Values outside the bounds
match ← All logistic growth benchmarksNoisy targets that go below zero and above the ceiling.
Input
benchmark/inputs/v2/logistic-out-of-bounds-96.json: 96 history rows and 120 forecast rows.
Output
Largest difference: 4.3e-8 (< 0.0001% of the input's range).
Every forecast row from both libraries.
| Date | Effect Prophet | Python Prophet | Difference |
|---|---|---|---|
| 2020-01-01 | 12.7277 | 12.7277 | 3.8e-8 |
| 2020-01-02 | 13.2447 | 13.2447 | 3.9e-8 |
| 2020-01-03 | 13.7794 | 13.7794 | 3.9e-8 |
| 2020-01-04 | 14.3324 | 14.3324 | 3.9e-8 |
| 2020-01-05 | 14.9038 | 14.9038 | 4.0e-8 |
| 2020-01-06 | 15.4941 | 15.4941 | 4.0e-8 |
| 2020-01-07 | 16.1035 | 16.1035 | 4.0e-8 |
| 2020-01-08 | 16.7324 | 16.7324 | 4.0e-8 |
| 2020-01-09 | 17.3809 | 17.3809 | 4.0e-8 |
| 2020-01-10 | 18.0494 | 18.0494 | 4.0e-8 |
| 2020-01-11 | 18.7381 | 18.7381 | 4.0e-8 |
| 2020-01-12 | 19.4470 | 19.4470 | 4.0e-8 |
| 2020-01-13 | 20.1765 | 20.1765 | 4.0e-8 |
| 2020-01-14 | 20.9267 | 20.9267 | 3.9e-8 |
| 2020-01-15 | 21.6975 | 21.6975 | 3.9e-8 |
| 2020-01-16 | 22.4891 | 22.4891 | 3.9e-8 |
| 2020-01-17 | 23.3014 | 23.3014 | 3.8e-8 |
| 2020-01-18 | 24.1345 | 24.1345 | 3.8e-8 |
| 2020-01-19 | 24.9883 | 24.9883 | 3.7e-8 |
| 2020-01-20 | 25.8626 | 25.8626 | 3.6e-8 |
| 2020-01-21 | 26.7572 | 26.7572 | 3.5e-8 |
| 2020-01-22 | 27.6720 | 27.6720 | 3.4e-8 |
| 2020-01-23 | 28.6067 | 28.6067 | 3.3e-8 |
| 2020-01-24 | 29.5608 | 29.5608 | 3.2e-8 |
| 2020-01-25 | 30.5342 | 30.5342 | 3.1e-8 |
| 2020-01-26 | 31.5263 | 31.5263 | 3.0e-8 |
| 2020-01-27 | 32.5366 | 32.5366 | 2.9e-8 |
| 2020-01-28 | 33.5646 | 33.5646 | 2.7e-8 |
| 2020-01-29 | 34.6098 | 34.6098 | 2.6e-8 |
| 2020-01-30 | 35.6714 | 35.6714 | 2.4e-8 |
| 2020-01-31 | 36.7488 | 36.7488 | 2.3e-8 |
| 2020-02-01 | 37.8411 | 37.8411 | 2.1e-8 |
| 2020-02-02 | 38.9477 | 38.9477 | 1.9e-8 |
| 2020-02-03 | 40.0677 | 40.0677 | 1.7e-8 |
| 2020-02-04 | 41.2001 | 41.2001 | 1.5e-8 |
| 2020-02-05 | 42.3441 | 42.3441 | 1.4e-8 |
| 2020-02-06 | 43.4986 | 43.4986 | 1.2e-8 |
| 2020-02-07 | 44.6626 | 44.6626 | 9.5e-9 |
| 2020-02-08 | 45.8352 | 45.8352 | 7.5e-9 |
| 2020-02-09 | 47.0151 | 47.0151 | 5.5e-9 |
| 2020-02-10 | 48.2014 | 48.2014 | 3.5e-9 |
| 2020-02-11 | 49.3929 | 49.3929 | 1.5e-9 |
| 2020-02-12 | 50.5883 | 50.5883 | 5.7e-10 |
| 2020-02-13 | 51.7867 | 51.7867 | 2.6e-9 |
| 2020-02-14 | 52.9868 | 52.9868 | 4.7e-9 |
| 2020-02-15 | 54.1875 | 54.1875 | 6.7e-9 |
| 2020-02-16 | 55.3876 | 55.3876 | 8.7e-9 |
| 2020-02-17 | 56.5859 | 56.5859 | 1.1e-8 |
| 2020-02-18 | 57.7813 | 57.7813 | 1.3e-8 |
| 2020-02-19 | 58.9726 | 58.9726 | 1.5e-8 |
| 2020-02-20 | 60.1588 | 60.1588 | 1.7e-8 |
| 2020-02-21 | 61.3387 | 61.3387 | 1.8e-8 |
| 2020-02-22 | 62.5114 | 62.5114 | 2.0e-8 |
| 2020-02-23 | 63.6757 | 63.6757 | 2.2e-8 |
| 2020-02-24 | 64.8306 | 64.8306 | 2.4e-8 |
| 2020-02-25 | 65.9753 | 65.9753 | 2.5e-8 |
| 2020-02-26 | 67.1088 | 67.1088 | 2.7e-8 |
| 2020-02-27 | 68.2301 | 68.2301 | 2.9e-8 |
| 2020-02-28 | 69.3386 | 69.3386 | 3.0e-8 |
| 2020-02-29 | 70.4334 | 70.4334 | 3.1e-8 |
| 2020-03-01 | 71.5138 | 71.5138 | 3.3e-8 |
| 2020-03-02 | 72.5790 | 72.5790 | 3.4e-8 |
| 2020-03-03 | 73.6286 | 73.6286 | 3.5e-8 |
| 2020-03-04 | 74.6619 | 74.6619 | 3.6e-8 |
| 2020-03-05 | 75.6783 | 75.6783 | 3.7e-8 |
| 2020-03-06 | 76.6774 | 76.6774 | 3.8e-8 |
| 2020-03-07 | 77.6589 | 77.6589 | 3.9e-8 |
| 2020-03-08 | 78.6223 | 78.6223 | 4.0e-8 |
| 2020-03-09 | 79.5672 | 79.5672 | 4.0e-8 |
| 2020-03-10 | 80.4936 | 80.4936 | 4.1e-8 |
| 2020-03-11 | 81.4010 | 81.4010 | 4.2e-8 |
| 2020-03-12 | 82.2895 | 82.2895 | 4.2e-8 |
| 2020-03-13 | 83.1587 | 83.1587 | 4.2e-8 |
| 2020-03-14 | 84.0088 | 84.0088 | 4.3e-8 |
| 2020-03-15 | 84.8395 | 84.8395 | 4.3e-8 |
| 2020-03-16 | 85.6509 | 85.6509 | 4.3e-8 |
| 2020-03-17 | 86.4431 | 86.4431 | 4.3e-8 |
| 2020-03-18 | 87.2162 | 87.2162 | 4.3e-8 |
| 2020-03-19 | 87.9701 | 87.9701 | 4.3e-8 |
| 2020-03-20 | 88.7052 | 88.7052 | 4.3e-8 |
| 2020-03-21 | 89.4215 | 89.4215 | 4.3e-8 |
| 2020-03-22 | 90.1192 | 90.1192 | 4.3e-8 |
| 2020-03-23 | 90.7986 | 90.7986 | 4.3e-8 |
| 2020-03-24 | 91.4598 | 91.4599 | 4.2e-8 |
| 2020-03-25 | 92.1033 | 92.1033 | 4.2e-8 |
| 2020-03-26 | 92.7292 | 92.7292 | 4.2e-8 |
| 2020-03-27 | 93.3378 | 93.3378 | 4.1e-8 |
| 2020-03-28 | 93.9294 | 93.9294 | 4.1e-8 |
| 2020-03-29 | 94.5044 | 94.5044 | 4.0e-8 |
| 2020-03-30 | 95.0632 | 95.0632 | 4.0e-8 |
| 2020-03-31 | 95.6060 | 95.6060 | 3.9e-8 |
| 2020-04-01 | 96.1332 | 96.1332 | 3.9e-8 |
| 2020-04-02 | 96.6451 | 96.6451 | 3.8e-8 |
| 2020-04-03 | 97.1422 | 97.1422 | 3.8e-8 |
| 2020-04-04 | 97.6248 | 97.6248 | 3.7e-8 |
| 2020-04-05 | 98.0932 | 98.0932 | 3.6e-8 |
| 2020-04-06 | 98.5479 | 98.5479 | 3.6e-8 |
| 2020-04-07 | 98.9892 | 98.9892 | 3.5e-8 |
| 2020-04-08 | 99.4174 | 99.4174 | 3.4e-8 |
| 2020-04-09 | 99.8330 | 99.8330 | 3.4e-8 |
| 2020-04-10 | 100.2363 | 100.2363 | 3.3e-8 |
| 2020-04-11 | 100.6277 | 100.6277 | 3.2e-8 |
| 2020-04-12 | 101.0076 | 101.0076 | 3.2e-8 |
| 2020-04-13 | 101.3762 | 101.3762 | 3.1e-8 |
| 2020-04-14 | 101.7340 | 101.7340 | 3.0e-8 |
| 2020-04-15 | 102.0812 | 102.0812 | 3.0e-8 |
| 2020-04-16 | 102.4183 | 102.4183 | 2.9e-8 |
| 2020-04-17 | 102.7456 | 102.7456 | 2.8e-8 |
| 2020-04-18 | 103.0633 | 103.0633 | 2.8e-8 |
| 2020-04-19 | 103.3718 | 103.3718 | 2.7e-8 |
| 2020-04-20 | 103.6715 | 103.6715 | 2.6e-8 |
| 2020-04-21 | 103.9626 | 103.9626 | 2.6e-8 |
| 2020-04-22 | 104.2454 | 104.2454 | 2.5e-8 |
| 2020-04-23 | 104.5202 | 104.5202 | 2.4e-8 |
| 2020-04-24 | 104.7873 | 104.7873 | 2.4e-8 |
| 2020-04-25 | 105.0470 | 105.0470 | 2.3e-8 |
| 2020-04-26 | 105.2995 | 105.2995 | 2.2e-8 |
| 2020-04-27 | 105.5452 | 105.5452 | 2.2e-8 |
| 2020-04-28 | 105.7842 | 105.7842 | 2.1e-8 |
| 2020-04-29 | 106.0168 | 106.0168 | 2.1e-8 |
Timing
Median of all measured repetitions.
| Step | Effect Prophet | Python Prophet | Effect Prophet is |
|---|---|---|---|
| Fit | 9.04 ms | 16.6 ms | 1.8× faster |
| Predict | 799 µs | 3.01 ms | 3.8× faster |
| Save model to JSON | 30 µs | 470 µs | 16× faster |
| Load model from JSON | 149 µs | 2.26 ms | 15× faster |
| Load and predict in a new process | 156 ms | 1.46 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": [],
"regressors": []
},
"pythonOptimizer": {
"algorithm": "Auto",
"maxIterations": 10000,
"newtonFallback": true,
"sigFigs": 12
}
}