Event with a window
match ← All logistic growth benchmarksA campaign on two dates, each affecting the day before and the day after too.
Input
benchmark/inputs/v2/logistic-event-96.json: 96 history rows and 120 forecast rows.
Output
Largest difference: 4.1e-11 (< 0.0001% of the input's range).
Every forecast row from both libraries.
| Date | Effect Prophet | Python Prophet | Difference |
|---|---|---|---|
| 2020-01-01 | 14.1923 | 14.1923 | 2.6e-11 |
| 2020-01-02 | 14.7244 | 14.7244 | 2.7e-11 |
| 2020-01-03 | 15.2730 | 15.2730 | 2.7e-11 |
| 2020-01-04 | 15.8385 | 15.8385 | 2.8e-11 |
| 2020-01-05 | 16.4210 | 16.4210 | 2.8e-11 |
| 2020-01-06 | 17.0208 | 17.0208 | 2.9e-11 |
| 2020-01-07 | 17.6380 | 17.6380 | 3.0e-11 |
| 2020-01-08 | 18.2730 | 18.2730 | 3.0e-11 |
| 2020-01-09 | 18.9258 | 18.9258 | 3.1e-11 |
| 2020-01-10 | 19.5967 | 19.5967 | 3.1e-11 |
| 2020-01-11 | 20.2856 | 20.2856 | 3.2e-11 |
| 2020-01-12 | 20.9928 | 20.9928 | 3.2e-11 |
| 2020-01-13 | 21.7184 | 21.7184 | 3.3e-11 |
| 2020-01-14 | 22.4622 | 22.4622 | 3.3e-11 |
| 2020-01-15 | 23.2244 | 23.2244 | 3.4e-11 |
| 2020-01-16 | 24.0049 | 24.0049 | 3.4e-11 |
| 2020-01-17 | 24.8037 | 24.8037 | 3.5e-11 |
| 2020-01-18 | 25.6206 | 25.6206 | 3.5e-11 |
| 2020-01-19 | 26.4556 | 26.4556 | 3.5e-11 |
| 2020-01-20 | 27.3084 | 27.3084 | 3.6e-11 |
| 2020-01-21 | 30.1523 | 30.1523 | 4.1e-11 |
| 2020-01-22 | 30.9563 | 30.9563 | 3.6e-11 |
| 2020-01-23 | 31.9631 | 31.9631 | 3.9e-11 |
| 2020-01-24 | 30.8937 | 30.8937 | 3.7e-11 |
| 2020-01-25 | 31.8320 | 31.8320 | 3.7e-11 |
| 2020-01-26 | 32.7862 | 32.7862 | 3.7e-11 |
| 2020-01-27 | 33.7560 | 33.7560 | 3.7e-11 |
| 2020-01-28 | 34.7408 | 34.7408 | 3.8e-11 |
| 2020-01-29 | 35.7401 | 35.7401 | 3.8e-11 |
| 2020-01-30 | 36.7534 | 36.7534 | 3.8e-11 |
| 2020-01-31 | 37.7799 | 37.7799 | 3.8e-11 |
| 2020-02-01 | 38.8191 | 38.8191 | 3.8e-11 |
| 2020-02-02 | 39.8702 | 39.8702 | 3.8e-11 |
| 2020-02-03 | 40.9325 | 40.9325 | 3.7e-11 |
| 2020-02-04 | 42.0052 | 42.0052 | 3.7e-11 |
| 2020-02-05 | 43.0876 | 43.0876 | 3.7e-11 |
| 2020-02-06 | 44.1788 | 44.1788 | 3.7e-11 |
| 2020-02-07 | 45.2779 | 45.2779 | 3.7e-11 |
| 2020-02-08 | 46.3841 | 46.3841 | 3.6e-11 |
| 2020-02-09 | 47.4970 | 47.4970 | 3.6e-11 |
| 2020-02-10 | 48.6152 | 48.6152 | 3.6e-11 |
| 2020-02-11 | 49.7377 | 49.7377 | 3.5e-11 |
| 2020-02-12 | 50.8635 | 50.8635 | 3.5e-11 |
| 2020-02-13 | 51.9918 | 51.9918 | 3.4e-11 |
| 2020-02-14 | 53.1215 | 53.1215 | 3.4e-11 |
| 2020-02-15 | 54.2517 | 54.2517 | 3.3e-11 |
| 2020-02-16 | 55.3814 | 55.3814 | 3.3e-11 |
| 2020-02-17 | 56.5096 | 56.5096 | 3.2e-11 |
| 2020-02-18 | 57.6354 | 57.6354 | 3.2e-11 |
| 2020-02-19 | 58.7579 | 58.7579 | 3.1e-11 |
| 2020-02-20 | 59.8762 | 59.8762 | 3.0e-11 |
| 2020-02-21 | 60.9892 | 60.9892 | 3.0e-11 |
| 2020-02-22 | 62.0962 | 62.0962 | 2.9e-11 |
| 2020-02-23 | 63.1963 | 63.1963 | 2.8e-11 |
| 2020-02-24 | 64.2886 | 64.2886 | 2.8e-11 |
| 2020-02-25 | 65.3723 | 65.3723 | 2.7e-11 |
| 2020-02-26 | 66.4467 | 66.4467 | 2.6e-11 |
| 2020-02-27 | 67.5109 | 67.5109 | 2.6e-11 |
| 2020-02-28 | 68.5644 | 68.5644 | 2.5e-11 |
| 2020-02-29 | 69.6064 | 69.6064 | 2.4e-11 |
| 2020-03-01 | 70.6362 | 70.6362 | 2.3e-11 |
| 2020-03-02 | 71.6533 | 71.6533 | 2.2e-11 |
| 2020-03-03 | 72.6571 | 72.6571 | 2.2e-11 |
| 2020-03-04 | 73.6472 | 73.6472 | 2.1e-11 |
| 2020-03-05 | 74.6229 | 74.6229 | 2.0e-11 |
| 2020-03-06 | 75.5839 | 75.5839 | 1.9e-11 |
| 2020-03-07 | 76.5298 | 76.5298 | 1.9e-11 |
| 2020-03-08 | 77.4602 | 77.4602 | 1.8e-11 |
| 2020-03-09 | 78.3748 | 78.3748 | 1.7e-11 |
| 2020-03-10 | 79.2734 | 79.2734 | 1.7e-11 |
| 2020-03-11 | 80.1556 | 80.1556 | 1.6e-11 |
| 2020-03-12 | 81.0213 | 81.0213 | 1.5e-11 |
| 2020-03-13 | 81.8704 | 81.8704 | 1.4e-11 |
| 2020-03-14 | 82.7027 | 82.7027 | 1.4e-11 |
| 2020-03-15 | 83.5180 | 83.5180 | 1.3e-11 |
| 2020-03-16 | 84.3165 | 84.3165 | 1.3e-11 |
| 2020-03-17 | 85.0979 | 85.0979 | 1.2e-11 |
| 2020-03-18 | 85.8624 | 85.8624 | 1.1e-11 |
| 2020-03-19 | 86.6099 | 86.6099 | 1.1e-11 |
| 2020-03-20 | 87.3406 | 87.3406 | 1.0e-11 |
| 2020-03-21 | 88.0545 | 88.0545 | 9.6e-12 |
| 2020-03-22 | 88.7517 | 88.7517 | 9.1e-12 |
| 2020-03-23 | 89.4324 | 89.4324 | 8.5e-12 |
| 2020-03-24 | 90.0967 | 90.0967 | 8.0e-12 |
| 2020-03-25 | 90.7448 | 90.7448 | 7.5e-12 |
| 2020-03-26 | 91.3768 | 91.3768 | 7.1e-12 |
| 2020-03-27 | 91.9931 | 91.9931 | 6.6e-12 |
| 2020-03-28 | 92.5938 | 92.5938 | 6.2e-12 |
| 2020-03-29 | 93.1791 | 93.1791 | 5.8e-12 |
| 2020-03-30 | 93.7493 | 93.7493 | 5.4e-12 |
| 2020-03-31 | 94.3047 | 94.3047 | 5.0e-12 |
| 2020-04-01 | 94.8456 | 94.8456 | 4.6e-12 |
| 2020-04-02 | 95.3721 | 95.3721 | 4.3e-12 |
| 2020-04-03 | 95.8847 | 95.8847 | 4.0e-12 |
| 2020-04-04 | 96.3835 | 96.3835 | 3.6e-12 |
| 2020-04-05 | 96.8690 | 96.8690 | 3.4e-12 |
| 2020-04-06 | 97.3413 | 97.3413 | 3.1e-12 |
| 2020-04-07 | 97.8008 | 97.8008 | 2.8e-12 |
| 2020-04-08 | 98.2479 | 98.2479 | 2.5e-12 |
| 2020-04-09 | 98.6827 | 98.6827 | 2.3e-12 |
| 2020-04-10 | 99.1056 | 99.1056 | 2.1e-12 |
| 2020-04-11 | 99.5170 | 99.5170 | 1.9e-12 |
| 2020-04-12 | 99.9171 | 99.9171 | 1.6e-12 |
| 2020-04-13 | 100.3062 | 100.3062 | 1.4e-12 |
| 2020-04-14 | 100.6847 | 100.6847 | 1.3e-12 |
| 2020-04-15 | 103.0261 | 103.0261 | 5.8e-12 |
| 2020-04-16 | 103.3002 | 103.3002 | 4.5e-13 |
| 2020-04-17 | 103.7502 | 103.7502 | 2.7e-12 |
| 2020-04-18 | 102.0977 | 102.0977 | 6.3e-13 |
| 2020-04-19 | 102.4273 | 102.4273 | 5.0e-13 |
| 2020-04-20 | 102.7479 | 102.7479 | 3.6e-13 |
| 2020-04-21 | 103.0598 | 103.0598 | 2.4e-13 |
| 2020-04-22 | 103.3634 | 103.3634 | 1.3e-13 |
| 2020-04-23 | 103.6588 | 103.6588 | 1.4e-14 |
| 2020-04-24 | 103.9464 | 103.9464 | 5.7e-14 |
| 2020-04-25 | 104.2264 | 104.2264 | 1.1e-13 |
| 2020-04-26 | 104.4990 | 104.4990 | 2.4e-13 |
| 2020-04-27 | 104.7645 | 104.7645 | 3.1e-13 |
| 2020-04-28 | 105.0231 | 105.0231 | 3.8e-13 |
| 2020-04-29 | 105.2751 | 105.2751 | 4.4e-13 |
Timing
Median of all measured repetitions.
| Step | Effect Prophet | Python Prophet | Effect Prophet is |
|---|---|---|---|
| Fit | 9.09 ms | 17.9 ms | 2.0× faster |
| Predict | 925 µs | 4.20 ms | 4.5× faster |
| Save model to JSON | 22 µs | 656 µs | 30× faster |
| Load model from JSON | 150 µs | 3.45 ms | 23× faster |
| Load and predict in a new process | 158 ms | 1.49 s | 9.4× faster |
Settings
The case declaration both libraries ran.
json
{
"kind": "map",
"comparison": {
"kind": "equivalent-objective",
"evidenceId": "logistic-python-reconciliation-v1"
},
"configuration": {
"growth": "logistic",
"scaling": "absmax",
"seasonalityMode": "additive",
"holidaysMode": "additive",
"changepoints": {
"mode": "explicit",
"timestamps": [
"2020-02-08T00:00:00.000Z"
]
},
"changepointPriorScale": 0.05,
"seasonalities": [],
"events": [
{
"name": "campaign",
"date": "2020-01-22",
"lowerWindowDays": -1,
"upperWindowDays": 1,
"priorScale": 10
},
{
"name": "campaign",
"date": "2020-04-16",
"lowerWindowDays": -1,
"upperWindowDays": 1,
"priorScale": 10
}
],
"regressors": []
},
"pythonOptimizer": {
"algorithm": "Auto",
"maxIterations": 10000,
"newtonFallback": true,
"sigFigs": 12
}
}