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import math
import random
from copy import deepcopy
from statistics import mean, median
from typing import Any
from .execution import ExecutionLearningConfig, generate_workflows, run_execution_learning
POLICIES = (
("No prefetch", "none"),
("Top-1 decayed", "decayed"),
("Multi-step top-k", "multistep"),
("Utility-aware multi-step", "utility"),
)
def _percentile(values: list[float], q: float) -> float:
if not values:
return 0.0
ordered = sorted(float(value) for value in values)
if len(ordered) == 1:
return ordered[0]
pos = min(max(float(q), 0.0), 1.0) * (len(ordered) - 1)
lo = int(math.floor(pos))
hi = int(math.ceil(pos))
if lo == hi:
return ordered[lo]
frac = pos - lo
return ordered[lo] * (1.0 - frac) + ordered[hi] * frac
def _bootstrap_mean_ci(values: list[float], samples: int, seed: int) -> tuple[float, float]:
if not values:
return (0.0, 0.0)
if len(values) == 1:
return (values[0], values[0])
rng = random.Random(seed)
n = len(values)
draws = []
for _ in range(max(100, int(samples))):
draws.append(mean(values[rng.randrange(n)] for _ in range(n)))
return _percentile(draws, 0.025), _percentile(draws, 0.975)
def _summary_row(label: str, result: dict[str, Any]) -> dict[str, Any]:
return {
"label": label,
"p95_ttft_ms": float(result["latency"]["step_ttft_ms"]["p95"]),
"p95_workflow_e2e_ms": float(result["latency"]["workflow_e2e_ms"]["p95"]),
"workflow_throughput_rps": float(result["summary"]["workflow_throughput_rps"]),
"completion_rate": float(result["summary"]["workflow_completion_rate"]),
"prefix_hit_rate": float(result["resource"]["prefix_hit_rate"]),
"prefetch_utilization": float(result["resource"].get("prefetch_utilization", 0.0)),
"future_role_recall_at_k": float(result["resource"].get("forecast_recall", 0.0)),
"mean_hbm_gb": float(result["resource"]["mean_prefix_hbm_gb"]),
"unused_prefetch_gb": float(result["resource"].get("unused_prefetch_gb", 0.0)),
"pressure_evictions": int(result["resource"].get("pressure_evictions", 0)),
"saved_prefill_tokens": int(result["resource"].get("prefill_tokens_saved", 0)),
}
def _dominates(a: dict[str, Any], b: dict[str, Any]) -> bool:
# The robust frontier deliberately treats speculative traffic and HBM as
# first-class resources rather than ranking on latency alone.
a_obj = (float(a["p95_ttft_ms"]), float(a["unused_prefetch_gb"]), float(a["mean_hbm_gb"]))
b_obj = (float(b["p95_ttft_ms"]), float(b["unused_prefetch_gb"]), float(b["mean_hbm_gb"]))
return all(x <= y + 1e-12 for x, y in zip(a_obj, b_obj, strict=True)) and any(
x < y - 1e-12 for x, y in zip(a_obj, b_obj, strict=True)
)
def _pareto_labels(rows: list[dict[str, Any]]) -> set[str]:
labels: set[str] = set()
for candidate in rows:
if not any(_dominates(other, candidate) for other in rows if other is not candidate):
labels.add(str(candidate["label"]))
return labels
def _offline_constrained_oracle(
base: ExecutionLearningConfig,
workflows: list[Any],
deployable_results: dict[str, dict[str, Any]],
) -> dict[str, Any]:
"""Return a bounded full-trace information upper bound.
This is intentionally *not* described as a globally optimal cache controller.
It is an exhaustive oracle over a declared candidate family: all deployable
policies already evaluated plus clairvoyant future-set plans for horizons
1..5 and top-k 1..3. Every candidate uses the same cache budget, transfer
bandwidth, model, device profile, and exact realized workflow trace.
"""
pool: list[dict[str, Any]] = []
for label, result in deployable_results.items():
pool.append(
{
"label": label,
"kind": "deployable",
"config": {
"policy": result["config"]["prefetch_policy"],
"horizon": result["config"].get("forecast_horizon", base.forecast_horizon),
"top_k": result["config"].get("prefetch_top_k", base.prefetch_top_k),
},
"result": result,
"row": _summary_row(label, result),
}
)
for horizon in range(1, 6):
for top_k in range(1, 4):
cfg = ExecutionLearningConfig.from_dict(base.to_dict())
cfg.prefetch_policy = "oracle_horizon"
cfg.forecast_horizon = horizon
cfg.prefetch_top_k = top_k
result = run_execution_learning(cfg.to_dict(), workflows)
label = f"clairvoyant H{horizon}/K{top_k}"
pool.append(
{
"label": label,
"kind": "clairvoyant",
"config": {"policy": "oracle_horizon", "horizon": horizon, "top_k": top_k},
"result": result,
"row": _summary_row(label, result),
}
)
feasible = [item for item in pool if item["row"]["completion_rate"] >= 1.0 - 1e-12]
if not feasible:
feasible = pool
winner = min(
feasible,
key=lambda item: (
item["row"]["p95_ttft_ms"],
item["row"]["p95_workflow_e2e_ms"],
item["row"]["unused_prefetch_gb"],
item["row"]["mean_hbm_gb"],
),
)
return {
"label": winner["label"],
"kind": winner["kind"],
"config": winner["config"],
"metrics": winner["row"],
"candidate_count": len(pool),
"definition": "bounded-full-trace-serving-oracle",
"note": (
"Exhaustive upper bound over the declared candidate family, including clairvoyant future-set plans. "
"It uses the complete trace for policy selection and future-role actions, but is not a proof of global optimality."
),
}
def repeated_seed_policy_study(
config: dict[str, Any],
repetitions: int = 12,
bootstrap_samples: int = 600,
) -> dict[str, Any]:
base = ExecutionLearningConfig.from_dict(config)
repetitions = max(4, min(int(repetitions), 24))
bootstrap_samples = max(100, min(int(bootstrap_samples), 4000))
seed_runs: list[dict[str, Any]] = []
per_policy: dict[str, list[dict[str, Any]]] = {label: [] for label, _ in POLICIES}
for rep in range(repetitions):
seed = base.seed + rep * 1009
seeded = ExecutionLearningConfig.from_dict(base.to_dict())
seeded.seed = seed
workflows = generate_workflows(seeded)
deployable_results: dict[str, dict[str, Any]] = {}
rows: list[dict[str, Any]] = []
for label, policy in POLICIES:
cfg = ExecutionLearningConfig.from_dict(seeded.to_dict())
cfg.prefetch_policy = policy
result = run_execution_learning(cfg.to_dict(), workflows)
deployable_results[label] = result
row = _summary_row(label, result)
rows.append(row)
per_policy[label].append(row)
pareto = _pareto_labels(rows)
nominal_winner = min(rows, key=lambda row: (row["p95_ttft_ms"], row["unused_prefetch_gb"]))["label"]
oracle = _offline_constrained_oracle(seeded, workflows, deployable_results)
oracle_ttft = float(oracle["metrics"]["p95_ttft_ms"])
for row in rows:
row["pareto"] = row["label"] in pareto
row["ttft_winner"] = row["label"] == nominal_winner
row["oracle_regret_ms"] = max(0.0, float(row["p95_ttft_ms"]) - oracle_ttft)
row["oracle_regret_pct"] = (
row["oracle_regret_ms"] / oracle_ttft * 100.0 if oracle_ttft > 1e-12 else 0.0
)
seed_runs.append({"rep": rep + 1, "seed": seed, "rows": rows, "oracle": oracle})
baseline_label = "Top-1 decayed"
baseline_ttfts = [float(row["p95_ttft_ms"]) for row in per_policy[baseline_label]]
summaries: list[dict[str, Any]] = []
for index, (label, _) in enumerate(POLICIES):
rows = per_policy[label]
ttfts = [float(row["p95_ttft_ms"]) for row in rows]
ci_low, ci_high = _bootstrap_mean_ci(ttfts, bootstrap_samples, base.seed ^ (index + 1) * 7919)
paired_deltas = [ttft - base_ttft for ttft, base_ttft in zip(ttfts, baseline_ttfts, strict=True)]
delta_low, delta_high = _bootstrap_mean_ci(
paired_deltas, bootstrap_samples, base.seed ^ (index + 1) * 104729
)
seed_rows = [
next(row for row in seed_run["rows"] if row["label"] == label)
for seed_run in seed_runs
]
regrets = [float(row["oracle_regret_ms"]) for row in seed_rows]
regret_low, regret_high = _bootstrap_mean_ci(
regrets, bootstrap_samples, base.seed ^ (index + 1) * 15485863
)
summaries.append(
{
"label": label,
"mean_ttft_ms": mean(ttfts),
"median_ttft_ms": median(ttfts),
"ttft_ci95_low_ms": ci_low,
"ttft_ci95_high_ms": ci_high,
"paired_delta_vs_top1_mean_ms": mean(paired_deltas),
"paired_delta_ci95_low_ms": delta_low,
"paired_delta_ci95_high_ms": delta_high,
"ttft_win_rate": mean(1.0 if row["ttft_winner"] else 0.0 for row in seed_rows),
"pareto_stability": mean(1.0 if row["pareto"] else 0.0 for row in seed_rows),
"median_oracle_regret_ms": median(regrets),
"mean_oracle_regret_ms": mean(regrets),
"oracle_regret_ci95_low_ms": regret_low,
"oracle_regret_ci95_high_ms": regret_high,
"worst_seed_ttft_ms": max(ttfts),
"mean_unused_prefetch_gb": mean(float(row["unused_prefetch_gb"]) for row in rows),
"mean_hbm_gb": mean(float(row["mean_hbm_gb"]) for row in rows),
"mean_completion_rate": mean(float(row["completion_rate"]) for row in rows),
}
)
ranked = sorted(
summaries,
key=lambda row: (
-float(row["ttft_win_rate"]),
float(row["median_ttft_ms"]),
float(row["median_oracle_regret_ms"]),
-float(row["pareto_stability"]),
float(row["mean_unused_prefetch_gb"]),
),
)
rank_map = {row["label"]: rank + 1 for rank, row in enumerate(ranked)}
for row in summaries:
row["robust_rank"] = rank_map[row["label"]]
nominal_first_seed = min(
seed_runs[0]["rows"], key=lambda row: (row["p95_ttft_ms"], row["unused_prefetch_gb"])
)["label"]
oracle_ttfts = [float(seed_run["oracle"]["metrics"]["p95_ttft_ms"]) for seed_run in seed_runs]
oracle_labels: dict[str, int] = {}
for seed_run in seed_runs:
label = str(seed_run["oracle"]["label"])
oracle_labels[label] = oracle_labels.get(label, 0) + 1
return {
"study": "repeated-seed-policy-consolidation",
"protocol": "matched-seeds-bootstrap-and-bounded-offline-oracle",
"repetitions": repetitions,
"bootstrap_samples": bootstrap_samples,
"config": base.to_dict(),
"policies": summaries,
"seed_runs": seed_runs,
"nominal_winner_first_seed": nominal_first_seed,
"robust_winner": ranked[0]["label"] if ranked else None,
"oracle": {
"definition": "bounded-full-trace-serving-oracle",
"candidate_count_per_seed": seed_runs[0]["oracle"]["candidate_count"] if seed_runs else 0,
"median_ttft_ms": median(oracle_ttfts) if oracle_ttfts else 0.0,
"mean_ttft_ms": mean(oracle_ttfts) if oracle_ttfts else 0.0,
"selected_plan_frequency": oracle_labels,
"note": (
"The oracle exhaustively selects among the evaluated deployable policies plus clairvoyant future-set "
"plans over H=1..5 and K=1..3 on each complete trace, under the same cache/bandwidth constraints. "
"It is a bounded information upper bound, not a proof of globally optimal action scheduling."
),
},
"pareto_objectives": ["p95_step_ttft_ms", "unused_prefetch_gb", "mean_hbm_gb"],
"note": (
"Robust rank prioritizes how often a policy wins TTFT across matched seeds, then median TTFT and regret to "
"the bounded offline oracle. Pareto stability is reported separately rather than silently overriding latency. "
"Bootstrap intervals quantify seed uncertainty, not real-hardware error."
),
}
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