Forecasting a World That Accelerates Ω · Engine v2.0.0

SWE-bench Verified frontier resolved rate

What bounded trajectory is implied by the selected public SWE-bench Verified frontier records through December 2026?
Cutoff 2026-07-28Horizon 2026-12-31Selected official leaderboard frontier excerptForecast ID swe-bench-verified-frontier-demonstration-2026-07-28

Executive forecast

Base horizon median
83.493
percent resolved
Base 80% interval
43.591–86.089
Model, residual and scenario uncertainty
Recent annualized pace
27.7%
Log-interpolated six-month window
Recalculate
2026-08-27
Earlier if a trigger fires

Decision implication. Use the case to test bounded forecasting and saturation; do not treat system leaderboard gains as isolated model capability or verified organizational value.

Compact Canonical Model

Ys(t) = Bs(t) min { Q0 exp[∫0t gQ,s(u)du], Ms(t)Ds(t)Us(t) }Realized output is limited by technical capacity and absorptive demand, with branch-specific and transfer constraints applied exactly once.

Generalized realization family

Y = BX[ α(BQQ)−ρ + (1−α)(BZZ)−ρ ]−1/ρAs ρ → ∞, the generalized family converges to the compact hard minimum.

Scenario forecast

ScenarioProbabilityHorizon median80% intervalAssumptions
Base58.0%83.49343.591 – 86.089Model-averaged historical dynamics continue within the benchmark definition.
Accelerated20.0%86.77245.303 – 89.470Recent acceleration persists.
Saturation / measurement stress17.0%75.79739.573 – 78.153Benchmark saturation or measurement limitations dominate.
Discontinuous5.0%83.49343.591 – 86.184A structural improvement loop materially changes the trajectory.
Forecast chart

Current pace

Current
79.200
6 months ago
70.079
12 months ago
54.874
Log-growth acceleration
-0.494
per year²

Rates use log interpolation at six- and twelve-month anchors.

Model competition

ModelConvergedAICcLog RMSEHorizon prediction
logisticYes-14.5450.01284.009
acceleratingYes-11.4970.01442.479
linearYes-6.0080.058123.439
exponentialYes0.5450.093159.322
decaying_accelerationYes27.1150.01167.547
change_pointYes35.6670.021117.027

Milestones

MilestoneScenarioProbabilityMedian crossingEarly 10%Late 90%
80% resolvedbase75.0%2026-07-282026-07-282026-07-28
80% resolvedaccelerated75.0%2026-07-282026-07-282026-07-28
80% resolveddownside74.0%2026-07-282026-07-282026-07-28
80% resolveddiscontinuous75.0%2026-07-282026-07-282026-07-28
90% resolvedbase1.0%2026-07-282026-07-282026-07-28
90% resolvedaccelerated8.0%2026-12-312026-12-012026-12-31
90% resolveddownside1.0%2026-07-282026-07-282026-07-28
90% resolveddiscontinuous3.0%2026-09-012026-07-282026-11-01

Bottlenecks

ConstraintSeverityMechanismRelease conditionMitigation
Benchmark saturation and configuration drifthighAs scores rise, remaining tasks and changes in scaffolds, tools, attempts, and model versions limit comparability.A harder fresh benchmark with controlled configuration is available.Track system metadata and use a bounded model with explicit version breaks.

Trigger dashboard

TriggerDirectionThresholdForecast effectAction
Official leaderboard or benchmark revisioneventNew verified record or benchmark versionMay change both the level and the measurement regime.Freeze the upstream file and rerun the bounded hindcast.

Optimal plan for today’s regime

no regret actions
Freeze source snapshots and record benchmark/configuration changes.; Use rolling-origin scores rather than in-sample fit alone.
option preserving actions
Maintain multiple model classes and trigger-based recalibration.
next experiment
Add the complete upstream dataset and rerun the preregistered hindcast.
delay pending evidence
Do not translate benchmark movement directly into revenue or deployment.
stop expand pivot
Expand confidence only after independent replication and prospective calibration.

Evidence ledger

IDEvidenceGradeMeasurement datePublisher
swe-bench-official-leaderboardSWE-bench official leaderboard data — Verified trackA2025-12-05SWE-bench
swe-bench-frontier-excerptFWAA selected SWE-bench Verified frontier excerptB2025-12-05MONTREAL.AI

Confidence and limitations

Evidence quality score
0.900
Model disagreement
0.437
Base p80 relative width
50.9%

Boundary. Research and decision-support output only. No warranty, assurance, legal, investment, tax, medical, or regulatory advice is provided.

Reproducibility

Input SHA-256
6ac8b2c7b01fd1825561c5dfc5eae5a03467b31fd6c2e2f41d28fff50263fc3a
Seed
20260729
Bootstrap samples
100
Open complete machine-readable result
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  "engine_version": "2.0.0",
  "forecast_id": "swe-bench-verified-frontier-demonstration-2026-07-28",
  "generated_at": "2026-07-28T16:00:00+00:00",
  "research_cutoff": "2026-07-28T18:00:00+00:00",
  "target": {
    "question": "What bounded trajectory is implied by the selected public SWE-bench Verified frontier records through December 2026?",
    "metric": "SWE-bench Verified frontier resolved rate",
    "unit": "percent resolved",
    "scope": "Selected official leaderboard frontier excerpt",
    "horizon_end": "2026-12-31",
    "target_kind": "probability",
    "success_definition": "Percent of the 500 human-filtered SWE-bench Verified instances resolved under the recorded system configuration.",
    "direction": "higher_is_better",
    "lower_bound": 0,
    "upper_bound": 100
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  "executive_forecast": {
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      "upper": 86.0893224190951
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    "decision_implication": "Use the case to test bounded forecasting and saturation; do not treat system leaderboard gains as isolated model capability or verified organizational value.",
    "validation_status": "Probabilistic reference forecast; not a guarantee or assurance engagement."
  },
  "observations": [
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      "date": "2024-06-20",
      "value": 33.6,
      "evidence_ids": [
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      ],
      "comparable": true,
      "note": "Official leaderboard record; system-level result"
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    {
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      "evidence_ids": [
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      "comparable": true,
      "note": "Official leaderboard record; checked flag false"
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      "evidence_ids": [
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      "comparable": true,
      "note": "Official leaderboard record; multiple attempts"
    },
    {
      "date": "2025-02-03",
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      "evidence_ids": [
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      "comparable": true,
      "note": "Official leaderboard record; multiple attempts"
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    {
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      "evidence_ids": [
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      "comparable": true,
      "note": "Official leaderboard record"
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    {
      "date": "2025-09-28",
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      "evidence_ids": [
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      "comparable": true,
      "note": "Official leaderboard record; multiple attempts"
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    {
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      "evidence_ids": [
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      "comparable": true,
      "note": "Official leaderboard record"
    }
  ],
  "evidence": [
    {
      "id": "swe-bench-official-leaderboard",
      "title": "SWE-bench official leaderboard data — Verified track",
      "publisher": "SWE-bench",
      "source_url": "https://github.com/SWE-bench/swe-bench.github.io/blob/master/data/leaderboards.json",
      "quality_grade": "A",
      "measurement_date": "2025-12-05",
      "publication_date": "2025-12-05",
      "accessed_at": "2026-07-28T14:00:00-04:00",
      "primary": true,
      "claim": "Official leaderboard records for system-level percent resolved on SWE-bench Verified.",
      "license": null,
      "sha256": null,
      "notes": "The hash is the observed Git blob identifier, not a SHA-256 digest."
    },
    {
      "id": "swe-bench-frontier-excerpt",
      "title": "FWAA selected SWE-bench Verified frontier excerpt",
      "publisher": "MONTREAL.AI",
      "source_url": "https://github.com/MontrealAI/forecasting-a-world-that-accelerates",
      "quality_grade": "B",
      "measurement_date": "2025-12-05",
      "publication_date": "2026-07-28",
      "accessed_at": "2026-07-28T14:00:00-04:00",
      "primary": false,
      "claim": "Selected source-linked public frontier records for bounded-model demonstration.",
      "license": null,
      "sha256": null,
      "notes": "Not a complete leaderboard mirror."
    }
  ],
  "current_pace": {
    "anchor_dates": {
      "current": "2025-12-05",
      "six_months_ago": "2025-06-05",
      "twelve_months_ago": "2024-12-05"
    },
    "anchor_values": {
      "current": 79.19999999999999,
      "six_months_ago": 70.07895457571365,
      "twelve_months_ago": 54.873960486796626
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    "recent_continuous_growth": 0.24420107539965977,
    "prior_continuous_growth": 0.4908369554499001,
    "annualized_recent_change": 0.2766009977396815,
    "annualized_prior_change": 0.6336829677853701,
    "log_growth_acceleration": -0.49359948174931456,
    "recent_doubling_time_years": 2.8384280430605795,
    "note": "Rates use log interpolation at six- and twelve-month anchors."
  },
  "compact_canonical_model": {
    "equation": "Y_s(t)=B_s(t) min{Q_0 exp[int_0^t g_Q,s(u) du], M_s(t)D_s(t)U_s(t)}",
    "technical_growth_equation": "g_Q,s=beta_theta theta_dot-beta_c c_dot/c-beta_tau tau_dot/tau+beta_A A_dot/(A+epsilon)+beta_P P_dot/P+beta_R R_dot/R",
    "generalized_family": "Y=B_X[alpha(B_Q Q)^(-rho)+(1-alpha)(B_Z Z)^(-rho)]^(-1/rho); rho->infinity yields the hard minimum.",
    "configuration": {
      "mode": "reduced_form",
      "input_series_semantics": "realized_outcome"
    },
    "diagnostics": {
      "base": {},
      "accelerated": {},
      "downside": {},
      "discontinuous": {}
    },
    "plain_language": "Realized output is limited by technical capacity and absorptive demand, with branch-specific and transfer constraints applied exactly once."
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      "linear",
      "exponential",
      "accelerating",
      "decaying_acceleration",
      "logistic",
      "change_point"
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    "fits": [
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      "accelerating": 0.17672054886064706,
      "decaying_acceleration": 7.292463393037677e-10,
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      "change_point": 1.0134255276305417e-11
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        "n": 0,
        "rmse_log": null,
        "mae_log": null,
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      },
      {
        "model": "model_average",
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        "mae_log": 0.10896302918084722,
        "smape": 0.10884319945417648
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    ]
  },
  "forecast_dates": [
    "2026-07-28",
    "2026-08-01",
    "2026-09-01",
    "2026-10-01",
    "2026-11-01",
    "2026-12-01",
    "2026-12-31"
  ],
  "scenarios": [
    {
      "id": "base",
      "label": "Base",
      "kind": "base",
      "probability": 0.58,
      "assumptions": [
        "Model-averaged historical dynamics continue within the benchmark definition."
      ],
      "parameters": {},
      "forecast_points": [
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          "intervals": {
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            "p80": {
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            "p95": {
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          }
        },
        {
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          }
        }
      ],
      "horizon_summary": {
        "date": "2026-12-31",
        "median": 83.49338009688697,
        "mean": 74.17875169067196,
        "intervals": {
          "p50": {
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          "p95": {
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        }
      },
      "invalidation_conditions": [
        "A benchmark version change breaks comparability."
      ]
    },
    {
      "id": "accelerated",
      "label": "Accelerated",
      "kind": "accelerated",
      "probability": 0.2,
      "assumptions": [
        "Recent acceleration persists."
      ],
      "parameters": {
        "annual_growth_shift": 0.08,
        "annual_acceleration_shift": 0.05
      },
      "forecast_points": [
        {
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          "intervals": {
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            "p80": {
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            "p95": {
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        "No verified regime-change signal appears."
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      "direction": "at_least",
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        "Benchmark definition and system configuration remain comparable."
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        "Fresh unsaturated tasks preserve meaning."
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    {
      "name": "Benchmark saturation and configuration drift",
      "severity": "high",
      "mechanism": "As scores rise, remaining tasks and changes in scaffolds, tools, attempts, and model versions limit comparability.",
      "release_condition": "A harder fresh benchmark with controlled configuration is available.",
      "mitigation": "Track system metadata and use a bounded model with explicit version breaks.",
      "evidence_ids": [
        "swe-bench-official-leaderboard"
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    }
  ],
  "triggers": [
    {
      "name": "Official leaderboard or benchmark revision",
      "direction": "event",
      "threshold": "New verified record or benchmark version",
      "forecast_effect": "May change both the level and the measurement regime.",
      "action": "Freeze the upstream file and rerun the bounded hindcast.",
      "evidence_ids": [
        "swe-bench-official-leaderboard"
      ]
    }
  ],
  "optimal_plan": {
    "no_regret_actions": [
      "Freeze source snapshots and record benchmark/configuration changes.",
      "Use rolling-origin scores rather than in-sample fit alone."
    ],
    "option_preserving_actions": [
      "Maintain multiple model classes and trigger-based recalibration."
    ],
    "next_experiment": [
      "Add the complete upstream dataset and rerun the preregistered hindcast."
    ],
    "delay_pending_evidence": [
      "Do not translate benchmark movement directly into revenue or deployment."
    ],
    "stop_expand_pivot": [
      "Expand confidence only after independent replication and prospective calibration."
    ]
  },
  "confidence": {
    "evidence_quality_score": 0.9,
    "horizon_log_model_disagreement": 0.43692887800358887,
    "base_horizon_p80_relative_width": 0.5090026286803542,
    "limitations": [
      "Only seven selected records.",
      "Records combine model and scaffold effects and may differ in attempts.",
      "Checked status varies across entries.",
      "Submission date is not model release date."
    ],
    "assumptions": [
      "The selected records approximate a cumulative public system frontier."
    ]
  },
  "recalculation": {
    "scheduled_date": "2026-08-27",
    "early_triggers": [
      "New official leaderboard record",
      "Benchmark version change"
    ],
    "required_evidence": [
      "Complete leaderboard snapshot",
      "Configuration metadata",
      "Checked or independently reproduced status"
    ]
  },
  "reproducibility": {
    "input_sha256": "6ac8b2c7b01fd1825561c5dfc5eae5a03467b31fd6c2e2f41d28fff50263fc3a",
    "random_seed": 20260729,
    "bootstrap_samples_requested": 100,
    "bootstrap_samples_successful": 100,
    "models": [
      "linear",
      "exponential",
      "accelerating",
      "decaying_acceleration",
      "logistic",
      "change_point"
    ],
    "code_version": "2.0.0"
  },
  "legal_notice": "Research and decision-support output only. No warranty, assurance, legal, investment, tax, medical, or regulatory advice is provided."
}