---
url: >-
  https://jer-k.github.io/effect-prophet/benchmarks/logistic/logistic-implicit-floor-minmax.md
---

# Weekly pattern, minmax scaling

&#x20;[← All logistic growth benchmarks](/benchmarks/logistic)

96 daily rows rising toward a ceiling of about 60, with a custom weekly pattern and one changepoint. Values are scaled between the lowest floor and the highest ceiling.

## Input

[`benchmark/inputs/v1/logistic-implicit-floor.json`](https://github.com/jer-k/effect-prophet/blob/main/benchmark/inputs/v1/logistic-implicit-floor.json): 96 history rows and 24 forecast rows.

## Output

Largest difference: **1.9e-11** (< 0.0001% of the input's range).

Every forecast row from both libraries.

| Date | Effect Prophet | Python Prophet | Difference |
| --- | ---: | ---: | ---: |
| 2020-04-06 | 64.8977 | 64.8977 | 1.9e-11 |
| 2020-04-07 | 65.3452 | 65.3452 | 1.9e-11 |
| 2020-04-08 | 65.9695 | 65.9695 | 1.9e-11 |
| 2020-04-09 | 66.6587 | 66.6587 | 1.9e-11 |
| 2020-04-10 | 67.1452 | 67.1452 | 1.8e-11 |
| 2020-04-11 | 67.2451 | 67.2451 | 1.8e-11 |
| 2020-04-12 | 67.1872 | 67.1872 | 1.7e-11 |
| 2020-04-13 | 67.3187 | 67.3187 | 1.7e-11 |
| 2020-04-14 | 67.7078 | 67.7078 | 1.6e-11 |
| 2020-04-15 | 68.2754 | 68.2754 | 1.6e-11 |
| 2020-04-16 | 68.9095 | 68.9095 | 1.6e-11 |
| 2020-04-17 | 69.3426 | 69.3426 | 1.6e-11 |
| 2020-04-18 | 69.3907 | 69.3907 | 1.5e-11 |
| 2020-04-19 | 69.2826 | 69.2826 | 1.5e-11 |
| 2020-04-20 | 69.3655 | 69.3655 | 1.4e-11 |
| 2020-04-21 | 69.7075 | 69.7075 | 1.4e-11 |
| 2020-04-22 | 70.2296 | 70.2296 | 1.3e-11 |
| 2020-04-23 | 70.8197 | 70.8197 | 1.3e-11 |
| 2020-04-24 | 71.2103 | 71.2103 | 1.3e-11 |
| 2020-04-25 | 71.2173 | 71.2173 | 1.3e-11 |
| 2020-04-26 | 71.0696 | 71.0696 | 1.2e-11 |
| 2020-04-27 | 71.1143 | 71.1143 | 1.1e-11 |
| 2020-04-28 | 71.4195 | 71.4195 | 1.1e-11 |
| 2020-04-29 | 71.9060 | 71.9060 | 1.1e-11 |

## Timing

Median of all measured repetitions.

| Step | Effect Prophet | Python Prophet | Effect Prophet is |
| --- | ---: | ---: | --- |
| Convert input rows | 15 µs | 492 µs | 32× faster |
| Fit | 20.6 ms | 32.2 ms | 1.6× faster |
| Predict | 304 µs | 3.26 ms | 11× faster |
| Fit and predict | 20.3 ms | 35.9 ms | 1.8× faster |
| Convert, fit and predict | 20.1 ms | 36.5 ms | 1.8× faster |
| First forecast in a new process | 189 ms | 1.47 s | 7.8× faster |
| Save model to JSON | 30 µs | 505 µs | 17× faster |
| Load model from JSON | 96 µs | 2.40 ms | 25× faster |
| Load and predict in a new process | 164 ms | 1.43 s | 8.7× faster |

## Settings

The case declaration both libraries ran.

```json
{
  "kind": "map",
  "comparison": {
    "kind": "equivalent-objective",
    "evidenceId": "logistic-map-v1"
  },
  "configuration": {
    "growth": "logistic",
    "scaling": "minmax",
    "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": []
  },
  "pythonOptimizer": {
    "algorithm": "Auto",
    "maxIterations": 10000,
    "newtonFallback": true,
    "sigFigs": 12
  }
}
```
