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

# Additive effects, eight months, minmax scaling

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

The same additive features on 256 daily rows.

## 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: **2.3e-11** (< 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 | 2.3e-11 |
| 2020-09-14 | 21.3587 | 21.3587 | 1.4e-11 |
| 2020-09-15 | 24.0607 | 24.0607 | 3.0e-12 |
| 2020-09-16 | 34.9928 | 34.9928 | 1.4e-12 |
| 2020-09-17 | 36.2008 | 36.2008 | 1.0e-11 |
| 2020-09-18 | 48.6567 | 48.6567 | 1.5e-11 |
| 2020-09-19 | 41.0719 | 41.0719 | 2.3e-11 |
| 2020-09-20 | 28.9196 | 28.9196 | 2.3e-11 |
| 2020-09-21 | 21.3587 | 21.3587 | 1.4e-11 |
| 2020-09-22 | 35.0006 | 35.0006 | 1.1e-11 |
| 2020-09-23 | 36.1930 | 36.1930 | 2.7e-12 |
| 2020-09-24 | 45.9441 | 45.9441 | 3.7e-12 |
| 2020-09-25 | 48.6567 | 48.6567 | 1.5e-11 |
| 2020-09-26 | 41.0719 | 41.0719 | 2.3e-11 |
| 2020-09-27 | 35.0006 | 35.0006 | 1.1e-11 |
| 2020-09-28 | 21.3587 | 21.3587 | 1.4e-11 |
| 2020-09-29 | 25.2609 | 25.2609 | 1.8e-12 |
| 2020-09-30 | 34.9928 | 34.9928 | 1.4e-12 |
| 2020-10-01 | 45.9441 | 45.9441 | 3.7e-12 |
| 2020-10-02 | 35.0006 | 35.0006 | 1.1e-11 |
| 2020-10-03 | 41.0719 | 41.0719 | 2.3e-11 |
| 2020-10-04 | 28.9196 | 28.9196 | 2.3e-11 |
| 2020-10-05 | 22.5589 | 22.5589 | 1.3e-11 |
| 2020-10-06 | 24.0607 | 24.0607 | 3.0e-12 |
| 2020-10-07 | 35.0006 | 35.0006 | 1.1e-11 |
| 2020-10-08 | 45.9441 | 45.9441 | 3.7e-12 |
| 2020-10-09 | 48.6567 | 48.6567 | 1.5e-11 |
| 2020-10-10 | 41.0719 | 41.0719 | 2.3e-11 |
| 2020-10-11 | 30.1197 | 30.1197 | 2.1e-11 |
| 2020-10-12 | 35.0006 | 35.0006 | 1.1e-11 |
| 2020-10-13 | 24.0607 | 24.0607 | 3.0e-12 |
| 2020-10-14 | 34.9928 | 34.9928 | 1.4e-12 |
| 2020-10-15 | 45.9441 | 45.9441 | 3.7e-12 |
| 2020-10-16 | 48.6567 | 48.6567 | 1.5e-11 |
| 2020-10-17 | 36.2008 | 36.2008 | 1.0e-11 |
| 2020-10-18 | 28.9196 | 28.9196 | 2.3e-11 |
| 2020-10-19 | 21.3587 | 21.3587 | 1.4e-11 |
| 2020-10-20 | 24.0607 | 24.0607 | 3.0e-12 |
| 2020-10-21 | 34.9928 | 34.9928 | 1.4e-12 |
| 2020-10-22 | 35.0006 | 35.0006 | 1.1e-11 |
| 2020-10-23 | 49.8569 | 49.8569 | 1.3e-11 |
| 2020-10-24 | 41.0719 | 41.0719 | 2.3e-11 |
| 2020-10-25 | 28.9196 | 28.9196 | 2.3e-11 |
| 2020-10-26 | 21.3587 | 21.3587 | 1.4e-11 |
| 2020-10-27 | 35.0006 | 35.0006 | 1.1e-11 |
| 2020-10-28 | 34.9928 | 34.9928 | 1.4e-12 |
| 2020-10-29 | 47.1442 | 47.1442 | 2.5e-12 |
| 2020-10-30 | 48.6567 | 48.6567 | 1.5e-11 |
| 2020-10-31 | 41.0719 | 41.0719 | 2.3e-11 |
| 2020-11-01 | 35.0006 | 35.0006 | 1.1e-11 |
| 2020-11-02 | 21.3587 | 21.3587 | 1.4e-11 |
| 2020-11-03 | 24.0607 | 24.0607 | 3.0e-12 |
| 2020-11-04 | 36.1930 | 36.1930 | 2.7e-12 |
| 2020-11-05 | 45.9441 | 45.9441 | 3.7e-12 |
| 2020-11-06 | 35.0006 | 35.0006 | 1.1e-11 |
| 2020-11-07 | 41.0719 | 41.0719 | 2.3e-11 |
| 2020-11-08 | 28.9196 | 28.9196 | 2.3e-11 |
| 2020-11-09 | 21.3587 | 21.3587 | 1.4e-11 |
| 2020-11-10 | 25.2609 | 25.2609 | 1.8e-12 |
| 2020-11-11 | 35.0006 | 35.0006 | 1.1e-11 |
| 2020-11-12 | 45.9441 | 45.9441 | 3.7e-12 |
| 2020-11-13 | 48.6567 | 48.6567 | 1.5e-11 |
| 2020-11-14 | 41.0719 | 41.0719 | 2.3e-11 |
| 2020-11-15 | 28.9196 | 28.9196 | 2.3e-11 |

## Timing

Median of all measured repetitions.

| Step | Effect Prophet | Python Prophet | Effect Prophet is |
| --- | ---: | ---: | --- |
| Convert input rows | 103 µs | 643 µs | 6.3× faster |
| Fit | 2.16 ms | 8.96 ms | 4.2× faster |
| Predict | 518 µs | 4.76 ms | 9.2× faster |
| Fit and predict | 2.15 ms | 13.8 ms | 6.4× faster |
| Convert, fit and predict | 2.04 ms | 14.5 ms | 7.1× faster |
| First forecast in a new process | 173 ms | 1.43 s | 8.2× faster |
| Save model to JSON | 27 µs | 858 µs | 32× faster |
| Load model from JSON | 134 µs | 3.82 ms | 29× faster |
| Load and predict in a new process | 165 ms | 1.42 s | 8.6× faster |

## Settings

The case declaration both libraries ran.

```json
{
  "kind": "map",
  "comparison": {
    "kind": "equivalent-objective",
    "evidenceId": "flat-map-additive-v1"
  },
  "configuration": {
    "growth": "flat",
    "scaling": "minmax",
    "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"
      }
    ],
    "events": [
      {
        "name": "campaign",
        "date": "2020-01-22",
        "lowerWindowDays": 0,
        "upperWindowDays": 0,
        "priorScale": 10
      }
    ],
    "regressors": [
      {
        "name": "promotion",
        "priorScale": 10,
        "standardization": "never"
      }
    ]
  },
  "pythonOptimizer": {
    "algorithm": "Auto",
    "maxIterations": 10000,
    "newtonFallback": true,
    "sigFigs": 12
  }
}
```