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Ranges over past dates ​

match ← All linear growth benchmarks

80% ranges from 128 simulated paths on 8 dates inside the history.

Input ​

benchmark/inputs/v1/linear-offset-scaling.json: 96 history rows and 24 forecast rows.

Output ​

Largest difference: 1.2e-11 (< 0.0001% of the input's range).

Every forecast row from both libraries.

DateEffect ProphetPython ProphetDifference
2020-03-29109.2537109.25371.2e-11
2020-03-30109.2406109.24061.2e-11
2020-03-31109.4134109.41341.2e-11
2020-04-01109.7283109.72831.2e-11
2020-04-02110.0413110.04131.2e-11
2020-04-03110.2101110.21011.2e-11
2020-04-04110.1943110.19431.2e-11
2020-04-05110.0950110.09501.2e-11

Timing ​

Median of all measured repetitions.

StepEffect ProphetPython ProphetEffect Prophet is
Convert input rows14 µs472 µs34× faster
Save model to JSON19 µs467 µs25× faster
Load model from JSON143 µs2.22 ms16× faster
Simulate uncertainty327 µs20.3 ms62× faster
First simulation in a new process174 ms1.49 s8.6× faster
Load and simulate in a new process156 ms1.48 s9.5× faster

Settings ​

The case declaration both libraries ran.

json
{
  "kind": "map",
  "comparison": {
    "kind": "equivalent-objective",
    "evidenceId": "linear-output-first-v4"
  },
  "configuration": {
    "growth": "linear",
    "scaling": "absmax",
    "seasonalityMode": "additive",
    "holidaysMode": "additive",
    "changepoints": {
      "mode": "explicit",
      "timestamps": [
        "2020-02-10T00:00:00.000Z"
      ]
    },
    "changepointPriorScale": 0.2,
    "seasonalities": [
      {
        "name": "weekly-custom",
        "periodDays": 7,
        "fourierOrder": 2,
        "priorScale": 10
      }
    ],
    "events": [],
    "regressors": []
  },
  "effectOptimizer": {
    "algorithm": "auto",
    "maxIterations": 10000,
    "fallback": "newton",
    "lbfgs": {
      "historySize": 5,
      "initAlpha": 0.001,
      "tolObj": 1e-12,
      "tolRelObj": 10000,
      "tolGrad": 1e-8,
      "tolRelGrad": 10000000,
      "tolParam": 1e-8
    }
  },
  "pythonOptimizer": {
    "algorithm": "Auto",
    "maxIterations": 10000,
    "newtonFallback": true,
    "sigFigs": 12
  },
  "uncertainty": {
    "seed": 19,
    "samples": 128,
    "intervalWidth": 0.8,
    "output": "intervals",
    "algorithm": "scalar-continuous-time",
    "evidence": "docs/validation/uncertainty.md#evidence-classes",
    "samplerMemoryLimitBytes": 67108864
  }
}

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