---
url: >-
  https://jer-k.github.io/effect-prophet/benchmarks/flat/flat-mixed-components-large-absmax.md
---

# Mixed effects, eight months, absmax scaling

 [← All flat growth benchmarks](/benchmarks/flat)

The same features on 256 daily rows with absmax scaling.

## Input

[`benchmark/inputs/v1/flat-mixed-components-large.json`](https://github.com/jer-k/effect-prophet/blob/main/benchmark/inputs/v1/flat-mixed-components-large.json): 256 history rows and 64 forecast rows.

## Output

Largest difference: **1.9e-7** (< 0.0001% of the input's range).

Every forecast row from both libraries.

| Date | Effect Prophet | Python Prophet | Difference |
| --- | ---: | ---: | ---: |
| 2020-09-13 | 28.9196 | 28.9196 | 1.6e-7 |
| 2020-09-14 | 21.3587 | 21.3587 | 1.9e-7 |
| 2020-09-15 | 24.0607 | 24.0607 | 1.5e-7 |
| 2020-09-16 | 34.9928 | 34.9928 | 5.1e-8 |
| 2020-09-17 | 36.2008 | 36.2008 | 7.4e-8 |
| 2020-09-18 | 48.6567 | 48.6567 | 1.5e-8 |
| 2020-09-19 | 41.0719 | 41.0719 | 6.4e-8 |
| 2020-09-20 | 28.9196 | 28.9196 | 1.6e-7 |
| 2020-09-21 | 21.3587 | 21.3587 | 1.9e-7 |
| 2020-09-22 | 35.0006 | 35.0006 | 8.2e-8 |
| 2020-09-23 | 36.1930 | 36.1930 | 4.3e-8 |
| 2020-09-24 | 45.9441 | 45.9441 | 2.1e-8 |
| 2020-09-25 | 48.6567 | 48.6567 | 1.5e-8 |
| 2020-09-26 | 41.0719 | 41.0719 | 6.4e-8 |
| 2020-09-27 | 35.0006 | 35.0006 | 8.2e-8 |
| 2020-09-28 | 21.3587 | 21.3587 | 1.9e-7 |
| 2020-09-29 | 25.2609 | 25.2609 | 1.4e-7 |
| 2020-09-30 | 34.9928 | 34.9928 | 5.1e-8 |
| 2020-10-01 | 45.9441 | 45.9441 | 2.1e-8 |
| 2020-10-02 | 35.0006 | 35.0006 | 8.2e-8 |
| 2020-10-03 | 41.0719 | 41.0719 | 6.4e-8 |
| 2020-10-04 | 28.9196 | 28.9196 | 1.6e-7 |
| 2020-10-05 | 22.5589 | 22.5589 | 1.9e-7 |
| 2020-10-06 | 24.0607 | 24.0607 | 1.5e-7 |
| 2020-10-07 | 35.0006 | 35.0006 | 8.2e-8 |
| 2020-10-08 | 45.9441 | 45.9441 | 2.1e-8 |
| 2020-10-09 | 48.6567 | 48.6567 | 1.5e-8 |
| 2020-10-10 | 41.0719 | 41.0719 | 6.4e-8 |
| 2020-10-11 | 30.1197 | 30.1197 | 1.5e-7 |
| 2020-10-12 | 35.0006 | 35.0006 | 8.2e-8 |
| 2020-10-13 | 24.0607 | 24.0607 | 1.5e-7 |
| 2020-10-14 | 34.9928 | 34.9928 | 5.1e-8 |
| 2020-10-15 | 45.9441 | 45.9441 | 2.1e-8 |
| 2020-10-16 | 48.6567 | 48.6567 | 1.5e-8 |
| 2020-10-17 | 36.2008 | 36.2008 | 7.4e-8 |
| 2020-10-18 | 28.9196 | 28.9196 | 1.6e-7 |
| 2020-10-19 | 21.3587 | 21.3587 | 1.9e-7 |
| 2020-10-20 | 24.0607 | 24.0607 | 1.5e-7 |
| 2020-10-21 | 34.9928 | 34.9928 | 5.1e-8 |
| 2020-10-22 | 35.0006 | 35.0006 | 8.2e-8 |
| 2020-10-23 | 49.8569 | 49.8569 | 2.4e-8 |
| 2020-10-24 | 41.0719 | 41.0719 | 6.4e-8 |
| 2020-10-25 | 28.9196 | 28.9196 | 1.6e-7 |
| 2020-10-26 | 21.3587 | 21.3587 | 1.9e-7 |
| 2020-10-27 | 35.0006 | 35.0006 | 8.2e-8 |
| 2020-10-28 | 34.9928 | 34.9928 | 5.1e-8 |
| 2020-10-29 | 47.1442 | 47.1442 | 2.9e-8 |
| 2020-10-30 | 48.6567 | 48.6567 | 1.5e-8 |
| 2020-10-31 | 41.0719 | 41.0719 | 6.4e-8 |
| 2020-11-01 | 35.0006 | 35.0006 | 8.2e-8 |
| 2020-11-02 | 21.3587 | 21.3587 | 1.9e-7 |
| 2020-11-03 | 24.0607 | 24.0607 | 1.5e-7 |
| 2020-11-04 | 36.1930 | 36.1930 | 4.3e-8 |
| 2020-11-05 | 45.9441 | 45.9441 | 2.1e-8 |
| 2020-11-06 | 35.0006 | 35.0006 | 8.2e-8 |
| 2020-11-07 | 41.0719 | 41.0719 | 6.4e-8 |
| 2020-11-08 | 28.9196 | 28.9196 | 1.6e-7 |
| 2020-11-09 | 21.3587 | 21.3587 | 1.9e-7 |
| 2020-11-10 | 25.2609 | 25.2609 | 1.4e-7 |
| 2020-11-11 | 35.0006 | 35.0006 | 8.2e-8 |
| 2020-11-12 | 45.9441 | 45.9441 | 2.1e-8 |
| 2020-11-13 | 48.6567 | 48.6567 | 1.5e-8 |
| 2020-11-14 | 41.0719 | 41.0719 | 6.4e-8 |
| 2020-11-15 | 28.9196 | 28.9196 | 1.6e-7 |

## Timing

Median of all measured repetitions.

| Step | Effect Prophet | Python Prophet | Effect Prophet is |
| --- | ---: | ---: | --- |
| Fit | 2.57 ms | 9.07 ms | 3.5× faster |
| Predict | 553 µs | 4.77 ms | 8.6× faster |
| Save model to JSON | 17 µs | 788 µs | 45× faster |
| Load model from JSON | 187 µs | 3.84 ms | 21× faster |
| Load and predict in a new process | 167 ms | 1.43 s | 8.5× faster |

## Settings

The case declaration both libraries ran.

```json
{
  "kind": "map",
  "comparison": {
    "kind": "equivalent-objective",
    "evidenceId": "flat-growth-mixed-scaling-v1"
  },
  "configuration": {
    "growth": "flat",
    "scaling": "absmax",
    "seasonalityMode": "additive",
    "holidaysMode": "additive",
    "changepoints": {
      "mode": "auto",
      "count": 25,
      "range": 0.8
    },
    "changepointPriorScale": 0.05,
    "seasonalities": [
      {
        "name": "weekly-custom",
        "periodDays": 7,
        "fourierOrder": 2,
        "priorScale": 10,
        "conditionName": "active",
        "mode": "multiplicative"
      }
    ],
    "events": [
      {
        "name": "campaign",
        "date": "2020-01-22",
        "lowerWindowDays": 0,
        "upperWindowDays": 0,
        "priorScale": 10
      }
    ],
    "regressors": [
      {
        "name": "promotion",
        "priorScale": 10,
        "standardization": "never"
      }
    ]
  },
  "effectOptimizer": {
    "algorithm": "lbfgs",
    "maxIterations": 10000,
    "fallback": "none",
    "lbfgs": {
      "historySize": 5,
      "initAlpha": 0.001,
      "tolObj": 1e-12,
      "tolRelObj": 10000,
      "tolGrad": 1e-8,
      "tolRelGrad": 10000000,
      "tolParam": 1e-8
    }
  },
  "pythonOptimizer": {
    "algorithm": "LBFGS",
    "maxIterations": 10000,
    "newtonFallback": false
  }
}
```