Stability, Retrievability)+advance params state deltaT rating = (slow, fast, r)+  where+    t = max 0 deltaT+    d = clampDifficulty (memoryDifficulty state)+    r = retrievability params t state+    slow =+      stabilityAfterReview+        (slowTraceWeights params)+        (clampStability (memoryStability state))+        d+        r+        rating+    rFast = fastTraceRetrievability params t (memoryStabilityFast state)+    raw =+      stabilityAfterReview+        (fastTraceWeights params)+        (clampStability (memoryStabilityFast state))+        d+        rFast+        rating+    fast+      | rating == Again = min raw (fastTraceRatio * slow)+      | otherwise = raw+ -- --------------------------------------------------------------------------- -- State transition -- --------------------------------------------------------------------------- +-- | The state a card is born with, given the rating of its first review. The+-- fast trace starts at 'fastTraceRatio' of the slow one.+initialMemoryState :: Parameters -> Rating -> MemoryState+initialMemoryState params rating =+  MemoryState+    { memoryStability = clampStability s+    , memoryDifficulty = initialDifficulty params rating+    , memoryStabilityFast = clampStability (fastTraceRatio * s)+    }+  where+    s = initialStability params rating+ -- | Advance a card's memory state by one review. -- -- Pass 'Nothing' for a card that has never been reviewed; the elapsed time is--- then ignored and the state is read straight off the initial-stability and--- initial-difficulty weights.+-- then ignored and the state comes from 'initialMemoryState'. nextMemoryState   :: Parameters   -> Maybe MemoryState@@ -306,21 +461,17 @@   -- ^ Days since the previous review.   -> Rating   -> MemoryState-nextMemoryState params before deltaT rating =-  MemoryState-    { memoryStability = clampTo stabilityMin stabilityMax s-    , memoryDifficulty = clampTo difficultyMin difficultyMax d-    }-  where-    (s, d) = case before of-      Nothing ->-        ( initialStability params rating-        , initialDifficulty params rating-        )-      Just state ->-        ( nextStability params state deltaT rating-        , nextDifficulty params (memoryDifficulty state) rating-        )+nextMemoryState params before deltaT rating = case before of+  Nothing -> initialMemoryState params rating+  Just state ->+    MemoryState+      { memoryStability = clampStability slow+      , memoryDifficulty =+          nextDifficulty params (clampDifficulty (memoryDifficulty state)) r rating+      , memoryStabilityFast = clampStability fast+      }+    where+      (slow, fast, r) = advance params state deltaT rating  -- | Fold a whole review history into a memory state. --

@@ -1,6 +1,6 @@ {-# LANGUAGE DerivingStrategies #-} --- | The 35 weights of FSRS-7, and typed views onto the blocks they form.+-- | The 34 weights of FSRS-7, and typed views onto the blocks they form. -- -- FSRS-7 groups its weights like this: --@@ -9,17 +9,17 @@ -- +-----------+------------------------------------------------------------+ -- | @w4..w6@  | difficulty                                                 | -- +-----------+------------------------------------------------------------+--- | @w7..w15@ | stability update, long-term block                          |+-- | @w7..w14@ | stability update, slow trace                               | -- +-----------+------------------------------------------------------------+--- | @w16..w24@| stability update, short-term (same-day) block              |+-- | @w15..w22@| stability update, fast trace                               | -- +-----------+------------------------------------------------------------+--- | @w25,w26@ | the long-\/short-term transition function                   |+-- | @w23..w30@| the two-component forgetting curve                         | -- +-----------+------------------------------------------------------------+--- | @w27..w34@| the two-component forgetting curve                         |+-- | @w31..w33@| how difficulty and stability modulate that curve           | -- +-----------+------------------------------------------------------------+ -- -- The two stability blocks have identical shapes, which is why--- 'longTermWeights' and 'shortTermWeights' both produce a t'StabilityWeights'.+-- 'slowTraceWeights' and 'fastTraceWeights' both produce a t'StabilityWeights'. module FSRS.Parameters   ( -- * Parameters     Parameters@@ -33,6 +33,7 @@     -- * Validation   , ParameterError (..)   , parameterBounds+  , orderingConstraints   , validateParameters      -- * Weight blocks@@ -40,17 +41,14 @@   , initialDifficultyBase   , initialDifficultyRate   , difficultyDelta-  , transitionRate-  , transitionAmplitude   , StabilityWeights (..)-  , longTermWeights-  , shortTermWeights+  , slowTraceWeights+  , fastTraceWeights   , CurveWeights (..)   , curveWeights   ) where  import Data.Array.Unboxed (UArray, bounds, elems, listArray, (!))-import Data.Maybe (mapMaybe)  import FSRS.Types (Rating, ratingToInt) @@ -66,10 +64,11 @@     showParen (d > 10) $       showString "mkParameters " . showsPrec 11 (parametersToList p) --- | @35@. FSRS-6 had 21 weights; FSRS-7 adds a second stability block, the--- transition function and the six extra forgetting-curve weights.+-- | @34@. FSRS-6 had 21 weights. FSRS-7 keeps two stability blocks of eight+-- weights each — one per memory trace — and spends eleven on a forgetting+-- curve that mixes the two traces and is modulated by difficulty. parameterCount :: Int-parameterCount = 35+parameterCount = 34  -- | The 0-based weight at the given index. Indices outside -- @[0, 'parameterCount')@ are a programmer error and raise an exception.@@ -89,57 +88,52 @@ -- | The default FSRS-7 parameters, obtained by the upstream authors through -- multi-user optimisation. ----- These match @models\/fsrs_v7.py@ in--- <https://github.com/open-spaced-repetition/srs-benchmark srs-benchmark>.--- Note that the @Default Parameters@ section of that repository's README still--- lists @1.15@ for @w15@ and @w24@; that block of the README has not been--- updated since 2026-03-18, while the model was changed to @1.3@ three days--- later. The values below follow the model.+-- These are the @DEFAULT_PARAMETERS@ of the finished FSRS-7 reference+-- implementation, <https://github.com/Expertium/fsrs-rs-speed-autoresearch>. defaultParameters :: Parameters defaultParameters = Parameters (listArray (0, parameterCount - 1) ws)   where     ws =       [ -- Initial stability, indexed by rating - 1-        0.041-      , 2.4175-      , 4.1283-      , 11.9709+        0.1104+      , 2.2395+      , 3.9221+      , 11.7841       , -- Difficulty-        5.6385-      , 0.4468-      , 3.262-      , -- Stability, long-term block-        2.3054-      , 0.1688-      , 1.3325-      , 0.3524-      , 0.0049-      , 0.7503-      , 0.0896-      , 0.6625-      , 1.3-      , -- Stability, short-term block-        0.882-      , 0.3072-      , 3.5875-      , 0.303-      , 0.0107-      , 0.2279-      , 2.6413-      , 0.5594-      , 1.3-      , -- Long-/short-term transition function-        2.5+        6.1686+      , 0.6457+      , 3.6807+      , -- Stability, slow trace+        1.9795+      , 0.0+      , 1.3826+      , 0.7024+      , 0.5999+      , 0.8146+      , 0.6398       , 1.0+      , -- Stability, fast trace+        1.3207+      , 0.6707+      , 3.8668+      , 0.4416+      , 0.0934+      , 1.8631+      , 0.6162+      , 1.0869       , -- Forgetting curve-        0.0723-      , 0.1634-      , 0.5-      , 0.9555-      , 0.2245-      , 0.6232-      , 0.1362-      , 0.3862+        0.1567+      , 0.0801+      , 0.2421+      , 0.9464+      , 0.1433+      , 0.7145+      , 0.0+      , 0.5667+      , -- Modulation of the curve by difficulty and stability+        0.3734+      , 0.5333+      , 0.3048       ]  -- | Why a list of weights is not a valid parameter vector.@@ -170,43 +164,44 @@     (1.0, 10.0)   , (0.001, 4.0)   , (0.1, 4.0)-  , -- Stability, long-term block+  , -- Stability, slow trace     (0.0, 4.0)   , (0.0, 1.2)   , (0.3, 3.0)   , (0.01, 1.5)-  , (0.001, 0.9)   , (0.1, 1.0)   , (0.0, 3.5)   , (0.0, 1.0)   , (1.0, 7.0)-  , -- Stability, short-term block+  , -- Stability, fast trace     (0.0, 4.0)   , (0.0, 2.0)   , (0.5, 6.0)   , (0.001, 1.5)-  , (0.001, 2.0)   , (0.001, 1.0)   , (0.0, 5.0)   , (0.0, 1.0)   , (1.0, 7.0)-  , -- Transition function-    (2.5, 15.0)-  , (0.0, 1.0)   , -- Forgetting curve     (0.01, 0.25)   , (0.01, 0.95)-  , (0.5, 0.85)+  , (0.2, 0.85)   , (0.5, 0.99)   , (0.01, 1.0)   , (0.1, 1.0)   , (0.0, 0.9)   , (0.1, 1.1)+  , -- Modulation of the curve+    (0.0, 1.0)+  , (0.0, 0.6)+  , (0.0, 0.6)   ] --- | Pairs @(i, j)@ for which @w[i] <= w[j]@ must hold.+-- | Pairs @(i, j)@ for which @w[i] <= w[j]@ must hold: the initial stabilities+-- rise with the rating, and the slow component of the forgetting curve starts+-- above the fast one. orderingConstraints :: [(Int, Int)]-orderingConstraints = [(0, 1), (1, 2), (2, 3), (27, 28), (29, 30)]+orderingConstraints = [(0, 1), (1, 2), (2, 3), (25, 26)]  -- | Every problem with a candidate weight list, or @[]@ if there is none. validateParameters :: [Double] -> [ParameterError]@@ -220,10 +215,14 @@       | isNaN w || isInfinite w = [ParameterNotFinite i w]       | w < lo || w > hi = [ParameterOutOfBounds i w lo hi]       | otherwise = []-    orderErrors = mapMaybe checkOrder orderingConstraints+    -- Only meaningful once every weight is known to be finite; otherwise a+    -- NaN would be reported twice, once as itself and once as out of order.+    orderErrors+      | null boundErrors = concatMap checkOrder orderingConstraints+      | otherwise = []     checkOrder (i, j)-      | wi <= wj = Nothing-      | otherwise = Just (ParameterOutOfOrder i j wi wj)+      | wi <= wj = []+      | otherwise = [ParameterOutOfOrder i j wi wj]       where         wi = ws !! i         wj = ws !! j@@ -235,23 +234,23 @@   errs -> Left errs  -- | Build a parameter vector by pulling every weight into its valid range,--- exactly as the upstream optimiser's clipper does: bounds first, in index--- order, so that the ordering constraints are resolved against already-clamped--- neighbours. Only a wrong number of weights can still fail.+-- exactly as the upstream optimiser's clipper does: every weight is clamped to+-- its own bounds first, and only then are the ordering constraints restored by+-- raising the /larger/ index. Only a wrong number of weights can still fail. clampParameters :: [Double] -> Either [ParameterError] Parameters clampParameters ws   | length ws /= parameterCount = Left [WrongParameterCount (length ws)]-  | otherwise = Right (Parameters (listArray (0, parameterCount - 1) clamped))+  | otherwise = Right (Parameters (listArray (0, parameterCount - 1) ordered))   where-    clamped = foldl step [] (zip3 [0 :: Int ..] ws parameterBounds)-    -- `acc` is the already-clamped prefix, in order.-    step acc (i, w, (lo, hi)) = acc <> [clamp lo' hi' w]-      where-        lo' = maximum (lo : [acc !! j | (j, k) <- orderingConstraints, k == i])-        hi' = max lo' hi-    clamp lo hi x+    boxed = zipWith clampInto ws parameterBounds+    clampInto x (lo, hi)       | isNaN x = lo       | otherwise = min hi (max lo x)+    -- The constraints are listed in increasing order and chain through the+    -- initial stabilities, so a single left-to-right pass settles them.+    ordered = foldl raise boxed orderingConstraints+    raise acc (i, j) = setAt j (max (acc !! j) (acc !! i)) acc+    setAt i x xs = take i xs <> [x] <> drop (i + 1) xs  -- | @w[rating - 1]@: the stability a card is born with after its first review. initialStabilityWeight :: Parameters -> Rating -> Double@@ -269,34 +268,25 @@ difficultyDelta :: Parameters -> Double difficultyDelta p = parameterAt p 6 --- | @w25@: how fast a review stops counting as same-day.-transitionRate :: Parameters -> Double-transitionRate p = parameterAt p 25---- | @w26@: how much of the short-term behaviour applies at zero elapsed time.-transitionAmplitude :: Parameters -> Double-transitionAmplitude p = parameterAt p 26---- | One of the two nine-weight blocks that drive the stability update.+-- | One of the two eight-weight blocks that drive the stability update, one+-- per memory trace. data StabilityWeights = StabilityWeights   { swIncreaseBase :: !Double-  -- ^ @w7@ \/ @w16@, used as @exp (base - 1.5)@.+  -- ^ @w7@ \/ @w15@, used as @exp (base - 1.5)@.   , swIncreaseStabilityExponent :: !Double-  -- ^ @w8@ \/ @w17@.+  -- ^ @w8@ \/ @w16@.   , swIncreaseRetrievabilityFactor :: !Double-  -- ^ @w9@ \/ @w18@.+  -- ^ @w9@ \/ @w17@.   , swFailureFactor :: !Double-  -- ^ @w10@ \/ @w19@.-  , swFailureDifficultyExponent :: !Double-  -- ^ @w11@ \/ @w20@.+  -- ^ @w10@ \/ @w18@.   , swFailureStabilityExponent :: !Double-  -- ^ @w12@ \/ @w21@.+  -- ^ @w11@ \/ @w19@.   , swFailureRetrievabilityFactor :: !Double-  -- ^ @w13@ \/ @w22@.+  -- ^ @w12@ \/ @w20@.   , swHardPenalty :: !Double-  -- ^ @w14@ \/ @w23@.+  -- ^ @w13@ \/ @w21@.   , swEasyBonus :: !Double-  -- ^ @w15@ \/ @w24@.+  -- ^ @w14@ \/ @w22@.   }   deriving stock (Eq, Show) @@ -307,42 +297,57 @@     , swIncreaseStabilityExponent = at 1     , swIncreaseRetrievabilityFactor = at 2     , swFailureFactor = at 3-    , swFailureDifficultyExponent = at 4-    , swFailureStabilityExponent = at 5-    , swFailureRetrievabilityFactor = at 6-    , swHardPenalty = at 7-    , swEasyBonus = at 8+    , swFailureStabilityExponent = at 4+    , swFailureRetrievabilityFactor = at 5+    , swHardPenalty = at 6+    , swEasyBonus = at 7     }   where     at k = parameterAt p (base + k) --- | @w7..w15@: the block used for reviews separated by a real interval.-longTermWeights :: Parameters -> StabilityWeights-longTermWeights = stabilityWeightsAt 7+-- | @w7..w14@: the block that updates the slow trace.+slowTraceWeights :: Parameters -> StabilityWeights+slowTraceWeights = stabilityWeightsAt 7 --- | @w16..w24@: the block used for same-day reviews.-shortTermWeights :: Parameters -> StabilityWeights-shortTermWeights = stabilityWeightsAt 16+-- | @w15..w22@: the block that updates the fast trace.+fastTraceWeights :: Parameters -> StabilityWeights+fastTraceWeights = stabilityWeightsAt 15 --- | @w27..w34@: the mixture of two power laws that makes up the FSRS-7--- forgetting curve.+-- | @w23..w33@: the mixture of two power laws that makes up the FSRS-7+-- forgetting curve, and the three weights that modulate it.+--+-- The last three are stored the way the reference stores them — shifted so+-- that their range starts at zero — and the formulas in "FSRS.Algorithm"+-- offset them back. The field documentation gives the offset each one carries. data CurveWeights = CurveWeights-  { cwDecay1 :: !Double-  -- ^ @negate w27@ — already carries the minus sign the formula wants.+  { cwDecayBase1 :: !Double+  -- ^ @w23@: sets the fast component's decay, which is also scaled by the+  -- fast stability, so unlike every earlier version of FSRS the decay is not+  -- a constant.   , cwDecay2 :: !Double-  -- ^ @negate w28@.+  -- ^ @w24@: the slow component's decay magnitude.   , cwBase1 :: !Double-  -- ^ @w29@: the recall probability of the first component at @t == s@.+  -- ^ @w25@: the fast component's recall probability at @t == s_fast@.   , cwBase2 :: !Double-  -- ^ @w30@: likewise for the second component.+  -- ^ @w26@: likewise for the slow component at @t == s@.   , cwWeight1 :: !Double-  -- ^ @w31@.+  -- ^ @w27@: how much the fast component counts in the mixture.   , cwWeight2 :: !Double-  -- ^ @w32@.+  -- ^ @w28@: likewise for the slow component.   , cwStabilityPower1 :: !Double-  -- ^ @w33@; applied as @s ** negate cwStabilityPower1@.+  -- ^ @w29@; applied as @s_fast ** negate cwStabilityPower1@.   , cwStabilityPower2 :: !Double-  -- ^ @w34@; applied as @s ** cwStabilityPower2@.+  -- ^ @w30@; applied as @s ** cwStabilityPower2@.+  , cwDifficultyWeight :: !Double+  -- ^ @w31@; the mixture weight of the slow component is scaled by+  -- @exp ((d - 5) * (cwDifficultyWeight - 0.5))@.+  , cwDifficultyDecay :: !Double+  -- ^ @w32@; the slow component sees time scaled by+  -- @exp ((d - 5) * (cwDifficultyDecay - 0.3))@, so a hard card experiences+  -- time faster while decaying with the same slope.+  , cwStabilityDecay1 :: !Double+  -- ^ @w33@; the fast component's decay is scaled by+  -- @s_fast ** (cwStabilityDecay1 - 0.3)@.   }   deriving stock (Eq, Show) @@ -350,12 +355,15 @@ curveWeights :: Parameters -> CurveWeights curveWeights p =   CurveWeights-    { cwDecay1 = negate (parameterAt p 27)-    , cwDecay2 = negate (parameterAt p 28)-    , cwBase1 = parameterAt p 29-    , cwBase2 = parameterAt p 30-    , cwWeight1 = parameterAt p 31-    , cwWeight2 = parameterAt p 32-    , cwStabilityPower1 = parameterAt p 33-    , cwStabilityPower2 = parameterAt p 34+    { cwDecayBase1 = parameterAt p 23+    , cwDecay2 = parameterAt p 24+    , cwBase1 = parameterAt p 25+    , cwBase2 = parameterAt p 26+    , cwWeight1 = parameterAt p 27+    , cwWeight2 = parameterAt p 28+    , cwStabilityPower1 = parameterAt p 29+    , cwStabilityPower2 = parameterAt p 30+    , cwDifficultyWeight = parameterAt p 31+    , cwDifficultyDecay = parameterAt p 32+    , cwStabilityDecay1 = parameterAt p 33     }

@@ -14,7 +14,7 @@ -- -- * Elapsed time is measured in fractional days rather than truncated to whole --   days, and it is fed to the model directly. There is no same-day special---   case, because 'FSRS.Algorithm.transitionCoefficient' already is one.+--   case, because FSRS-7's fast memory trace already is one. -- * Scheduled intervals are not rounded to whole days. Set --   'schedulerMinimumInterval' to @1@ (the default) to keep review-queue --   intervals at a day or more anyway, or lower it to let FSRS-7 schedule@@ -61,7 +61,6 @@   , MemoryState (..)   , Rating (..)   , Retrievability-  , Stability   , allRatings   ) @@ -131,15 +130,19 @@     minutes :: Integer -> NominalDiffTime     minutes n = fromInteger (n * 60) --- | The interval a graduated card of the given stability earns, clamped to the+-- | The interval a graduated card in the given state earns, clamped to the -- scheduler's interval bounds.-nextReviewInterval :: Scheduler -> Stability -> Days-nextReviewInterval sched stability =+--+-- This takes a whole t'MemoryState' rather than a stability, because the+-- FSRS-7 forgetting curve is a mixture of both memory traces and is shaped by+-- the difficulty too.+nextReviewInterval :: Scheduler -> MemoryState -> Days+nextReviewInterval sched memory =   clampTo (schedulerMinimumInterval sched) (schedulerMaximumInterval sched) $     nextIntervalDays       (schedulerParameters sched)       (schedulerDesiredRetention sched)-      stability+      memory  -- | What happened in a single review. data ReviewLog = ReviewLog@@ -219,7 +222,7 @@   where     graduate = (Review, Nothing, daysToDiffTime fuzzed)       where-        plain = nextReviewInterval sched (memoryStability memory)+        plain = nextReviewInterval sched memory         fuzzed = maybe plain (\u -> fuzzInterval sched u plain) sample      current = max 0 (fromMaybe 0 (cardStep card))@@ -257,7 +260,7 @@   memory <- cardMemory card   previous <- cardLastReview card   let elapsed = max 0 (realToFrac (diffUTCTime now previous) / 86400)-  pure (retrievability (schedulerParameters sched) elapsed (memoryStability memory))+  pure (retrievability (schedulerParameters sched) elapsed memory)  -- | The interval each of the four ratings would earn, without reviewing. -- Handy for showing the four buttons' answers in a UI.

@@ -51,7 +51,9 @@ -- | How hard the card is for this reviewer, on a @[1, 10]@ scale. type Difficulty = Double --- | Probability of recall, in @(0, 1]@.+-- | Probability of recall. FSRS-7 squeezes it into @[1e-5, 1 - 1e-5]@ so that+-- neither it nor its logarithm can saturate, so a card reviewed a moment ago+-- has a retrievability just short of @1@ rather than exactly @1@. type Retrievability = Double  -- | A duration in days. Fractional values are meaningful throughout FSRS-7:@@ -59,8 +61,25 @@ type Days = Double  -- | Everything FSRS remembers about a card.+--+-- FSRS-7 tracks /two/ memory traces rather than one. Both are stabilities in+-- the same units; they differ only in how fast they decay and in which weights+-- update them.+--+-- * 'memoryStability' is the slow trace — the durable memory, and the one a+--   scheduler turns into an interval.+-- * 'memoryStabilityFast' is the fast trace, which carries the short-lived+--   boost a review gives you. It is what makes same-day reviews behave+--   differently from spaced ones, and it replaces the elapsed-time blend+--   between a long- and a short-term update that earlier drafts of FSRS-7+--   used.+--+-- The forgetting curve is a mixture of the two, so 'retrievability' needs a+-- whole 'MemoryState' — including the difficulty, which in FSRS-7 shapes the+-- curve as well. data MemoryState = MemoryState   { memoryStability :: !Stability   , memoryDifficulty :: !Difficulty+  , memoryStabilityFast :: !Stability   }   deriving stock (Eq, Ord, Show, Read)

@@ -12,7 +12,10 @@   , genStability   , genDifficulty   , genMemoryState+  , genNaturalMemoryState+  , genGrowableState   , genElapsedDays+  , genRetrievability   , genDesiredRetention   , genReviewHistory   , genUTCTime@@ -40,7 +43,7 @@ genRandomParameters :: Gen Parameters genRandomParameters = do   ws <- traverse choose parameterBounds-  -- `clampParameters` only re-establishes the three ordering constraints; the+  -- `clampParameters` only re-establishes the ordering constraints; the   -- weights are already inside their individual bounds.   case clampParameters ws of     Right p -> pure p@@ -67,15 +70,71 @@     , (8, choose (difficultyMin, difficultyMax))     ] +-- | A whole memory state. The fast trace is usually a modest multiple of the+-- slow one, as it is in practice, but sometimes wildly different so that+-- nothing may assume a relationship between them. genMemoryState :: Gen MemoryState-genMemoryState = MemoryState <$> genStability <*> genDifficulty+genMemoryState = do+  s <- genStability+  d <- genDifficulty+  sFast <-+    frequency+      [ (6, pure (clampStability (s * fastTraceRatio)))+      , (2, (\k -> clampStability (s * k)) <$> choose (0.05, 20))+      , (2, genStability)+      ]+  pure (MemoryState s d sFast)+  where+    clampStability = min stabilityMax . max stabilityMin +-- | A state whose fast trace sits at exactly the ratio to the slow one that+-- the model itself establishes for a new card.+--+-- Properties about what /more stability/ or /more difficulty/ does need this:+-- the FSRS-7 curve weights its two components by their own stabilities, so for+-- a wildly lopsided pair of traces those questions have no monotone answer —+-- raising difficulty slows the slow component but also shifts mixture weight+-- onto the fast one, and which effect wins depends on the ratio.+genNaturalMemoryState :: Gen MemoryState+genNaturalMemoryState = do+  s <- choose (log naturalStabilityMin, log stabilityMax)+  d <- genDifficulty+  pure (naturalState (exp s) d)++-- | A 'genNaturalMemoryState' together with a factor by which both of its+-- traces can be multiplied without either leaving its range — so that scaling+-- really does scale, instead of saturating one trace and skewing the ratio.+genGrowableState :: Gen (MemoryState, Double)+genGrowableState = do+  growth <- exp <$> choose (1.0e-6, 5)+  s <- choose (log naturalStabilityMin, log (stabilityMax / growth))+  d <- genDifficulty+  pure (naturalState (exp s) d, growth)++-- | The smallest slow stability whose fast trace is still above the floor, so+-- that the ratio is exact rather than clamped.+naturalStabilityMin :: Stability+naturalStabilityMin = stabilityMin / fastTraceRatio++naturalState :: Stability -> Difficulty -> MemoryState+naturalState s d = MemoryState s d (fastTraceRatio * s)+ -- | Anything from "the same instant" to ten years, log-uniform in between. genElapsedDays :: Gen Days genElapsedDays =   frequency     [ (2, pure 0)     , (8, exp <$> choose (log (1 / 86400), log 3650))+    ]++-- | Anything the forgetting curve could plausibly have returned, including the+-- extremes it is rescaled into.+genRetrievability :: Gen Retrievability+genRetrievability =+  frequency+    [ (1, pure retrievabilityFloor)+    , (1, pure (1 - retrievabilityFloor))+    , (8, choose (retrievabilityFloor, 1 - retrievabilityFloor))     ]  genDesiredRetention :: Gen Retrievability

@@ -1,5 +1,5 @@ -- | Every function of the model, checked against vectors produced by the--- pure-Python transcription of the upstream reference implementation.+-- pure-Python transcription of the reference implementation. -- -- The two implementations perform the same floating-point operations in the -- same order on the same libm, so agreement is expected to the last few bits;@@ -36,9 +36,9 @@     , testCase "the first golden parameter set is the default one" $         take 1 goldenParameterSets @?= [parametersToList defaultParameters]     , labelled "forgetting curve" goldenCurveVectors checkCurve+    , labelled "fast-trace recall" goldenFastRecallVectors checkFastRecall     , labelled "difficulty" goldenDifficultyVectors checkDifficulty     , labelled "stability blocks" goldenHalfStabilityVectors checkHalfStability-    , labelled "transition function" goldenTransitionVectors checkTransition     , labelled "memory-state transition" goldenStepVectors checkStep     , labelled "interval inversion" goldenIntervalVectors checkInterval     , labelled "replayed review histories" goldenReplayVectors checkReplay@@ -59,6 +59,10 @@   Just r -> r   Nothing -> error ("golden vector has a bad rating: " <> show n) +-- | The vectors spell states out as @(S, D, S_fast)@ triples.+stateOf :: (Double, Double, Double) -> MemoryState+stateOf (s, d, sFast) = MemoryState s d sFast+ close :: Double -> String -> Double -> Double -> Assertion close t label expected actual =   unless (approxEqual t t actual expected) $@@ -71,17 +75,28 @@         <> "\n  relative error: "         <> show (relativeError actual expected) +closeState :: Double -> String -> (Double, Double, Double) -> MemoryState -> Assertion+closeState t label (s, d, sFast) actual = do+  close t (label <> " [stability]") s (memoryStability actual)+  close t (label <> " [difficulty]") d (memoryDifficulty actual)+  close t (label <> " [fast stability]") sFast (memoryStabilityFast actual)+ checkCurve :: CurveVector -> Assertion checkCurve v =   close tol (show v) (cvRetrievability v) $-    retrievability (paramsAt (cvParams v)) (cvElapsedDays v) (cvStability v)+    retrievability (paramsAt (cvParams v)) (cvElapsedDays v) (stateOf (cvState v)) +checkFastRecall :: FastRecallVector -> Assertion+checkFastRecall v =+  close tol (show v) (frRecall v) $+    fastTraceRetrievability (paramsAt (frParams v)) (frElapsedDays v) (frStabilityFast v)+ checkDifficulty :: DifficultyVector -> Assertion checkDifficulty v =   close tol (show v) (dvNextDifficulty v) $     case dvDifficulty v of       Nothing -> initialDifficulty params rating-      Just d -> nextDifficulty params d rating+      Just d -> nextDifficulty params d (dvRetrievability v) rating   where     params = paramsAt (dvParams v)     rating = ratingAt (dvRating v)@@ -91,43 +106,31 @@   close tol (show v) (hsNextStability v) $     stabilityAfterReview       block-      (MemoryState (hsStability v) (hsDifficulty v))+      (hsStability v)+      (hsDifficulty v)       (hsRetrievability v)       (ratingAt (hsRating v))   where     params = paramsAt (hsParams v)-    block = (if hsLongTerm v then longTermWeights else shortTermWeights) params--checkTransition :: TransitionVector -> Assertion-checkTransition v =-  close tol (show v) (tvCoefficient v) $-    transitionCoefficient (paramsAt (tvParams v)) (tvElapsedDays v)+    block = (if hsSlowTrace v then slowTraceWeights else fastTraceWeights) params  checkStep :: StepVector -> Assertion-checkStep v = do-  close tol (show v <> " [stability]") expectedS (memoryStability actual)-  close tol (show v <> " [difficulty]") expectedD (memoryDifficulty actual)-  where-    (expectedS, expectedD) = svNextState v-    actual =-      nextMemoryState-        (paramsAt (svParams v))-        (uncurry MemoryState <$> svState v)-        (svElapsedDays v)-        (ratingAt (svRating v))+checkStep v = closeState tol (show v) (svNextState v) $+  nextMemoryState+    (paramsAt (svParams v))+    (stateOf <$> svState v)+    (svElapsedDays v)+    (ratingAt (svRating v))  checkInterval :: IntervalVector -> Assertion checkInterval v =   close intervalTol (show v) (ivInterval v) $-    nextIntervalDays (paramsAt (ivParams v)) (ivDesiredRetention v) (ivStability v)+    nextIntervalDays (paramsAt (ivParams v)) (ivDesiredRetention v) (stateOf (ivState v))  checkReplay :: ReplayVector -> Assertion checkReplay v = case replayReviews params reviews of   Nothing -> assertFailure (show v <> ": replayReviews returned Nothing")-  Just actual -> do-    close tol (show v <> " [stability]") expectedS (memoryStability actual)-    close tol (show v <> " [difficulty]") expectedD (memoryDifficulty actual)+  Just actual -> closeState tol (show v) (rvFinalState v) actual   where     params = paramsAt (rvParams v)     reviews = [(dt, ratingAt g) | (dt, g) <- rvReviews v]-    (expectedS, expectedD) = rvFinalState v

@@ -7,2717 +7,5721 @@ -- | Golden vectors for the FSRS-7 implementation. -- -- Generated by @reference\/gen_golden.py@ from the pure-Python--- transcription of the official benchmark model. Do not edit by hand;--- regenerate with @python3 reference\/gen_golden.py@.-module Test.FSRS.GoldenData-  ( goldenParameterSets-  , CurveVector (..)-  , goldenCurveVectors-  , DifficultyVector (..)-  , goldenDifficultyVectors-  , HalfStabilityVector (..)-  , goldenHalfStabilityVectors-  , TransitionVector (..)-  , goldenTransitionVectors-  , StepVector (..)-  , goldenStepVectors-  , IntervalVector (..)-  , goldenIntervalVectors-  , ReplayVector (..)-  , goldenReplayVectors-  ) where---- | The parameter sets the vectors below refer to by index.---   Index 0 is the FSRS-7 default parameter set.-goldenParameterSets :: [[Double]]-goldenParameterSets =-  [ [0.041, 2.4175, 4.1283, 11.9709, 5.6385, 0.4468, 3.262, 2.3054, 0.1688, 1.3325, 0.3524, 0.0049, 0.7503, 0.0896, 0.6625, 1.3, 0.882, 0.3072, 3.5875, 0.303, 0.0107, 0.2279, 2.6413, 0.5594, 1.3, 2.5, 1.0, 0.0723, 0.1634, 0.5, 0.9555, 0.2245, 0.6232, 0.1362, 0.3862]-  , [21.160516, 50.940793, 64.835975, 64.835975, 8.15903, 2.002545, 2.260348, 0.261677, 1.007671, 0.835788, 1.121191, 0.482646, 0.805315, 1.109673, 0.243581, 5.499531, 1.698145, 1.144289, 3.924479, 0.305639, 1.731898, 0.979642, 2.748763, 0.621608, 3.323164, 12.353494, 0.589693, 0.023181, 0.916871, 0.810769, 0.810769, 0.643876, 0.388689, 0.492485, 0.639409]-  , [2.462798, 11.949056, 79.640406, 79.640406, 7.614116, 1.181111, 0.390871, 2.724834, 0.753779, 2.243577, 0.730412, 0.835923, 0.322241, 1.039029, 0.595056, 6.951994, 3.326003, 0.777298, 2.338648, 0.894925, 0.32714, 0.712525, 3.444161, 0.965072, 6.509826, 5.536095, 0.438431, 0.018217, 0.26739, 0.581093, 0.581093, 0.397612, 0.469117, 0.180743, 0.357585]-  ]---- | @R(t, s)@, the probability of recall.-data CurveVector = CurveVector-  { cvParams :: !Int-  , cvElapsedDays :: !Double-  , cvStability :: !Double-  , cvRetrievability :: !Double-  }-  deriving stock (Eq, Show)--goldenCurveVectors :: [CurveVector]-goldenCurveVectors =-  [ CurveVector 0 0.0 0.0001 1.0-  , CurveVector 0 0.0 0.01 1.0-  , CurveVector 0 0.0 0.5 1.0-  , CurveVector 0 0.0 1.0 1.0-  , CurveVector 0 0.0 4.1283 1.0-  , CurveVector 0 0.0 15.0 1.0-  , CurveVector 0 0.0 100.0 1.0-  , CurveVector 0 0.0 1000.0 1.0-  , CurveVector 0 0.0 36500.0 1.0-  , CurveVector 0 1.1574074074074073e-5 0.0001 0.5933860064644932-  , CurveVector 0 1.1574074074074073e-5 0.01 0.8495113580744659-  , CurveVector 0 1.1574074074074073e-5 0.5 0.9929070497623003-  , CurveVector 0 1.1574074074074073e-5 1.0 0.9970315864605649-  , CurveVector 0 1.1574074074074073e-5 4.1283 0.9995760691373587-  , CurveVector 0 1.1574074074074073e-5 15.0 0.9999349085685156-  , CurveVector 0 1.1574074074074073e-5 100.0 0.9999961594473195-  , CurveVector 0 1.1574074074074073e-5 1000.0 0.9999998815426243-  , CurveVector 0 1.1574074074074073e-5 36500.0 0.9999999994861863-  , CurveVector 0 0.0006944444444444445 0.0001 0.4432668218647261-  , CurveVector 0 0.0006944444444444445 0.01 0.6844202927268608-  , CurveVector 0 0.0006944444444444445 0.5 0.9323536480673809-  , CurveVector 0 0.0006944444444444445 1.0 0.9576427479174111-  , CurveVector 0 0.0006944444444444445 4.1283 0.9874342644794948-  , CurveVector 0 0.0006944444444444445 15.0 0.9970520789455777-  , CurveVector 0 0.0006944444444444445 100.0 0.999781044413337-  , CurveVector 0 0.0006944444444444445 1000.0 0.9999929300276222-  , CurveVector 0 0.0006944444444444445 36500.0 0.9999999691755385-  , CurveVector 0 0.006944444444444444 0.0001 0.3730533620906363-  , CurveVector 0 0.006944444444444444 0.01 0.6043230466193572-  , CurveVector 0 0.006944444444444444 0.5 0.8907215861983732-  , CurveVector 0 0.006944444444444444 1.0 0.9244321330914924-  , CurveVector 0 0.006944444444444444 4.1283 0.9693189917294772-  , CurveVector 0 0.006944444444444444 15.0 0.9889027240570584-  , CurveVector 0 0.006944444444444444 100.0 0.9984451422665508-  , CurveVector 0 0.006944444444444444 1000.0 0.9999325077444561-  , CurveVector 0 0.006944444444444444 36500.0 0.9999996921537052-  , CurveVector 0 0.25 0.0001 0.2851191592785943-  , CurveVector 0 0.25 0.01 0.456616482214346-  , CurveVector 0 0.25 0.5 0.8224198592478944-  , CurveVector 0 0.25 1.0 0.8723190093653708-  , CurveVector 0 0.25 4.1283 0.9404929608601553-  , CurveVector 0 0.25 15.0 0.9728008245439088-  , CurveVector 0 0.25 100.0 0.9926213962042669-  , CurveVector 0 0.25 1000.0 0.9989715171159107-  , CurveVector 0 0.25 36500.0 0.9999894395613305-  , CurveVector 0 1.0 0.0001 0.25713379769027217-  , CurveVector 0 1.0 0.01 0.39965839215670973-  , CurveVector 0 1.0 0.5 0.7698463681144272-  , CurveVector 0 1.0 1.0 0.8348679957532145-  , CurveVector 0 1.0 4.1283 0.9242342483541028-  , CurveVector 0 1.0 15.0 0.965276266166443-  , CurveVector 0 1.0 100.0 0.9899633108373221-  , CurveVector 0 1.0 1000.0 0.9982079823122783-  , CurveVector 0 1.0 36500.0 0.9999628548326086-  , CurveVector 0 3.0 0.0001 0.2369807334603691-  , CurveVector 0 3.0 0.01 0.3595136620236083-  , CurveVector 0 3.0 0.5 0.7027042985360686-  , CurveVector 0 3.0 1.0 0.7807132698581536-  , CurveVector 0 3.0 4.1283 0.8996583671005782-  , CurveVector 0 3.0 15.0 0.9554107397126494-  , CurveVector 0 3.0 100.0 0.9872853400435361-  , CurveVector 0 3.0 1000.0 0.9975222007805449-  , CurveVector 0 3.0 36500.0 0.9999133375629187-  , CurveVector 0 7.5 0.0001 0.22142030501492593-  , CurveVector 0 7.5 0.01 0.3294480191014634-  , CurveVector 0 7.5 0.5 0.6343961597998443-  , CurveVector 0 7.5 1.0 0.7161183991831989-  , CurveVector 0 7.5 4.1283 0.8618548545083785-  , CurveVector 0 7.5 15.0 0.9397110393641435-  , CurveVector 0 7.5 100.0 0.9837439115086568-  , CurveVector 0 7.5 1000.0 0.9968247800782952-  , CurveVector 0 7.5 36500.0 0.9998474481935904-  , CurveVector 0 30.0 0.0001 0.19984766152161007-  , CurveVector 0 30.0 0.01 0.28929613460097364-  , CurveVector 0 30.0 0.5 0.5298364300580066-  , CurveVector 0 30.0 1.0 0.6031223500178141-  , CurveVector 0 30.0 4.1283 0.7644685415426927-  , CurveVector 0 30.0 15.0 0.886172361687806-  , CurveVector 0 30.0 100.0 0.971243149616753-  , CurveVector 0 30.0 1000.0 0.9950103052406525-  , CurveVector 0 30.0 36500.0 0.9997052031663322-  , CurveVector 0 365.0 0.0001 0.16624187657470219-  , CurveVector 0 365.0 0.01 0.2304175269361819-  , CurveVector 0 365.0 0.5 0.37581378678844907-  , CurveVector 0 365.0 1.0 0.42347782141604523-  , CurveVector 0 365.0 4.1283 0.5441682159716109-  , CurveVector 0 365.0 15.0 0.6762521980608913-  , CurveVector 0 365.0 100.0 0.867529117768457-  , CurveVector 0 365.0 1000.0 0.9777522230298146-  , CurveVector 0 365.0 36500.0 0.9990262613080615-  , CurveVector 0 3650.0 0.0001 0.1403867606436746-  , CurveVector 0 3650.0 0.01 0.18814188666158319-  , CurveVector 0 3650.0 0.5 0.2750460193341646-  , CurveVector 0 3650.0 1.0 0.3048269100949967-  , CurveVector 0 3650.0 4.1283 0.3837451992278071-  , CurveVector 0 3650.0 15.0 0.47717234376306134-  , CurveVector 0 3650.0 100.0 0.6512878215764997-  , CurveVector 0 3650.0 1000.0 0.8768098115543785-  , CurveVector 0 3650.0 36500.0 0.9942449441927469-  , CurveVector 1 0.0 0.0001 1.0-  , CurveVector 1 0.0 0.01 1.0-  , CurveVector 1 0.0 0.5 1.0-  , CurveVector 1 0.0 1.0 1.0-  , CurveVector 1 0.0 4.1283 1.0-  , CurveVector 1 0.0 15.0 1.0-  , CurveVector 1 0.0 100.0 1.0-  , CurveVector 1 0.0 1000.0 1.0-  , CurveVector 1 0.0 36500.0 1.0-  , CurveVector 1 1.1574074074074073e-5 0.0001 0.8523118660514808-  , CurveVector 1 1.1574074074074073e-5 0.01 0.9464045240335968-  , CurveVector 1 1.1574074074074073e-5 0.5 0.9967370567403695-  , CurveVector 1 1.1574074074074073e-5 1.0 0.9986422759813346-  , CurveVector 1 1.1574074074074073e-5 4.1283 0.9998630293353797-  , CurveVector 1 1.1574074074074073e-5 15.0 0.9999889480490822-  , CurveVector 1 1.1574074074074073e-5 100.0 0.9999997688242355-  , CurveVector 1 1.1574074074074073e-5 1000.0 0.9999999957537147-  , CurveVector 1 1.1574074074074073e-5 36500.0 0.9999999999245476-  , CurveVector 1 0.0006944444444444445 0.0001 0.7751473949811729-  , CurveVector 1 0.0006944444444444445 0.01 0.8628468758887021-  , CurveVector 1 0.0006944444444444445 0.5 0.9549077686473312-  , CurveVector 1 0.0006944444444444445 1.0 0.9726123591278394-  , CurveVector 1 0.0006944444444444445 4.1283 0.994878960710534-  , CurveVector 1 0.0006944444444444445 15.0 0.9994396296146354-  , CurveVector 1 0.0006944444444444445 100.0 0.9999864797130398-  , CurveVector 1 0.0006944444444444445 1000.0 0.9999997454930079-  , CurveVector 1 0.0006944444444444445 36500.0 0.9999999954728627-  , CurveVector 1 0.006944444444444444 0.0001 0.7348526048890944-  , CurveVector 1 0.006944444444444444 0.01 0.8177897420073064-  , CurveVector 1 0.006944444444444444 0.5 0.9170456452923051-  , CurveVector 1 0.006944444444444444 1.0 0.9428992518963294-  , CurveVector 1 0.006944444444444444 4.1283 0.9843947461781376-  , CurveVector 1 0.006944444444444444 15.0 0.997291246557506-  , CurveVector 1 0.006944444444444444 100.0 0.9998880108746181-  , CurveVector 1 0.006944444444444444 1000.0 0.9999974787127267-  , CurveVector 1 0.006944444444444444 36500.0 0.9999999547289472-  , CurveVector 1 0.25 0.0001 0.6762743567768189-  , CurveVector 1 0.25 0.01 0.7505308522242855-  , CurveVector 1 0.25 0.5 0.8392665173234493-  , CurveVector 1 0.25 1.0 0.8776118456992493-  , CurveVector 1 0.25 4.1283 0.9557830490326991-  , CurveVector 1 0.25 15.0 0.9885751564319429-  , CurveVector 1 0.25 100.0 0.9987955076727638-  , CurveVector 1 0.25 1000.0 0.9999237504867172-  , CurveVector 1 0.25 36500.0 0.9999983706724714-  , CurveVector 1 1.0 0.0001 0.6548872661921853-  , CurveVector 1 1.0 0.01 0.7264518681527963-  , CurveVector 1 1.0 0.5 0.7731740600264984-  , CurveVector 1 1.0 1.0 0.810769-  , CurveVector 1 1.0 4.1283 0.9190823327933287-  , CurveVector 1 1.0 15.0 0.975841522705037-  , CurveVector 1 1.0 100.0 0.9967920795404497-  , CurveVector 1 1.0 1000.0 0.999730641866046-  , CurveVector 1 1.0 36500.0 0.9999934873029269-  , CurveVector 1 3.0 0.0001 0.6384198660053784-  , CurveVector 1 3.0 0.01 0.708088035759968-  , CurveVector 1 3.0 0.5 0.701602618114653-  , CurveVector 1 3.0 1.0 0.715726404952451-  , CurveVector 1 3.0 4.1283 0.8452125848714827-  , CurveVector 1 3.0 15.0 0.9469306801277422-  , CurveVector 1 3.0 100.0 0.9919643351359503-  , CurveVector 1 3.0 1000.0 0.9992451543075624-  , CurveVector 1 3.0 36500.0 0.9999804885340793-  , CurveVector 1 7.5 0.0001 0.6250024841695064-  , CurveVector 1 7.5 0.01 0.6931736699730552-  , CurveVector 1 7.5 0.5 0.6477065571889125-  , CurveVector 1 7.5 1.0 0.6230688725366799-  , CurveVector 1 7.5 4.1283 0.7276607711422548-  , CurveVector 1 7.5 15.0 0.8899496169066309-  , CurveVector 1 7.5 100.0 0.9815538224427173-  , CurveVector 1 7.5 1000.0 0.9981752619340438-  , CurveVector 1 7.5 36500.0 0.9999513066062199-  , CurveVector 1 30.0 0.0001 0.6052368883847312-  , CurveVector 1 30.0 0.01 0.671234178061259-  , CurveVector 1 30.0 0.5 0.5947036849457923-  , CurveVector 1 30.0 1.0 0.5189670702148328-  , CurveVector 1 30.0 4.1283 0.47889902062470296-  , CurveVector 1 30.0 15.0 0.6917999200125268-  , CurveVector 1 30.0 100.0 0.9332515717445918-  , CurveVector 1 30.0 1000.0 0.9929049778715002-  , CurveVector 1 30.0 36500.0 0.9998057738948768-  , CurveVector 1 365.0 0.0001 0.5711760994954371-  , CurveVector 1 365.0 0.01 0.6334530598009184-  , CurveVector 1 365.0 0.5 0.5473455073533272-  , CurveVector 1 365.0 1.0 0.4467423870943384-  , CurveVector 1 365.0 4.1283 0.2236204733666933-  , CurveVector 1 365.0 15.0 0.20485637040312182-  , CurveVector 1 365.0 100.0 0.5472460692590585-  , CurveVector 1 365.0 1000.0 0.9209964297111749-  , CurveVector 1 365.0 36500.0 0.9976476169878027-  , CurveVector 1 3650.0 0.0001 0.5414882365587022-  , CurveVector 1 3650.0 0.01 0.600527626709789-  , CurveVector 1 3650.0 0.5 0.5174338916915161-  , CurveVector 1 3650.0 1.0 0.4187361900293764-  , CurveVector 1 3650.0 4.1283 0.17815726304772947-  , CurveVector 1 3650.0 15.0 0.07182364534647995-  , CurveVector 1 3650.0 100.0 0.12261437863592996-  , CurveVector 1 3650.0 1000.0 0.5452451752481946-  , CurveVector 1 3650.0 36500.0 0.9769943425928189-  , CurveVector 2 0.0 0.0001 1.0-  , CurveVector 2 0.0 0.01 1.0-  , CurveVector 2 0.0 0.5 1.0-  , CurveVector 2 0.0 1.0 1.0-  , CurveVector 2 0.0 4.1283 1.0-  , CurveVector 2 0.0 15.0 1.0-  , CurveVector 2 0.0 100.0 1.0-  , CurveVector 2 0.0 1000.0 1.0-  , CurveVector 2 0.0 36500.0 1.0-  , CurveVector 2 1.1574074074074073e-5 0.0001 0.606467529772504-  , CurveVector 2 1.1574074074074073e-5 0.01 0.6879249664472816-  , CurveVector 2 1.1574074074074073e-5 0.5 0.8376629751583106-  , CurveVector 2 1.1574074074074073e-5 1.0 0.8691455215882177-  , CurveVector 2 1.1574074074074073e-5 4.1283 0.9245200592994596-  , CurveVector 2 1.1574074074074073e-5 15.0 0.9589607675714509-  , CurveVector 2 1.1574074074074073e-5 100.0 0.9852302440781773-  , CurveVector 2 1.1574074074074073e-5 1000.0 0.9961835844156868-  , CurveVector 2 1.1574074074074073e-5 36500.0 0.9996023459553239-  , CurveVector 2 0.0006944444444444445 0.0001 0.5592622855394497-  , CurveVector 2 0.0006944444444444445 0.01 0.6364681643081666-  , CurveVector 2 0.0006944444444444445 0.5 0.8085965033237014-  , CurveVector 2 0.0006944444444444445 1.0 0.8449260419015837-  , CurveVector 2 0.0006944444444444445 4.1283 0.9093808945594827-  , CurveVector 2 0.0006944444444444445 15.0 0.9500009198888169-  , CurveVector 2 0.0006944444444444445 100.0 0.9815131069373282-  , CurveVector 2 0.0006944444444444445 1000.0 0.9950082011084547-  , CurveVector 2 0.0006944444444444445 36500.0 0.9994183653980044-  , CurveVector 2 0.006944444444444444 0.0001 0.5350670232767891-  , CurveVector 2 0.006944444444444444 0.01 0.589113601405182-  , CurveVector 2 0.006944444444444444 0.5 0.7844310926509394-  , CurveVector 2 0.006944444444444444 1.0 0.8266256162029996-  , CurveVector 2 0.006944444444444444 4.1283 0.8995564546163054-  , CurveVector 2 0.006944444444444444 15.0 0.9446694150577564-  , CurveVector 2 0.006944444444444444 100.0 0.9794440853923929-  , CurveVector 2 0.006944444444444444 1000.0 0.9943744941210607-  , CurveVector 2 0.006944444444444444 36500.0 0.9993204768981533-  , CurveVector 2 0.25 0.0001 0.5003708631019913-  , CurveVector 2 0.25 0.01 0.5216072380488823-  , CurveVector 2 0.25 0.5 0.6280324448150036-  , CurveVector 2 0.25 1.0 0.6903199684153861-  , CurveVector 2 0.25 4.1283 0.8282411098226722-  , CurveVector 2 0.25 15.0 0.915358354463665-  , CurveVector 2 0.25 100.0 0.9725726133113185-  , CurveVector 2 0.25 1000.0 0.9930348052824383-  , CurveVector 2 0.25 36500.0 0.9991647717317014-  , CurveVector 2 1.0 0.0001 0.4877182960236155-  , CurveVector 2 1.0 0.01 0.5020895922583641-  , CurveVector 2 1.0 0.5 0.5369692356076303-  , CurveVector 2 1.0 1.0 0.5810929999999999-  , CurveVector 2 1.0 4.1283 0.7239189779069897-  , CurveVector 2 1.0 15.0 0.8580842903071186-  , CurveVector 2 1.0 100.0 0.9597307808999423-  , CurveVector 2 1.0 1000.0 0.991401983249404-  , CurveVector 2 1.0 36500.0 0.9990753188455495-  , CurveVector 2 3.0 0.0001 0.47795520962718263-  , CurveVector 2 3.0 0.01 0.48842523115540376-  , CurveVector 2 3.0 0.5 0.4767232073536098-  , CurveVector 2 3.0 1.0 0.5015673153236732-  , CurveVector 2 3.0 4.1283 0.6133617183123362-  , CurveVector 2 3.0 15.0 0.7652883605652564-  , CurveVector 2 3.0 100.0 0.9306360628988384-  , CurveVector 2 3.0 1000.0 0.9877295789699271-  , CurveVector 2 3.0 36500.0 0.9989374948726737-  , CurveVector 2 7.5 0.0001 0.4699801195648465-  , CurveVector 2 7.5 0.01 0.47796923981833955-  , CurveVector 2 7.5 0.5 0.4359460557309245-  , CurveVector 2 7.5 1.0 0.44650478450469305-  , CurveVector 2 7.5 4.1283 0.5236779738387979-  , CurveVector 2 7.5 15.0 0.6621824742906998-  , CurveVector 2 7.5 100.0 0.8787205126459078-  , CurveVector 2 7.5 1000.0 0.9800441454347029-  , CurveVector 2 7.5 36500.0 0.9986865595421579-  , CurveVector 2 30.0 0.0001 0.4581895710614185-  , CurveVector 2 30.0 0.01 0.46341631653021614-  , CurveVector 2 30.0 0.5 0.3880162263777013-  , CurveVector 2 30.0 1.0 0.3819137459401326-  , CurveVector 2 30.0 4.1283 0.4118207123301889-  , CurveVector 2 30.0 15.0 0.5051701223166598-  , CurveVector 2 30.0 100.0 0.7363682560284641-  , CurveVector 2 30.0 1000.0 0.9460279362095325-  , CurveVector 2 30.0 36500.0 0.9975540277157354-  , CurveVector 2 365.0 0.0001 0.43772550284476164-  , CurveVector 2 365.0 0.01 0.43996830916988416-  , CurveVector 2 365.0 0.5 0.3307292574698105-  , CurveVector 2 365.0 1.0 0.3068347504530301-  , CurveVector 2 365.0 4.1283 0.2820726268682856-  , CurveVector 2 365.0 15.0 0.30463737786259887-  , CurveVector 2 365.0 100.0 0.43185104483801695-  , CurveVector 2 365.0 1000.0 0.7175121426626243-  , CurveVector 2 365.0 36500.0 0.9819794894033199-  , CurveVector 2 3650.0 0.0001 0.4197078090483988-  , CurveVector 2 3650.0 0.01 0.42052494087116143-  , CurveVector 2 3650.0 0.5 0.29772170181139634-  , CurveVector 2 3650.0 1.0 0.266007008010134-  , CurveVector 2 3650.0 4.1283 0.21591765051843548-  , CurveVector 2 3650.0 15.0 0.20257783586795206-  , CurveVector 2 3650.0 100.0 0.25116200187670906-  , CurveVector 2 3650.0 1000.0 0.4251397867408951-  , CurveVector 2 3650.0 36500.0 0.8722585713639893-  ]---- | Initial and subsequent difficulty.-data DifficultyVector = DifficultyVector-  { dvParams :: !Int-  , dvDifficulty :: !(Maybe Double)-    -- ^ 'Nothing' for the initial difficulty of a brand-new card.-  , dvRating :: !Int-  , dvNextDifficulty :: !Double-  }-  deriving stock (Eq, Show)--goldenDifficultyVectors :: [DifficultyVector]-goldenDifficultyVectors =-  [ DifficultyVector 0 Nothing 1 5.6385-  , DifficultyVector 0 Nothing 2 5.075198392303237-  , DifficultyVector 0 Nothing 3 4.194588083372719-  , DifficultyVector 0 Nothing 4 2.817928571667297-  , DifficultyVector 0 (Just 1.0) 1 7.476939285716673-  , DifficultyVector 0 (Just 1.0) 2 4.247559285716673-  , DifficultyVector 0 (Just 1.0) 3 1.018179285716673-  , DifficultyVector 0 (Just 1.0) 4 1.0-  , DifficultyVector 0 (Just 2.5) 1 7.885479285716673-  , DifficultyVector 0 (Just 2.5) 2 5.194329285716673-  , DifficultyVector 0 (Just 2.5) 3 2.5031792857166733-  , DifficultyVector 0 (Just 2.5) 4 1.0-  , DifficultyVector 0 (Just 4.194588083372719) 1 8.347017296104067-  , DifficultyVector 0 (Just 4.194588083372719) 2 6.263919392179866-  , DifficultyVector 0 (Just 4.194588083372719) 3 4.180821488255665-  , DifficultyVector 0 (Just 4.194588083372719) 4 2.097723584331464-  , DifficultyVector 0 (Just 7.0) 1 9.111099285716673-  , DifficultyVector 0 (Just 7.0) 2 8.034639285716674-  , DifficultyVector 0 (Just 7.0) 3 6.958179285716673-  , DifficultyVector 0 (Just 7.0) 4 5.881719285716673-  , DifficultyVector 0 (Just 10.0) 1 9.928179285716674-  , DifficultyVector 0 (Just 10.0) 2 9.928179285716674-  , DifficultyVector 0 (Just 10.0) 3 9.928179285716674-  , DifficultyVector 0 (Just 10.0) 4 9.928179285716674-  , DifficultyVector 1 Nothing 1 8.15903-  , DifficultyVector 1 Nothing 2 1.7511448034338732-  , DifficultyVector 1 Nothing 3 1.0-  , DifficultyVector 1 Nothing 4 1.0-  , DifficultyVector 1 (Just 1.0) 1 1.4918717310343146-  , DifficultyVector 1 (Just 1.0) 2 1.0-  , DifficultyVector 1 (Just 1.0) 3 1.0-  , DifficultyVector 1 (Just 1.0) 4 1.0-  , DifficultyVector 1 (Just 2.5) 1 2.2309568910343147-  , DifficultyVector 1 (Just 2.5) 2 1.0-  , DifficultyVector 1 (Just 2.5) 3 1.0-  , DifficultyVector 1 (Just 2.5) 4 1.0-  , DifficultyVector 1 (Just 4.194588083372719) 1 3.065920160856728-  , DifficultyVector 1 (Just 4.194588083372719) 2 1.6224725272150176-  , DifficultyVector 1 (Just 4.194588083372719) 3 1.0-  , DifficultyVector 1 (Just 4.194588083372719) 4 1.0-  , DifficultyVector 1 (Just 7.0) 1 4.448212371034315-  , DifficultyVector 1 (Just 7.0) 2 3.702297531034315-  , DifficultyVector 1 (Just 7.0) 3 2.9563826910343147-  , DifficultyVector 1 (Just 7.0) 4 2.2104678510343154-  , DifficultyVector 1 (Just 10.0) 1 5.926382691034315-  , DifficultyVector 1 (Just 10.0) 2 5.926382691034315-  , DifficultyVector 1 (Just 10.0) 3 5.926382691034315-  , DifficultyVector 1 (Just 10.0) 4 5.926382691034315-  , DifficultyVector 2 Nothing 1 7.614116-  , DifficultyVector 2 Nothing 2 5.356124178155698-  , DifficultyVector 2 Nothing 3 1.0-  , DifficultyVector 2 Nothing 4 1.0-  , DifficultyVector 2 (Just 1.0) 1 1.5042458491001744-  , DifficultyVector 2 (Just 1.0) 2 1.1172835591001746-  , DifficultyVector 2 (Just 1.0) 3 1.0-  , DifficultyVector 2 (Just 1.0) 4 1.0-  , DifficultyVector 2 (Just 2.5) 1 2.8602584191001745-  , DifficultyVector 2 (Just 2.5) 2 2.5377898441001747-  , DifficultyVector 2 (Just 2.5) 3 2.215321269100175-  , DifficultyVector 2 (Just 2.5) 4 1.8928526941001744-  , DifficultyVector 2 (Just 4.194588083372719) 1 4.392180247117252-  , DifficultyVector 2 (Just 4.194588083372719) 2 4.142571859378209-  , DifficultyVector 2 (Just 4.194588083372719) 3 3.892963471639167-  , DifficultyVector 2 (Just 4.194588083372719) 4 3.643355083900124-  , DifficultyVector 2 (Just 7.0) 1 6.928296129100175-  , DifficultyVector 2 (Just 7.0) 2 6.799308699100174-  , DifficultyVector 2 (Just 7.0) 3 6.6703212691001745-  , DifficultyVector 2 (Just 7.0) 4 6.541333839100175-  , DifficultyVector 2 (Just 10.0) 1 9.640321269100175-  , DifficultyVector 2 (Just 10.0) 2 9.640321269100175-  , DifficultyVector 2 (Just 10.0) 3 9.640321269100175-  , DifficultyVector 2 (Just 10.0) 4 9.640321269100175-  ]---- | One half of the stability update, before the two are blended.-data HalfStabilityVector = HalfStabilityVector-  { hsParams :: !Int-  , hsLongTerm :: !Bool-    -- ^ 'True' for the long-term block, 'False' for the short-term one.-  , hsStability :: !Double-  , hsDifficulty :: !Double-  , hsRetrievability :: !Double-  , hsRating :: !Int-  , hsNextStability :: !Double-  }-  deriving stock (Eq, Show)--goldenHalfStabilityVectors :: [HalfStabilityVector]-goldenHalfStabilityVectors =-  [ HalfStabilityVector 0 True 0.01 1.0 0.05 1 0.00287539614361996-  , HalfStabilityVector 0 False 0.01 1.0 0.05 1 0.008457926427604777-  , HalfStabilityVector 0 True 0.01 1.0 0.05 2 0.8312175079505889-  , HalfStabilityVector 0 False 0.01 1.0 0.05 2 3.634419609530054-  , HalfStabilityVector 0 True 0.01 1.0 0.05 3 1.2495735969065493-  , HalfStabilityVector 0 False 0.01 1.0 0.05 3 6.489119788219617-  , HalfStabilityVector 0 True 0.01 1.0 0.05 4 1.6214456759785143-  , HalfStabilityVector 0 False 0.01 1.0 0.05 4 8.432855724685503-  , HalfStabilityVector 0 True 0.01 1.0 0.5 1 0.0027617663415225664-  , HalfStabilityVector 0 False 0.01 1.0 0.5 1 0.00257672455606105-  , HalfStabilityVector 0 True 0.01 1.0 0.5 2 0.3154085317282906-  , HalfStabilityVector 0 False 0.01 1.0 0.5 2 0.6319216021560662-  , HalfStabilityVector 0 True 0.01 1.0 0.5 3 0.4709940101559103-  , HalfStabilityVector 0 False 0.01 1.0 0.5 3 1.121765466850315-  , HalfStabilityVector 0 True 0.01 1.0 0.5 4 0.6092922132026835-  , HalfStabilityVector 0 False 0.01 1.0 0.5 4 1.4552951069054094-  , HalfStabilityVector 0 True 0.01 1.0 1.0 1 0.0026407697690489216-  , HalfStabilityVector 0 False 0.01 1.0 1.0 1 0.0006878868205852286-  , HalfStabilityVector 0 True 0.01 1.0 1.0 2 0.01-  , HalfStabilityVector 0 False 0.01 1.0 1.0 2 0.01-  , HalfStabilityVector 0 True 0.01 1.0 1.0 3 0.01-  , HalfStabilityVector 0 False 0.01 1.0 1.0 3 0.01-  , HalfStabilityVector 0 True 0.01 1.0 1.0 4 0.01-  , HalfStabilityVector 0 False 0.01 1.0 1.0 4 0.01-  , HalfStabilityVector 0 True 0.01 4.194588083372719 0.05 1 0.0028552655688472766-  , HalfStabilityVector 0 False 0.01 4.194588083372719 0.05 1 0.008329158514656381-  , HalfStabilityVector 0 True 0.01 4.194588083372719 0.05 2 0.5688723414749896-  , HalfStabilityVector 0 False 0.01 4.194588083372719 0.05 2 2.4765668401553422-  , HalfStabilityVector 0 True 0.01 4.194588083372719 0.05 3 0.8535808927924372-  , HalfStabilityVector 0 False 0.01 4.194588083372719 0.05 3 4.419307901600541-  , HalfStabilityVector 0 True 0.01 4.194588083372719 0.05 4 1.1066551606301684-  , HalfStabilityVector 0 False 0.01 4.194588083372719 0.05 4 5.7421002720807035-  , HalfStabilityVector 0 True 0.01 4.194588083372719 0.5 1 0.0027424312860847063-  , HalfStabilityVector 0 False 0.01 4.194588083372719 0.5 1 0.0025374951484554284-  , HalfStabilityVector 0 True 0.01 4.194588083372719 0.5 2 0.21784308612633496-  , HalfStabilityVector 0 False 0.01 4.194588083372719 0.5 2 0.4332432682520823-  , HalfStabilityVector 0 True 0.01 4.194588083372719 0.5 3 0.3237254130208829-  , HalfStabilityVector 0 False 0.01 4.194588083372719 0.5 3 0.7666021956597825-  , HalfStabilityVector 0 True 0.01 4.194588083372719 0.5 4 0.41784303692714786-  , HalfStabilityVector 0 False 0.01 4.194588083372719 0.5 4 0.9935828543577173-  , HalfStabilityVector 0 True 0.01 4.194588083372719 1.0 1 0.0026222818075166522-  , HalfStabilityVector 0 False 0.01 4.194588083372719 1.0 1 0.0006774140704390025-  , HalfStabilityVector 0 True 0.01 4.194588083372719 1.0 2 0.01-  , HalfStabilityVector 0 False 0.01 4.194588083372719 1.0 2 0.01-  , HalfStabilityVector 0 True 0.01 4.194588083372719 1.0 3 0.01-  , HalfStabilityVector 0 False 0.01 4.194588083372719 1.0 3 0.01-  , HalfStabilityVector 0 True 0.01 4.194588083372719 1.0 4 0.01-  , HalfStabilityVector 0 False 0.01 4.194588083372719 1.0 4 0.01-  , HalfStabilityVector 0 True 0.01 10.0 0.05 1 0.0028431363371105457-  , HalfStabilityVector 0 False 0.01 10.0 0.05 1 0.008252088996248524-  , HalfStabilityVector 0 True 0.01 10.0 0.05 2 0.09212175079505888-  , HalfStabilityVector 0 False 0.01 10.0 0.05 2 0.37244196095300536-  , HalfStabilityVector 0 True 0.01 10.0 0.05 3 0.13395735969065492-  , HalfStabilityVector 0 False 0.01 10.0 0.05 3 0.6579119788219617-  , HalfStabilityVector 0 True 0.01 10.0 0.05 4 0.17114456759785143-  , HalfStabilityVector 0 False 0.01 10.0 0.05 4 0.8522855724685503-  , HalfStabilityVector 0 True 0.01 10.0 0.5 1 0.002730781376894504-  , HalfStabilityVector 0 False 0.01 10.0 0.5 1 0.0025140157623074026-  , HalfStabilityVector 0 True 0.01 10.0 0.5 2 0.040540853172829065-  , HalfStabilityVector 0 False 0.01 10.0 0.5 2 0.07219216021560662-  , HalfStabilityVector 0 True 0.01 10.0 0.5 3 0.056099401015591036-  , HalfStabilityVector 0 False 0.01 10.0 0.5 3 0.1211765466850315-  , HalfStabilityVector 0 True 0.01 10.0 0.5 4 0.06992922132026835-  , HalfStabilityVector 0 False 0.01 10.0 0.5 4 0.15452951069054094-  , HalfStabilityVector 0 True 0.01 10.0 1.0 1 0.0026111422959877043-  , HalfStabilityVector 0 False 0.01 10.0 1.0 1 0.000671145973118058-  , HalfStabilityVector 0 True 0.01 10.0 1.0 2 0.01-  , HalfStabilityVector 0 False 0.01 10.0 1.0 2 0.01-  , HalfStabilityVector 0 True 0.01 10.0 1.0 3 0.01-  , HalfStabilityVector 0 False 0.01 10.0 1.0 3 0.01-  , HalfStabilityVector 0 True 0.01 10.0 1.0 4 0.01-  , HalfStabilityVector 0 False 0.01 10.0 1.0 4 0.01-  , HalfStabilityVector 0 True 1.0 1.0 0.05 1 0.2617448884635849-  , HalfStabilityVector 0 False 1.0 1.0 0.05 1 0.6375484000895719-  , HalfStabilityVector 0 True 1.0 1.0 0.05 2 38.744893102401065-  , HalfStabilityVector 0 False 1.0 1.0 0.05 2 89.07212425705278-  , HalfStabilityVector 0 True 1.0 1.0 0.05 3 57.97342355079406-  , HalfStabilityVector 0 False 1.0 1.0 0.05 3 158.44033653388055-  , HalfStabilityVector 0 True 1.0 1.0 0.05 4 75.06545061603228-  , HalfStabilityVector 0 False 1.0 1.0 0.05 4 205.67243749404471-  , HalfStabilityVector 0 True 1.0 1.0 0.5 1 0.25140126331053797-  , HalfStabilityVector 0 False 1.0 1.0 0.5 1 0.19423042187108028-  , HalfStabilityVector 0 True 1.0 1.0 0.5 2 15.037221894371966-  , HalfStabilityVector 0 False 1.0 1.0 0.5 2 16.112476623625945-  , HalfStabilityVector 0 True 1.0 1.0 0.5 3 22.188259463202968-  , HalfStabilityVector 0 False 1.0 1.0 0.5 3 28.015510589249097-  , HalfStabilityVector 0 True 1.0 1.0 0.5 4 28.54473730216386-  , HalfStabilityVector 0 False 1.0 1.0 0.5 4 36.12016376602383-  , HalfStabilityVector 0 True 1.0 1.0 1.0 1 0.24038704725656526-  , HalfStabilityVector 0 False 1.0 1.0 1.0 1 0.05185208758442845-  , HalfStabilityVector 0 True 1.0 1.0 1.0 2 1.0-  , HalfStabilityVector 0 False 1.0 1.0 1.0 2 1.0-  , HalfStabilityVector 0 True 1.0 1.0 1.0 3 1.0-  , HalfStabilityVector 0 False 1.0 1.0 1.0 3 1.0-  , HalfStabilityVector 0 True 1.0 1.0 1.0 4 1.0-  , HalfStabilityVector 0 False 1.0 1.0 1.0 4 1.0-  , HalfStabilityVector 0 True 1.0 4.194588083372719 0.05 1 0.25991241920181896-  , HalfStabilityVector 0 False 1.0 4.194588083372719 0.05 1 0.6278420284882321-  , HalfStabilityVector 0 True 1.0 4.194588083372719 0.05 2 26.686954531090308-  , HalfStabilityVector 0 False 1.0 4.194588083372719 0.05 2 60.93670839416256-  , HalfStabilityVector 0 True 1.0 4.194588083372719 0.05 3 39.77276155636273-  , HalfStabilityVector 0 False 1.0 4.194588083372719 0.05 3 108.14463424054802-  , HalfStabilityVector 0 True 1.0 4.194588083372719 0.05 4 51.40459002327155-  , HalfStabilityVector 0 False 1.0 4.194588083372719 0.05 4 140.2880245127124-  , HalfStabilityVector 0 True 1.0 4.194588083372719 0.5 1 0.24964120950360458-  , HalfStabilityVector 0 False 1.0 4.194588083372719 0.5 1 0.19127335594369213-  , HalfStabilityVector 0 True 1.0 4.194588083372719 0.5 2 10.552907715630036-  , HalfStabilityVector 0 False 1.0 4.194588083372719 0.5 2 11.284662850417522-  , HalfStabilityVector 0 True 1.0 4.194588083372719 0.5 3 15.419483344347224-  , HalfStabilityVector 0 False 1.0 4.194588083372719 0.5 3 19.38516776978463-  , HalfStabilityVector 0 True 1.0 4.194588083372719 0.5 4 19.74532834765139-  , HalfStabilityVector 0 False 1.0 4.194588083372719 0.5 4 24.90071810072002-  , HalfStabilityVector 0 True 1.0 4.194588083372719 1.0 1 0.23870410369419032-  , HalfStabilityVector 0 False 1.0 4.194588083372719 1.0 1 0.05106266417699935-  , HalfStabilityVector 0 True 1.0 4.194588083372719 1.0 2 1.0-  , HalfStabilityVector 0 False 1.0 4.194588083372719 1.0 2 1.0-  , HalfStabilityVector 0 True 1.0 4.194588083372719 1.0 3 1.0-  , HalfStabilityVector 0 False 1.0 4.194588083372719 1.0 3 1.0-  , HalfStabilityVector 0 True 1.0 4.194588083372719 1.0 4 1.0-  , HalfStabilityVector 0 False 1.0 4.194588083372719 1.0 4 1.0-  , HalfStabilityVector 0 True 1.0 10.0 0.05 1 0.2588083054555709-  , HalfStabilityVector 0 False 1.0 10.0 0.05 1 0.6220326201684536-  , HalfStabilityVector 0 True 1.0 10.0 0.05 2 4.7744893102401065-  , HalfStabilityVector 0 False 1.0 10.0 0.05 2 9.807212425705277-  , HalfStabilityVector 0 True 1.0 10.0 0.05 3 6.697342355079406-  , HalfStabilityVector 0 False 1.0 10.0 0.05 3 16.744033653388055-  , HalfStabilityVector 0 True 1.0 10.0 0.05 4 8.406545061603229-  , HalfStabilityVector 0 False 1.0 10.0 0.05 4 21.46724374940447-  , HalfStabilityVector 0 True 1.0 10.0 0.5 1 0.24858072808494294-  , HalfStabilityVector 0 False 1.0 10.0 0.5 1 0.18950350783708025-  , HalfStabilityVector 0 True 1.0 10.0 0.5 2 2.4037221894371967-  , HalfStabilityVector 0 False 1.0 10.0 0.5 2 2.5112476623625946-  , HalfStabilityVector 0 True 1.0 10.0 0.5 3 3.118825946320297-  , HalfStabilityVector 0 False 1.0 10.0 0.5 3 3.7015510589249097-  , HalfStabilityVector 0 True 1.0 10.0 0.5 4 3.754473730216386-  , HalfStabilityVector 0 False 1.0 10.0 0.5 4 4.512016376602382-  , HalfStabilityVector 0 True 1.0 10.0 1.0 1 0.23769008334462816-  , HalfStabilityVector 0 False 1.0 10.0 1.0 1 0.05059018248154134-  , HalfStabilityVector 0 True 1.0 10.0 1.0 2 1.0-  , HalfStabilityVector 0 False 1.0 10.0 1.0 2 1.0-  , HalfStabilityVector 0 True 1.0 10.0 1.0 3 1.0-  , HalfStabilityVector 0 False 1.0 10.0 1.0 3 1.0-  , HalfStabilityVector 0 True 1.0 10.0 1.0 4 1.0-  , HalfStabilityVector 0 False 1.0 10.0 1.0 4 1.0-  , HalfStabilityVector 0 True 4.1283 1.0 0.05 1 0.9245562153616427-  , HalfStabilityVector 0 False 4.1283 1.0 0.05 1 1.6819069920331728-  , HalfStabilityVector 0 True 4.1283 1.0 0.05 2 126.78386642337001-  , HalfStabilityVector 0 False 4.1283 1.0 0.05 2 239.3323486572463-  , HalfStabilityVector 0 True 4.1283 1.0 0.05 3 189.26877762018117-  , HalfStabilityVector 0 False 4.1283 1.0 0.05 3 424.5860201595393-  , HalfStabilityVector 0 True 4.1283 1.0 0.05 4 244.8109209062355-  , HalfStabilityVector 0 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151.41421279521114-  , HalfStabilityVector 2 False 1.0 1.0 0.05 2 493.74298943643595-  , HalfStabilityVector 2 True 1.0 1.0 0.05 3 253.77320587509604-  , HalfStabilityVector 2 False 1.0 1.0 0.05 3 511.5764020056907-  , HalfStabilityVector 2 True 1.0 1.0 0.05 4 1758.2778106044325-  , HalfStabilityVector 2 False 1.0 1.0 0.05 4 3324.7635367630974-  , HalfStabilityVector 2 True 1.0 1.0 0.5 1 0.307327167941354-  , HalfStabilityVector 2 False 1.0 1.0 0.5 1 1.0-  , HalfStabilityVector 2 True 1.0 1.0 0.5 2 42.9312959208957-  , HalfStabilityVector 2 False 1.0 1.0 0.5 2 134.01468312730566-  , HalfStabilityVector 2 True 1.0 1.0 0.5 3 71.46613414686298-  , HalfStabilityVector 2 False 1.0 1.0 0.5 3 138.8287662757863-  , HalfStabilityVector 2 True 1.0 1.0 0.5 4 490.8801417921866-  , HalfStabilityVector 2 False 1.0 1.0 0.5 4 898.2412862500369-  , HalfStabilityVector 2 True 1.0 1.0 1.0 1 0.18280104465724897-  , HalfStabilityVector 2 False 1.0 1.0 1.0 1 0.5715613943040697-  , HalfStabilityVector 2 True 1.0 1.0 1.0 2 1.0-  , HalfStabilityVector 2 False 1.0 1.0 1.0 2 1.0-  , HalfStabilityVector 2 True 1.0 1.0 1.0 3 1.0-  , HalfStabilityVector 2 False 1.0 1.0 1.0 3 1.0-  , HalfStabilityVector 2 True 1.0 1.0 1.0 4 1.0-  , HalfStabilityVector 2 False 1.0 1.0 1.0 4 1.0-  , HalfStabilityVector 2 True 1.0 4.194588083372719 0.05 1 0.1479587600452571-  , HalfStabilityVector 2 False 1.0 4.194588083372719 0.05 1 1.0-  , HalfStabilityVector 2 True 1.0 4.194588083372719 0.05 2 103.36306761866416-  , HalfStabilityVector 2 False 1.0 4.194588083372719 0.05 2 336.33190121452714-  , HalfStabilityVector 2 True 1.0 4.194588083372719 0.05 3 173.02257874664596-  , HalfStabilityVector 2 False 1.0 4.194588083372719 0.05 3 348.4682730558208-  , HalfStabilityVector 2 True 1.0 4.194588083372719 0.05 4 1196.8999353112104-  , HalfStabilityVector 2 False 1.0 4.194588083372719 0.05 4 2262.957998113882-  , HalfStabilityVector 2 True 1.0 4.194588083372719 0.5 1 0.09270019133483157-  , HalfStabilityVector 2 False 1.0 4.194588083372719 0.5 1 1.0-  , HalfStabilityVector 2 True 1.0 4.194588083372719 0.5 2 29.53597409396885-  , HalfStabilityVector 2 False 1.0 4.194588083372719 0.5 2 91.52197096409675-  , HalfStabilityVector 2 True 1.0 4.194588083372719 0.5 3 48.95510690417179-  , HalfStabilityVector 2 False 1.0 4.194588083372719 0.5 3 94.79815284672723-  , HalfStabilityVector 2 True 1.0 4.194588083372719 0.5 4 334.3836154671609-  , HalfStabilityVector 2 False 1.0 4.194588083372719 0.5 4 611.609654153599-  , HalfStabilityVector 2 True 1.0 4.194588083372719 1.0 1 0.05513893200345941-  , HalfStabilityVector 2 False 1.0 4.194588083372719 1.0 1 0.35756607171666005-  , HalfStabilityVector 2 True 1.0 4.194588083372719 1.0 2 1.0-  , HalfStabilityVector 2 False 1.0 4.194588083372719 1.0 2 1.0-  , HalfStabilityVector 2 True 1.0 4.194588083372719 1.0 3 1.0-  , HalfStabilityVector 2 False 1.0 4.194588083372719 1.0 3 1.0-  , HalfStabilityVector 2 True 1.0 4.194588083372719 1.0 4 1.0-  , HalfStabilityVector 2 False 1.0 4.194588083372719 1.0 4 1.0-  , HalfStabilityVector 2 True 1.0 10.0 0.05 1 0.07157115180800482-  , HalfStabilityVector 2 False 1.0 10.0 0.05 1 1.0-  , HalfStabilityVector 2 True 1.0 10.0 0.05 2 16.041421279521117-  , HalfStabilityVector 2 False 1.0 10.0 0.05 2 50.27429894364359-  , HalfStabilityVector 2 True 1.0 10.0 0.05 3 26.277320587509603-  , HalfStabilityVector 2 False 1.0 10.0 0.05 3 52.05764020056907-  , HalfStabilityVector 2 True 1.0 10.0 0.05 4 176.72778106044325-  , HalfStabilityVector 2 False 1.0 10.0 0.05 4 333.37635367630975-  , HalfStabilityVector 2 True 1.0 10.0 0.5 1 0.04484127512711607-  , HalfStabilityVector 2 False 1.0 10.0 0.5 1 1.0-  , HalfStabilityVector 2 True 1.0 10.0 0.5 2 5.19312959208957-  , HalfStabilityVector 2 False 1.0 10.0 0.5 2 14.301468312730565-  , HalfStabilityVector 2 True 1.0 10.0 0.5 3 8.046613414686298-  , HalfStabilityVector 2 False 1.0 10.0 0.5 3 14.78287662757863-  , HalfStabilityVector 2 True 1.0 10.0 0.5 4 49.98801417921866-  , HalfStabilityVector 2 False 1.0 10.0 0.5 4 90.72412862500369-  , HalfStabilityVector 2 True 1.0 10.0 1.0 1 0.026672005576038556-  , HalfStabilityVector 2 False 1.0 10.0 1.0 1 0.26910569395088085-  , HalfStabilityVector 2 True 1.0 10.0 1.0 2 1.0-  , HalfStabilityVector 2 False 1.0 10.0 1.0 2 1.0-  , HalfStabilityVector 2 True 1.0 10.0 1.0 3 1.0-  , HalfStabilityVector 2 False 1.0 10.0 1.0 3 1.0-  , HalfStabilityVector 2 True 1.0 10.0 1.0 4 1.0-  , HalfStabilityVector 2 False 1.0 10.0 1.0 4 1.0-  , HalfStabilityVector 2 True 4.1283 1.0 0.05 1 1.3592214337511979-  , HalfStabilityVector 2 False 4.1283 1.0 0.05 1 4.1283-  , HalfStabilityVector 2 True 4.1283 1.0 0.05 2 217.38598378253639-  , HalfStabilityVector 2 False 4.1283 1.0 0.05 2 679.8283372044299-  , HalfStabilityVector 2 True 4.1283 1.0 0.05 3 362.51084514287123-  , HalfStabilityVector 2 False 4.1283 1.0 0.05 3 704.283352891836-  , HalfStabilityVector 2 True 4.1283 1.0 0.05 4 2495.60160353797-  , HalfStabilityVector 2 False 4.1283 1.0 0.05 4 4562.015867346649-  , HalfStabilityVector 2 True 4.1283 1.0 0.5 1 0.8515892329497738-  , HalfStabilityVector 2 False 4.1283 1.0 0.5 1 4.1283-  , HalfStabilityVector 2 True 4.1283 1.0 0.5 2 63.57860645651215-  , HalfStabilityVector 2 False 4.1283 1.0 0.5 2 186.53176035293558-  , HalfStabilityVector 2 True 4.1283 1.0 0.5 3 104.03537842037076-  , HalfStabilityVector 2 False 4.1283 1.0 0.5 3 193.13332796986708-  , HalfStabilityVector 2 True 4.1283 1.0 0.5 4 698.681709735947-  , HalfStabilityVector 2 False 4.1283 1.0 0.5 4 1234.518145208968-  , HalfStabilityVector 2 True 4.1283 1.0 1.0 1 0.5065331595799241-  , HalfStabilityVector 2 False 4.1283 1.0 1.0 1 1.9736119841548887-  , HalfStabilityVector 2 True 4.1283 1.0 1.0 2 4.1283-  , HalfStabilityVector 2 False 4.1283 1.0 1.0 2 4.1283-  , HalfStabilityVector 2 True 4.1283 1.0 1.0 3 4.1283-  , HalfStabilityVector 2 False 4.1283 1.0 1.0 3 4.1283-  , HalfStabilityVector 2 True 4.1283 1.0 1.0 4 4.1283-  , HalfStabilityVector 2 False 4.1283 1.0 1.0 4 4.1283-  , HalfStabilityVector 2 True 4.1283 4.194588083372719 0.05 1 0.4099868157415364-  , HalfStabilityVector 2 False 4.1283 4.194588083372719 0.05 1 4.1283-  , HalfStabilityVector 2 True 4.1283 4.194588083372719 0.05 2 149.25893825260056-  , HalfStabilityVector 2 False 4.1283 4.194588083372719 0.05 2 463.9700085256525-  , HalfStabilityVector 2 True 4.1283 4.194588083372719 0.05 3 248.022384342651-  , HalfStabilityVector 2 False 4.1283 4.194588083372719 0.05 3 480.61265404369044-  , HalfStabilityVector 2 True 4.1283 4.194588083372719 0.05 4 1699.6785109856037-  , HalfStabilityVector 2 False 4.1283 4.194588083372719 0.05 4 3105.9585365468215-  , HalfStabilityVector 2 True 4.1283 4.194588083372719 0.5 1 0.25686790192330394-  , HalfStabilityVector 2 False 4.1283 4.194588083372719 0.5 1 4.1283-  , HalfStabilityVector 2 True 4.1283 4.194588083372719 0.5 2 44.58668240062915-  , HalfStabilityVector 2 False 4.1283 4.194588083372719 0.5 2 128.26136827199196-  , HalfStabilityVector 2 True 4.1283 4.194588083372719 0.5 3 72.11918220374075-  , HalfStabilityVector 2 False 4.1283 4.194588083372719 0.5 3 132.75400696486057-  , HalfStabilityVector 2 True 4.1283 4.194588083372719 0.5 4 476.8005051351125-  , HalfStabilityVector 2 False 4.1283 4.194588083372719 0.5 4 841.4592714682307-  , HalfStabilityVector 2 True 4.1283 4.194588083372719 1.0 1 0.15278740608918798-  , HalfStabilityVector 2 False 4.1283 4.194588083372719 1.0 1 1.234682207895513-  , HalfStabilityVector 2 True 4.1283 4.194588083372719 1.0 2 4.1283-  , HalfStabilityVector 2 False 4.1283 4.194588083372719 1.0 2 4.1283-  , HalfStabilityVector 2 True 4.1283 4.194588083372719 1.0 3 4.1283-  , HalfStabilityVector 2 False 4.1283 4.194588083372719 1.0 3 4.1283-  , HalfStabilityVector 2 True 4.1283 4.194588083372719 1.0 4 4.1283-  , HalfStabilityVector 2 False 4.1283 4.194588083372719 1.0 4 4.1283-  , HalfStabilityVector 2 True 4.1283 10.0 0.05 1 0.19832031993065227-  , HalfStabilityVector 2 False 4.1283 10.0 0.05 1 4.1283-  , HalfStabilityVector 2 True 4.1283 10.0 0.05 2 25.45406837825364-  , HalfStabilityVector 2 False 4.1283 10.0 0.05 2 71.698303720443-  , HalfStabilityVector 2 True 4.1283 10.0 0.05 3 39.966554514287125-  , HalfStabilityVector 2 False 4.1283 10.0 0.05 3 74.14380528918359-  , HalfStabilityVector 2 True 4.1283 10.0 0.05 4 253.275630353797-  , HalfStabilityVector 2 False 4.1283 10.0 0.05 4 459.9170567346648-  , HalfStabilityVector 2 True 4.1283 10.0 0.5 1 0.12425307969283564-  , HalfStabilityVector 2 False 4.1283 10.0 0.5 1 4.1283-  , HalfStabilityVector 2 True 4.1283 10.0 0.5 2 10.073330645651216-  , HalfStabilityVector 2 False 4.1283 10.0 0.5 2 22.368646035293555-  , HalfStabilityVector 2 True 4.1283 10.0 0.5 3 14.119007842037076-  , HalfStabilityVector 2 False 4.1283 10.0 0.5 3 23.028802796986707-  , HalfStabilityVector 2 True 4.1283 10.0 0.5 4 73.58364097359471-  , HalfStabilityVector 2 False 4.1283 10.0 0.5 4 127.16728452089679-  , HalfStabilityVector 2 True 4.1283 10.0 1.0 1 0.07390688210833708-  , HalfStabilityVector 2 False 4.1283 10.0 1.0 1 0.929226899994625-  , HalfStabilityVector 2 True 4.1283 10.0 1.0 2 4.1283-  , HalfStabilityVector 2 False 4.1283 10.0 1.0 2 4.1283-  , HalfStabilityVector 2 True 4.1283 10.0 1.0 3 4.1283-  , HalfStabilityVector 2 False 4.1283 10.0 1.0 3 4.1283-  , HalfStabilityVector 2 True 4.1283 10.0 1.0 4 4.1283-  , HalfStabilityVector 2 False 4.1283 10.0 1.0 4 4.1283-  , HalfStabilityVector 2 True 1000.0 1.0 0.05 1 16.1999120360543-  , HalfStabilityVector 2 False 1000.0 1.0 0.05 1 1000.0-  , HalfStabilityVector 2 True 1000.0 1.0 0.05 2 1824.0467960051703-  , HalfStabilityVector 2 False 1000.0 1.0 0.05 2 3294.70284462841-  , HalfStabilityVector 2 True 1000.0 1.0 0.05 3 2384.822262115112-  , HalfStabilityVector 2 False 1000.0 1.0 0.05 3 3377.7530014635277-  , HalfStabilityVector 2 True 1000.0 1.0 0.05 4 10627.276057290686-  , HalfStabilityVector 2 False 1000.0 1.0 0.05 4 16478.758310505313-  , HalfStabilityVector 2 True 1000.0 1.0 0.5 1 10.14968593201463-  , HalfStabilityVector 2 False 1000.0 1.0 0.5 1 682.9483757192087-  , HalfStabilityVector 2 True 1000.0 1.0 0.5 2 1229.7213103325757-  , HalfStabilityVector 2 False 1000.0 1.0 0.5 2 1619.449039952195-  , HalfStabilityVector 2 True 1000.0 1.0 0.5 3 1386.049901744669-  , HalfStabilityVector 2 False 1000.0 1.0 0.5 3 1641.8682128920898-  , HalfStabilityVector 2 True 1000.0 1.0 0.5 4 3683.816600629527-  , HalfStabilityVector 2 False 1000.0 1.0 0.5 4 5178.450380858463-  , HalfStabilityVector 2 True 1000.0 1.0 1.0 1 6.037127155869641-  , HalfStabilityVector 2 False 1000.0 1.0 1.0 1 122.03876889929109-  , HalfStabilityVector 2 True 1000.0 1.0 1.0 2 1000.0-  , HalfStabilityVector 2 False 1000.0 1.0 1.0 2 1000.0-  , HalfStabilityVector 2 True 1000.0 1.0 1.0 3 1000.0-  , HalfStabilityVector 2 False 1000.0 1.0 1.0 3 1000.0-  , HalfStabilityVector 2 True 1000.0 1.0 1.0 4 1000.0-  , HalfStabilityVector 2 False 1000.0 1.0 1.0 4 1000.0-  , HalfStabilityVector 2 True 1000.0 4.194588083372719 0.05 1 4.886437328040729-  , HalfStabilityVector 2 False 1000.0 4.194588083372719 0.05 1 1000.0-  , HalfStabilityVector 2 True 1000.0 4.194588083372719 0.05 2 1560.7977885392115-  , HalfStabilityVector 2 False 1000.0 4.194588083372719 0.05 2 2561.63980839527-  , HalfStabilityVector 2 True 1000.0 4.194588083372719 0.05 3 1942.428592500893-  , HalfStabilityVector 2 False 1000.0 4.194588083372719 0.05 3 2618.1588610956173-  , HalfStabilityVector 2 True 1000.0 4.194588083372719 0.05 4 7551.757920494653-  , HalfStabilityVector 2 False 1000.0 4.194588083372719 0.05 4 11533.932626090638-  , HalfStabilityVector 2 True 1000.0 4.194588083372719 0.5 1 3.061486018918276-  , HalfStabilityVector 2 False 1000.0 4.194588083372719 0.5 1 427.24923398391303-  , HalfStabilityVector 2 True 1000.0 4.194588083372719 0.5 2 1156.3348142840543-  , HalfStabilityVector 2 False 1000.0 4.194588083372719 0.5 2 1421.5605878233996-  , HalfStabilityVector 2 True 1000.0 4.194588083372719 0.5 3 1262.722860174596-  , HalfStabilityVector 2 False 1000.0 4.194588083372719 0.5 3 1436.8177584920086-  , HalfStabilityVector 2 True 1000.0 4.194588083372719 0.5 4 2826.44774759663-  , HalfStabilityVector 2 False 1000.0 4.194588083372719 0.5 4 3843.6076014929977-  , HalfStabilityVector 2 True 1000.0 4.194588083372719 1.0 1 1.821000226600915-  , HalfStabilityVector 2 False 1000.0 4.194588083372719 1.0 1 76.34686951799625-  , HalfStabilityVector 2 True 1000.0 4.194588083372719 1.0 2 1000.0-  , HalfStabilityVector 2 False 1000.0 4.194588083372719 1.0 2 1000.0-  , HalfStabilityVector 2 True 1000.0 4.194588083372719 1.0 3 1000.0-  , HalfStabilityVector 2 False 1000.0 4.194588083372719 1.0 3 1000.0-  , HalfStabilityVector 2 True 1000.0 4.194588083372719 1.0 4 1000.0-  , HalfStabilityVector 2 False 1000.0 4.194588083372719 1.0 4 1000.0-  , HalfStabilityVector 2 True 1000.0 10.0 0.05 1 2.363685311356562-  , HalfStabilityVector 2 False 1000.0 10.0 0.05 1 1000.0-  , HalfStabilityVector 2 True 1000.0 10.0 0.05 2 1082.404679600517-  , HalfStabilityVector 2 False 1000.0 10.0 0.05 2 1229.470284462841-  , HalfStabilityVector 2 True 1000.0 10.0 0.05 3 1138.482226211511-  , HalfStabilityVector 2 False 1000.0 10.0 0.05 3 1237.7753001463527-  , HalfStabilityVector 2 True 1000.0 10.0 0.05 4 1962.7276057290683-  , HalfStabilityVector 2 False 1000.0 10.0 0.05 4 2547.875831050531-  , HalfStabilityVector 2 True 1000.0 10.0 0.5 1 1.480913198725526-  , HalfStabilityVector 2 False 1000.0 10.0 0.5 1 321.5495280333281-  , HalfStabilityVector 2 True 1000.0 10.0 0.5 2 1022.9721310332576-  , HalfStabilityVector 2 False 1000.0 10.0 0.5 2 1061.9449039952196-  , HalfStabilityVector 2 True 1000.0 10.0 0.5 3 1038.604990174467-  , HalfStabilityVector 2 False 1000.0 10.0 0.5 3 1064.1868212892089-  , HalfStabilityVector 2 True 1000.0 10.0 0.5 4 1268.3816600629525-  , HalfStabilityVector 2 False 1000.0 10.0 0.5 4 1417.8450380858462-  , HalfStabilityVector 2 True 1000.0 10.0 1.0 1 0.8808608805629355-  , HalfStabilityVector 2 False 1000.0 10.0 1.0 1 57.458967524464-  , HalfStabilityVector 2 True 1000.0 10.0 1.0 2 1000.0-  , HalfStabilityVector 2 False 1000.0 10.0 1.0 2 1000.0-  , HalfStabilityVector 2 True 1000.0 10.0 1.0 3 1000.0-  , HalfStabilityVector 2 False 1000.0 10.0 1.0 3 1000.0-  , HalfStabilityVector 2 True 1000.0 10.0 1.0 4 1000.0-  , HalfStabilityVector 2 False 1000.0 10.0 1.0 4 1000.0-  ]---- | The long-\/short-term blending coefficient.-data TransitionVector = TransitionVector-  { tvParams :: !Int-  , tvElapsedDays :: !Double-  , tvCoefficient :: !Double-  }-  deriving stock (Eq, Show)--goldenTransitionVectors :: [TransitionVector]-goldenTransitionVectors =-  [ TransitionVector 0 0.0 0.0-  , TransitionVector 0 1.1574074074074073e-5 2.8934766566734993e-5-  , TransitionVector 0 0.0006944444444444445 0.0017346049419677545-  , TransitionVector 0 0.006944444444444444 0.0172112753795709-  , TransitionVector 0 0.25 0.4647385714810097-  , TransitionVector 0 1.0 0.9179150013761012-  , TransitionVector 0 3.0 0.9994469156298522-  , TransitionVector 0 7.5 0.9999999928058669-  , TransitionVector 0 30.0 1.0-  , TransitionVector 0 365.0 1.0-  , TransitionVector 0 3650.0 1.0-  , TransitionVector 1 0.0 0.410307-  , TransitionVector 1 1.1574074074074073e-5 0.4103913084279295-  , TransitionVector 1 0.0006944444444444445 0.41534422969275386-  , TransitionVector 1 0.006944444444444444 0.45878646256833155-  , TransitionVector 1 0.25 0.9731241379424495-  , TransitionVector 1 1.0 0.9999974556802093-  , TransitionVector 1 3.0 1.0-  , TransitionVector 1 7.5 1.0-  , TransitionVector 1 30.0 1.0-  , TransitionVector 1 365.0 1.0-  , TransitionVector 1 3650.0 1.0-  , TransitionVector 2 0.0 0.561569-  , TransitionVector 2 1.1574074074074073e-5 0.5615970916424434-  , TransitionVector 2 0.0006944444444444445 0.5632513166324914-  , TransitionVector 2 0.006944444444444444 0.5781046317970904-  , TransitionVector 2 0.25 0.8901430906590875-  , TransitionVector 2 1.0 0.9982717532681704-  , TransitionVector 2 3.0 0.999999973145645-  , TransitionVector 2 7.5 1.0-  , TransitionVector 2 30.0 1.0-  , TransitionVector 2 365.0 1.0-  , TransitionVector 2 3650.0 1.0-  ]---- | A full memory-state transition.-data StepVector = StepVector-  { svParams :: !Int-  , svState :: !(Maybe (Double, Double))-    -- ^ @(stability, difficulty)@; 'Nothing' for the first review.-  , svElapsedDays :: !Double-  , svRating :: !Int-  , svNextState :: !(Double, Double)-  }-  deriving stock (Eq, Show)--goldenStepVectors :: [StepVector]-goldenStepVectors =-  [ StepVector 0 Nothing 0.0 1 (0.041, 5.6385)-  , StepVector 0 Nothing 0.0 2 (2.4175, 5.075198392303237)-  , StepVector 0 Nothing 0.0 3 (4.1283, 4.194588083372719)-  , StepVector 0 Nothing 0.0 4 (11.9709, 2.817928571667297)-  , StepVector 0 (Just (0.0001, 1.0)) 0.0 1 (0.0001, 7.476939285716673)-  , StepVector 0 (Just (0.0001, 1.0)) 0.0 2 (0.0001, 4.247559285716673)-  , StepVector 0 (Just (0.0001, 1.0)) 0.0 3 (0.0001, 1.018179285716673)-  , StepVector 0 (Just (0.0001, 1.0)) 0.0 4 (0.0001, 1.0)-  , StepVector 0 (Just (0.0001, 1.0)) 0.006944444444444444 1 (0.0001, 7.476939285716673)-  , StepVector 0 (Just (0.0001, 1.0)) 0.006944444444444444 2 (0.042815393880189796, 4.247559285716673)-  , StepVector 0 (Just (0.0001, 1.0)) 0.006944444444444444 3 (0.0764154303138622, 1.018179285716673)-  , StepVector 0 (Just (0.0001, 1.0)) 0.006944444444444444 4 (0.09931005940802089, 1.0)-  , StepVector 0 (Just (0.0001, 1.0)) 0.5 1 (0.0001, 7.476939285716673)-  , StepVector 0 (Just (0.0001, 1.0)) 0.5 2 (0.02687991895595657, 4.247559285716673)-  , StepVector 0 (Just (0.0001, 1.0)) 0.5 3 (0.045684811910156525, 1.018179285716673)-  , StepVector 0 (Just (0.0001, 1.0)) 0.5 4 (0.05936025548320348, 1.0)-  , StepVector 0 (Just (0.0001, 1.0)) 1.0 1 (0.0001, 7.476939285716673)-  , StepVector 0 (Just (0.0001, 1.0)) 1.0 2 (0.01659503714401098, 4.247559285716673)-  , StepVector 0 (Just (0.0001, 1.0)) 1.0 3 (0.026557084707377977, 1.018179285716673)-  , StepVector 0 (Just (0.0001, 1.0)) 1.0 4 (0.03449421011959137, 1.0)-  , StepVector 0 (Just (0.0001, 1.0)) 45.0 1 (0.0001, 7.476939285716673)-  , StepVector 0 (Just (0.0001, 1.0)) 45.0 2 (0.013623815415699077, 4.247559285716673)-  , StepVector 0 (Just (0.0001, 1.0)) 45.0 3 (0.02051330628784766, 1.018179285716673)-  , StepVector 0 (Just (0.0001, 1.0)) 45.0 4 (0.02663729817420196, 1.0)-  , StepVector 0 (Just (0.0001, 1.0)) 400.0 1 (0.0001, 7.476939285716673)-  , StepVector 0 (Just (0.0001, 1.0)) 400.0 2 (0.014428231476499855, 4.247559285716673)-  , StepVector 0 (Just (0.0001, 1.0)) 400.0 3 (0.021727519209811103, 1.018179285716673)-  , StepVector 0 (Just (0.0001, 1.0)) 400.0 4 (0.028215774972754435, 1.0)-  , StepVector 0 (Just (0.0001, 4.194588083372719)) 0.0 1 (0.0001, 8.347017296104067)-  , StepVector 0 (Just (0.0001, 4.194588083372719)) 0.0 2 (0.0001, 6.263919392179866)-  , StepVector 0 (Just (0.0001, 4.194588083372719)) 0.0 3 (0.0001, 4.180821488255665)-  , 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(8.62028065329838, 1.1172835591001746)-  , StepVector 2 (Just (0.0001, 1.0)) 0.006944444444444444 3 (10.368005059871361, 1.0)-  , StepVector 2 (Just (0.0001, 1.0)) 0.006944444444444444 4 (69.1491388215093, 1.0)-  , StepVector 2 (Just (0.0001, 1.0)) 0.5 1 (0.0001, 1.5042458491001744)-  , StepVector 2 (Just (0.0001, 1.0)) 0.5 2 (4.7876074677538565, 1.1172835591001746)-  , StepVector 2 (Just (0.0001, 1.0)) 0.5 3 (7.735999636785466, 1.0)-  , StepVector 2 (Just (0.0001, 1.0)) 0.5 4 (53.55989271881453, 1.0)-  , StepVector 2 (Just (0.0001, 1.0)) 1.0 1 (0.0001, 1.5042458491001744)-  , StepVector 2 (Just (0.0001, 1.0)) 1.0 2 (4.544624683421755, 1.1172835591001746)-  , StepVector 2 (Just (0.0001, 1.0)) 1.0 3 (7.617386986108458, 1.0)-  , StepVector 2 (Just (0.0001, 1.0)) 1.0 4 (52.94131769091274, 1.0)-  , StepVector 2 (Just (0.0001, 1.0)) 45.0 1 (0.0001, 1.5042458491001744)-  , StepVector 2 (Just (0.0001, 1.0)) 45.0 2 (5.028925054459579, 1.1172835591001746)-  , StepVector 2 (Just (0.0001, 1.0)) 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(0.0001, 9.640321269100175)-  , StepVector 2 (Just (0.0001, 10.0)) 0.006944444444444444 1 (0.0001, 9.640321269100175)-  , StepVector 2 (Just (0.0001, 10.0)) 0.006944444444444444 2 (0.8621180653298379, 9.640321269100175)-  , StepVector 2 (Just (0.0001, 10.0)) 0.006944444444444444 3 (1.036890505987136, 9.640321269100175)-  , StepVector 2 (Just (0.0001, 10.0)) 0.006944444444444444 4 (6.9150038821509305, 9.640321269100175)-  , StepVector 2 (Just (0.0001, 10.0)) 0.5 1 (0.0001, 9.640321269100175)-  , StepVector 2 (Just (0.0001, 10.0)) 0.5 2 (0.4788507467753858, 9.640321269100175)-  , StepVector 2 (Just (0.0001, 10.0)) 0.5 3 (0.7736899636785466, 9.640321269100175)-  , StepVector 2 (Just (0.0001, 10.0)) 0.5 4 (5.356079271881453, 9.640321269100175)-  , StepVector 2 (Just (0.0001, 10.0)) 1.0 1 (0.0001, 9.640321269100175)-  , StepVector 2 (Just (0.0001, 10.0)) 1.0 2 (0.45455246834217555, 9.640321269100175)-  , StepVector 2 (Just (0.0001, 10.0)) 1.0 3 (0.7618286986108458, 9.640321269100175)-  , StepVector 2 (Just (0.0001, 10.0)) 1.0 4 (5.2942217690912745, 9.640321269100175)-  , StepVector 2 (Just (0.0001, 10.0)) 45.0 1 (0.0001, 9.640321269100175)-  , StepVector 2 (Just (0.0001, 10.0)) 45.0 2 (0.5029825054459579, 9.640321269100175)-  , StepVector 2 (Just (0.0001, 10.0)) 45.0 3 (0.84520114249072, 9.640321269100175)-  , StepVector 2 (Just (0.0001, 10.0)) 45.0 4 (5.875238071988631, 9.640321269100175)-  , StepVector 2 (Just (0.0001, 10.0)) 400.0 1 (0.0001, 9.640321269100175)-  , StepVector 2 (Just (0.0001, 10.0)) 400.0 2 (0.5320285386674042, 9.640321269100175)-  , StepVector 2 (Just (0.0001, 10.0)) 400.0 3 (0.8940134109519173, 9.640321269100175)-  , StepVector 2 (Just (0.0001, 10.0)) 400.0 4 (6.214580669457264, 9.640321269100175)-  , StepVector 2 (Just (1.0, 1.0)) 0.0 1 (0.3532456335132542, 1.5042458491001744)-  , StepVector 2 (Just (1.0, 1.0)) 0.0 2 (1.0, 1.1172835591001746)-  , StepVector 2 (Just (1.0, 1.0)) 0.0 3 (1.0, 1.0)-  , StepVector 2 (Just (1.0, 1.0)) 0.0 4 (1.0, 1.0)-  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4.392180247117252)-  , StepVector 2 (Just (1.0, 4.194588083372719)) 0.006944444444444444 2 (13.390798974178896, 4.142571859378209)-  , StepVector 2 (Just (1.0, 4.194588083372719)) 0.006944444444444444 3 (16.2803528014948, 3.892963471639167)-  , StepVector 2 (Just (1.0, 4.194588083372719)) 0.006944444444444444 4 (103.28766161473068, 3.643355083900124)-  , StepVector 2 (Just (1.0, 4.194588083372719)) 0.5 1 (0.10577604029541765, 4.392180247117252)-  , StepVector 2 (Just (1.0, 4.194588083372719)) 0.5 2 (19.417454933367615, 4.142571859378209)-  , StepVector 2 (Just (1.0, 4.194588083372719)) 0.5 3 (30.980684333139628, 3.892963471639167)-  , StepVector 2 (Just (1.0, 4.194588083372719)) 0.5 4 (208.7357030872054, 3.643355083900124)-  , StepVector 2 (Just (1.0, 4.194588083372719)) 1.0 1 (0.0867904520426487, 4.392180247117252)-  , StepVector 2 (Just (1.0, 4.194588083372719)) 1.0 2 (22.576382248268914, 4.142571859378209)-  , StepVector 2 (Just (1.0, 4.194588083372719)) 1.0 3 (37.18387187496958, 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(Just (1.0, 10.0)) 1.0 2 (4.170474103933746, 9.640321269100175)-  , StepVector 2 (Just (1.0, 10.0)) 1.0 3 (6.316926046249098, 9.640321269100175)-  , StepVector 2 (Just (1.0, 10.0)) 1.0 4 (37.95534458848565, 9.640321269100175)-  , StepVector 2 (Just (1.0, 10.0)) 45.0 1 (0.05150650091647976, 9.640321269100175)-  , StepVector 2 (Just (1.0, 10.0)) 45.0 2 (7.362284942111141, 9.640321269100175)-  , StepVector 2 (Just (1.0, 10.0)) 45.0 3 (11.691909571722897, 9.640321269100175)-  , StepVector 2 (Just (1.0, 10.0)) 45.0 4 (75.33009119116015, 9.640321269100175)-  , StepVector 2 (Just (1.0, 10.0)) 400.0 1 (0.054923520219093705, 9.640321269100175)-  , StepVector 2 (Just (1.0, 10.0)) 400.0 2 (8.610188063654348, 9.640321269100175)-  , StepVector 2 (Just (1.0, 10.0)) 400.0 3 (13.789028366497183, 9.640321269100175)-  , StepVector 2 (Just (1.0, 10.0)) 400.0 4 (89.90924846971822, 9.640321269100175)-  , StepVector 2 (Just (4.1283, 1.0)) 0.0 1 (1.1497459957171503, 1.5042458491001744)-  , StepVector 2 (Just 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StepVector 2 (Just (36500.0, 1.0)) 45.0 2 (36500.0, 1.1172835591001746)-  , StepVector 2 (Just (36500.0, 1.0)) 45.0 3 (36500.0, 1.0)-  , StepVector 2 (Just (36500.0, 1.0)) 45.0 4 (36500.0, 1.0)-  , StepVector 2 (Just (36500.0, 1.0)) 400.0 1 (21.261717622500864, 1.5042458491001744)-  , StepVector 2 (Just (36500.0, 1.0)) 400.0 2 (36500.0, 1.1172835591001746)-  , StepVector 2 (Just (36500.0, 1.0)) 400.0 3 (36500.0, 1.0)-  , StepVector 2 (Just (36500.0, 1.0)) 400.0 4 (36500.0, 1.0)-  , StepVector 2 (Just (36500.0, 4.194588083372719)) 0.0 1 (440.5412488204074, 4.392180247117252)-  , StepVector 2 (Just (36500.0, 4.194588083372719)) 0.0 2 (36500.0, 4.142571859378209)-  , StepVector 2 (Just (36500.0, 4.194588083372719)) 0.0 3 (36500.0, 3.892963471639167)-  , StepVector 2 (Just (36500.0, 4.194588083372719)) 0.0 4 (36500.0, 3.643355083900124)-  , StepVector 2 (Just (36500.0, 4.194588083372719)) 0.006944444444444444 1 (425.1509580675626, 4.392180247117252)-  , StepVector 2 (Just (36500.0, 4.194588083372719)) 0.006944444444444444 2 (36500.0, 4.142571859378209)-  , StepVector 2 (Just (36500.0, 4.194588083372719)) 0.006944444444444444 3 (36500.0, 3.892963471639167)-  , StepVector 2 (Just (36500.0, 4.194588083372719)) 0.006944444444444444 4 (36500.0, 3.643355083900124)-  , StepVector 2 (Just (36500.0, 4.194588083372719)) 0.5 1 (33.63699546233535, 4.392180247117252)-  , StepVector 2 (Just (36500.0, 4.194588083372719)) 0.5 2 (36500.0, 4.142571859378209)-  , StepVector 2 (Just (36500.0, 4.194588083372719)) 0.5 3 (36500.0, 3.892963471639167)-  , StepVector 2 (Just (36500.0, 4.194588083372719)) 0.5 4 (36500.0, 3.643355083900124)-  , StepVector 2 (Just (36500.0, 4.194588083372719)) 1.0 1 (8.007431778493624, 4.392180247117252)-  , StepVector 2 (Just (36500.0, 4.194588083372719)) 1.0 2 (36500.0, 4.142571859378209)-  , StepVector 2 (Just (36500.0, 4.194588083372719)) 1.0 3 (36500.0, 3.892963471639167)-  , StepVector 2 (Just (36500.0, 4.194588083372719)) 1.0 4 (36500.0, 3.643355083900124)-  , StepVector 2 (Just (36500.0, 4.194588083372719)) 45.0 1 (6.304903828209203, 4.392180247117252)-  , StepVector 2 (Just (36500.0, 4.194588083372719)) 45.0 2 (36500.0, 4.142571859378209)-  , StepVector 2 (Just (36500.0, 4.194588083372719)) 45.0 3 (36500.0, 3.892963471639167)-  , StepVector 2 (Just (36500.0, 4.194588083372719)) 45.0 4 (36500.0, 3.643355083900124)-  , StepVector 2 (Just (36500.0, 4.194588083372719)) 400.0 1 (6.413247826137848, 4.392180247117252)-  , StepVector 2 (Just (36500.0, 4.194588083372719)) 400.0 2 (36500.0, 4.142571859378209)-  , StepVector 2 (Just (36500.0, 4.194588083372719)) 400.0 3 (36500.0, 3.892963471639167)-  , StepVector 2 (Just (36500.0, 4.194588083372719)) 400.0 4 (36500.0, 3.643355083900124)-  , StepVector 2 (Just (36500.0, 10.0)) 0.0 1 (330.60428380490436, 9.640321269100175)-  , StepVector 2 (Just (36500.0, 10.0)) 0.0 2 (36500.0, 9.640321269100175)-  , StepVector 2 (Just (36500.0, 10.0)) 0.0 3 (36500.0, 9.640321269100175)-  , StepVector 2 (Just (36500.0, 10.0)) 0.0 4 (36500.0, 9.640321269100175)-  , StepVector 2 (Just (36500.0, 10.0)) 0.006944444444444444 1 (318.9928580228448, 9.640321269100175)-  , StepVector 2 (Just (36500.0, 10.0)) 0.006944444444444444 2 (36500.0, 9.640321269100175)-  , StepVector 2 (Just (36500.0, 10.0)) 0.006944444444444444 3 (36500.0, 9.640321269100175)-  , StepVector 2 (Just (36500.0, 10.0)) 0.006944444444444444 4 (36500.0, 9.640321269100175)-  , StepVector 2 (Just (36500.0, 10.0)) 0.5 1 (23.670683890481016, 9.640321269100175)-  , StepVector 2 (Just (36500.0, 10.0)) 0.5 2 (36500.0, 9.640321269100175)-  , StepVector 2 (Just (36500.0, 10.0)) 0.5 3 (36500.0, 9.640321269100175)-  , StepVector 2 (Just (36500.0, 10.0)) 0.5 4 (36500.0, 9.640321269100175)-  , StepVector 2 (Just (36500.0, 10.0)) 1.0 1 (4.338049711119281, 9.640321269100175)-  , StepVector 2 (Just (36500.0, 10.0)) 1.0 2 (36500.0, 9.640321269100175)-  , StepVector 2 (Just (36500.0, 10.0)) 1.0 3 (36500.0, 9.640321269100175)-  , StepVector 2 (Just (36500.0, 10.0)) 1.0 4 (36500.0, 9.640321269100175)-  , StepVector 2 (Just (36500.0, 10.0)) 45.0 1 (3.0498311075708195, 9.640321269100175)-  , StepVector 2 (Just (36500.0, 10.0)) 45.0 2 (36500.0, 9.640321269100175)-  , StepVector 2 (Just (36500.0, 10.0)) 45.0 3 (36500.0, 9.640321269100175)-  , StepVector 2 (Just (36500.0, 10.0)) 45.0 4 (36500.0, 9.640321269100175)-  , StepVector 2 (Just (36500.0, 10.0)) 400.0 1 (3.102239661960336, 9.640321269100175)-  , StepVector 2 (Just (36500.0, 10.0)) 400.0 2 (36500.0, 9.640321269100175)-  , StepVector 2 (Just (36500.0, 10.0)) 400.0 3 (36500.0, 9.640321269100175)-  , StepVector 2 (Just (36500.0, 10.0)) 400.0 4 (36500.0, 9.640321269100175)-  ]---- | The interval that lands exactly on the desired retention.-data IntervalVector = IntervalVector-  { ivParams :: !Int-  , ivDesiredRetention :: !Double-  , ivStability :: !Double-  , ivInterval :: !Double-  }-  deriving stock (Eq, Show)--goldenIntervalVectors :: [IntervalVector]-goldenIntervalVectors =-  [ IntervalVector 0 0.7 0.0001 1.1574074074074073e-5-  , IntervalVector 0 0.7 0.01 0.00045127975239051384-  , IntervalVector 0 0.7 0.5 3.117203331616744-  , IntervalVector 0 0.7 1.0 9.20105680045469-  , IntervalVector 0 0.7 4.1283 62.10906194594796-  , IntervalVector 0 0.7 15.0 284.948503494052-  , IntervalVector 0 0.7 100.0 2225.756072433354-  , IntervalVector 0 0.7 1000.0 23800.027080355834-  , IntervalVector 0 0.7 36500.0 36500.0-  , IntervalVector 0 0.8 0.0001 1.1574074074074073e-5-  , IntervalVector 0 0.8 0.01 3.601728249454452e-5-  , IntervalVector 0 0.8 0.5 0.5024089885355536-  , IntervalVector 0 0.8 1.0 2.150047765631358-  , IntervalVector 0 0.8 4.1283 19.35445042913598-  , IntervalVector 0 0.8 15.0 97.42745289971072-  , IntervalVector 0 0.8 100.0 801.9939743014621-  , IntervalVector 0 0.8 1000.0 8749.841127265681-  , IntervalVector 0 0.8 36500.0 36500.0-  , IntervalVector 0 0.85 0.0001 1.1574074074074073e-5-  , IntervalVector 0 0.85 0.01 1.1574074074074073e-5-  , IntervalVector 0 0.85 0.5 0.07311627017082284-  , IntervalVector 0 0.85 1.0 0.6357738009780464-  , IntervalVector 0 0.85 4.1283 9.281518670005237-  , IntervalVector 0 0.85 15.0 52.320939407195404-  , IntervalVector 0 0.85 100.0 455.33708673914697-  , IntervalVector 0 0.85 1000.0 5067.354602800332-  , IntervalVector 0 0.85 36500.0 36500.0-  , IntervalVector 0 0.9 0.0001 1.1574074074074073e-5-  , IntervalVector 0 0.9 0.01 1.1574074074074073e-5-  , IntervalVector 0 0.9 0.5 0.004070952126970879-  , IntervalVector 0 0.9 1.0 0.04220140211604471-  , IntervalVector 0 0.9 4.1283 2.9669271623721456-  , IntervalVector 0 0.9 15.0 23.130676977447674-  , IntervalVector 0 0.9 100.0 228.64254264799698-  , IntervalVector 0 0.9 1000.0 2650.9394532829792-  , IntervalVector 0 0.9 36500.0 36500.0-  , IntervalVector 0 0.95 0.0001 1.1574074074074073e-5-  , IntervalVector 0 0.95 0.01 1.1574074074074073e-5-  , IntervalVector 0 0.95 0.5 0.0002729212997928062-  , IntervalVector 0 0.95 1.0 0.0011673402673624-  , IntervalVector 0 0.95 4.1283 0.08000910354847687-  , IntervalVector 0 0.95 15.0 4.414772788071169-  , IntervalVector 0 0.95 100.0 77.51137131161089-  , IntervalVector 0 0.95 1000.0 1029.0563316579403-  , IntervalVector 0 0.95 36500.0 36500.0-  , IntervalVector 0 0.97 0.0001 1.1574074074074073e-5-  , IntervalVector 0 0.97 0.01 1.1574074074074073e-5-  , IntervalVector 0 0.97 0.5 8.828059519681088e-5-  , IntervalVector 0 0.97 1.0 0.00029303360834978737-  , IntervalVector 0 0.97 4.1283 0.006386991233059331-  , IntervalVector 0 0.97 15.0 0.4429904100443122-  , IntervalVector 0 0.97 100.0 32.514164306905954-  , IntervalVector 0 0.97 1000.0 536.2719260144573-  , IntervalVector 0 0.97 36500.0 22700.633467170508-  , IntervalVector 0 0.99 0.0001 1.1574074074074073e-5-  , IntervalVector 0 0.99 0.01 1.1574074074074073e-5-  , IntervalVector 0 0.99 0.5 1.7471896134792815e-5-  , IntervalVector 0 0.99 1.0 4.822136328432182e-5-  , IntervalVector 0 0.99 4.1283 0.0004690664752905264-  , IntervalVector 0 0.99 15.0 0.005395816582669202-  , IntervalVector 0 0.99 100.0 0.9825033805227932-  , IntervalVector 0 0.99 1000.0 117.48067393690135-  , IntervalVector 0 0.99 36500.0 6735.646375251022-  , IntervalVector 1 0.7 0.0001 0.056485270434622384-  , IntervalVector 1 0.7 0.01 4.917962841074945-  , IntervalVector 1 0.7 0.5 3.0747826128579723-  , IntervalVector 1 0.7 1.0 3.5035241205529903-  , IntervalVector 1 0.7 4.1283 8.881571776199577-  , IntervalVector 1 0.7 15.0 28.779595370154098-  , IntervalVector 1 0.7 100.0 185.77323261468953-  , IntervalVector 1 0.7 1000.0 1850.306402242769-  , IntervalVector 1 0.7 36500.0 36500.0-  , IntervalVector 1 0.8 0.0001 0.00017803154636673922-  , IntervalVector 1 0.8 0.01 0.017526088717440668-  , IntervalVector 1 0.8 0.5 0.6209748700795628-  , IntervalVector 1 0.8 1.0 1.1624258186863363-  , IntervalVector 1 0.8 4.1283 4.509858675287754-  , IntervalVector 1 0.8 15.0 16.151138483343377-  , IntervalVector 1 0.8 100.0 107.24123174296729-  , IntervalVector 1 0.8 1000.0 1071.8776526967645-  , IntervalVector 1 0.8 36500.0 36500.0-  , IntervalVector 1 0.85 0.0001 1.3014325708657666e-5-  , IntervalVector 1 0.85 0.01 0.0013275784398440527-  , IntervalVector 1 0.85 0.5 0.18019830183924998-  , IntervalVector 1 0.85 1.0 0.5072819008173706-  , IntervalVector 1 0.85 4.1283 2.853572670471599-  , IntervalVector 1 0.85 15.0 11.084784580817049-  , IntervalVector 1 0.85 100.0 75.25530086567957-  , IntervalVector 1 0.85 1000.0 754.2392102615415-  , IntervalVector 1 0.85 36500.0 27534.560520025057-  , IntervalVector 1 0.9 0.0001 1.1574074074074073e-5-  , IntervalVector 1 0.9 0.01 0.00011117565267932369-  , IntervalVector 1 0.9 0.5 0.018717648016651153-  , IntervalVector 1 0.9 1.0 0.10511511284303723-  , IntervalVector 1 0.9 4.1283 1.4637131423968208-  , IntervalVector 1 0.9 15.0 6.655916282644194-  , IntervalVector 1 0.9 100.0 47.011718979983804-  , IntervalVector 1 0.9 1000.0 473.4253654955935-  , IntervalVector 1 0.9 36500.0 17289.509963417844-  , IntervalVector 1 0.95 0.0001 1.1574074074074073e-5-  , IntervalVector 1 0.95 0.01 1.1574074074074073e-5-  , IntervalVector 1 0.95 0.5 0.0009437701786925955-  , IntervalVector 1 0.95 1.0 0.004090102355002918-  , IntervalVector 1 0.95 4.1283 0.3495061226120306-  , IntervalVector 1 0.95 15.0 2.7772828623271026-  , IntervalVector 1 0.95 100.0 21.91235884204184-  , IntervalVector 1 0.95 1000.0 223.46725792535577-  , IntervalVector 1 0.95 36500.0 8169.033979115177-  , IntervalVector 1 0.97 0.0001 1.1574074074074073e-5-  , IntervalVector 1 0.97 0.01 1.1574074074074073e-5-  , IntervalVector 1 0.97 0.5 0.0002569412683931921-  , IntervalVector 1 0.97 1.0 0.0008627094776825766-  , IntervalVector 1 0.97 4.1283 0.06823050658616155-  , IntervalVector 1 0.97 15.0 1.3832728374582621-  , IntervalVector 1 0.97 100.0 12.652613385391312-  , IntervalVector 1 0.97 1000.0 131.0325051789605-  , IntervalVector 1 0.97 36500.0 4795.665879636751-  , IntervalVector 1 0.99 0.0001 1.1574074074074073e-5-  , IntervalVector 1 0.99 0.01 1.1574074074074073e-5-  , IntervalVector 1 0.99 0.5 4.343160931319135e-5-  , IntervalVector 1 0.99 1.0 0.00011831556774026941-  , IntervalVector 1 0.99 4.1283 0.0022932718844632704-  , IntervalVector 1 0.99 15.0 0.1832552247602712-  , IntervalVector 1 0.99 100.0 3.835732740677949-  , IntervalVector 1 0.99 1000.0 42.53363987052-  , IntervalVector 1 0.99 36500.0 1564.6644364198594-  , IntervalVector 2 0.7 0.0001 1.1574074074074073e-5-  , IntervalVector 2 0.7 0.01 1.1574074074074073e-5-  , IntervalVector 2 0.7 0.5 0.08150032655928467-  , IntervalVector 2 0.7 1.0 0.2191302172372853-  , IntervalVector 2 0.7 4.1283 1.280641542930248-  , IntervalVector 2 0.7 15.0 5.426265610662961-  , IntervalVector 2 0.7 100.0 39.94832161945218-  , IntervalVector 2 0.7 1000.0 415.7814582906561-  , IntervalVector 2 0.7 36500.0 15389.855536955905-  , IntervalVector 2 0.8 0.0001 1.1574074074074073e-5-  , IntervalVector 2 0.8 0.01 1.1574074074074073e-5-  , IntervalVector 2 0.8 0.5 0.0019323117414683263-  , IntervalVector 2 0.8 1.0 0.02982261032771186-  , IntervalVector 2 0.8 4.1283 0.397688827723519-  , IntervalVector 2 0.8 15.0 2.104189792791598-  , IntervalVector 2 0.8 100.0 17.48703508290727-  , IntervalVector 2 0.8 1000.0 190.42477333335583-  , IntervalVector 2 0.8 36500.0 7157.847169026045-  , IntervalVector 2 0.85 0.0001 1.1574074074074073e-5-  , IntervalVector 2 0.85 0.01 1.1574074074074073e-5-  , IntervalVector 2 0.85 0.5 1.1574074074074073e-5-  , IntervalVector 2 0.85 1.0 0.00029955593419729983-  , IntervalVector 2 0.85 4.1283 0.15588323083723007-  , IntervalVector 2 0.85 15.0 1.1299878116819286-  , IntervalVector 2 0.85 100.0 10.619072803191733-  , IntervalVector 2 0.85 1000.0 120.33639320854094-  , IntervalVector 2 0.85 36500.0 4582.215684387548-  , IntervalVector 2 0.9 0.0001 1.1574074074074073e-5-  , IntervalVector 2 0.9 0.01 1.1574074074074073e-5-  , IntervalVector 2 0.9 0.5 1.1574074074074073e-5-  , IntervalVector 2 0.9 1.0 1.1574074074074073e-5-  , IntervalVector 2 0.9 4.1283 0.006395903619397388-  , IntervalVector 2 0.9 15.0 0.42381904955941113-  , IntervalVector 2 0.9 100.0 5.496698918051801-  , IntervalVector 2 0.9 1000.0 67.54103651918959-  , IntervalVector 2 0.9 36500.0 2635.459438849799-  , IntervalVector 2 0.95 0.0001 1.1574074074074073e-5-  , IntervalVector 2 0.95 0.01 1.1574074074074073e-5-  , IntervalVector 2 0.95 0.5 1.1574074074074073e-5-  , IntervalVector 2 0.95 1.0 1.1574074074074073e-5-  , IntervalVector 2 0.95 4.1283 1.1574074074074073e-5-  , IntervalVector 2 0.95 15.0 0.0006947402110169297-  , IntervalVector 2 0.95 100.0 1.6297887361214212-  , IntervalVector 2 0.95 1000.0 27.162156921554093-  , IntervalVector 2 0.95 36500.0 1140.9809607840618-  , IntervalVector 2 0.97 0.0001 1.1574074074074073e-5-  , IntervalVector 2 0.97 0.01 1.1574074074074073e-5-  , IntervalVector 2 0.97 0.5 1.1574074074074073e-5-  , IntervalVector 2 0.97 1.0 1.1574074074074073e-5-  , IntervalVector 2 0.97 4.1283 1.1574074074074073e-5-  , IntervalVector 2 0.97 15.0 1.1574074074074073e-5-  , IntervalVector 2 0.97 100.0 0.38856423686691866-  , IntervalVector 2 0.97 1000.0 13.726252993269208-  , IntervalVector 2 0.97 36500.0 641.4142966751779-  , IntervalVector 2 0.99 0.0001 1.1574074074074073e-5-  , IntervalVector 2 0.99 0.01 1.1574074074074073e-5-  , IntervalVector 2 0.99 0.5 1.1574074074074073e-5-  , IntervalVector 2 0.99 1.0 1.1574074074074073e-5-  , IntervalVector 2 0.99 4.1283 1.1574074074074073e-5-  , IntervalVector 2 0.99 15.0 1.1574074074074073e-5-  , IntervalVector 2 0.99 100.0 1.1574074074074073e-5-  , IntervalVector 2 0.99 1000.0 1.7403480423800615-  , IntervalVector 2 0.99 36500.0 188.8949885261801-  ]---- | A whole review history folded into a final memory state.-data ReplayVector = ReplayVector-  { rvParams :: !Int-  , rvReviews :: ![(Double, Int)]-    -- ^ @(days since the previous review, rating)@.-  , rvFinalState :: !(Double, Double)-  }-  deriving stock (Eq, Show)--goldenReplayVectors :: [ReplayVector]-goldenReplayVectors =-  [ ReplayVector 0 [(0.0, 3)] (4.1283, 4.194588083372719)-  , ReplayVector 0 [(0.0, 1)] (0.041, 5.6385)-  , ReplayVector 0 [(0.0, 4)] (11.9709, 2.817928571667297)-  , ReplayVector 0 [(0.0, 3), (0.006944444444444444, 3)] (5.284074098785149, 4.180821488255665)-  , ReplayVector 0 [(0.0, 1), (0.0006944444444444445, 3), (0.006944444444444444, 3), (1.0, 3)] (4.363823678078679, 5.554726208007091)-  , ReplayVector 0 [(0.0, 3), (1.0, 3), (3.0, 3), (8.0, 3), (21.0, 3)] (51.13598657235655, 4.140342205740074)-  , ReplayVector 0 [(0.0, 2), (1.0, 2), (2.0, 2), (3.0, 2)] (10.005657593467827, 8.615870652454893)-  , ReplayVector 0 [(0.0, 4), (15.0, 4), (90.0, 4), (365.0, 4)] (399.54723405853474, 1.0)-  , ReplayVector 0 [(0.0, 3), (5.0, 1), (0.006944444444444444, 3), (1.0, 3), (4.0, 4)] (6.709654019064798, 7.550194020527194)-  , ReplayVector 0 [(0.0, 1), (0.0, 1), (0.0, 1), (0.0, 3)] (0.0001844264325618162, 9.517410721695096)-  , ReplayVector 0 [(0.0, 3), (100.0, 1), (0.5, 2), (2.0, 3), (6.0, 4), (30.0, 1)] (1.2988830554348012, 9.476663700091226)-  , ReplayVector 0 [(0.0, 2), (0.25, 3), (0.75, 4), (2.5, 1), (0.01, 3), (7.0, 3)] (6.155878820322062, 7.9861912704492415)-  , ReplayVector 0 [(0.0, 3), (1.0, 3), (2.0, 3), (4.0, 3), (8.0, 3), (16.0, 3), (32.0, 3), (64.0, 3), (128.0, 3), (256.0, 3), (512.0, 3)] (504.34338372214967, 4.062954757444055)-  , ReplayVector 0 [(0.0, 4), (1.0, 4), (1.0, 3), (1.0, 2), (1.0, 1), (1.0, 3), (1.0, 4), (1.0, 2), (1.0, 1)] (1.8700202120083298, 9.504197999898857)-  , ReplayVector 1 [(0.0, 3)] (64.835975, 1.0)-  , ReplayVector 1 [(0.0, 1)] (21.160516, 8.15903)-  , ReplayVector 1 [(0.0, 4)] (64.835975, 1.0)-  , ReplayVector 1 [(0.0, 3), (0.006944444444444444, 3)] (64.83966034515682, 1.0)-  , ReplayVector 1 [(0.0, 1), (0.0006944444444444445, 3), (0.006944444444444444, 3), (1.0, 3)] (21.22186424830409, 1.0)-  , ReplayVector 1 [(0.0, 3), (1.0, 3), (3.0, 3), (8.0, 3), (21.0, 3)] (65.12283435473542, 1.0)-  , ReplayVector 1 [(0.0, 2), (1.0, 2), (2.0, 2), (3.0, 2)] (50.96007847033368, 1.0)-  , ReplayVector 1 [(0.0, 4), (15.0, 4), (90.0, 4), (365.0, 4)] (77.80278794798323, 1.0)-  , ReplayVector 1 [(0.0, 3), (5.0, 1), (0.006944444444444444, 3), (1.0, 3), (4.0, 4)] (32.70121989196062, 1.0)-  , ReplayVector 1 [(0.0, 1), (0.0, 1), (0.0, 1), (0.0, 3)] (0.3145624222371321, 1.0)-  , ReplayVector 1 [(0.0, 3), (100.0, 1), (0.5, 2), (2.0, 3), (6.0, 4), (30.0, 1)] (26.19569389489973, 1.4918717310343146)-  , ReplayVector 1 [(0.0, 2), (0.25, 3), (0.75, 4), (2.5, 1), (0.01, 3), (7.0, 3)] (26.472074461000048, 1.0)-  , ReplayVector 1 [(0.0, 3), (1.0, 3), (2.0, 3), (4.0, 3), (8.0, 3), (16.0, 3), (32.0, 3), (64.0, 3), (128.0, 3), (256.0, 3), (512.0, 3)] (69.9098324237063, 1.0)-  , ReplayVector 1 [(0.0, 4), (1.0, 4), (1.0, 3), (1.0, 2), (1.0, 1), (1.0, 3), (1.0, 4), (1.0, 2), (1.0, 1)] (17.7943323192371, 1.4918717310343146)-  , ReplayVector 2 [(0.0, 3)] (79.640406, 1.0)-  , ReplayVector 2 [(0.0, 1)] (2.462798, 7.614116)-  , ReplayVector 2 [(0.0, 4)] (79.640406, 1.0)-  , ReplayVector 2 [(0.0, 3), (0.006944444444444444, 3)] (86.62079519809366, 1.0)-  , ReplayVector 2 [(0.0, 1), (0.0006944444444444445, 3), (0.006944444444444444, 3), (1.0, 3)] (23.961229647935912, 6.61669734203843)-  , ReplayVector 2 [(0.0, 3), (1.0, 3), (3.0, 3), (8.0, 3), (21.0, 3)] (199.62738805973905, 1.0)-  , ReplayVector 2 [(0.0, 2), (1.0, 2), (2.0, 2), (3.0, 2)] (43.299666393753476, 5.033143534988341)-  , ReplayVector 2 [(0.0, 4), (15.0, 4), (90.0, 4), (365.0, 4)] (2203.3303431594163, 1.0)-  , ReplayVector 2 [(0.0, 3), (5.0, 1), (0.006944444444444444, 3), (1.0, 3), (4.0, 4)] (280.96023230120966, 1.0)-  , ReplayVector 2 [(0.0, 1), (0.0, 1), (0.0, 1), (0.0, 3)] (0.05224193167244188, 7.032017724078441)-  , ReplayVector 2 [(0.0, 3), (100.0, 1), (0.5, 2), (2.0, 3), (6.0, 4), (30.0, 1)] (4.551999327806947, 1.5042458491001744)-  , ReplayVector 2 [(0.0, 2), (0.25, 3), (0.75, 4), (2.5, 1), (0.01, 3), (7.0, 3)] (63.18078959050319, 4.076018495507828)-  , ReplayVector 2 [(0.0, 3), (1.0, 3), (2.0, 3), (4.0, 3), (8.0, 3), (16.0, 3), (32.0, 3), (64.0, 3), (128.0, 3), (256.0, 3), (512.0, 3)] (890.1169420823825, 1.0)-  , ReplayVector 2 [(0.0, 4), (1.0, 4), (1.0, 3), (1.0, 2), (1.0, 1), (1.0, 3), (1.0, 4), (1.0, 2), (1.0, 1)] (2.817832383828903, 1.6102711693629577)+-- transcription of the reference model. Do not edit by hand;+-- regenerate with @python3 reference\/gen_golden.py@.+module Test.FSRS.GoldenData+  ( goldenParameterSets+  , CurveVector (..)+  , goldenCurveVectors+  , FastRecallVector (..)+  , goldenFastRecallVectors+  , DifficultyVector (..)+  , goldenDifficultyVectors+  , HalfStabilityVector (..)+  , goldenHalfStabilityVectors+  , StepVector (..)+  , goldenStepVectors+  , IntervalVector (..)+  , goldenIntervalVectors+  , ReplayVector (..)+  , goldenReplayVectors+  ) where++-- | The parameter sets the vectors below refer to by index.+--   Index 0 is the FSRS-7 default parameter set.+goldenParameterSets :: [[Double]]+goldenParameterSets =+  [ [0.1104, 2.2395, 3.9221, 11.7841, 6.1686, 0.6457, 3.6807, 1.9795, 0.0, 1.3826, 0.7024, 0.5999, 0.8146, 0.6398, 1.0, 1.3207, 0.6707, 3.8668, 0.4416, 0.0934, 1.8631, 0.6162, 1.0869, 0.1567, 0.0801, 0.2421, 0.9464, 0.1433, 0.7145, 0.0, 0.5667, 0.3734, 0.5333, 0.3048]+  , [21.160516, 50.940793, 64.835975, 64.835975, 8.15903, 2.002545, 2.260348, 0.261677, 1.007671, 0.835788, 1.121191, 0.582182, 2.742892, 0.317049, 2.461488, 2.999687, 0.849073, 3.646794, 0.934326, 0.204025, 4.32941, 0.979622, 4.298516, 0.159186, 0.373962, 0.712382, 0.78895, 0.064371, 0.968281, 0.799121, 0.383215, 0.640278, 0.19246, 0.328323]+  , [2.462798, 11.949056, 79.640406, 79.640406, 7.614116, 1.181111, 0.390871, 2.724834, 0.753779, 2.243577, 0.730412, 0.935852, 0.86427, 0.296865, 4.570336, 3.967996, 1.663002, 2.63757, 0.502115, 0.596751, 0.815759, 0.712237, 5.132993, 0.241617, 0.873206, 0.357877, 0.714831, 0.043894, 0.346437, 0.208525, 0.103578, 0.391527, 0.246078, 0.120496]+  ]++-- | @R(t, state)@, the probability of recall. The state is spelled out+--   as a @(stability, difficulty, fast stability)@ triple.+data CurveVector = CurveVector+  { cvParams :: !Int+  , cvElapsedDays :: !Double+  , cvState :: !(Double, Double, Double)+  , cvRetrievability :: !Double+  }+  deriving stock (Eq, Show)++goldenCurveVectors :: [CurveVector]+goldenCurveVectors =+  [ CurveVector 0 0.0 (0.0001, 1.0, 0.0001) 0.9999899999999999+  , CurveVector 0 0.0 (0.0001, 5.0, 0.0001) 0.9999899999999999+  , CurveVector 0 0.0 (0.0001, 10.0, 0.0001) 0.9999899999999999+  , CurveVector 0 0.0 (0.01, 1.0, 0.008) 0.9999899999999999+  , CurveVector 0 0.0 (0.01, 5.0, 0.008) 0.9999899999999999+  , CurveVector 0 0.0 (0.01, 10.0, 0.008) 0.9999899999999999+  , CurveVector 0 0.0 (0.5, 1.0, 0.4) 0.9999899999999999+  , CurveVector 0 0.0 (0.5, 5.0, 0.4) 0.9999899999999999+  , CurveVector 0 0.0 (0.5, 10.0, 0.4) 0.9999899999999999+  , CurveVector 0 0.0 (1.0, 1.0, 0.8) 0.9999899999999999+  , CurveVector 0 0.0 (1.0, 5.0, 0.8) 0.9999899999999999+  , CurveVector 0 0.0 (1.0, 10.0, 0.8) 0.9999899999999999+  , CurveVector 0 0.0 (3.9221, 1.0, 3.13768) 0.9999899999999999+  , CurveVector 0 0.0 (3.9221, 5.0, 3.13768) 0.9999899999999999+  , CurveVector 0 0.0 (3.9221, 10.0, 3.13768) 0.9999899999999999+  , CurveVector 0 0.0 (15.0, 1.0, 12.0) 0.9999899999999999+  , CurveVector 0 0.0 (15.0, 5.0, 12.0) 0.9999899999999999+  , CurveVector 0 0.0 (15.0, 10.0, 12.0) 0.9999899999999999+  , CurveVector 0 0.0 (100.0, 1.0, 80.0) 0.9999899999999999+  , CurveVector 0 0.0 (100.0, 5.0, 80.0) 0.9999899999999999+  , CurveVector 0 0.0 (100.0, 10.0, 80.0) 0.9999899999999999+  , CurveVector 0 0.0 (1000.0, 1.0, 800.0) 0.9999899999999999+  , CurveVector 0 0.0 (1000.0, 5.0, 800.0) 0.9999899999999999+  , CurveVector 0 0.0 (1000.0, 10.0, 800.0) 0.9999899999999999+  , CurveVector 0 0.0 (36500.0, 1.0, 29200.0) 0.9999899999999999+  , CurveVector 0 0.0 (36500.0, 5.0, 29200.0) 0.9999899999999999+  , CurveVector 0 0.0 (36500.0, 10.0, 29200.0) 0.9999899999999999+  , CurveVector 0 0.0 (0.5, 2.5, 0.025) 0.9999899999999999+  , CurveVector 0 0.0 (0.5, 2.5, 0.5) 0.9999899999999999+  , CurveVector 0 0.0 (0.5, 2.5, 10.0) 0.9999899999999999+  , CurveVector 0 0.0 (0.5, 7.0, 0.025) 0.9999899999999999+  , CurveVector 0 0.0 (0.5, 7.0, 0.5) 0.9999899999999999+  , CurveVector 0 0.0 (0.5, 7.0, 10.0) 0.9999899999999999+  , CurveVector 0 0.0 (3.9221, 2.5, 0.196105) 0.9999899999999999+  , CurveVector 0 0.0 (3.9221, 2.5, 3.9221) 0.9999899999999999+  , CurveVector 0 0.0 (3.9221, 2.5, 78.442) 0.9999899999999999+  , CurveVector 0 0.0 (3.9221, 7.0, 0.196105) 0.9999899999999999+  , CurveVector 0 0.0 (3.9221, 7.0, 3.9221) 0.9999899999999999+  , CurveVector 0 0.0 (3.9221, 7.0, 78.442) 0.9999899999999999+  , CurveVector 0 0.0 (100.0, 2.5, 5.0) 0.9999899999999999+  , CurveVector 0 0.0 (100.0, 2.5, 100.0) 0.9999899999999999+  , CurveVector 0 0.0 (100.0, 2.5, 2000.0) 0.9999899999999999+  , CurveVector 0 0.0 (100.0, 7.0, 5.0) 0.9999899999999999+  , CurveVector 0 0.0 (100.0, 7.0, 100.0) 0.9999899999999999+  , CurveVector 0 0.0 (100.0, 7.0, 2000.0) 0.9999899999999999+  , CurveVector 0 1.1574074074074073e-5 (0.0001, 1.0, 0.0001) 0.3628373041101308+  , CurveVector 0 1.1574074074074073e-5 (0.0001, 5.0, 0.0001) 0.35172985787323185+  , CurveVector 0 1.1574074074074073e-5 (0.0001, 10.0, 0.0001) 0.3435245955238318+  , CurveVector 0 1.1574074074074073e-5 (0.01, 1.0, 0.008) 0.783919591141654+  , CurveVector 0 1.1574074074074073e-5 (0.01, 5.0, 0.008) 0.7456855096301587+  , CurveVector 0 1.1574074074074073e-5 (0.01, 10.0, 0.008) 0.7090545359056282+  , CurveVector 0 1.1574074074074073e-5 (0.5, 1.0, 0.4) 0.9946679375761777+  , CurveVector 0 1.1574074074074073e-5 (0.5, 5.0, 0.4) 0.9919621861982887+  , CurveVector 0 1.1574074074074073e-5 (0.5, 10.0, 0.4) 0.9874137201352076+  , CurveVector 0 1.1574074074074073e-5 (1.0, 1.0, 0.8) 0.9980250338922181+  , CurveVector 0 1.1574074074074073e-5 (1.0, 5.0, 0.8) 0.9969456754685644+  , CurveVector 0 1.1574074074074073e-5 (1.0, 10.0, 0.8) 0.9949930634344051+  , CurveVector 0 1.1574074074074073e-5 (3.9221, 1.0, 3.13768) 0.9997450897988265+  , CurveVector 0 1.1574074074074073e-5 (3.9221, 5.0, 3.13768) 0.9995972088521423+  , CurveVector 0 1.1574074074074073e-5 (3.9221, 10.0, 3.13768) 0.9993014562402476+  , CurveVector 0 1.1574074074074073e-5 (15.0, 1.0, 12.0) 0.9999603423093698+  , CurveVector 0 1.1574074074074073e-5 (15.0, 5.0, 12.0) 0.9999415786411505+  , CurveVector 0 1.1574074074074073e-5 (15.0, 10.0, 12.0) 0.9999019548721743+  , CurveVector 0 1.1574074074074073e-5 (100.0, 1.0, 80.0) 0.9999885555204889+  , CurveVector 0 1.1574074074074073e-5 (100.0, 5.0, 80.0) 0.9999876138700481+  , CurveVector 0 1.1574074074074073e-5 (100.0, 10.0, 80.0) 0.999985551438797+  , CurveVector 0 1.1574074074074073e-5 (1000.0, 1.0, 800.0) 0.9999899635448196+  , CurveVector 0 1.1574074074074073e-5 (1000.0, 5.0, 800.0) 0.9999899392881023+  , CurveVector 0 1.1574074074074073e-5 (1000.0, 10.0, 800.0) 0.9999898848568648+  , CurveVector 0 1.1574074074074073e-5 (36500.0, 1.0, 29200.0) 0.9999899998771268+  , CurveVector 0 1.1574074074074073e-5 (36500.0, 5.0, 29200.0) 0.9999899997874332+  , CurveVector 0 1.1574074074074073e-5 (36500.0, 10.0, 29200.0) 0.9999899995665453+  , CurveVector 0 1.1574074074074073e-5 (0.5, 2.5, 0.025) 0.9583732662502099+  , CurveVector 0 1.1574074074074073e-5 (0.5, 2.5, 0.5) 0.9949139090864945+  , CurveVector 0 1.1574074074074073e-5 (0.5, 2.5, 10.0) 0.9997384105620181+  , CurveVector 0 1.1574074074074073e-5 (0.5, 7.0, 0.025) 0.935264148811661+  , CurveVector 0 1.1574074074074073e-5 (0.5, 7.0, 0.5) 0.9920945274804569+  , CurveVector 0 1.1574074074074073e-5 (0.5, 7.0, 10.0) 0.9995979052116751+  , CurveVector 0 1.1574074074074073e-5 (3.9221, 2.5, 0.196105) 0.9958880508198067+  , CurveVector 0 1.1574074074074073e-5 (3.9221, 2.5, 3.9221) 0.9997568246884082+  , CurveVector 0 1.1574074074074073e-5 (3.9221, 2.5, 78.442) 0.9999793448000872+  , CurveVector 0 1.1574074074074073e-5 (3.9221, 7.0, 0.196105) 0.9930738263372619+  , CurveVector 0 1.1574074074074073e-5 (3.9221, 7.0, 3.9221) 0.9995967302674443+  , CurveVector 0 1.1574074074074073e-5 (3.9221, 7.0, 78.442) 0.9999719078715928+  , CurveVector 0 1.1574074074074073e-5 (100.0, 2.5, 5.0) 0.9999593832386175+  , CurveVector 0 1.1574074074074073e-5 (100.0, 2.5, 100.0) 0.9999886152023915+  , CurveVector 0 1.1574074074074073e-5 (100.0, 2.5, 2000.0) 0.9999899332339629+  , CurveVector 0 1.1574074074074073e-5 (100.0, 7.0, 5.0) 0.999936310489001+  , CurveVector 0 1.1574074074074073e-5 (100.0, 7.0, 100.0) 0.9999875663960558+  , CurveVector 0 1.1574074074074073e-5 (100.0, 7.0, 2000.0) 0.9999898774588445+  , CurveVector 0 0.0006944444444444445 (0.0001, 1.0, 0.0001) 0.21188474486985417+  , CurveVector 0 0.0006944444444444445 (0.0001, 5.0, 0.0001) 0.19857382020877556+  , CurveVector 0 0.0006944444444444445 (0.0001, 10.0, 0.0001) 0.1894903350126989+  , CurveVector 0 0.0006944444444444445 (0.01, 1.0, 0.008) 0.5962911391042149+  , CurveVector 0 0.0006944444444444445 (0.01, 5.0, 0.008) 0.5243973303323923+  , CurveVector 0 0.0006944444444444445 (0.01, 10.0, 0.008) 0.4549758092619348+  , CurveVector 0 0.0006944444444444445 (0.5, 1.0, 0.4) 0.9462414502604529+  , CurveVector 0 0.0006944444444444445 (0.5, 5.0, 0.4) 0.9188910689189346+  , CurveVector 0 0.0006944444444444445 (0.5, 10.0, 0.4) 0.8728638842916551+  , CurveVector 0 0.0006944444444444445 (1.0, 1.0, 0.8) 0.9693058528510979+  , CurveVector 0 0.0006944444444444445 (1.0, 5.0, 0.8) 0.9524392447896599+  , CurveVector 0 0.0006944444444444445 (1.0, 10.0, 0.8) 0.9219013730542182+  , CurveVector 0 0.0006944444444444445 (3.9221, 1.0, 3.13768) 0.9920891136192558+  , CurveVector 0 0.0006944444444444445 (3.9221, 5.0, 3.13768) 0.9873163621561948+  , CurveVector 0 0.0006944444444444445 (3.9221, 10.0, 3.13768) 0.9777664068971548+  , CurveVector 0 0.0006944444444444445 (15.0, 1.0, 12.0) 0.9985528570346572+  , CurveVector 0 0.0006944444444444445 (15.0, 5.0, 12.0) 0.9976433782075594+  , CurveVector 0 0.0006944444444444445 (15.0, 10.0, 12.0) 0.9957222446910609+  , CurveVector 0 0.0006944444444444445 (100.0, 1.0, 80.0) 0.9999062282199427+  , CurveVector 0 0.0006944444444444445 (100.0, 5.0, 80.0) 0.9998516114345803+  , CurveVector 0 0.0006944444444444445 (100.0, 10.0, 80.0) 0.9997319727390142+  , CurveVector 0 0.0006944444444444445 (1000.0, 1.0, 800.0) 0.9999878195460449+  , CurveVector 0 0.0006944444444444445 (1000.0, 5.0, 800.0) 0.9999863686457797+  , CurveVector 0 0.0006944444444444445 (1000.0, 10.0, 800.0) 0.9999831127300594+  , CurveVector 0 0.0006944444444444445 (36500.0, 1.0, 29200.0) 0.9999899926281197+  , CurveVector 0 0.0006944444444444445 (36500.0, 5.0, 29200.0) 0.9999899872468485+  , CurveVector 0 0.0006944444444444445 (36500.0, 10.0, 29200.0) 0.9999899739943163+  , CurveVector 0 0.0006944444444444445 (0.5, 2.5, 0.025) 0.8967518630453323+  , CurveVector 0 0.0006944444444444445 (0.5, 2.5, 0.5) 0.9409027889741552+  , CurveVector 0 0.0006944444444444445 (0.5, 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CurveVector 2 0.25 (100.0, 5.0, 80.0) 0.9890046229260819+  , CurveVector 2 0.25 (100.0, 10.0, 80.0) 0.9824285802089784+  , CurveVector 2 0.25 (1000.0, 1.0, 800.0) 0.9963519121818601+  , CurveVector 2 0.25 (1000.0, 5.0, 800.0) 0.9944976135183725+  , CurveVector 2 0.25 (1000.0, 10.0, 800.0) 0.9907399213314834+  , CurveVector 2 0.25 (36500.0, 1.0, 29200.0) 0.9985606725978877+  , CurveVector 2 0.25 (36500.0, 5.0, 29200.0) 0.9977906034960196+  , CurveVector 2 0.25 (36500.0, 10.0, 29200.0) 0.9962230506267516+  , CurveVector 2 0.25 (0.5, 2.5, 0.025) 0.687296588849873+  , CurveVector 2 0.25 (0.5, 2.5, 0.5) 0.7716224863758183+  , CurveVector 2 0.25 (0.5, 2.5, 10.0) 0.802136146135932+  , CurveVector 2 0.25 (0.5, 7.0, 0.025) 0.6542718022414753+  , CurveVector 2 0.25 (0.5, 7.0, 0.5) 0.7783027362487507+  , CurveVector 2 0.25 (0.5, 7.0, 10.0) 0.8267478410633687+  , CurveVector 2 0.25 (3.9221, 2.5, 0.196105) 0.9036995771102493+  , CurveVector 2 0.25 (3.9221, 2.5, 3.9221) 0.9487609097604168+  , CurveVector 2 0.25 (3.9221, 2.5, 78.442) 0.9613241193824157+  , CurveVector 2 0.25 (3.9221, 7.0, 0.196105) 0.8732400473203417+  , CurveVector 2 0.25 (3.9221, 7.0, 3.9221) 0.9415525362724001+  , CurveVector 2 0.25 (3.9221, 7.0, 78.442) 0.9612829641648784+  , CurveVector 2 0.25 (100.0, 2.5, 5.0) 0.9827768754846925+  , CurveVector 2 0.25 (100.0, 2.5, 100.0) 0.9914996569448861+  , CurveVector 2 0.25 (100.0, 2.5, 2000.0) 0.994261851687501+  , CurveVector 2 0.25 (100.0, 7.0, 5.0) 0.973575627850305+  , CurveVector 2 0.25 (100.0, 7.0, 100.0) 0.9873017228306901+  , CurveVector 2 0.25 (100.0, 7.0, 2000.0) 0.9916964563809334+  , CurveVector 2 1.0 (0.0001, 1.0, 0.0001) 0.00026999389008947706+  , CurveVector 2 1.0 (0.0001, 5.0, 0.0001) 0.0002600899952794284+  , CurveVector 2 1.0 (0.0001, 10.0, 0.0001) 0.0002388784767030999+  , CurveVector 2 1.0 (0.01, 1.0, 0.008) 0.02740742596948164+  , CurveVector 2 1.0 (0.01, 5.0, 0.008) 0.030766352317398656+  , CurveVector 2 1.0 (0.01, 10.0, 0.008) 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10.0) 0.15993872112226143+  , CurveVector 2 7.5 (0.5, 7.0, 0.025) 0.1359177160254534+  , CurveVector 2 7.5 (0.5, 7.0, 0.5) 0.17526799304220755+  , CurveVector 2 7.5 (0.5, 7.0, 10.0) 0.19480252825078292+  , CurveVector 2 7.5 (3.9221, 2.5, 0.196105) 0.49470921562680537+  , CurveVector 2 7.5 (3.9221, 2.5, 3.9221) 0.5266053890974843+  , CurveVector 2 7.5 (3.9221, 2.5, 78.442) 0.537354913434569+  , CurveVector 2 7.5 (3.9221, 7.0, 0.196105) 0.5189549945743637+  , CurveVector 2 7.5 (3.9221, 7.0, 3.9221) 0.5710122843830848+  , CurveVector 2 7.5 (3.9221, 7.0, 78.442) 0.5901824939022676+  , CurveVector 2 7.5 (100.0, 2.5, 5.0) 0.9400929993145268+  , CurveVector 2 7.5 (100.0, 2.5, 100.0) 0.9550132273839339+  , CurveVector 2 7.5 (100.0, 2.5, 2000.0) 0.9605371143131649+  , CurveVector 2 7.5 (100.0, 7.0, 5.0) 0.9314004386467777+  , CurveVector 2 7.5 (100.0, 7.0, 100.0) 0.95509914972221+  , CurveVector 2 7.5 (100.0, 7.0, 2000.0) 0.9640322559509401+  , CurveVector 2 30.0 (0.0001, 1.0, 0.0001) 2.2753506871997313e-5+  , CurveVector 2 30.0 (0.0001, 5.0, 0.0001) 2.2147255843209133e-5+  , CurveVector 2 30.0 (0.0001, 10.0, 0.0001) 2.0957603579750426e-5+  , CurveVector 2 30.0 (0.01, 1.0, 0.008) 0.002025851646589126+  , CurveVector 2 30.0 (0.01, 5.0, 0.008) 0.00241016004453687+  , CurveVector 2 30.0 (0.01, 10.0, 0.008) 0.002878270401894584+  , CurveVector 2 30.0 (0.5, 1.0, 0.4) 0.04981255586402158+  , CurveVector 2 30.0 (0.5, 5.0, 0.4) 0.06012317734619036+  , CurveVector 2 30.0 (0.5, 10.0, 0.4) 0.0747254461119086+  , CurveVector 2 30.0 (1.0, 1.0, 0.8) 0.0836731508096704+  , CurveVector 2 30.0 (1.0, 5.0, 0.8) 0.0995896816192388+  , CurveVector 2 30.0 (1.0, 10.0, 0.8) 0.12161558681799543+  , CurveVector 2 30.0 (3.9221, 1.0, 3.13768) 0.22764963798643387+  , CurveVector 2 30.0 (3.9221, 5.0, 3.13768) 0.2617374781853212+  , CurveVector 2 30.0 (3.9221, 10.0, 3.13768) 0.3049583206318022+  , CurveVector 2 30.0 (15.0, 1.0, 12.0) 0.5026692184925919+  , CurveVector 2 30.0 (15.0, 5.0, 12.0) 0.5477286856432816+  , CurveVector 2 30.0 (15.0, 10.0, 12.0) 0.5960442654819842+  , CurveVector 2 30.0 (100.0, 1.0, 80.0) 0.8595434852547091+  , CurveVector 2 30.0 (100.0, 5.0, 80.0) 0.8763756562595285+  , CurveVector 2 30.0 (100.0, 10.0, 80.0) 0.8882053179650696+  , CurveVector 2 30.0 (1000.0, 1.0, 800.0) 0.9797661804171302+  , CurveVector 2 30.0 (1000.0, 5.0, 800.0) 0.9797945310575209+  , CurveVector 2 30.0 (1000.0, 10.0, 800.0) 0.9768932785565566+  , CurveVector 2 30.0 (36500.0, 1.0, 29200.0) 0.9978469590880075+  , CurveVector 2 30.0 (36500.0, 5.0, 29200.0) 0.9969946185608363+  , CurveVector 2 30.0 (36500.0, 10.0, 29200.0) 0.9951750403858741+  , CurveVector 2 30.0 (0.5, 2.5, 0.025) 0.04088579368120055+  , CurveVector 2 30.0 (0.5, 2.5, 0.5) 0.05453403645598735+  , CurveVector 2 30.0 (0.5, 2.5, 10.0) 0.06227039532975829+  , CurveVector 2 30.0 (0.5, 7.0, 0.025) 0.04589126641649157+  , CurveVector 2 30.0 (0.5, 7.0, 0.5) 0.06743388476713384+  , CurveVector 2 30.0 (0.5, 7.0, 10.0) 0.08063750273132556+  , CurveVector 2 30.0 (3.9221, 2.5, 0.196105) 0.22305180349983778+  , CurveVector 2 30.0 (3.9221, 2.5, 3.9221) 0.24110326737569038+  , CurveVector 2 30.0 (3.9221, 2.5, 78.442) 0.2460625360568548+  , CurveVector 2 30.0 (3.9221, 7.0, 0.196105) 0.25013850871197163+  , CurveVector 2 30.0 (3.9221, 7.0, 3.9221) 0.28068048568817405+  , CurveVector 2 30.0 (3.9221, 7.0, 78.442) 0.29038832105078954+  , CurveVector 2 30.0 (100.0, 2.5, 5.0) 0.8523767986602097+  , CurveVector 2 30.0 (100.0, 2.5, 100.0) 0.8672404007218758+  , CurveVector 2 30.0 (100.0, 2.5, 2000.0) 0.8727903426695016+  , CurveVector 2 30.0 (100.0, 7.0, 5.0) 0.8594297312715142+  , CurveVector 2 30.0 (100.0, 7.0, 100.0) 0.8835299094736583+  , CurveVector 2 30.0 (100.0, 7.0, 2000.0) 0.8927811045057018+  , CurveVector 2 365.0 (0.0001, 1.0, 0.0001) 1.1400202101800752e-5+  , CurveVector 2 365.0 (0.0001, 5.0, 0.0001) 1.1325308880053122e-5+  , CurveVector 2 365.0 (0.0001, 10.0, 0.0001) 1.1184377573375479e-5+  , CurveVector 2 365.0 (0.01, 1.0, 0.008) 0.0003540314991635756+  , CurveVector 2 365.0 (0.01, 5.0, 0.008) 0.00043802301680623024+  , CurveVector 2 365.0 (0.01, 10.0, 0.008) 0.0005485632266402005+  , CurveVector 2 365.0 (0.5, 1.0, 0.4) 0.009577586891717338+  , CurveVector 2 365.0 (0.5, 5.0, 0.4) 0.0125770375842484+  , CurveVector 2 365.0 (0.5, 10.0, 0.4) 0.017459346842731052+  , CurveVector 2 365.0 (1.0, 1.0, 0.8) 0.014633012014014249+  , CurveVector 2 365.0 (1.0, 5.0, 0.8) 0.01889160470679945+  , CurveVector 2 365.0 (1.0, 10.0, 0.8) 0.02581201390989589+  , CurveVector 2 365.0 (3.9221, 1.0, 3.13768) 0.03603351631027348+  , CurveVector 2 365.0 (3.9221, 5.0, 3.13768) 0.04459058562860817+  , CurveVector 2 365.0 (3.9221, 10.0, 3.13768) 0.057937675729558866+  , CurveVector 2 365.0 (15.0, 1.0, 12.0) 0.09735397688447144+  , CurveVector 2 365.0 (15.0, 5.0, 12.0) 0.11632130315770434+  , CurveVector 2 365.0 (15.0, 10.0, 12.0) 0.14395497016634798+  , CurveVector 2 365.0 (100.0, 1.0, 80.0) 0.3685953635897845+  , CurveVector 2 365.0 (100.0, 5.0, 80.0) 0.415030120712426+  , CurveVector 2 365.0 (100.0, 10.0, 80.0) 0.4727539533673303+  , CurveVector 2 365.0 (1000.0, 1.0, 800.0) 0.8406511356552404+  , CurveVector 2 365.0 (1000.0, 5.0, 800.0) 0.8637008084958262+  , CurveVector 2 365.0 (1000.0, 10.0, 800.0) 0.8849196016054459+  , CurveVector 2 365.0 (36500.0, 1.0, 29200.0) 0.9930909858686856+  , CurveVector 2 365.0 (36500.0, 5.0, 29200.0) 0.9930632484222065+  , CurveVector 2 365.0 (36500.0, 10.0, 29200.0) 0.9919796164962521+  , CurveVector 2 365.0 (0.5, 2.5, 0.025) 0.005222412367127948+  , CurveVector 2 365.0 (0.5, 2.5, 0.5) 0.011210286253951809+  , CurveVector 2 365.0 (0.5, 2.5, 10.0) 0.017269523662625342+  , CurveVector 2 365.0 (0.5, 7.0, 0.025) 0.0060575336057090805+  , CurveVector 2 365.0 (0.5, 7.0, 0.5) 0.015315869490976507+  , CurveVector 2 365.0 (0.5, 7.0, 10.0) 0.025164229521336755+  , CurveVector 2 365.0 (3.9221, 2.5, 0.196105) 0.03226773999564753+  , CurveVector 2 365.0 (3.9221, 2.5, 3.9221) 0.03943125588678332+  , CurveVector 2 365.0 (3.9221, 2.5, 78.442) 0.04113928811696532+  , CurveVector 2 365.0 (3.9221, 7.0, 0.196105) 0.03847703393394597+  , CurveVector 2 365.0 (3.9221, 7.0, 3.9221) 0.050230266377797025+  , CurveVector 2 365.0 (3.9221, 7.0, 78.442) 0.053445639815885126+  , CurveVector 2 365.0 (100.0, 2.5, 5.0) 0.3787175968276551+  , CurveVector 2 365.0 (100.0, 2.5, 100.0) 0.38618980751385373+  , CurveVector 2 365.0 (100.0, 2.5, 2000.0) 0.3880068996887712+  , CurveVector 2 365.0 (100.0, 7.0, 5.0) 0.42546115340138324+  , CurveVector 2 365.0 (100.0, 7.0, 100.0) 0.43892778160196777+  , CurveVector 2 365.0 (100.0, 7.0, 2000.0) 0.44276403113708734+  , CurveVector 2 3650.0 (0.0001, 1.0, 0.0001) 1.0183515040016187e-5+  , CurveVector 2 3650.0 (0.0001, 5.0, 0.0001) 1.0172820566235828e-5+  , CurveVector 2 3650.0 (0.0001, 10.0, 0.0001) 1.0153261435042202e-5+  , CurveVector 2 3650.0 (0.01, 1.0, 0.008) 8.539756014106344e-5+  , CurveVector 2 3650.0 (0.01, 5.0, 0.008) 0.00010686667698510345+  , CurveVector 2 3650.0 (0.01, 10.0, 0.008) 0.00013619167551386118+  , CurveVector 2 3650.0 (0.5, 1.0, 0.4) 0.0032155909289725703+  , CurveVector 2 3650.0 (0.5, 5.0, 0.4) 0.004514731337312922+  , CurveVector 2 3650.0 (0.5, 10.0, 0.4) 0.006751625012038792+  , CurveVector 2 3650.0 (1.0, 1.0, 0.8) 0.004575199446967804+  , CurveVector 2 3650.0 (1.0, 5.0, 0.8) 0.006395606971449417+  , CurveVector 2 3650.0 (1.0, 10.0, 0.8) 0.00958314720037796+  , CurveVector 2 3650.0 (3.9221, 1.0, 3.13768) 0.008636824330200443+  , CurveVector 2 3650.0 (3.9221, 5.0, 3.13768) 0.011681161854313605+  , CurveVector 2 3650.0 (3.9221, 10.0, 3.13768) 0.017035774624588426+  , CurveVector 2 3650.0 (15.0, 1.0, 12.0) 0.017964548078554115+  , CurveVector 2 3650.0 (15.0, 5.0, 12.0) 0.022987717136320654+  , CurveVector 2 3650.0 (15.0, 10.0, 12.0) 0.031446262100137345+  , CurveVector 2 3650.0 (100.0, 1.0, 80.0) 0.07003548052903615+  , CurveVector 2 3650.0 (100.0, 5.0, 80.0) 0.08447245295344952+  , CurveVector 2 3650.0 (100.0, 10.0, 80.0) 0.10638194300860046+  , CurveVector 2 3650.0 (1000.0, 1.0, 800.0) 0.3694510138100528+  , CurveVector 2 3650.0 (1000.0, 5.0, 800.0) 0.41708278117436703+  , CurveVector 2 3650.0 (1000.0, 10.0, 800.0) 0.4778101802119574+  , CurveVector 2 3650.0 (36500.0, 1.0, 29200.0) 0.9499975606993506+  , CurveVector 2 3650.0 (36500.0, 5.0, 29200.0) 0.957920723025976+  , CurveVector 2 3650.0 (36500.0, 10.0, 29200.0) 0.9647747327745895+  , CurveVector 2 3650.0 (0.5, 2.5, 0.025) 0.0008688926111881486+  , CurveVector 2 3650.0 (0.5, 2.5, 0.5) 0.004042778388781684+  , CurveVector 2 3650.0 (0.5, 2.5, 10.0) 0.00910815284390743+  , CurveVector 2 3650.0 (0.5, 7.0, 0.025) 0.0010548502442169153+  , CurveVector 2 3650.0 (0.5, 7.0, 0.5) 0.005925842632400022+  , CurveVector 2 3650.0 (0.5, 7.0, 10.0) 0.014031519871995113+  , CurveVector 2 3650.0 (3.9221, 2.5, 0.196105) 0.005528831902427268+  , CurveVector 2 3650.0 (3.9221, 2.5, 3.9221) 0.009979957822829323+  , CurveVector 2 3650.0 (3.9221, 2.5, 78.442) 0.011911651819387262+  , CurveVector 2 3650.0 (3.9221, 7.0, 0.196105) 0.0069899388145079535+  , CurveVector 2 3650.0 (3.9221, 7.0, 3.9221) 0.014099148238070692+  , CurveVector 2 3650.0 (3.9221, 7.0, 78.442) 0.017369370103370106+  , CurveVector 2 3650.0 (100.0, 2.5, 5.0) 0.07283785746109507+  , CurveVector 2 3650.0 (100.0, 2.5, 100.0) 0.07519509048679449+  , CurveVector 2 3650.0 (100.0, 2.5, 2000.0) 0.07462576077041552+  , CurveVector 2 3650.0 (100.0, 7.0, 5.0) 0.08851892641324664+  , CurveVector 2 3650.0 (100.0, 7.0, 100.0) 0.09279644141246947+  , CurveVector 2 3650.0 (100.0, 7.0, 2000.0) 0.09217565013387817+  ]++-- | The fast trace's own recall probability, which drives its own+--   stability update. This is the piece that replaced the draft's+--   long-\/short-term transition function.+data FastRecallVector = FastRecallVector+  { frParams :: !Int+  , frElapsedDays :: !Double+  , frStabilityFast :: !Double+  , frRecall :: !Double+  }+  deriving stock (Eq, Show)++goldenFastRecallVectors :: [FastRecallVector]+goldenFastRecallVectors =+  [ FastRecallVector 0 0.0 0.0001 1.0+  , FastRecallVector 0 0.0 0.01 1.0+  , FastRecallVector 0 0.0 1.0 1.0+  , FastRecallVector 0 0.0 3.9221 1.0+  , FastRecallVector 0 0.0 100.0 1.0+  , FastRecallVector 0 0.0 36500.0 1.0+  , FastRecallVector 0 1.1574074074074073e-5 0.0001 0.33447315507944103+  , FastRecallVector 0 1.1574074074074073e-5 0.01 0.6742218448481596+  , FastRecallVector 0 1.1574074074074073e-5 1.0 0.9853510946325674+  , FastRecallVector 0 1.1574074074074073e-5 3.9221 0.9963073832168102+  , FastRecallVector 0 1.1574074074074073e-5 100.0 0.9998702648108787+  , FastRecallVector 0 1.1574074074074073e-5 36500.0 0.9999997143170597+  , FastRecallVector 0 0.0006944444444444445 0.0001 0.18105815685681764+  , FastRecallVector 0 0.0006944444444444445 0.01 0.36429777448663436+  , FastRecallVector 0 0.0006944444444444445 1.0 0.738422429619944+  , FastRecallVector 0 0.0006944444444444445 3.9221 0.8696620894444018+  , FastRecallVector 0 0.0006944444444444445 100.0 0.9924244414092437+  , FastRecallVector 0 0.0006944444444444445 36500.0 0.9999828600445108+  , FastRecallVector 0 0.006944444444444444 0.0001 0.12820220623313675+  , FastRecallVector 0 0.006944444444444444 0.01 0.2560146788102081+  , FastRecallVector 0 0.006944444444444444 1.0 0.5261131886683705+  , FastRecallVector 0 0.006944444444444444 3.9221 0.6507461382457376+  , FastRecallVector 0 0.006944444444444444 100.0 0.9385048591885684+  , FastRecallVector 0 0.006944444444444444 36500.0 0.9998286938158902+  , FastRecallVector 0 0.25 0.0001 0.07491514710272403+  , FastRecallVector 0 0.25 0.01 0.14781986481561618+  , FastRecallVector 0 0.25 1.0 0.3008248222009966+  , FastRecallVector 0 0.25 3.9221 0.3736370867703619+  , FastRecallVector 0 0.25 100.0 0.6266063092964018+  , FastRecallVector 0 0.25 36500.0 0.9939602758467697+  , FastRecallVector 0 1.0 0.0001 0.06085648239832377+  , FastRecallVector 0 1.0 0.01 0.11952334572467405+  , FastRecallVector 0 1.0 1.0 0.2421+  , FastRecallVector 0 1.0 3.9221 0.3003214671815383+  , FastRecallVector 0 1.0 100.0 0.5051526493264178+  , FastRecallVector 0 1.0 36500.0 0.97726184261423+  , FastRecallVector 0 3.0 0.0001 0.05161492203323463+  , FastRecallVector 0 3.0 0.01 0.1010002423200838+  , FastRecallVector 0 3.0 1.0 0.20381456007017393+  , FastRecallVector 0 3.0 3.9221 0.2525525082990618+  , FastRecallVector 0 3.0 100.0 0.42427068857558714+  , FastRecallVector 0 3.0 36500.0 0.9406751481206361+  , FastRecallVector 0 7.5 0.0001 0.044989877972066245+  , FastRecallVector 0 7.5 0.01 0.08776644361481144+  , FastRecallVector 0 7.5 1.0 0.17655482944262638+  , FastRecallVector 0 7.5 3.9221 0.21857011053674494+  , FastRecallVector 0 7.5 100.0 0.3665136968745924+  , FastRecallVector 0 7.5 36500.0 0.8832985916047102+  , FastRecallVector 0 30.0 0.0001 0.036547024380649766+  , FastRecallVector 0 30.0 0.01 0.0709656617018256+  , FastRecallVector 0 30.0 1.0 0.142081521323464+  , FastRecallVector 0 30.0 3.9221 0.17564282227680497+  , FastRecallVector 0 30.0 100.0 0.29358781797004063+  , FastRecallVector 0 30.0 36500.0 0.7552213904410912+  , FastRecallVector 0 365.0 0.0001 0.025128095000834794+  , FastRecallVector 0 365.0 0.01 0.048385972222715914+  , FastRecallVector 0 365.0 1.0 0.09604869120835895+  , FastRecallVector 0 365.0 3.9221 0.11843113704465046+  , FastRecallVector 0 365.0 100.0 0.19675299089688422+  , FastRecallVector 0 365.0 36500.0 0.5156067987676493+  , FastRecallVector 0 3650.0 0.0001 0.017792472876827583+  , FastRecallVector 0 3650.0 0.01 0.03399736779914001+  , FastRecallVector 0 3650.0 1.0 0.06695630377639386+  , FastRecallVector 0 3650.0 3.9221 0.08236347849391541+  , FastRecallVector 0 3650.0 100.0 0.1360571600290321+  , FastRecallVector 0 3650.0 36500.0 0.35373755521015193+  , FastRecallVector 1 0.0 0.0001 1.0+  , FastRecallVector 1 0.0 0.01 1.0+  , FastRecallVector 1 0.0 1.0 1.0+  , FastRecallVector 1 0.0 3.9221 1.0+  , FastRecallVector 1 0.0 100.0 1.0+  , FastRecallVector 1 0.0 36500.0 1.0+  , FastRecallVector 1 1.1574074074074073e-5 0.0001 0.8844004657781895+  , FastRecallVector 1 1.1574074074074073e-5 0.01 0.9983410883786962+  , FastRecallVector 1 1.1574074074074073e-5 1.0 0.9999863320148057+  , FastRecallVector 1 1.1574074074074073e-5 3.9221 0.9999966968900681+  , FastRecallVector 1 1.1574074074074073e-5 100.0 0.9999998848012994+  , FastRecallVector 1 1.1574074074074073e-5 36500.0 0.9999999997372572+  , FastRecallVector 1 0.0006944444444444445 0.0001 0.5655214367799205+  , FastRecallVector 1 0.0006944444444444445 0.01 0.9272347754571629+  , FastRecallVector 1 0.0006944444444444445 1.0 0.9991823199427969+  , FastRecallVector 1 0.0006944444444444445 3.9221 0.9998019493084167+  , FastRecallVector 1 0.0006944444444444445 100.0 0.9999930882309652+  , FastRecallVector 1 0.0006944444444444445 36500.0 0.9999999842354295+  , FastRecallVector 1 0.006944444444444444 0.0001 0.42685044489659973+  , FastRecallVector 1 0.006944444444444444 0.01 0.745636395742636+  , FastRecallVector 1 0.006944444444444444 1.0 0.9920349655798718+  , FastRecallVector 1 0.006944444444444444 3.9221 0.9980318254414419+  , FastRecallVector 1 0.006944444444444444 100.0 0.9999308963091021+  , FastRecallVector 1 0.006944444444444444 36500.0 0.9999998423543586+  , FastRecallVector 1 0.25 0.0001 0.275086534818235+  , FastRecallVector 1 0.25 0.01 0.4600086052404927+  , FastRecallVector 1 0.25 1.0 0.846215573159978+  , FastRecallVector 1 0.25 3.9221 0.9424039837152947+  , FastRecallVector 1 0.25 100.0 0.9975316734870963+  , FastRecallVector 1 0.25 36500.0 0.9999943248456091+  , FastRecallVector 1 1.0 0.0001 0.2320796415793974+  , FastRecallVector 1 1.0 0.01 0.379159469837454+  , FastRecallVector 1 1.0 1.0 0.712382+  , FastRecallVector 1 1.0 3.9221 0.8471632913574345+  , FastRecallVector 1 1.0 100.0 0.9903571366342847+  , FastRecallVector 1 1.0 36500.0 0.9999773004771466+  , FastRecallVector 1 3.0 0.0001 0.2028269824123318+  , FastRecallVector 1 3.0 0.01 0.3252352602214052+  , FastRecallVector 1 3.0 1.0 0.6059898723769258+  , FastRecallVector 1 3.0 3.9221 0.7399173433814594+  , FastRecallVector 1 3.0 100.0 0.9727367044865721+  , FastRecallVector 1 3.0 36500.0 0.9999319101872398+  , FastRecallVector 1 7.5 0.0001 0.18126944452711868+  , FastRecallVector 1 7.5 0.01 0.28616015046150234+  , FastRecallVector 1 7.5 1.0 0.5259275192148761+  , FastRecallVector 1 7.5 3.9221 0.6466706129261264+  , FastRecallVector 1 7.5 100.0 0.9393942428488806+  , FastRecallVector 1 7.5 36500.0 0.9998298246944654+  , FastRecallVector 1 30.0 0.0001 0.15292950358545299+  , FastRecallVector 1 30.0 0.01 0.23577358736201828+  , FastRecallVector 1 30.0 1.0 0.4226763069795214+  , FastRecallVector 1 30.0 3.9221 0.5188438930624684+  , FastRecallVector 1 30.0 100.0 0.838196690202147+  , FastRecallVector 1 30.0 36500.0 0.999320281232652+  , FastRecallVector 1 365.0 0.0001 0.11256717032197745+  , FastRecallVector 1 365.0 0.01 0.16629403422367212+  , FastRecallVector 1 365.0 1.0 0.28415033817320634+  , FastRecallVector 1 365.0 3.9221 0.34414115593651684+  , FastRecallVector 1 365.0 100.0 0.5755470142498635+  , FastRecallVector 1 365.0 36500.0 0.9919032354685755+  , FastRecallVector 1 3650.0 0.0001 0.08487449279718141+  , FastRecallVector 1 3650.0 0.01 0.12054708690261254+  , FastRecallVector 1 3650.0 1.0 0.19696322659569285+  , FastRecallVector 1 3650.0 3.9221 0.23516400470435175+  , FastRecallVector 1 3650.0 100.0 0.382086610632168+  , FastRecallVector 1 3650.0 36500.0 0.9323428123521598+  , FastRecallVector 2 0.0 0.0001 1.0+  , FastRecallVector 2 0.0 0.01 1.0+  , FastRecallVector 2 0.0 1.0 1.0+  , FastRecallVector 2 0.0 3.9221 1.0+  , FastRecallVector 2 0.0 100.0 1.0+  , FastRecallVector 2 0.0 36500.0 1.0+  , FastRecallVector 2 1.1574074074074073e-5 0.0001 0.8242423333800115+  , FastRecallVector 2 1.1574074074074073e-5 0.01 0.9965472580837926+  , FastRecallVector 2 1.1574074074074073e-5 1.0 0.9998062799932467+  , FastRecallVector 2 1.1574074074074073e-5 3.9221 0.9998726518720278+  , FastRecallVector 2 1.1574074074074073e-5 100.0 0.9997964400662621+  , FastRecallVector 2 1.1574074074074073e-5 36500.0 0.797837681586641+  , FastRecallVector 2 0.0006944444444444445 0.0001 0.07863351328998766+  , FastRecallVector 2 0.0006944444444444445 0.01 0.838071986580995+  , FastRecallVector 2 0.0006944444444444445 1.0 0.9887064516724984+  , FastRecallVector 2 0.0006944444444444445 3.9221 0.9925345458323506+  , FastRecallVector 2 0.0006944444444444445 100.0 0.9884969433994782+  , FastRecallVector 2 0.0006944444444444445 36500.0 0.686693304140361+  , FastRecallVector 2 0.006944444444444444 0.0001 0.009375039560579244+  , FastRecallVector 2 0.006944444444444444 0.01 0.42199783981577405+  , FastRecallVector 2 0.006944444444444444 1.0 0.9094312148050276+  , FastRecallVector 2 0.006944444444444444 3.9221 0.9378223077885313+  , FastRecallVector 2 0.006944444444444444 100.0 0.9219699132303174+  , FastRecallVector 2 0.006944444444444444 36500.0 0.6311092800785385+  , FastRecallVector 2 0.25 0.0001 0.0003136442688646113+  , FastRecallVector 2 0.25 0.01 0.066147703763706+  , FastRecallVector 2 0.25 1.0 0.4952416030137906+  , FastRecallVector 2 0.25 3.9221 0.5952061073025883+  , FastRecallVector 2 0.25 100.0 0.6725319313419971+  , FastRecallVector 2 0.25 36500.0 0.5534170235601299+  , FastRecallVector 2 1.0 0.0001 8.405118585714037e-5+  , FastRecallVector 2 1.0 0.01 0.030856507802529604+  , FastRecallVector 2 1.0 1.0 0.35787700000000006+  , FastRecallVector 2 1.0 3.9221 0.46227678913869563+  , FastRecallVector 2 1.0 100.0 0.5819469322679293+  , FastRecallVector 2 1.0 36500.0 0.5259951598653689+  , FastRecallVector 2 3.0 0.0001 2.9600071583764095e-5+  , FastRecallVector 2 3.0 0.01 0.016832588369560884+  , FastRecallVector 2 3.0 1.0 0.275076143605072+  , FastRecallVector 2 3.0 3.9221 0.3763824445221876+  , FastRecallVector 2 3.0 100.0 0.5183576730835542+  , FastRecallVector 2 3.0 36500.0 0.5052322662412635+  , FastRecallVector 2 7.5 0.0001 1.2395212758468752e-5+  , FastRecallVector 2 7.5 0.01 0.01015025571223255+  , FastRecallVector 2 7.5 1.0 0.22060007032572151+  , FastRecallVector 2 7.5 3.9221 0.316721587123548+  , FastRecallVector 2 7.5 100.0 0.47056325904847857+  , FastRecallVector 2 7.5 36500.0 0.48854333733999644+  , FastRecallVector 2 30.0 0.0001 3.321231208342476e-6+  , FastRecallVector 2 30.0 0.01 0.004720996863201854+  , FastRecallVector 2 30.0 1.0 0.15786612140479306+  , FastRecallVector 2 30.0 3.9221 0.24377880360808532+  , FastRecallVector 2 30.0 100.0 0.40644454947367104+  , FastRecallVector 2 30.0 36500.0 0.464335969471123+  , FastRecallVector 2 365.0 0.0001 3.093048488862336e-7+  , FastRecallVector 2 365.0 0.01 0.001187849814795759+  , FastRecallVector 2 365.0 1.0 0.0863255467691219+  , FastRecallVector 2 365.0 3.9221 0.1520133706986155+  , FastRecallVector 2 365.0 100.0 0.312101131535636+  , FastRecallVector 2 365.0 36500.0 0.42369300203013316+  , FastRecallVector 2 3650.0 0.0001 3.4704579015469925e-8+  , FastRecallVector 2 3650.0 0.01 0.0003330526740963906+  , FastRecallVector 2 3650.0 1.0 0.049490981971068854+  , FastRecallVector 2 3650.0 3.9221 0.09836262621163125+  , FastRecallVector 2 3650.0 100.0 0.24467251813551136+  , FastRecallVector 2 3650.0 36500.0 0.3893969446308483+  ]++-- | Initial and subsequent difficulty. The retrievability only+--   matters on a lapse, where it weights the step.+data DifficultyVector = DifficultyVector+  { dvParams :: !Int+  , dvDifficulty :: !(Maybe Double)+    -- ^ 'Nothing' for the initial difficulty of a brand-new card.+  , dvRetrievability :: !Double+  , dvRating :: !Int+  , dvNextDifficulty :: !Double+  }+  deriving stock (Eq, Show)++goldenDifficultyVectors :: [DifficultyVector]+goldenDifficultyVectors =+  [ DifficultyVector 0 Nothing 1.0 1 6.1686+  , DifficultyVector 0 Nothing 1.0 2 5.261278312731786+  , DifficultyVector 0 Nothing 1.0 3 3.5307239812763354+  , DifficultyVector 0 Nothing 1.0 4 1.0+  , DifficultyVector 0 (Just 1.0) 0.05 1 2.0854679017389546+  , DifficultyVector 0 (Just 1.0) 0.05 2 4.636193001738953+  , DifficultyVector 0 (Just 1.0) 0.05 3 1.0+  , DifficultyVector 0 (Just 1.0) 0.05 4 1.0+  , DifficultyVector 0 (Just 1.0) 0.5 1 5.3649716017389535+  , DifficultyVector 0 (Just 1.0) 0.5 2 4.636193001738953+  , DifficultyVector 0 (Just 1.0) 0.5 3 1.0+  , DifficultyVector 0 (Just 1.0) 0.5 4 1.0+  , DifficultyVector 0 (Just 1.0) 0.95 1 8.644475301738954+  , DifficultyVector 0 (Just 1.0) 0.95 2 4.636193001738953+  , DifficultyVector 0 (Just 1.0) 0.95 3 1.0+  , DifficultyVector 0 (Just 1.0) 0.95 4 1.0+  , DifficultyVector 0 (Just 2.5) 0.05 1 3.3882732517389544+  , DifficultyVector 0 (Just 2.5) 0.05 2 5.513877501738953+  , DifficultyVector 0 (Just 2.5) 0.05 3 2.4773000017389544+  , DifficultyVector 0 (Just 2.5) 0.05 4 1.0+  , DifficultyVector 0 (Just 2.5) 0.5 1 6.121193001738954+  , DifficultyVector 0 (Just 2.5) 0.5 2 5.513877501738953+  , DifficultyVector 0 (Just 2.5) 0.5 3 2.4773000017389544+  , DifficultyVector 0 (Just 2.5) 0.5 4 1.0+  , DifficultyVector 0 (Just 2.5) 0.95 1 8.854112751738953+  , DifficultyVector 0 (Just 2.5) 0.95 2 5.513877501738953+  , DifficultyVector 0 (Just 2.5) 0.95 3 2.4773000017389544+  , DifficultyVector 0 (Just 2.5) 0.95 4 1.0+  , DifficultyVector 0 (Just 3.5307239812763354) 0.05 1 4.28349506319236+  , DifficultyVector 0 (Just 3.5307239812763354) 0.05 2 6.116977809835307+  , DifficultyVector 0 (Just 3.5307239812763354) 0.05 3 3.4977167432025262+  , DifficultyVector 0 (Just 3.5307239812763354) 0.05 4 1.0+  , DifficultyVector 0 (Just 3.5307239812763354) 0.5 1 6.640830023161864+  , DifficultyVector 0 (Just 3.5307239812763354) 0.5 2 6.116977809835307+  , DifficultyVector 0 (Just 3.5307239812763354) 0.5 3 3.4977167432025262+  , DifficultyVector 0 (Just 3.5307239812763354) 0.5 4 1.0+  , DifficultyVector 0 (Just 3.5307239812763354) 0.95 1 8.998164983131367+  , DifficultyVector 0 (Just 3.5307239812763354) 0.95 2 6.116977809835307+  , DifficultyVector 0 (Just 3.5307239812763354) 0.95 3 3.4977167432025262+  , DifficultyVector 0 (Just 3.5307239812763354) 0.95 4 1.0+  , DifficultyVector 0 (Just 7.0) 0.05 1 7.2966893017389545+  , DifficultyVector 0 (Just 7.0) 0.05 2 8.146931001738954+  , DifficultyVector 0 (Just 7.0) 0.05 3 6.9323000017389536+  , DifficultyVector 0 (Just 7.0) 0.05 4 5.717669001738954+  , DifficultyVector 0 (Just 7.0) 0.5 1 8.389857201738954+  , DifficultyVector 0 (Just 7.0) 0.5 2 8.146931001738954+  , DifficultyVector 0 (Just 7.0) 0.5 3 6.9323000017389536+  , DifficultyVector 0 (Just 7.0) 0.5 4 5.717669001738954+  , DifficultyVector 0 (Just 7.0) 0.95 1 9.483025101738953+  , DifficultyVector 0 (Just 7.0) 0.95 2 8.146931001738954+  , DifficultyVector 0 (Just 7.0) 0.95 3 6.9323000017389536+  , DifficultyVector 0 (Just 7.0) 0.95 4 5.717669001738954+  , DifficultyVector 0 (Just 10.0) 0.05 1 9.902300001738954+  , DifficultyVector 0 (Just 10.0) 0.05 2 9.902300001738954+  , DifficultyVector 0 (Just 10.0) 0.05 3 9.902300001738954+  , DifficultyVector 0 (Just 10.0) 0.05 4 9.902300001738954+  , DifficultyVector 0 (Just 10.0) 0.5 1 9.902300001738954+  , DifficultyVector 0 (Just 10.0) 0.5 2 9.902300001738954+  , DifficultyVector 0 (Just 10.0) 0.5 3 9.902300001738954+  , DifficultyVector 0 (Just 10.0) 0.5 4 9.902300001738954+  , DifficultyVector 0 (Just 10.0) 0.95 1 9.902300001738954+  , DifficultyVector 0 (Just 10.0) 0.95 2 9.902300001738954+  , DifficultyVector 0 (Just 10.0) 0.95 3 9.902300001738954+  , DifficultyVector 0 (Just 10.0) 0.95 4 9.902300001738954+  , DifficultyVector 1 Nothing 1.0 1 8.15903+  , DifficultyVector 1 Nothing 1.0 2 1.7511448034338732+  , DifficultyVector 1 Nothing 1.0 3 1.0+  , DifficultyVector 1 Nothing 1.0 4 1.0+  , DifficultyVector 1 (Just 1.0) 0.05 1 1.0+  , DifficultyVector 1 (Just 1.0) 0.05 2 1.0+  , DifficultyVector 1 (Just 1.0) 0.05 3 1.0+  , DifficultyVector 1 (Just 1.0) 0.05 4 1.0+  , DifficultyVector 1 (Just 1.0) 0.5 1 1.0+  , DifficultyVector 1 (Just 1.0) 0.5 2 1.0+  , DifficultyVector 1 (Just 1.0) 0.5 3 1.0+  , DifficultyVector 1 (Just 1.0) 0.5 4 1.0+  , DifficultyVector 1 (Just 1.0) 0.95 1 1.7156461830343153+  , DifficultyVector 1 (Just 1.0) 0.95 2 1.0+  , DifficultyVector 1 (Just 1.0) 0.95 3 1.0+  , DifficultyVector 1 (Just 1.0) 0.95 4 1.0+  , DifficultyVector 1 (Just 2.5) 0.05 1 1.0+  , DifficultyVector 1 (Just 2.5) 0.05 2 1.0+  , DifficultyVector 1 (Just 2.5) 0.05 3 1.0+  , DifficultyVector 1 (Just 2.5) 0.05 4 1.0+  , DifficultyVector 1 (Just 2.5) 0.5 1 1.0+  , DifficultyVector 1 (Just 2.5) 0.5 2 1.0+  , DifficultyVector 1 (Just 2.5) 0.5 3 1.0+  , DifficultyVector 1 (Just 2.5) 0.5 4 1.0+  , DifficultyVector 1 (Just 2.5) 0.95 1 2.417435601034316+  , DifficultyVector 1 (Just 2.5) 0.95 2 1.0+  , DifficultyVector 1 (Just 2.5) 0.95 3 1.0+  , DifficultyVector 1 (Just 2.5) 0.95 4 1.0+  , DifficultyVector 1 (Just 3.5307239812763354) 0.05 1 1.0+  , DifficultyVector 1 (Just 3.5307239812763354) 0.05 2 1.1303090946385872+  , DifficultyVector 1 (Just 3.5307239812763354) 0.05 3 1.0+  , DifficultyVector 1 (Just 3.5307239812763354) 0.05 4 1.0+  , DifficultyVector 1 (Just 3.5307239812763354) 0.5 1 1.4520110270667272+  , DifficultyVector 1 (Just 3.5307239812763354) 0.5 2 1.1303090946385872+  , DifficultyVector 1 (Just 3.5307239812763354) 0.5 3 1.0+  , DifficultyVector 1 (Just 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2.2104678510343154+  , DifficultyVector 1 (Just 10.0) 0.05 1 5.926382691034315+  , DifficultyVector 1 (Just 10.0) 0.05 2 5.926382691034315+  , DifficultyVector 1 (Just 10.0) 0.05 3 5.926382691034315+  , DifficultyVector 1 (Just 10.0) 0.05 4 5.926382691034315+  , DifficultyVector 1 (Just 10.0) 0.5 1 5.926382691034315+  , DifficultyVector 1 (Just 10.0) 0.5 2 5.926382691034315+  , DifficultyVector 1 (Just 10.0) 0.5 3 5.926382691034315+  , DifficultyVector 1 (Just 10.0) 0.5 4 5.926382691034315+  , DifficultyVector 1 (Just 10.0) 0.95 1 5.926382691034315+  , DifficultyVector 1 (Just 10.0) 0.95 2 5.926382691034315+  , DifficultyVector 1 (Just 10.0) 0.95 3 5.926382691034315+  , DifficultyVector 1 (Just 10.0) 0.95 4 5.926382691034315+  , DifficultyVector 2 Nothing 1.0 1 7.614116+  , DifficultyVector 2 Nothing 1.0 2 5.356124178155698+  , DifficultyVector 2 Nothing 1.0 3 1.0+  , DifficultyVector 2 Nothing 1.0 4 1.0+  , DifficultyVector 2 (Just 1.0) 0.05 1 1.0+  , DifficultyVector 2 (Just 1.0) 0.05 2 1.1172835591001746+  , DifficultyVector 2 (Just 1.0) 0.05 3 1.0+  , DifficultyVector 2 (Just 1.0) 0.05 4 1.0+  , DifficultyVector 2 (Just 1.0) 0.5 1 1.1946760171001747+  , DifficultyVector 2 (Just 1.0) 0.5 2 1.1172835591001746+  , DifficultyVector 2 (Just 1.0) 0.5 3 1.0+  , DifficultyVector 2 (Just 1.0) 0.5 4 1.0+  , DifficultyVector 2 (Just 1.0) 0.95 1 1.5429420781001746+  , DifficultyVector 2 (Just 1.0) 0.95 2 1.1172835591001746+  , DifficultyVector 2 (Just 1.0) 0.95 3 1.0+  , DifficultyVector 2 (Just 1.0) 0.95 4 1.0+  , DifficultyVector 2 (Just 2.5) 0.05 1 2.312061841600175+  , DifficultyVector 2 (Just 2.5) 0.05 2 2.5377898441001747+  , DifficultyVector 2 (Just 2.5) 0.05 3 2.215321269100175+  , DifficultyVector 2 (Just 2.5) 0.05 4 1.8928526941001744+  , DifficultyVector 2 (Just 2.5) 0.5 1 2.6022835591001745+  , DifficultyVector 2 (Just 2.5) 0.5 2 2.5377898441001747+  , DifficultyVector 2 (Just 2.5) 0.5 3 2.215321269100175+  , DifficultyVector 2 (Just 2.5) 0.5 4 1.8928526941001744+  , DifficultyVector 2 (Just 2.5) 0.95 1 2.892505276600175+  , DifficultyVector 2 (Just 2.5) 0.95 2 2.5377898441001747+  , DifficultyVector 2 (Just 2.5) 0.95 3 2.215321269100175+  , DifficultyVector 2 (Just 2.5) 0.95 4 1.8928526941001744+  , DifficultyVector 2 (Just 3.5307239812763354) 0.05 1 3.319183539325327+  , DifficultyVector 2 (Just 3.5307239812763354) 0.05 2 3.513889773102346+  , DifficultyVector 2 (Just 3.5307239812763354) 0.05 3 3.2357380105637468+  , DifficultyVector 2 (Just 3.5307239812763354) 0.05 4 2.9575862480251476+  , DifficultyVector 2 (Just 3.5307239812763354) 0.5 1 3.5695201256100657+  , DifficultyVector 2 (Just 3.5307239812763354) 0.5 2 3.513889773102346+  , DifficultyVector 2 (Just 3.5307239812763354) 0.5 3 3.2357380105637468+  , DifficultyVector 2 (Just 3.5307239812763354) 0.5 4 2.9575862480251476+  , DifficultyVector 2 (Just 3.5307239812763354) 0.95 1 3.819856711894805+  , DifficultyVector 2 (Just 3.5307239812763354) 0.95 2 3.513889773102346+  , DifficultyVector 2 (Just 3.5307239812763354) 0.95 3 3.2357380105637468+  , DifficultyVector 2 (Just 3.5307239812763354) 0.95 4 2.9575862480251476+  , DifficultyVector 2 (Just 7.0) 0.05 1 6.709017498100175+  , DifficultyVector 2 (Just 7.0) 0.05 2 6.799308699100174+  , DifficultyVector 2 (Just 7.0) 0.05 3 6.6703212691001745+  , DifficultyVector 2 (Just 7.0) 0.05 4 6.541333839100175+  , DifficultyVector 2 (Just 7.0) 0.5 1 6.825106185100174+  , DifficultyVector 2 (Just 7.0) 0.5 2 6.799308699100174+  , DifficultyVector 2 (Just 7.0) 0.5 3 6.6703212691001745+  , DifficultyVector 2 (Just 7.0) 0.5 4 6.541333839100175+  , DifficultyVector 2 (Just 7.0) 0.95 1 6.941194872100175+  , DifficultyVector 2 (Just 7.0) 0.95 2 6.799308699100174+  , DifficultyVector 2 (Just 7.0) 0.95 3 6.6703212691001745+  , DifficultyVector 2 (Just 7.0) 0.95 4 6.541333839100175+  , DifficultyVector 2 (Just 10.0) 0.05 1 9.640321269100175+  , DifficultyVector 2 (Just 10.0) 0.05 2 9.640321269100175+  , DifficultyVector 2 (Just 10.0) 0.05 3 9.640321269100175+  , DifficultyVector 2 (Just 10.0) 0.05 4 9.640321269100175+  , DifficultyVector 2 (Just 10.0) 0.5 1 9.640321269100175+  , DifficultyVector 2 (Just 10.0) 0.5 2 9.640321269100175+  , DifficultyVector 2 (Just 10.0) 0.5 3 9.640321269100175+  , DifficultyVector 2 (Just 10.0) 0.5 4 9.640321269100175+  , DifficultyVector 2 (Just 10.0) 0.95 1 9.640321269100175+  , DifficultyVector 2 (Just 10.0) 0.95 2 9.640321269100175+  , DifficultyVector 2 (Just 10.0) 0.95 3 9.640321269100175+  , DifficultyVector 2 (Just 10.0) 0.95 4 9.640321269100175+  ]++-- | One trace's stability update, before the lapse cap is applied.+data HalfStabilityVector = HalfStabilityVector+  { hsParams :: !Int+  , hsSlowTrace :: !Bool+    -- ^ 'True' for the slow trace's block, 'False' for the fast one's.+  , hsStability :: !Double+  , hsDifficulty :: !Double+  , hsRetrievability :: !Double+  , hsRating :: !Int+  , hsNextStability :: !Double+  }+  deriving stock (Eq, Show)++goldenHalfStabilityVectors :: [HalfStabilityVector]+goldenHalfStabilityVectors =+  [ HalfStabilityVector 0 True 0.01 1.0 0.05 1 0.009117697887342275+  , HalfStabilityVector 0 False 0.01 1.0 0.05 1 0.0024104195051093086+  , HalfStabilityVector 0 True 0.01 1.0 0.05 2 0.29100022497763484+  , HalfStabilityVector 0 False 0.01 1.0 0.05 2 43.40579452226374+  , HalfStabilityVector 0 True 0.01 1.0 0.05 3 0.4492001015592917+  , HalfStabilityVector 0 False 0.01 1.0 0.05 3 70.43485316823067+  , HalfStabilityVector 0 True 0.01 1.0 0.05 4 0.4492001015592917+  , HalfStabilityVector 0 False 0.01 1.0 0.05 4 76.55477290854992+  , HalfStabilityVector 0 True 0.01 1.0 0.5 1 0.006319545857512049+  , HalfStabilityVector 0 False 0.01 1.0 0.5 1 0.001042274975825335+  , HalfStabilityVector 0 True 0.01 1.0 0.5 2 0.1129633145130704+  , HalfStabilityVector 0 False 0.01 1.0 0.5 2 6.694342509256355+  , HalfStabilityVector 0 True 0.01 1.0 0.5 3 0.17093046969845324+  , HalfStabilityVector 0 False 0.01 1.0 0.5 3 10.857683397040498+  , HalfStabilityVector 0 True 0.01 1.0 0.5 4 0.17093046969845324+  , HalfStabilityVector 0 False 0.01 1.0 0.5 4 11.800347084243317+  , HalfStabilityVector 0 True 0.01 1.0 0.95 1 0.00438012537140983+  , HalfStabilityVector 0 False 0.01 1.0 0.95 1 0.00045068384276223284+  , HalfStabilityVector 0 True 0.01 1.0 0.95 2 0.01739695301562896+  , HalfStabilityVector 0 False 0.01 1.0 0.95 2 0.2511203496292514+  , HalfStabilityVector 0 True 0.01 1.0 0.95 3 0.021561352009423197+  , HalfStabilityVector 0 False 0.01 1.0 0.95 3 0.4013020928744749+  , HalfStabilityVector 0 True 0.01 1.0 0.95 4 0.021561352009423197+  , HalfStabilityVector 0 False 0.01 1.0 0.95 4 0.4353062447452667+  , HalfStabilityVector 0 True 0.01 3.5307239812763354 0.05 1 0.009117697887342275+  , HalfStabilityVector 0 False 0.01 3.5307239812763354 0.05 1 0.0024104195051093086+  , HalfStabilityVector 0 True 0.01 3.5307239812763354 0.05 2 0.21988682416814023+  , HalfStabilityVector 0 False 0.01 3.5307239812763354 0.05 2 32.42351673386043+  , HalfStabilityVector 0 True 0.01 3.5307239812763354 0.05 3 0.33805067859978155+  , HalfStabilityVector 0 False 0.01 3.5307239812763354 0.05 3 52.61226668916007+  , HalfStabilityVector 0 True 0.01 3.5307239812763354 0.05 4 0.33805067859978155+  , HalfStabilityVector 0 False 0.01 3.5307239812763354 0.05 4 57.18340366444808+  , HalfStabilityVector 0 True 0.01 3.5307239812763354 0.5 1 0.006319545857512049+  , HalfStabilityVector 0 False 0.01 3.5307239812763354 0.5 1 0.001042274975825335+  , HalfStabilityVector 0 True 0.01 3.5307239812763354 0.5 2 0.08690614159007791+  , HalfStabilityVector 0 False 0.01 3.5307239812763354 0.5 2 5.002719920532366+  , HalfStabilityVector 0 True 0.01 3.5307239812763354 0.5 3 0.13020340980005923+  , HalfStabilityVector 0 False 0.01 3.5307239812763354 0.5 3 8.112434145622146+  , HalfStabilityVector 0 True 0.01 3.5307239812763354 0.5 4 0.13020340980005923+  , HalfStabilityVector 0 False 0.01 3.5307239812763354 0.5 4 8.816535672876709+  , HalfStabilityVector 0 True 0.01 3.5307239812763354 0.95 1 0.00438012537140983+  , HalfStabilityVector 0 False 0.01 3.5307239812763354 0.95 1 0.00045068384276223284+  , HalfStabilityVector 0 True 0.01 3.5307239812763354 0.95 2 0.015524988377126308+  , HalfStabilityVector 0 False 0.01 3.5307239812763354 0.95 2 0.19009944451120325+  , HalfStabilityVector 0 True 0.01 3.5307239812763354 0.95 3 0.01863549293080073+  , HalfStabilityVector 0 False 0.01 3.5307239812763354 0.95 3 0.3022743338383695+  , HalfStabilityVector 0 True 0.01 3.5307239812763354 0.95 4 0.01863549293080073+  , HalfStabilityVector 0 False 0.01 3.5307239812763354 0.95 4 0.3276729734489238+  , HalfStabilityVector 0 True 0.01 10.0 0.05 1 0.009117697887342275+  , HalfStabilityVector 0 False 0.01 10.0 0.05 1 0.0024104195051093086+  , HalfStabilityVector 0 True 0.01 10.0 0.05 2 0.03810002249776349+  , HalfStabilityVector 0 False 0.01 10.0 0.05 2 4.349579452226375+  , HalfStabilityVector 0 True 0.01 10.0 0.05 3 0.05392001015592917+  , HalfStabilityVector 0 False 0.01 10.0 0.05 3 7.052485316823069+  , HalfStabilityVector 0 True 0.01 10.0 0.05 4 0.05392001015592917+  , HalfStabilityVector 0 False 0.01 10.0 0.05 4 7.664477290854993+  , HalfStabilityVector 0 True 0.01 10.0 0.5 1 0.006319545857512049+  , HalfStabilityVector 0 False 0.01 10.0 0.5 1 0.001042274975825335+  , HalfStabilityVector 0 True 0.01 10.0 0.5 2 0.02029633145130704+  , HalfStabilityVector 0 False 0.01 10.0 0.5 2 0.6784342509256355+  , HalfStabilityVector 0 True 0.01 10.0 0.5 3 0.026093046969845324+  , HalfStabilityVector 0 False 0.01 10.0 0.5 3 1.0947683397040497+  , HalfStabilityVector 0 True 0.01 10.0 0.5 4 0.026093046969845324+  , HalfStabilityVector 0 False 0.01 10.0 0.5 4 1.1890347084243318+  , HalfStabilityVector 0 True 0.01 10.0 0.95 1 0.00438012537140983+  , HalfStabilityVector 0 False 0.01 10.0 0.95 1 0.00045068384276223284+  , HalfStabilityVector 0 True 0.01 10.0 0.95 2 0.010739695301562895+  , HalfStabilityVector 0 False 0.01 10.0 0.95 2 0.03411203496292514+  , HalfStabilityVector 0 True 0.01 10.0 0.95 3 0.01115613520094232+  , HalfStabilityVector 0 False 0.01 10.0 0.95 3 0.049130209287447484+  , HalfStabilityVector 0 True 0.01 10.0 0.95 4 0.01115613520094232+  , HalfStabilityVector 0 False 0.01 10.0 0.95 4 0.052530624474526666+  , HalfStabilityVector 0 True 1.0 1.0 0.05 1 0.7852258277795375+  , HalfStabilityVector 0 False 1.0 1.0 0.05 1 0.17338546611409061+  , HalfStabilityVector 0 True 1.0 1.0 0.05 2 29.100022497763483+  , HalfStabilityVector 0 False 1.0 1.0 0.05 2 198.7186534937513+  , HalfStabilityVector 0 True 1.0 1.0 0.05 3 44.92001015592917+  , HalfStabilityVector 0 False 1.0 1.0 0.05 3 321.86766227483173+  , HalfStabilityVector 0 True 1.0 1.0 0.05 4 44.92001015592917+  , HalfStabilityVector 0 False 1.0 1.0 0.05 4 349.7510621265146+  , HalfStabilityVector 0 True 1.0 1.0 0.5 1 0.5442460024963717+  , HalfStabilityVector 0 False 1.0 1.0 0.5 1 0.07497256478362802+  , HalfStabilityVector 0 True 1.0 1.0 0.5 2 11.29633145130704+  , HalfStabilityVector 0 False 1.0 1.0 0.5 2 31.45500641181179+  , HalfStabilityVector 0 True 1.0 1.0 0.5 3 17.093046969845325+  , HalfStabilityVector 0 False 1.0 1.0 0.5 3 50.42389875334598+  , HalfStabilityVector 0 True 1.0 1.0 0.5 4 17.093046969845325+  , HalfStabilityVector 0 False 1.0 1.0 0.5 4 54.718835555011744+  , HalfStabilityVector 0 True 1.0 1.0 0.95 1 0.37722104998874756+  , HalfStabilityVector 0 False 1.0 1.0 0.95 1 0.032418435040781686+  , HalfStabilityVector 0 True 1.0 1.0 0.95 2 1.739695301562896+  , HalfStabilityVector 0 False 1.0 1.0 0.95 2 2.0985855054267875+  , HalfStabilityVector 0 True 1.0 1.0 0.95 3 2.1561352009423196+  , HalfStabilityVector 0 False 1.0 1.0 0.95 3 2.7828391843992004+  , HalfStabilityVector 0 True 1.0 1.0 0.95 4 2.1561352009423196+  , HalfStabilityVector 0 False 1.0 1.0 0.95 4 2.937767909523491+  , HalfStabilityVector 0 True 1.0 3.5307239812763354 0.05 1 0.7852258277795375+  , HalfStabilityVector 0 False 1.0 3.5307239812763354 0.05 1 0.17338546611409061+  , HalfStabilityVector 0 True 1.0 3.5307239812763354 0.05 2 21.988682416814022+  , HalfStabilityVector 0 False 1.0 3.5307239812763354 0.05 2 148.68151969952106+  , HalfStabilityVector 0 True 1.0 3.5307239812763354 0.05 3 33.80506785997815+  , HalfStabilityVector 0 False 1.0 3.5307239812763354 0.05 3 240.66491350133248+  , HalfStabilityVector 0 True 1.0 3.5307239812763354 0.05 4 33.80506785997815+  , HalfStabilityVector 0 False 1.0 3.5307239812763354 0.05 4 261.49179448459824+  , HalfStabilityVector 0 True 1.0 3.5307239812763354 0.5 1 0.5442460024963717+  , HalfStabilityVector 0 False 1.0 3.5307239812763354 0.5 1 0.07497256478362802+  , HalfStabilityVector 0 True 1.0 3.5307239812763354 0.5 2 8.69061415900779+  , HalfStabilityVector 0 False 1.0 3.5307239812763354 0.5 2 23.74768490418213+  , HalfStabilityVector 0 True 1.0 3.5307239812763354 0.5 3 13.020340980005923+  , HalfStabilityVector 0 False 1.0 3.5307239812763354 0.5 3 37.91607417101936+  , HalfStabilityVector 0 True 1.0 3.5307239812763354 0.5 4 13.020340980005923+  , HalfStabilityVector 0 False 1.0 3.5307239812763354 0.5 4 41.12408101648094+  , HalfStabilityVector 0 True 1.0 3.5307239812763354 0.95 1 0.37722104998874756+  , HalfStabilityVector 0 False 1.0 3.5307239812763354 0.95 1 0.032418435040781686+  , HalfStabilityVector 0 True 1.0 3.5307239812763354 0.95 2 1.5524988377126308+  , HalfStabilityVector 0 False 1.0 3.5307239812763354 0.95 2 1.8205638370201718+  , HalfStabilityVector 0 True 1.0 3.5307239812763354 0.95 3 1.863549293080073+  , HalfStabilityVector 0 False 1.0 3.5307239812763354 0.95 3 2.331651796527381+  , HalfStabilityVector 0 True 1.0 3.5307239812763354 0.95 4 1.863549293080073+  , HalfStabilityVector 0 False 1.0 3.5307239812763354 0.95 4 2.44737233764561+  , HalfStabilityVector 0 True 1.0 10.0 0.05 1 0.7852258277795375+  , HalfStabilityVector 0 False 1.0 10.0 0.05 1 0.17338546611409061+  , HalfStabilityVector 0 True 1.0 10.0 0.05 2 3.8100022497763484+  , HalfStabilityVector 0 False 1.0 10.0 0.05 2 20.77186534937513+  , HalfStabilityVector 0 True 1.0 10.0 0.05 3 5.392001015592917+  , HalfStabilityVector 0 False 1.0 10.0 0.05 3 33.086766227483174+  , HalfStabilityVector 0 True 1.0 10.0 0.05 4 5.392001015592917+  , HalfStabilityVector 0 False 1.0 10.0 0.05 4 35.87510621265146+  , HalfStabilityVector 0 True 1.0 10.0 0.5 1 0.5442460024963717+  , HalfStabilityVector 0 False 1.0 10.0 0.5 1 0.07497256478362802+  , HalfStabilityVector 0 True 1.0 10.0 0.5 2 2.029633145130704+  , HalfStabilityVector 0 False 1.0 10.0 0.5 2 4.04550064118118+  , HalfStabilityVector 0 True 1.0 10.0 0.5 3 2.609304696984532+  , HalfStabilityVector 0 False 1.0 10.0 0.5 3 5.942389875334598+  , HalfStabilityVector 0 True 1.0 10.0 0.5 4 2.609304696984532+  , HalfStabilityVector 0 False 1.0 10.0 0.5 4 6.371883555501174+  , HalfStabilityVector 0 True 1.0 10.0 0.95 1 0.37722104998874756+  , HalfStabilityVector 0 False 1.0 10.0 0.95 1 0.032418435040781686+  , HalfStabilityVector 0 True 1.0 10.0 0.95 2 1.0739695301562895+  , HalfStabilityVector 0 False 1.0 10.0 0.95 2 1.1098585505426788+  , HalfStabilityVector 0 True 1.0 10.0 0.95 3 1.1156135200942319+  , HalfStabilityVector 0 False 1.0 10.0 0.95 3 1.17828391843992+  , HalfStabilityVector 0 True 1.0 10.0 0.95 4 1.1156135200942319+  , HalfStabilityVector 0 False 1.0 10.0 0.95 4 1.1937767909523491+  , HalfStabilityVector 0 True 3.9221 1.0 0.05 1 2.4389022348225784+  , HalfStabilityVector 0 False 3.9221 1.0 0.05 1 0.41609622979421645+  , HalfStabilityVector 0 True 3.9221 1.0 0.05 2 114.13319823847816+  , HalfStabilityVector 0 False 3.9221 1.0 0.05 2 314.01608325549387+  , HalfStabilityVector 0 True 3.9221 1.0 0.05 3 176.1807718325698+  , HalfStabilityVector 0 False 3.9221 1.0 0.05 3 507.15803517606923+  , HalfStabilityVector 0 True 3.9221 1.0 0.05 4 176.1807718325698+  , HalfStabilityVector 0 False 3.9221 1.0 0.05 4 550.8892379428696+  , HalfStabilityVector 0 True 3.9221 1.0 0.5 1 1.6904217166864894+  , HalfStabilityVector 0 False 3.9221 1.0 0.5 1 0.1799216638143297+  , HalfStabilityVector 0 True 3.9221 1.0 0.5 2 44.30534158517134+  , HalfStabilityVector 0 False 3.9221 1.0 0.5 2 51.68650705736846+  , HalfStabilityVector 0 True 3.9221 1.0 0.5 3 67.04063952043035+  , HalfStabilityVector 0 False 3.9221 1.0 0.5 3 81.43655481559308+  , HalfStabilityVector 0 True 3.9221 1.0 0.5 4 67.04063952043035+  , HalfStabilityVector 0 False 3.9221 1.0 0.5 4 88.17256093906812+  , HalfStabilityVector 0 True 3.9221 1.0 0.95 1 1.1716441682022456+  , HalfStabilityVector 0 False 3.9221 1.0 0.95 1 0.07779884265167795+  , HalfStabilityVector 0 True 3.9221 1.0 0.95 2 6.823258942259834+  , HalfStabilityVector 0 False 3.9221 1.0 0.95 2 5.645077318047074+  , HalfStabilityVector 0 True 3.9221 1.0 0.95 3 8.456577871615872+  , HalfStabilityVector 0 False 3.9221 1.0 0.95 3 6.718233265250039+  , HalfStabilityVector 0 True 3.9221 1.0 0.95 4 8.456577871615872+  , HalfStabilityVector 0 False 3.9221 1.0 0.95 4 6.961217246000268+  , HalfStabilityVector 0 True 3.9221 3.5307239812763354 0.05 1 2.4389022348225784+  , HalfStabilityVector 0 False 3.9221 3.5307239812763354 0.05 1 0.41609622979421645+  , HalfStabilityVector 0 True 3.9221 3.5307239812763354 0.05 2 86.24181130698628+  , HalfStabilityVector 0 False 3.9221 3.5307239812763354 0.05 2 235.53985526807577+  , HalfStabilityVector 0 True 3.9221 3.5307239812763354 0.05 3 132.58685665362032+  , HalfStabilityVector 0 False 3.9221 3.5307239812763354 0.05 3 379.80291023705905+  , HalfStabilityVector 0 True 3.9221 3.5307239812763354 0.05 4 132.58685665362032+  , HalfStabilityVector 0 False 3.9221 3.5307239812763354 0.05 4 412.4669526466595+  , HalfStabilityVector 0 True 3.9221 3.5307239812763354 0.5 1 1.6904217166864894+  , HalfStabilityVector 0 False 3.9221 3.5307239812763354 0.5 1 0.1799216638143297+  , HalfStabilityVector 0 True 3.9221 3.5307239812763354 0.5 2 34.085457793044455+  , HalfStabilityVector 0 False 3.9221 3.5307239812763354 0.5 2 39.59865401821576+  , HalfStabilityVector 0 True 3.9221 3.5307239812763354 0.5 3 51.06707935768123+  , HalfStabilityVector 0 False 3.9221 3.5307239812763354 0.5 3 61.81978584585485+  , HalfStabilityVector 0 True 3.9221 3.5307239812763354 0.5 4 51.06707935768123+  , HalfStabilityVector 0 False 3.9221 3.5307239812763354 0.5 4 66.85109474585964+  , HalfStabilityVector 0 True 3.9221 3.5307239812763354 0.95 1 1.1716441682022456+  , HalfStabilityVector 0 False 3.9221 3.5307239812763354 0.95 1 0.07779884265167795+  , HalfStabilityVector 0 True 3.9221 3.5307239812763354 0.95 2 6.0890556913927085+  , HalfStabilityVector 0 False 3.9221 3.5307239812763354 0.95 2 5.209039316249383+  , HalfStabilityVector 0 True 3.9221 3.5307239812763354 0.95 3 7.309026682389354+  , HalfStabilityVector 0 False 3.9221 3.5307239812763354 0.95 3 6.010609114328761+  , HalfStabilityVector 0 True 3.9221 3.5307239812763354 0.95 4 7.309026682389354+  , 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10.0 0.05 2 8.50395177621104+  , HalfStabilityVector 2 False 1.0 10.0 0.05 2 95.55671840872996+  , HalfStabilityVector 2 True 1.0 10.0 0.05 3 26.277320587509603+  , HalfStabilityVector 2 False 1.0 10.0 0.05 3 133.76018854500674+  , HalfStabilityVector 2 True 1.0 10.0 0.05 4 116.5258482646363+  , HalfStabilityVector 2 False 1.0 10.0 0.05 4 682.4571184801998+  , HalfStabilityVector 2 True 1.0 10.0 0.5 1 1.0+  , HalfStabilityVector 2 False 1.0 10.0 0.5 1 0.3867882459298044+  , HalfStabilityVector 2 True 1.0 10.0 0.5 2 3.091892891350848+  , HalfStabilityVector 2 False 1.0 10.0 0.5 2 24.01621612639336+  , HalfStabilityVector 2 True 1.0 10.0 0.5 3 8.046613414686298+  , HalfStabilityVector 2 False 1.0 10.0 0.5 3 33.31538957733642+  , HalfStabilityVector 2 True 1.0 10.0 0.5 4 33.20539096722372+  , HalfStabilityVector 2 False 1.0 10.0 0.5 4 166.8746684927408+  , HalfStabilityVector 2 True 1.0 10.0 0.95 1 0.6963307957043766+  , HalfStabilityVector 2 False 1.0 10.0 0.95 1 0.2679460957819855+  , HalfStabilityVector 2 True 1.0 10.0 0.95 2 1.1199487287382954+  , HalfStabilityVector 2 False 1.0 10.0 0.95 2 2.184642470622544+  , HalfStabilityVector 2 True 1.0 10.0 0.95 3 1.4040514332720102+  , HalfStabilityVector 2 False 1.0 10.0 0.95 3 2.6632700500290545+  , HalfStabilityVector 2 True 1.0 10.0 0.95 4 2.8466508113346665+  , HalfStabilityVector 2 False 1.0 10.0 0.95 4 9.537553523908786+  , HalfStabilityVector 2 True 3.9221 1.0 0.05 1 3.9221+  , HalfStabilityVector 2 False 3.9221 1.0 0.05 1 1.731191603553383+  , HalfStabilityVector 2 True 3.9221 1.0 0.05 2 108.97953495144525+  , HalfStabilityVector 2 False 3.9221 1.0 0.05 2 386.03203648827235+  , HalfStabilityVector 2 True 3.9221 1.0 0.05 3 357.8116961175796+  , HalfStabilityVector 2 False 3.9221 1.0 0.05 3 540.414779386598+  , HalfStabilityVector 2 True 3.9221 1.0 0.05 4 1621.3164611616342+  , HalfStabilityVector 2 False 3.9221 1.0 0.05 4 2757.735267842651+  , HalfStabilityVector 2 True 3.9221 1.0 0.5 1 3.875023387257474+  , HalfStabilityVector 2 False 3.9221 1.0 0.5 1 1.1992764415774615+  , HalfStabilityVector 2 True 3.9221 1.0 0.5 2 33.20918871173612+  , HalfStabilityVector 2 False 3.9221 1.0 0.5 2 96.93214762285132+  , HalfStabilityVector 2 True 3.9221 1.0 0.5 3 102.57666928818188+  , HalfStabilityVector 2 False 3.9221 1.0 0.5 3 134.51072095461387+  , HalfStabilityVector 2 True 3.9221 1.0 0.5 4 454.80662958227197+  , HalfStabilityVector 2 False 3.9221 1.0 0.5 4 674.2325772396862+  , HalfStabilityVector 2 True 3.9221 1.0 0.95 1 2.6264423142794957+  , HalfStabilityVector 2 False 3.9221 1.0 0.95 1 0.8307942231065403+  , HalfStabilityVector 2 True 3.9221 1.0 0.95 2 5.601415931491084+  , HalfStabilityVector 2 False 3.9221 1.0 0.95 2 8.70931836828358+  , HalfStabilityVector 2 True 3.9221 1.0 0.95 3 9.57893368363089+  , HalfStabilityVector 2 False 3.9221 1.0 0.95 3 10.643483989154706+  , HalfStabilityVector 2 True 3.9221 1.0 0.95 4 29.77573063031087+  , HalfStabilityVector 2 False 3.9221 1.0 0.95 4 38.422916966643186+  , HalfStabilityVector 2 True 3.9221 3.5307239812763354 0.05 1 3.9221+  , HalfStabilityVector 2 False 3.9221 3.5307239812763354 0.05 1 1.731191603553383+  , HalfStabilityVector 2 True 3.9221 3.5307239812763354 0.05 2 82.39239794714516+  , HalfStabilityVector 2 False 3.9221 3.5307239812763354 0.05 2 289.33055851278755+  , HalfStabilityVector 2 True 3.9221 3.5307239812763354 0.05 3 268.2520073556841+  , HalfStabilityVector 2 False 3.9221 3.5307239812763354 0.05 3 404.643290436312+  , HalfStabilityVector 2 True 3.9221 3.5307239812763354 0.05 4 1211.9985914643476+  , HalfStabilityVector 2 False 3.9221 3.5307239812763354 0.05 4 2060.8211654612564+  , HalfStabilityVector 2 True 3.9221 3.5307239812763354 0.5 1 3.875023387257474+  , HalfStabilityVector 2 False 3.9221 3.5307239812763354 0.5 1 1.1992764415774615+  , HalfStabilityVector 2 True 3.9221 3.5307239812763354 0.5 2 25.797434937280308+  , HalfStabilityVector 2 False 3.9221 3.5307239812763354 0.5 2 73.39387182097096+  , HalfStabilityVector 2 True 3.9221 3.5307239812763354 0.5 3 77.6099208521729+  , HalfStabilityVector 2 False 3.9221 3.5307239812763354 0.5 3 101.46234548144922+  , HalfStabilityVector 2 True 3.9221 3.5307239812763354 0.5 4 340.70020040223653+  , HalfStabilityVector 2 False 3.9221 3.5307239812763354 0.5 4 504.59549727456044+  , HalfStabilityVector 2 True 3.9221 3.5307239812763354 0.95 1 2.6264423142794957+  , HalfStabilityVector 2 False 3.9221 3.5307239812763354 0.95 1 0.8307942231065403+  , HalfStabilityVector 2 True 3.9221 3.5307239812763354 0.95 2 5.1764274214946955+  , HalfStabilityVector 2 False 3.9221 3.5307239812763354 0.95 2 7.497805535461398+  , HalfStabilityVector 2 True 3.9221 3.5307239812763354 0.95 3 8.147345217505247+  , HalfStabilityVector 2 False 3.9221 3.5307239812763354 0.95 3 8.942487224282644+  , HalfStabilityVector 2 True 3.9221 3.5307239812763354 0.95 4 23.23289032639206+  , HalfStabilityVector 2 False 3.9221 3.5307239812763354 0.95 4 29.69171247953225+  , HalfStabilityVector 2 True 3.9221 10.0 0.05 1 3.9221+  , HalfStabilityVector 2 False 3.9221 10.0 0.05 1 1.731191603553383+  , HalfStabilityVector 2 True 3.9221 10.0 0.05 2 14.427843495144524+  , HalfStabilityVector 2 False 3.9221 10.0 0.05 2 42.13309364882724+  , HalfStabilityVector 2 True 3.9221 10.0 0.05 3 39.311059611757955+  , HalfStabilityVector 2 False 3.9221 10.0 0.05 3 57.5713679386598+  , HalfStabilityVector 2 True 3.9221 10.0 0.05 4 165.6615361161634+  , HalfStabilityVector 2 False 3.9221 10.0 0.05 4 279.30341678426515+  , HalfStabilityVector 2 True 3.9221 10.0 0.5 1 3.875023387257474+  , HalfStabilityVector 2 False 3.9221 10.0 0.5 1 1.1992764415774615+  , HalfStabilityVector 2 True 3.9221 10.0 0.5 2 6.85080887117361+  , HalfStabilityVector 2 False 3.9221 10.0 0.5 2 13.223104762285132+  , HalfStabilityVector 2 True 3.9221 10.0 0.5 3 13.787556928818187+  , HalfStabilityVector 2 False 3.9221 10.0 0.5 3 16.98096209546139+  , HalfStabilityVector 2 True 3.9221 10.0 0.5 4 49.0105529582272+  , HalfStabilityVector 2 False 3.9221 10.0 0.5 4 70.95314772396864+  , HalfStabilityVector 2 True 3.9221 10.0 0.95 1 2.6264423142794957+  , HalfStabilityVector 2 False 3.9221 10.0 0.95 1 0.8307942231065403+  , HalfStabilityVector 2 True 3.9221 10.0 0.95 2 4.090031593149108+  , HalfStabilityVector 2 False 3.9221 10.0 0.95 2 4.400821836828357+  , HalfStabilityVector 2 True 3.9221 10.0 0.95 3 4.487783368363089+  , HalfStabilityVector 2 False 3.9221 10.0 0.95 3 4.59423839891547+  , HalfStabilityVector 2 True 3.9221 10.0 0.95 4 6.507463063031087+  , HalfStabilityVector 2 False 3.9221 10.0 0.95 4 7.3721816966643186+  , HalfStabilityVector 2 True 1000.0 1.0 0.05 1 1000.0+  , HalfStabilityVector 2 False 1000.0 1.0 0.05 1 66.18935453973037+  , HalfStabilityVector 2 True 1000.0 1.0 0.05 2 1411.1052608428026+  , HalfStabilityVector 2 False 1000.0 1.0 0.05 2 1009.6980940525461+  , HalfStabilityVector 2 True 1000.0 1.0 0.05 3 2384.822262115112+  , HalfStabilityVector 2 False 1000.0 1.0 0.05 3 1013.6163861924418+  , HalfStabilityVector 2 True 1000.0 1.0 0.05 4 7329.103038146133+  , HalfStabilityVector 2 False 1000.0 1.0 0.05 4 1069.8928150111012+  , HalfStabilityVector 2 True 1000.0 1.0 0.5 1 721.9841200909241+  , HalfStabilityVector 2 False 1000.0 1.0 0.5 1 45.85242524269734+  , HalfStabilityVector 2 True 1000.0 1.0 0.5 2 1114.604704081431+  , HalfStabilityVector 2 False 1000.0 1.0 0.5 2 1002.360630026971+  , HalfStabilityVector 2 True 1000.0 1.0 0.5 3 1386.049901744669+  , HalfStabilityVector 2 False 1000.0 1.0 0.5 3 1003.3143883664721+  , HalfStabilityVector 2 True 1000.0 1.0 0.5 4 2764.377763740122+  , HalfStabilityVector 2 False 1000.0 1.0 0.5 4 1017.0127322843831+  , HalfStabilityVector 2 True 1000.0 1.0 0.95 1 489.3517931995533+  , HalfStabilityVector 2 False 1000.0 1.0 0.95 1 31.76409432086469+  , HalfStabilityVector 2 True 1000.0 1.0 0.95 2 1006.5714112891886+  , HalfStabilityVector 2 False 1000.0 1.0 0.95 2 1000.121501404576+  , HalfStabilityVector 2 True 1000.0 1.0 0.95 3 1022.1360257665555+  , HalfStabilityVector 2 False 1000.0 1.0 0.95 3 1000.1705912562473+  , HalfStabilityVector 2 True 1000.0 1.0 0.95 4 1101.1690754578165+  , HalfStabilityVector 2 False 1000.0 1.0 0.95 4 1000.8756437241784+  , HalfStabilityVector 2 True 1000.0 3.5307239812763354 0.05 1 1000.0+  , HalfStabilityVector 2 False 1000.0 3.5307239812763354 0.05 1 66.18935453973037+  , HalfStabilityVector 2 True 1000.0 3.5307239812763354 0.05 2 1307.0658665984283+  , HalfStabilityVector 2 False 1000.0 3.5307239812763354 0.05 2 1007.2437741334011+  , HalfStabilityVector 2 True 1000.0 3.5307239812763354 0.05 3 2034.3619712611062+  , HalfStabilityVector 2 False 1000.0 3.5307239812763354 0.05 3 1010.1704546848887+  , HalfStabilityVector 2 True 1000.0 3.5307239812763354 0.05 4 5727.3817542855995+  , HalfStabilityVector 2 False 1000.0 3.5307239812763354 0.05 4 1052.2048727043507+  , HalfStabilityVector 2 True 1000.0 3.5307239812763354 0.5 1 721.9841200909241+  , HalfStabilityVector 2 False 1000.0 3.5307239812763354 0.5 1 45.85242524269734+  , HalfStabilityVector 2 True 1000.0 3.5307239812763354 0.5 2 1085.6014167828357+  , HalfStabilityVector 2 False 1000.0 3.5307239812763354 0.5 2 1001.7632197249533+  , HalfStabilityVector 2 True 1000.0 3.5307239812763354 0.5 3 1288.351327313208+  , HalfStabilityVector 2 False 1000.0 3.5307239812763354 0.5 3 1002.4756081542428+  , HalfStabilityVector 2 True 1000.0 3.5307239812763354 0.5 4 2317.862451867338+  , HalfStabilityVector 2 False 1000.0 3.5307239812763354 0.5 4 1012.7072793264708+  , HalfStabilityVector 2 True 1000.0 3.5307239812763354 0.95 1 489.3517931995533+  , HalfStabilityVector 2 False 1000.0 3.5307239812763354 0.95 1 31.76409432086469+  , HalfStabilityVector 2 True 1000.0 3.5307239812763354 0.95 2 1004.9083684751505+  , HalfStabilityVector 2 False 1000.0 3.5307239812763354 0.95 2 1000.0907527527438+  , HalfStabilityVector 2 True 1000.0 3.5307239812763354 0.95 3 1016.5340086407983+  , HalfStabilityVector 2 False 1000.0 3.5307239812763354 0.95 3 1000.1274193179293+  , HalfStabilityVector 2 True 1000.0 3.5307239812763354 0.95 4 1075.5659749153515+  , HalfStabilityVector 2 False 1000.0 3.5307239812763354 0.95 4 1000.6540424669952+  , HalfStabilityVector 2 True 1000.0 10.0 0.05 1 1000.0+  , HalfStabilityVector 2 False 1000.0 10.0 0.05 1 66.18935453973037+  , HalfStabilityVector 2 True 1000.0 10.0 0.05 2 1041.1105260842803+  , HalfStabilityVector 2 False 1000.0 10.0 0.05 2 1000.9698094052546+  , HalfStabilityVector 2 True 1000.0 10.0 0.05 3 1138.482226211511+  , HalfStabilityVector 2 False 1000.0 10.0 0.05 3 1001.3616386192441+  , HalfStabilityVector 2 True 1000.0 10.0 0.05 4 1632.9103038146134+  , HalfStabilityVector 2 False 1000.0 10.0 0.05 4 1006.9892815011101+  , HalfStabilityVector 2 True 1000.0 10.0 0.5 1 721.9841200909241+  , HalfStabilityVector 2 False 1000.0 10.0 0.5 1 45.85242524269734+  , HalfStabilityVector 2 True 1000.0 10.0 0.5 2 1011.4604704081431+  , HalfStabilityVector 2 False 1000.0 10.0 0.5 2 1000.2360630026972+  , HalfStabilityVector 2 True 1000.0 10.0 0.5 3 1038.604990174467+  , HalfStabilityVector 2 False 1000.0 10.0 0.5 3 1000.3314388366473+  , HalfStabilityVector 2 True 1000.0 10.0 0.5 4 1176.4377763740122+  , HalfStabilityVector 2 False 1000.0 10.0 0.5 4 1001.7012732284383+  , HalfStabilityVector 2 True 1000.0 10.0 0.95 1 489.3517931995533+  , HalfStabilityVector 2 False 1000.0 10.0 0.95 1 31.76409432086469+  , HalfStabilityVector 2 True 1000.0 10.0 0.95 2 1000.6571411289189+  , HalfStabilityVector 2 False 1000.0 10.0 0.95 2 1000.0121501404575+  , HalfStabilityVector 2 True 1000.0 10.0 0.95 3 1002.2136025766555+  , HalfStabilityVector 2 False 1000.0 10.0 0.95 3 1000.0170591256248+  , HalfStabilityVector 2 True 1000.0 10.0 0.95 4 1010.1169075457816+  , HalfStabilityVector 2 False 1000.0 10.0 0.95 4 1000.0875643724179+  ]++-- | A full memory-state transition.+data StepVector = StepVector+  { svParams :: !Int+  , svState :: !(Maybe (Double, Double, Double))+    -- ^ @(stability, difficulty, fast stability)@; 'Nothing' for the+    --   first review.+  , svElapsedDays :: !Double+  , svRating :: !Int+  , svNextState :: !(Double, Double, Double)+  }+  deriving stock (Eq, Show)++goldenStepVectors :: [StepVector]+goldenStepVectors =+  [ StepVector 0 Nothing 0.0 1 (0.1104, 6.1686, 0.08832000000000001)+  , StepVector 0 Nothing 0.0 2 (2.2395, 5.261278312731786, 1.7916)+  , StepVector 0 Nothing 0.0 3 (3.9221, 3.5307239812763354, 3.13768)+  , StepVector 0 Nothing 0.0 4 (11.7841, 1.0, 9.427280000000001)+  , StepVector 0 (Just (0.0001, 1.0, 0.0001)) 0.0 1 (0.0001, 9.008791723878954, 0.0001)+  , StepVector 0 (Just (0.0001, 1.0, 0.0001)) 0.0 2 (0.00010001428854459669, 4.636193001738953, 0.0001)+  , StepVector 0 (Just (0.0001, 1.0, 0.0001)) 0.0 3 (0.00010002233282994169, 1.0, 0.0001)+  , StepVector 0 (Just (0.0001, 1.0, 0.0001)) 0.0 4 (0.00010002233282994169, 1.0, 0.0001)+  , StepVector 0 (Just (0.0001, 1.0, 0.0001)) 0.006944444444444444 1 (0.0001, 2.8544796237435115, 0.0001)+  , StepVector 0 (Just (0.0001, 1.0, 0.0001)) 0.006944444444444444 2 (0.0023882552225345235, 4.636193001738953, 6.974505924724382)+  , StepVector 0 (Just (0.0001, 1.0, 0.0001)) 0.006944444444444444 3 (0.0036765164465997553, 1.0, 11.318512730808798)+  , StepVector 0 (Just (0.0001, 1.0, 0.0001)) 0.006944444444444444 4 (0.0036765164465997553, 1.0, 12.302082797116082)+  , StepVector 0 (Just (0.0001, 1.0, 0.0001)) 0.5 1 (0.0001, 2.362349180046658, 0.0001)+  , StepVector 0 (Just (0.0001, 1.0, 0.0001)) 0.5 2 (0.0027133226717944207, 4.636193001738953, 8.884549191761216)+  , StepVector 0 (Just (0.0001, 1.0, 0.0001)) 0.5 3 (0.004184593110025665, 1.0, 14.418225919768284)+  , StepVector 0 (Just (0.0001, 1.0, 0.0001)) 0.5 4 (0.004184593110025665, 1.0, 15.671161062196148)+  , StepVector 0 (Just (0.0001, 1.0, 0.0001)) 1.0 1 (0.0001, 2.306672599266798, 0.0001)+  , StepVector 0 (Just (0.0001, 1.0, 0.0001)) 1.0 2 (0.0027520464362506135, 4.636193001738953, 9.122953844839316)+  , StepVector 0 (Just (0.0001, 1.0, 0.0001)) 1.0 3 (0.004245117905987205, 1.0, 14.805120845243941)+  , StepVector 0 (Just (0.0001, 1.0, 0.0001)) 1.0 4 (0.004245117905987205, 1.0, 16.09167715669564)+  , StepVector 0 (Just (0.0001, 1.0, 0.0001)) 45.0 1 (0.0001, 2.079752401416066, 0.0001)+  , StepVector 0 (Just (0.0001, 1.0, 0.0001)) 45.0 2 (0.0029141720177064197, 4.636193001738953, 10.132713494987769)+  , StepVector 0 (Just (0.0001, 1.0, 0.0001)) 45.0 3 (0.004498518314639605, 1.0, 16.44380901491037)+  , StepVector 0 (Just (0.0001, 1.0, 0.0001)) 45.0 4 (0.004498518314639605, 1.0, 17.872767328306082)+  , StepVector 0 (Just (0.0001, 1.0, 0.0001)) 400.0 1 (0.0001, 1.9936885015055066, 0.0001)+  , StepVector 0 (Just (0.0001, 1.0, 0.0001)) 400.0 2 (0.0029775100258990486, 4.636193001738953, 10.525553697562268)+  , StepVector 0 (Just (0.0001, 1.0, 0.0001)) 400.0 3 (0.0045975148888700345, 1.0, 17.08132962927989)+  , StepVector 0 (Just (0.0001, 1.0, 0.0001)) 400.0 4 (0.0045975148888700345, 1.0, 18.56568848406431)+  , StepVector 0 (Just (0.0001, 1.0, 0.0005)) 0.0 1 (0.0001, 9.008791723878954, 0.0001)+  , StepVector 0 (Just (0.0001, 1.0, 0.0005)) 0.0 2 (0.00010001428854459669, 4.636193001738953, 0.0005)+  , StepVector 0 (Just (0.0001, 1.0, 0.0005)) 0.0 3 (0.00010002233282994169, 1.0, 0.0005)+  , StepVector 0 (Just (0.0001, 1.0, 0.0005)) 0.0 4 (0.00010002233282994169, 1.0, 0.0005)+  , StepVector 0 (Just (0.0001, 1.0, 0.0005)) 0.006944444444444444 1 (0.0001, 3.0950415201682877, 0.0001)+  , StepVector 0 (Just (0.0001, 1.0, 0.0005)) 0.006944444444444444 2 (0.002240066195782809, 4.636193001738953, 10.317495895758277)+  , StepVector 0 (Just (0.0001, 1.0, 0.0005)) 0.006944444444444444 3 (0.003444898711758063, 1.0, 16.74343394313255)+  , StepVector 0 (Just (0.0001, 1.0, 0.0005)) 0.006944444444444444 4 (0.003444898711758063, 1.0, 18.19839490279077)+  , StepVector 0 (Just (0.0001, 1.0, 0.0005)) 0.5 1 (0.0001, 2.486082995419939, 0.0001)+  , StepVector 0 (Just (0.0001, 1.0, 0.0005)) 0.5 2 (0.0026287148769216498, 4.636193001738953, 14.0658493307264)+  , StepVector 0 (Just (0.0001, 1.0, 0.0005)) 0.5 3 (0.00405235210522296, 1.0, 22.826448280958132)+  , StepVector 0 (Just (0.0001, 1.0, 0.0005)) 0.5 4 (0.00405235210522296, 1.0, 24.810023186573392)+  , StepVector 0 (Just (0.0001, 1.0, 0.0005)) 1.0 1 (0.0001, 2.417761880350123, 0.0001)+  , StepVector 0 (Just (0.0001, 1.0, 0.0005)) 1.0 2 (0.002675186431778802, 4.636193001738953, 14.548589568353835)+  , StepVector 0 (Just (0.0001, 1.0, 0.0005)) 1.0 3 (0.004124986607969367, 1.0, 23.609863142411285)+  , StepVector 0 (Just (0.0001, 1.0, 0.0005)) 1.0 4 (0.004124986607969367, 1.0, 25.66151679948683)+  , StepVector 0 (Just (0.0001, 1.0, 0.0005)) 45.0 1 (0.0001, 2.1411951349220995, 0.0001)+  , StepVector 0 (Just (0.0001, 1.0, 0.0005)) 45.0 2 (0.002869582286215389, 4.636193001738953, 16.624341267255343)+  , StepVector 0 (Just (0.0001, 1.0, 0.0005)) 45.0 3 (0.00442882508004906, 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StepVector 2 (Just (1000.0, 1.0, 5000.0)) 0.006944444444444444 4 (1003.579684556944, 1.0, 5002.273946680019)+  , StepVector 2 (Just (1000.0, 1.0, 5000.0)) 0.5 1 (469.9125074105885, 1.579239909559075, 113.34467714690412)+  , StepVector 2 (Just (1000.0, 1.0, 5000.0)) 0.5 2 (1000.3862200571965, 1.1172835591001746, 5000.601789195075)+  , StepVector 2 (Just (1000.0, 1.0, 5000.0)) 0.5 3 (1001.3009955946184, 1.0, 5000.844928296444)+  , StepVector 2 (Just (1000.0, 1.0, 5000.0)) 0.5 4 (1005.9459870019253, 1.0, 5004.337011031149)+  , StepVector 2 (Just (1000.0, 1.0, 5000.0)) 1.0 1 (470.07156138950904, 1.578936867263926, 115.27210488132408)+  , StepVector 2 (Just (1000.0, 1.0, 5000.0)) 1.0 2 (1000.4352110904695, 1.1172835591001746, 5000.652123632614)+  , StepVector 2 (Just (1000.0, 1.0, 5000.0)) 1.0 3 (1001.466023581323, 1.0, 5000.915599207307)+  , StepVector 2 (Just (1000.0, 1.0, 5000.0)) 1.0 4 (1006.7002203505699, 1.0, 5004.699764321912)+  , StepVector 2 (Just (1000.0, 1.0, 5000.0)) 45.0 1 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StepVector 2 (Just (1000.0, 3.5307239812763354, 5000.0)) 0.0 2 (1000.0009276518284, 3.513889773102346, 5000.0)+  , StepVector 2 (Just (1000.0, 3.5307239812763354, 5000.0)) 0.0 3 (1000.0031248272061, 3.2357380105637468, 5000.0)+  , StepVector 2 (Just (1000.0, 3.5307239812763354, 5000.0)) 0.0 4 (1000.0142815102739, 2.9575862480251476, 5000.0)+  , StepVector 2 (Just (1000.0, 3.5307239812763354, 5000.0)) 0.006944444444444444 1 (469.64841154192226, 3.846309750127264, 100.66082195754248)+  , StepVector 2 (Just (1000.0, 3.5307239812763354, 5000.0)) 0.006944444444444444 2 (1000.2277628478536, 3.513889773102346, 5000.235674527329)+  , StepVector 2 (Just (1000.0, 3.5307239812763354, 5000.0)) 0.006944444444444444 3 (1000.7672270151535, 3.2357380105637468, 5000.33089340673)+  , StepVector 2 (Just (1000.0, 3.5307239812763354, 5000.0)) 0.006944444444444444 4 (1003.5064852475286, 2.9575862480251476, 5001.698473540492)+  , StepVector 2 (Just (1000.0, 3.5307239812763354, 5000.0)) 0.5 1 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(36500.0, 2.9575862480251476, 36500.0)+  , StepVector 2 (Just (36500.0, 3.5307239812763354, 36500.0)) 0.5 1 (13611.102230305241, 3.846624483396031, 385.1892381325808)+  , StepVector 2 (Just (36500.0, 3.5307239812763354, 36500.0)) 0.5 2 (36500.0, 3.513889773102346, 36500.0)+  , StepVector 2 (Just (36500.0, 3.5307239812763354, 36500.0)) 0.5 3 (36500.0, 3.2357380105637468, 36500.0)+  , StepVector 2 (Just (36500.0, 3.5307239812763354, 36500.0)) 0.5 4 (36500.0, 2.9575862480251476, 36500.0)+  , StepVector 2 (Just (36500.0, 3.5307239812763354, 36500.0)) 1.0 1 (13611.818934392815, 3.84659059137047, 389.4663475443259)+  , StepVector 2 (Just (36500.0, 3.5307239812763354, 36500.0)) 1.0 2 (36500.0, 3.513889773102346, 36500.0)+  , StepVector 2 (Just (36500.0, 3.5307239812763354, 36500.0)) 1.0 3 (36500.0, 3.2357380105637468, 36500.0)+  , StepVector 2 (Just (36500.0, 3.5307239812763354, 36500.0)) 1.0 4 (36500.0, 2.9575862480251476, 36500.0)+  , StepVector 2 (Just (36500.0, 3.5307239812763354, 36500.0)) 45.0 1 (13621.34455601732, 3.8461403062249726, 411.85242154787056)+  , StepVector 2 (Just (36500.0, 3.5307239812763354, 36500.0)) 45.0 2 (36500.0, 3.513889773102346, 36500.0)+  , StepVector 2 (Just (36500.0, 3.5307239812763354, 36500.0)) 45.0 3 (36500.0, 3.2357380105637468, 36500.0)+  , StepVector 2 (Just (36500.0, 3.5307239812763354, 36500.0)) 45.0 4 (36500.0, 2.9575862480251476, 36500.0)+  , StepVector 2 (Just (36500.0, 3.5307239812763354, 36500.0)) 400.0 1 (13673.363880874544, 3.8436868452926305, 423.854237949416)+  , StepVector 2 (Just (36500.0, 3.5307239812763354, 36500.0)) 400.0 2 (36500.0, 3.513889773102346, 36500.0)+  , StepVector 2 (Just (36500.0, 3.5307239812763354, 36500.0)) 400.0 3 (36500.0, 3.2357380105637468, 36500.0)+  , StepVector 2 (Just (36500.0, 3.5307239812763354, 36500.0)) 400.0 4 (36500.0, 2.9575862480251476, 36500.0)+  , StepVector 2 (Just (36500.0, 10.0, 29200.0)) 0.0 1 (13589.089128669066, 9.640321269100175, 231.52233554269924)+  , StepVector 2 (Just (36500.0, 10.0, 29200.0)) 0.0 2 (36500.0, 9.640321269100175, 29200.0)+  , StepVector 2 (Just (36500.0, 10.0, 29200.0)) 0.0 3 (36500.0, 9.640321269100175, 29200.0)+  , StepVector 2 (Just (36500.0, 10.0, 29200.0)) 0.0 4 (36500.0, 9.640321269100175, 29200.0)+  , StepVector 2 (Just (36500.0, 10.0, 29200.0)) 0.006944444444444444 1 (13625.155437836656, 9.640321269100175, 310.44113340992357)+  , StepVector 2 (Just (36500.0, 10.0, 29200.0)) 0.006944444444444444 2 (36500.0, 9.640321269100175, 29200.014553824436)+  , StepVector 2 (Just (36500.0, 10.0, 29200.0)) 0.006944444444444444 3 (36500.0, 9.640321269100175, 29200.020433962894)+  , StepVector 2 (Just (36500.0, 10.0, 29200.0)) 0.006944444444444444 4 (36500.0, 9.640321269100175, 29200.10488738851)+  , StepVector 2 (Just (36500.0, 10.0, 29200.0)) 0.5 1 (13634.893053561857, 9.640321269100175, 335.8470179263028)+  , StepVector 2 (Just (36500.0, 10.0, 29200.0)) 0.5 2 (36500.0, 9.640321269100175, 29200.021433696278)+  , StepVector 2 (Just (36500.0, 10.0, 29200.0)) 0.5 3 (36500.0, 9.640321269100175, 29200.03009348893)+  , StepVector 2 (Just (36500.0, 10.0, 29200.0)) 0.5 4 (36500.0, 9.640321269100175, 29200.154469668036)+  , StepVector 2 (Just (36500.0, 10.0, 29200.0)) 1.0 1 (13636.370339415538, 9.640321269100175, 339.7598828425326)+  , StepVector 2 (Just (36500.0, 10.0, 29200.0)) 1.0 2 (36500.0, 9.640321269100175, 29200.0226028457)+  , StepVector 2 (Just (36500.0, 10.0, 29200.0)) 1.0 3 (36500.0, 9.640321269100175, 29200.03173500633)+  , StepVector 2 (Just (36500.0, 10.0, 29200.0)) 1.0 4 (36500.0, 9.640321269100175, 29200.162895565343)+  , StepVector 2 (Just (36500.0, 10.0, 29200.0)) 45.0 1 (13647.976920062796, 9.640321269100175, 360.2036807441739)+  , StepVector 2 (Just (36500.0, 10.0, 29200.0)) 45.0 2 (36500.0, 9.640321269100175, 29200.02921664214)+  , StepVector 2 (Just (36500.0, 10.0, 29200.0)) 45.0 3 (36500.0, 9.640321269100175, 29200.041020955294)+  , StepVector 2 (Just (36500.0, 10.0, 29200.0)) 45.0 4 (36500.0, 9.640321269100175, 29200.210560276384)+  , StepVector 2 (Just (36500.0, 10.0, 29200.0)) 400.0 1 (13687.134322782369, 9.640321269100175, 371.1347897110286)+  , StepVector 2 (Just (36500.0, 10.0, 29200.0)) 400.0 2 (36500.0, 9.640321269100175, 29200.033115668088)+  , StepVector 2 (Just (36500.0, 10.0, 29200.0)) 400.0 3 (36500.0, 9.640321269100175, 29200.046495293125)+  , StepVector 2 (Just (36500.0, 10.0, 29200.0)) 400.0 4 (36500.0, 9.640321269100175, 29200.238660014144)+  , StepVector 2 (Just (36500.0, 10.0, 36500.0)) 0.0 1 (13589.089128669066, 9.640321269100175, 264.5694395118582)+  , StepVector 2 (Just (36500.0, 10.0, 36500.0)) 0.0 2 (36500.0, 9.640321269100175, 36500.0)+  , StepVector 2 (Just (36500.0, 10.0, 36500.0)) 0.0 3 (36500.0, 9.640321269100175, 36500.0)+  , StepVector 2 (Just (36500.0, 10.0, 36500.0)) 0.0 4 (36500.0, 9.640321269100175, 36500.0)+  , StepVector 2 (Just (36500.0, 10.0, 36500.0)) 0.006944444444444444 1 (13624.42138932558, 9.640321269100175, 357.4622180851439)+  , StepVector 2 (Just (36500.0, 10.0, 36500.0)) 0.006944444444444444 2 (36500.0, 9.640321269100175, 36500.0)+  , StepVector 2 (Just (36500.0, 10.0, 36500.0)) 0.006944444444444444 3 (36500.0, 9.640321269100175, 36500.0)+  , StepVector 2 (Just (36500.0, 10.0, 36500.0)) 0.006944444444444444 4 (36500.0, 9.640321269100175, 36500.0)+  , StepVector 2 (Just (36500.0, 10.0, 36500.0)) 0.5 1 (13633.256052529967, 9.640321269100175, 385.1892381325808)+  , StepVector 2 (Just (36500.0, 10.0, 36500.0)) 0.5 2 (36500.0, 9.640321269100175, 36500.0)+  , StepVector 2 (Just (36500.0, 10.0, 36500.0)) 0.5 3 (36500.0, 9.640321269100175, 36500.0)+  , StepVector 2 (Just (36500.0, 10.0, 36500.0)) 0.5 4 (36500.0, 9.640321269100175, 36500.0)+  , StepVector 2 (Just (36500.0, 10.0, 36500.0)) 1.0 1 (13634.605213814782, 9.640321269100175, 389.4663475443259)+  , StepVector 2 (Just (36500.0, 10.0, 36500.0)) 1.0 2 (36500.0, 9.640321269100175, 36500.0)+  , StepVector 2 (Just (36500.0, 10.0, 36500.0)) 1.0 3 (36500.0, 9.640321269100175, 36500.0)+  , StepVector 2 (Just (36500.0, 10.0, 36500.0)) 1.0 4 (36500.0, 9.640321269100175, 36500.0)+  , StepVector 2 (Just (36500.0, 10.0, 36500.0)) 45.0 1 (13645.587677560383, 9.640321269100175, 411.85242154787056)+  , StepVector 2 (Just (36500.0, 10.0, 36500.0)) 45.0 2 (36500.0, 9.640321269100175, 36500.0)+  , StepVector 2 (Just (36500.0, 10.0, 36500.0)) 45.0 3 (36500.0, 9.640321269100175, 36500.0)+  , StepVector 2 (Just (36500.0, 10.0, 36500.0)) 45.0 4 (36500.0, 9.640321269100175, 36500.0)+  , StepVector 2 (Just (36500.0, 10.0, 36500.0)) 400.0 1 (13684.447005110704, 9.640321269100175, 423.854237949416)+  , StepVector 2 (Just (36500.0, 10.0, 36500.0)) 400.0 2 (36500.0, 9.640321269100175, 36500.0)+  , StepVector 2 (Just (36500.0, 10.0, 36500.0)) 400.0 3 (36500.0, 9.640321269100175, 36500.0)+  , StepVector 2 (Just (36500.0, 10.0, 36500.0)) 400.0 4 (36500.0, 9.640321269100175, 36500.0)+  ]++-- | The interval that lands exactly on the desired retention.+data IntervalVector = IntervalVector+  { ivParams :: !Int+  , ivDesiredRetention :: !Double+  , ivState :: !(Double, Double, Double)+  , ivInterval :: !Double+  }+  deriving stock (Eq, Show)++goldenIntervalVectors :: [IntervalVector]+goldenIntervalVectors =+  [ IntervalVector 0 0.7 (0.0001, 1.0, 0.0001) 1.1574074074074073e-5+  , IntervalVector 0 0.7 (0.0001, 5.0, 0.0001) 1.1574074074074073e-5+  , IntervalVector 0 0.7 (0.0001, 10.0, 0.0001) 1.1574074074074073e-5+  , IntervalVector 0 0.7 (0.01, 1.0, 0.008) 5.522869936320109e-5+  , IntervalVector 0 0.7 (0.01, 5.0, 0.008) 2.3022474404303497e-5+  , IntervalVector 0 0.7 (0.01, 10.0, 0.008) 1.2996044561251682e-5+  , IntervalVector 0 0.7 (0.5, 1.0, 0.4) 19.03800904279629+  , IntervalVector 0 0.7 (0.5, 5.0, 0.4) 3.039791333404169+  , IntervalVector 0 0.7 (0.5, 10.0, 0.4) 0.1872813242019531+  , IntervalVector 0 0.7 (1.0, 1.0, 0.8) 64.69131051324193+  , IntervalVector 0 0.7 (1.0, 5.0, 0.8) 13.220820725860593+  , IntervalVector 0 0.7 (1.0, 10.0, 0.8) 1.2561372506520427+  , IntervalVector 0 0.7 (3.9221, 1.0, 3.13768) 477.8604830336278+  , IntervalVector 0 0.7 (3.9221, 5.0, 3.13768) 134.43247903444777+  , IntervalVector 0 0.7 (3.9221, 10.0, 3.13768) 21.88160787721904+  , IntervalVector 0 0.7 (15.0, 1.0, 12.0) 2478.7432740212735+  , IntervalVector 0 0.7 (15.0, 5.0, 12.0) 826.2714301256167+  , IntervalVector 0 0.7 (15.0, 10.0, 12.0) 184.07781865532874+  , IntervalVector 0 0.7 (100.0, 1.0, 80.0) 19817.803605842637+  , IntervalVector 0 0.7 (100.0, 5.0, 80.0) 7352.325422392295+  , IntervalVector 0 0.7 (100.0, 10.0, 80.0) 2027.426867196434+  , IntervalVector 0 0.7 (1000.0, 1.0, 800.0) 36500.0+  , IntervalVector 0 0.7 (1000.0, 5.0, 800.0) 36500.0+  , IntervalVector 0 0.7 (1000.0, 10.0, 800.0) 24761.522635404242+  , IntervalVector 0 0.7 (36500.0, 1.0, 29200.0) 36500.0+  , IntervalVector 0 0.7 (36500.0, 5.0, 29200.0) 36500.0+  , IntervalVector 0 0.7 (36500.0, 10.0, 29200.0) 36500.0+  , IntervalVector 0 0.7 (3.9221, 5.0, 0.196105) 125.17800505393978+  , IntervalVector 0 0.7 (3.9221, 5.0, 3.9221) 135.4027343625504+  , IntervalVector 0 0.7 (3.9221, 5.0, 78.442) 153.45603286101988+  , IntervalVector 0 0.8 (0.0001, 1.0, 0.0001) 1.1574074074074073e-5+  , IntervalVector 0 0.8 (0.0001, 5.0, 0.0001) 1.1574074074074073e-5+  , IntervalVector 0 0.8 (0.0001, 10.0, 0.0001) 1.1574074074074073e-5+  , IntervalVector 0 0.8 (0.01, 1.0, 0.008) 1.1574074074074073e-5+  , IntervalVector 0 0.8 (0.01, 5.0, 0.008) 1.1574074074074073e-5+  , IntervalVector 0 0.8 (0.01, 10.0, 0.008) 1.1574074074074073e-5+  , IntervalVector 0 0.8 (0.5, 1.0, 0.4) 2.8149394808118666+  , IntervalVector 0 0.8 (0.5, 5.0, 0.4) 0.3069393640341582+  , IntervalVector 0 0.8 (0.5, 10.0, 0.4) 0.007564091957912695+  , IntervalVector 0 0.8 (1.0, 1.0, 0.8) 10.626348789772006+  , IntervalVector 0 0.8 (1.0, 5.0, 0.8) 1.9252711547909516+  , IntervalVector 0 0.8 (1.0, 10.0, 0.8) 0.10683587035122498+  , IntervalVector 0 0.8 (3.9221, 1.0, 3.13768) 83.50921535224911+  , IntervalVector 0 0.8 (3.9221, 5.0, 3.13768) 23.01389166377201+  , IntervalVector 0 0.8 (3.9221, 10.0, 3.13768) 3.5045728556557623+  , IntervalVector 0 0.8 (15.0, 1.0, 12.0) 440.1083644352774+  , IntervalVector 0 0.8 (15.0, 5.0, 12.0) 145.93757769106412+  , IntervalVector 0 0.8 (15.0, 10.0, 12.0) 32.12157579592958+  , IntervalVector 0 0.8 (100.0, 1.0, 80.0) 3542.1833352348235+  , IntervalVector 0 0.8 (100.0, 5.0, 80.0) 1312.6785159753792+  , IntervalVector 0 0.8 (100.0, 10.0, 80.0) 361.4207804999397+  , IntervalVector 0 0.8 (1000.0, 1.0, 800.0) 36500.0+  , IntervalVector 0 0.8 (1000.0, 5.0, 800.0) 14726.945997467577+  , IntervalVector 0 0.8 (1000.0, 10.0, 800.0) 4433.225664707421+  , IntervalVector 0 0.8 (36500.0, 1.0, 29200.0) 36500.0+  , IntervalVector 0 0.8 (36500.0, 5.0, 29200.0) 36500.0+  , IntervalVector 0 0.8 (36500.0, 10.0, 29200.0) 36500.0+  , IntervalVector 0 0.8 (3.9221, 5.0, 0.196105) 20.93590555398564+  , IntervalVector 0 0.8 (3.9221, 5.0, 3.9221) 23.23272887175912+  , IntervalVector 0 0.8 (3.9221, 5.0, 78.442) 27.333642659742278+  , IntervalVector 0 0.85 (0.0001, 1.0, 0.0001) 1.1574074074074073e-5+  , IntervalVector 0 0.85 (0.0001, 5.0, 0.0001) 1.1574074074074073e-5+  , IntervalVector 0 0.85 (0.0001, 10.0, 0.0001) 1.1574074074074073e-5+  , IntervalVector 0 0.85 (0.01, 1.0, 0.008) 1.1574074074074073e-5+  , IntervalVector 0 0.85 (0.01, 5.0, 0.008) 1.1574074074074073e-5+  , IntervalVector 0 0.85 (0.01, 10.0, 0.008) 1.1574074074074073e-5+  , IntervalVector 0 0.85 (0.5, 1.0, 0.4) 0.7710192916487589+  , IntervalVector 0 0.85 (0.5, 5.0, 0.4) 0.0308473556868+  , IntervalVector 0 0.85 (0.5, 10.0, 0.4) 0.0013838319537463545+  , IntervalVector 0 0.85 (1.0, 1.0, 0.8) 3.8047706474501384+  , IntervalVector 0 0.85 (1.0, 5.0, 0.8) 0.5014734449850002+  , IntervalVector 0 0.85 (1.0, 10.0, 0.8) 0.012904953660551204+  , IntervalVector 0 0.85 (3.9221, 1.0, 3.13768) 34.265138474776144+  , IntervalVector 0 0.85 (3.9221, 5.0, 3.13768) 8.971593947607886+  , IntervalVector 0 0.85 (3.9221, 10.0, 3.13768) 1.150492339959377+  , IntervalVector 0 0.85 (15.0, 1.0, 12.0) 186.95798532936604+  , IntervalVector 0 0.85 (15.0, 5.0, 12.0) 61.06486943343903+  , IntervalVector 0 0.85 (15.0, 10.0, 12.0) 12.94031638791068+  , IntervalVector 0 0.85 (100.0, 1.0, 80.0) 1527.7953747567321+  , IntervalVector 0 0.85 (100.0, 5.0, 80.0) 563.966890963036+  , IntervalVector 0 0.85 (100.0, 10.0, 80.0) 154.01769822120775+  , IntervalVector 0 0.85 (1000.0, 1.0, 800.0) 16497.91363277772+  , IntervalVector 0 0.85 (1000.0, 5.0, 800.0) 6377.648144411187+  , IntervalVector 0 0.85 (1000.0, 10.0, 800.0) 1916.3618070935595+  , IntervalVector 0 0.85 (36500.0, 1.0, 29200.0) 36500.0+  , IntervalVector 0 0.85 (36500.0, 5.0, 29200.0) 36500.0+  , IntervalVector 0 0.85 (36500.0, 10.0, 29200.0) 36500.0+  , IntervalVector 0 0.85 (3.9221, 5.0, 0.196105) 7.892789279155961+  , IntervalVector 0 0.85 (3.9221, 5.0, 3.9221) 9.085228643663998+  , IntervalVector 0 0.85 (3.9221, 5.0, 78.442) 11.215869635176261+  , IntervalVector 0 0.9 (0.0001, 1.0, 0.0001) 1.1574074074074073e-5+  , IntervalVector 0 0.9 (0.0001, 5.0, 0.0001) 1.1574074074074073e-5+  , IntervalVector 0 0.9 (0.0001, 10.0, 0.0001) 1.1574074074074073e-5+  , IntervalVector 0 0.9 (0.01, 1.0, 0.008) 1.1574074074074073e-5+  , IntervalVector 0 0.9 (0.01, 5.0, 0.008) 1.1574074074074073e-5+  , IntervalVector 0 0.9 (0.01, 10.0, 0.008) 1.1574074074074073e-5+  , IntervalVector 0 0.9 (0.5, 1.0, 0.4) 0.03526181023369375+  , IntervalVector 0 0.9 (0.5, 5.0, 0.4) 0.0017184119364847734+  , IntervalVector 0 0.9 (0.5, 10.0, 0.4) 0.000319798140118296+  , IntervalVector 0 0.9 (1.0, 1.0, 0.8) 0.7657780801013794+  , IntervalVector 0 0.9 (1.0, 5.0, 0.8) 0.0267562174446808+  , IntervalVector 0 0.9 (1.0, 10.0, 0.8) 0.0015743299752396995+  , IntervalVector 0 0.9 (3.9221, 1.0, 3.13768) 11.970108216223352+  , IntervalVector 0 0.9 (3.9221, 5.0, 3.13768) 2.619446985553184+  , IntervalVector 0 0.9 (3.9221, 10.0, 3.13768) 0.16767274495528917+  , IntervalVector 0 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IntervalVector 0 0.95 (0.0001, 5.0, 0.0001) 1.1574074074074073e-5+  , IntervalVector 0 0.95 (0.0001, 10.0, 0.0001) 1.1574074074074073e-5+  , IntervalVector 0 0.95 (0.01, 1.0, 0.008) 1.1574074074074073e-5+  , IntervalVector 0 0.95 (0.01, 5.0, 0.008) 1.1574074074074073e-5+  , IntervalVector 0 0.95 (0.01, 10.0, 0.008) 1.1574074074074073e-5+  , IntervalVector 0 0.95 (0.5, 1.0, 0.4) 0.0005364223344337926+  , IntervalVector 0 0.95 (0.5, 5.0, 0.4) 0.00017315187172096914+  , IntervalVector 0 0.95 (0.5, 10.0, 0.4) 7.276901150881206e-5+  , IntervalVector 0 0.95 (1.0, 1.0, 0.8) 0.004799335871906806+  , IntervalVector 0 0.95 (1.0, 5.0, 0.8) 0.0008049118450892202+  , IntervalVector 0 0.95 (1.0, 10.0, 0.8) 0.00024273058434702682+  , IntervalVector 0 0.95 (3.9221, 1.0, 3.13768) 1.6400439289120672+  , IntervalVector 0 0.95 (3.9221, 5.0, 3.13768) 0.08456884803791671+  , IntervalVector 0 0.95 (3.9221, 10.0, 3.13768) 0.004777905638285502+  , IntervalVector 0 0.95 (15.0, 1.0, 12.0) 18.658891839510765+  , 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1.0, 800.0) 208.10513441169164+  , IntervalVector 2 0.9 (1000.0, 5.0, 800.0) 249.71347986308115+  , IntervalVector 2 0.9 (1000.0, 10.0, 800.0) 304.32736030344284+  , IntervalVector 2 0.9 (36500.0, 1.0, 29200.0) 7893.864777031762+  , IntervalVector 2 0.9 (36500.0, 5.0, 29200.0) 9689.86347467499+  , IntervalVector 2 0.9 (36500.0, 10.0, 29200.0) 12408.780348367627+  , IntervalVector 2 0.9 (3.9221, 5.0, 0.196105) 0.17657984792070688+  , IntervalVector 2 0.9 (3.9221, 5.0, 3.9221) 0.6864910884246542+  , IntervalVector 2 0.9 (3.9221, 5.0, 78.442) 0.9079868413157414+  , IntervalVector 2 0.95 (0.0001, 1.0, 0.0001) 1.1574074074074073e-5+  , IntervalVector 2 0.95 (0.0001, 5.0, 0.0001) 1.1574074074074073e-5+  , IntervalVector 2 0.95 (0.0001, 10.0, 0.0001) 1.1574074074074073e-5+  , IntervalVector 2 0.95 (0.01, 1.0, 0.008) 0.0004346737184219369+  , IntervalVector 2 0.95 (0.01, 5.0, 0.008) 0.0003716899048307122+  , IntervalVector 2 0.95 (0.01, 10.0, 0.008) 0.0002957199159416071+  , IntervalVector 2 0.95 (0.5, 1.0, 0.4) 0.025130128063908998+  , IntervalVector 2 0.95 (0.5, 5.0, 0.4) 0.020168916321193248+  , IntervalVector 2 0.95 (0.5, 10.0, 0.4) 0.013026373174761855+  , IntervalVector 2 0.95 (1.0, 1.0, 0.8) 0.05280266223341984+  , IntervalVector 2 0.95 (1.0, 5.0, 0.8) 0.04231860333727784+  , IntervalVector 2 0.95 (1.0, 10.0, 0.8) 0.02578566407430646+  , IntervalVector 2 0.95 (3.9221, 1.0, 3.13768) 0.23649137683162633+  , IntervalVector 2 0.95 (3.9221, 5.0, 3.13768) 0.19842093016540982+  , IntervalVector 2 0.95 (3.9221, 10.0, 3.13768) 0.11032395267911825+  , IntervalVector 2 0.95 (15.0, 1.0, 12.0) 1.0464441309343744+  , IntervalVector 2 0.95 (15.0, 5.0, 12.0) 0.974177306832653+  , IntervalVector 2 0.95 (15.0, 10.0, 12.0) 0.601808521399577+  , IntervalVector 2 0.95 (100.0, 1.0, 80.0) 8.22179414692519+  , IntervalVector 2 0.95 (100.0, 5.0, 80.0) 8.733153449998206+  , IntervalVector 2 0.95 (100.0, 10.0, 80.0) 7.732020348026473+  , IntervalVector 2 0.95 (1000.0, 1.0, 800.0) 92.43343892617199+  , IntervalVector 2 0.95 (1000.0, 5.0, 800.0) 106.78309512172434+  , IntervalVector 2 0.95 (1000.0, 10.0, 800.0) 118.88974781120646+  , IntervalVector 2 0.95 (36500.0, 1.0, 29200.0) 3649.804691878699+  , IntervalVector 2 0.95 (36500.0, 5.0, 29200.0) 4428.893665333159+  , IntervalVector 2 0.95 (36500.0, 10.0, 29200.0) 5532.728110595564+  , IntervalVector 2 0.95 (3.9221, 5.0, 0.196105) 0.024903082525702055+  , IntervalVector 2 0.95 (3.9221, 5.0, 3.9221) 0.21540544032947656+  , IntervalVector 2 0.95 (3.9221, 5.0, 78.442) 0.36435668971934176+  , IntervalVector 2 0.97 (0.0001, 1.0, 0.0001) 1.1574074074074073e-5+  , IntervalVector 2 0.97 (0.0001, 5.0, 0.0001) 1.1574074074074073e-5+  , IntervalVector 2 0.97 (0.0001, 10.0, 0.0001) 1.1574074074074073e-5+  , IntervalVector 2 0.97 (0.01, 1.0, 0.008) 0.0002464752295411534+  , IntervalVector 2 0.97 (0.01, 5.0, 0.008) 0.00021080392688973887+  , IntervalVector 2 0.97 (0.01, 10.0, 0.008) 0.00016871170246583172+  , IntervalVector 2 0.97 (0.5, 1.0, 0.4) 0.01253731434185335+  , IntervalVector 2 0.97 (0.5, 5.0, 0.4) 0.00975349966550954+  , IntervalVector 2 0.97 (0.5, 10.0, 0.4) 0.0064308148195433+  , IntervalVector 2 0.97 (1.0, 1.0, 0.8) 0.025276751083574495+  , IntervalVector 2 0.97 (1.0, 5.0, 0.8) 0.019120126823181063+  , IntervalVector 2 0.97 (1.0, 10.0, 0.8) 0.011843819037548603+  , IntervalVector 2 0.97 (3.9221, 1.0, 3.13768) 0.10625081663718366+  , IntervalVector 2 0.97 (3.9221, 5.0, 3.13768) 0.07647573088068495+  , IntervalVector 2 0.97 (3.9221, 10.0, 3.13768) 0.03945354586787302+  , IntervalVector 2 0.97 (15.0, 1.0, 12.0) 0.47570036820632505+  , IntervalVector 2 0.97 (15.0, 5.0, 12.0) 0.35610463181598406+  , IntervalVector 2 0.97 (15.0, 10.0, 12.0) 0.14803848484030374+  , IntervalVector 2 0.97 (100.0, 1.0, 80.0) 4.08803573809441+  , IntervalVector 2 0.97 (100.0, 5.0, 80.0) 3.772524802093857+  , IntervalVector 2 0.97 (100.0, 10.0, 80.0) 2.0610586015609678+  , IntervalVector 2 0.97 (1000.0, 1.0, 800.0) 49.934916643225925+  , IntervalVector 2 0.97 (1000.0, 5.0, 800.0) 54.450383021231865+  , IntervalVector 2 0.97 (1000.0, 10.0, 800.0) 51.72178548245827+  , IntervalVector 2 0.97 (36500.0, 1.0, 29200.0) 2084.319346218482+  , IntervalVector 2 0.97 (36500.0, 5.0, 29200.0) 2489.0659130695617+  , IntervalVector 2 0.97 (36500.0, 10.0, 29200.0) 2999.664683692157+  , IntervalVector 2 0.97 (3.9221, 5.0, 0.196105) 0.009705712401078998+  , IntervalVector 2 0.97 (3.9221, 5.0, 3.9221) 0.08506427680302324+  , IntervalVector 2 0.97 (3.9221, 5.0, 78.442) 0.17569982513853688+  , IntervalVector 2 0.99 (0.0001, 1.0, 0.0001) 1.1574074074074073e-5+  , IntervalVector 2 0.99 (0.0001, 5.0, 0.0001) 1.1574074074074073e-5+  , IntervalVector 2 0.99 (0.0001, 10.0, 0.0001) 1.1574074074074073e-5+  , IntervalVector 2 0.99 (0.01, 1.0, 0.008) 7.763144704865068e-5+  , IntervalVector 2 0.99 (0.01, 5.0, 0.008) 6.646872321547714e-5+  , IntervalVector 2 0.99 (0.01, 10.0, 0.008) 5.352629677126989e-5+  , IntervalVector 2 0.99 (0.5, 1.0, 0.4) 0.003338414368076456+  , IntervalVector 2 0.99 (0.5, 5.0, 0.4) 0.002590057723127188+  , IntervalVector 2 0.99 (0.5, 10.0, 0.4) 0.001779690048393649+  , IntervalVector 2 0.99 (1.0, 1.0, 0.8) 0.006195039188676159+  , IntervalVector 2 0.99 (1.0, 5.0, 0.8) 0.004648826773860824+  , IntervalVector 2 0.99 (1.0, 10.0, 0.8) 0.0030631180816817075+  , IntervalVector 2 0.99 (3.9221, 1.0, 3.13768) 0.020023819971737293+  , IntervalVector 2 0.99 (3.9221, 5.0, 3.13768) 0.013574979601023374+  , IntervalVector 2 0.99 (3.9221, 10.0, 3.13768) 0.007968671777467391+  , IntervalVector 2 0.99 (15.0, 1.0, 12.0) 0.06375231963643287+  , IntervalVector 2 0.99 (15.0, 5.0, 12.0) 0.035793071125005425+  , IntervalVector 2 0.99 (15.0, 10.0, 12.0) 0.017168574277007437+  , IntervalVector 2 0.99 (100.0, 1.0, 80.0) 0.49879516630933024+  , IntervalVector 2 0.99 (100.0, 5.0, 80.0) 0.18087256692573578+  , IntervalVector 2 0.99 (100.0, 10.0, 80.0) 0.04167879628912574+  , IntervalVector 2 0.99 (1000.0, 1.0, 800.0) 9.965943783790568+  , IntervalVector 2 0.99 (1000.0, 5.0, 800.0) 6.354866247500458+  , IntervalVector 2 0.99 (1000.0, 10.0, 800.0) 0.4450840914454956+  , IntervalVector 2 0.99 (36500.0, 1.0, 29200.0) 589.2249784152581+  , IntervalVector 2 0.99 (36500.0, 5.0, 29200.0) 638.7831438729796+  , IntervalVector 2 0.99 (36500.0, 10.0, 29200.0) 592.3263176231044+  , IntervalVector 2 0.99 (3.9221, 5.0, 0.196105) 0.002263027882333082+  , IntervalVector 2 0.99 (3.9221, 5.0, 3.9221) 0.014996831551057166+  , IntervalVector 2 0.99 (3.9221, 5.0, 78.442) 0.029697257220141427+  ]++-- | A whole review history folded into a final memory state.+data ReplayVector = ReplayVector+  { rvParams :: !Int+  , rvReviews :: ![(Double, Int)]+    -- ^ @(days since the previous review, rating)@.+  , rvFinalState :: !(Double, Double, Double)+  }+  deriving stock (Eq, Show)++goldenReplayVectors :: [ReplayVector]+goldenReplayVectors =+  [ ReplayVector 0 [(0.0, 3)] (3.9221, 3.5307239812763354, 3.13768)+  , ReplayVector 0 [(0.0, 1)] (0.1104, 6.1686, 0.08832000000000001)+  , ReplayVector 0 [(0.0, 4)] (11.7841, 1.0, 9.427280000000001)+  , ReplayVector 0 [(0.0, 3), (0.006944444444444444, 3)] (5.691489456757392, 3.4977167432025262, 32.238155986503116)+  , ReplayVector 0 [(0.0, 1), (0.0006944444444444445, 3), (0.006944444444444444, 3), (1.0, 3)] (2.5166528900813034, 5.992217646564867, 132.45285833658133)+  , ReplayVector 0 [(0.0, 3), (1.0, 3), (3.0, 3), (8.0, 3), (21.0, 3)] (47.290437623478276, 3.400662293377536, 1149.3080142246497)+  , ReplayVector 0 [(0.0, 1), (0.0, 3), (1.0, 3), (3.0, 3), (8.0, 3), (21.0, 3)] (25.985713355194175, 5.877549518858744, 700.5588554145093)+  , ReplayVector 0 [(0.0, 2), (1.0, 2), (2.0, 2), (3.0, 2)] (9.920572300295085, 8.86238572359253, 179.27328013950893)+  , ReplayVector 0 [(0.0, 4), (15.0, 4), (90.0, 4), (365.0, 4)] (230.48928248956594, 1.0, 2600.831126687825)+  , ReplayVector 0 [(0.0, 3), (5.0, 1), (0.006944444444444444, 3), (1.0, 3), (4.0, 4)] (7.957627163126913, 7.891815754342685, 146.16937957559588)+  , ReplayVector 0 [(0.0, 1), (0.0, 1), (0.0, 1), (0.0, 3)] (0.019019389972869345, 9.75858882916552, 0.0001443217311120975)+  , ReplayVector 0 [(0.0, 3), (100.0, 1), (0.5, 2), (2.0, 3), (6.0, 4), (30.0, 1)] (2.64927464433167, 9.397730054311058, 0.9731637673620137)+  , ReplayVector 0 [(0.0, 2), (0.25, 3), (0.75, 4), (2.5, 1), (0.01, 3), (7.0, 3)] (6.650266248266943, 8.846450033642256, 73.0846915217098)+  , ReplayVector 0 [(0.0, 3), (1.0, 3), (2.0, 3), (4.0, 3), (8.0, 3), (16.0, 3), (32.0, 3), (64.0, 3), (128.0, 3), (256.0, 3), (512.0, 3)] (827.9827603597868, 3.2151156198455344, 5492.495374527894)+  , ReplayVector 0 [(0.0, 4), (1.0, 4), (1.0, 3), (1.0, 2), (1.0, 1), (1.0, 3), (1.0, 4), (1.0, 2), (1.0, 1)] (2.522469988723747, 9.788112823199821, 0.5953527493883451)+  , ReplayVector 1 [(0.0, 3)] (64.835975, 1.0, 51.86878000000001)+  , ReplayVector 1 [(0.0, 1)] (21.160516, 8.15903, 16.9284128)+  , ReplayVector 1 [(0.0, 4)] (64.835975, 1.0, 51.86878000000001)+  , ReplayVector 1 [(0.0, 3), (0.006944444444444444, 3)] (64.83612651782667, 1.0, 51.909194191961326)+  , ReplayVector 1 [(0.0, 1), (0.0006944444444444445, 3), (0.006944444444444444, 3), (1.0, 3)] (21.216065157195295, 1.0, 31.29467317840364)+  , ReplayVector 1 [(0.0, 3), (1.0, 3), (3.0, 3), (8.0, 3), (21.0, 3)] (65.35836653641853, 1.0, 155.97777657441551)+  , ReplayVector 1 [(0.0, 1), (0.0, 3), (1.0, 3), (3.0, 3), (8.0, 3), (21.0, 3)] (22.417256679832132, 1.0, 149.13587643912234)+  , ReplayVector 1 [(0.0, 2), (1.0, 2), (2.0, 2), (3.0, 2)] (50.98302456542983, 1.0, 73.02994362506014)+  , ReplayVector 1 [(0.0, 4), (15.0, 4), (90.0, 4), (365.0, 4)] (71.59614033617626, 1.0, 1301.4547482642834)+  , ReplayVector 1 [(0.0, 3), (5.0, 1), (0.006944444444444444, 3), (1.0, 3), (4.0, 4)] (13.801554217282716, 1.0, 140.78084274472752)+  , ReplayVector 1 [(0.0, 1), (0.0, 1), (0.0, 1), (0.0, 3)] (2.2683628003123015, 1.0, 0.11292343589450687)+  , ReplayVector 1 [(0.0, 3), (100.0, 1), (0.5, 2), (2.0, 3), (6.0, 4), (30.0, 1)] (15.2869354425651, 1.0, 2.8367938378344424)+  , ReplayVector 1 [(0.0, 2), (0.25, 3), (0.75, 4), (2.5, 1), (0.01, 3), (7.0, 3)] (11.306692190136417, 1.0, 160.46408936344827)+  , ReplayVector 1 [(0.0, 3), (1.0, 3), (2.0, 3), (4.0, 3), (8.0, 3), (16.0, 3), (32.0, 3), (64.0, 3), (128.0, 3), (256.0, 3), (512.0, 3)] (70.78571586823713, 1.0, 759.5749941044895)+  , ReplayVector 1 [(0.0, 4), (1.0, 4), (1.0, 3), (1.0, 2), (1.0, 1), (1.0, 3), (1.0, 4), (1.0, 2), (1.0, 1)] (4.380219891824702, 1.7676883002379586, 1.4739349071405754)+  , ReplayVector 2 [(0.0, 3)] (79.640406, 1.0, 63.712324800000005)+  , ReplayVector 2 [(0.0, 1)] (2.462798, 7.614116, 1.9702384)+  , ReplayVector 2 [(0.0, 4)] (79.640406, 1.0, 63.712324800000005)+  , ReplayVector 2 [(0.0, 3), (0.006944444444444444, 3)] (79.98163766636087, 1.0, 65.19326163019883)+  , ReplayVector 2 [(0.0, 1), (0.0006944444444444445, 3), (0.006944444444444444, 3), (1.0, 3)] (9.819166892198902, 6.61669734203843, 42.74604192601035)+  , ReplayVector 2 [(0.0, 3), (1.0, 3), (3.0, 3), (8.0, 3), (21.0, 3)] (130.06910767768903, 1.0, 131.92705057768674)+  , ReplayVector 2 [(0.0, 1), (0.0, 3), (1.0, 3), (3.0, 3), (8.0, 3), (21.0, 3)] (54.069208442608165, 5.968264390441213, 126.4505201756272)+  , ReplayVector 2 [(0.0, 2), (1.0, 2), (2.0, 2), (3.0, 2)] (18.09911726016345, 5.033143534988341, 58.82722290134258)+  , ReplayVector 2 [(0.0, 4), (15.0, 4), (90.0, 4), (365.0, 4)] (1102.2116657016993, 1.0, 341.5315500994411)+  , ReplayVector 2 [(0.0, 3), (5.0, 1), (0.006944444444444444, 3), (1.0, 3), (4.0, 4)] (98.16500626333594, 1.0, 172.13803089520258)+  , ReplayVector 2 [(0.0, 1), (0.0, 1), (0.0, 1), (0.0, 3)] (1.059361809955083, 7.0716245439612075, 0.12705618196362403)+  , ReplayVector 2 [(0.0, 3), (100.0, 1), (0.5, 2), (2.0, 3), (6.0, 4), (30.0, 1)] (72.68115037324422, 1.4908772725977828, 16.97229087188503)+  , ReplayVector 2 [(0.0, 2), (0.25, 3), (0.75, 4), (2.5, 1), (0.01, 3), (7.0, 3)] (38.34481864536556, 4.100575639911832, 66.07988882976876)+  , ReplayVector 2 [(0.0, 3), (1.0, 3), (2.0, 3), (4.0, 3), (8.0, 3), (16.0, 3), (32.0, 3), (64.0, 3), (128.0, 3), (256.0, 3), (512.0, 3)] (634.5922261077083, 1.0, 224.70493752141786)+  , ReplayVector 2 [(0.0, 4), (1.0, 4), (1.0, 3), (1.0, 2), (1.0, 1), (1.0, 3), (1.0, 4), (1.0, 2), (1.0, 1)] (42.83652178194841, 1.6759310653229147, 13.141314727879033)   ]