Repeated dates
match ← All logistic growth benchmarks96 rows over 48 dates, each appearing twice with different values. Every row counts as its own measurement.
Input
benchmark/inputs/v2/logistic-duplicates-96.json: 96 history rows and 120 forecast rows.
Output
Largest difference: 2.6e-11 (< 0.0001% of the input's range).
Every forecast row from both libraries.
| Date | Effect Prophet | Python Prophet | Difference |
|---|---|---|---|
| 2020-01-01 | 14.1880 | 14.1880 | 2.4e-11 |
| 2020-01-01 | 14.1880 | 14.1880 | 2.4e-11 |
| 2020-01-02 | 15.2680 | 15.2680 | 2.5e-11 |
| 2020-01-02 | 15.2680 | 15.2680 | 2.5e-11 |
| 2020-01-03 | 16.4149 | 16.4149 | 2.5e-11 |
| 2020-01-03 | 16.4149 | 16.4149 | 2.5e-11 |
| 2020-01-04 | 17.6304 | 17.6304 | 2.5e-11 |
| 2020-01-04 | 17.6304 | 17.6304 | 2.5e-11 |
| 2020-01-05 | 18.9161 | 18.9161 | 2.6e-11 |
| 2020-01-05 | 18.9161 | 18.9161 | 2.6e-11 |
| 2020-01-06 | 20.2730 | 20.2730 | 2.6e-11 |
| 2020-01-06 | 20.2730 | 20.2730 | 2.6e-11 |
| 2020-01-07 | 21.7020 | 21.7020 | 2.6e-11 |
| 2020-01-07 | 21.7020 | 21.7020 | 2.6e-11 |
| 2020-01-08 | 23.2031 | 23.2031 | 2.5e-11 |
| 2020-01-08 | 23.2031 | 23.2031 | 2.5e-11 |
| 2020-01-09 | 24.7762 | 24.7762 | 2.5e-11 |
| 2020-01-09 | 24.7762 | 24.7762 | 2.5e-11 |
| 2020-01-10 | 26.4205 | 26.4205 | 2.4e-11 |
| 2020-01-10 | 26.4205 | 26.4205 | 2.4e-11 |
| 2020-01-11 | 28.1344 | 28.1344 | 2.4e-11 |
| 2020-01-11 | 28.1344 | 28.1344 | 2.4e-11 |
| 2020-01-12 | 29.9159 | 29.9159 | 2.3e-11 |
| 2020-01-12 | 29.9159 | 29.9159 | 2.3e-11 |
| 2020-01-13 | 31.7621 | 31.7621 | 2.2e-11 |
| 2020-01-13 | 31.7621 | 31.7621 | 2.2e-11 |
| 2020-01-14 | 33.6696 | 33.6696 | 2.0e-11 |
| 2020-01-14 | 33.6696 | 33.6696 | 2.0e-11 |
| 2020-01-15 | 35.6344 | 35.6344 | 1.9e-11 |
| 2020-01-15 | 35.6344 | 35.6344 | 1.9e-11 |
| 2020-01-16 | 37.6515 | 37.6515 | 1.7e-11 |
| 2020-01-16 | 37.6515 | 37.6515 | 1.7e-11 |
| 2020-01-17 | 39.7156 | 39.7156 | 1.6e-11 |
| 2020-01-17 | 39.7156 | 39.7156 | 1.6e-11 |
| 2020-01-18 | 41.8205 | 41.8205 | 1.4e-11 |
| 2020-01-18 | 41.8205 | 41.8205 | 1.4e-11 |
| 2020-01-19 | 43.9598 | 43.9598 | 1.2e-11 |
| 2020-01-19 | 43.9598 | 43.9598 | 1.2e-11 |
| 2020-01-20 | 46.1265 | 46.1265 | 1.0e-11 |
| 2020-01-20 | 46.1265 | 46.1265 | 1.0e-11 |
| 2020-01-21 | 48.3139 | 48.3139 | 7.9e-12 |
| 2020-01-21 | 48.3139 | 48.3139 | 7.9e-12 |
| 2020-01-22 | 50.5137 | 50.5137 | 5.8e-12 |
| 2020-01-22 | 50.5137 | 50.5137 | 5.8e-12 |
| 2020-01-23 | 52.7181 | 52.7181 | 3.7e-12 |
| 2020-01-23 | 52.7181 | 52.7181 | 3.7e-12 |
| 2020-01-24 | 54.9193 | 54.9193 | 1.5e-12 |
| 2020-01-24 | 54.9193 | 54.9193 | 1.5e-12 |
| 2020-01-25 | 57.1094 | 57.1094 | 6.5e-13 |
| 2020-01-25 | 57.1094 | 57.1094 | 6.5e-13 |
| 2020-01-26 | 59.2810 | 59.2810 | 2.7e-12 |
| 2020-01-26 | 59.2810 | 59.2810 | 2.7e-12 |
| 2020-01-27 | 61.4267 | 61.4267 | 4.8e-12 |
| 2020-01-27 | 61.4267 | 61.4267 | 4.8e-12 |
| 2020-01-28 | 63.5396 | 63.5396 | 6.7e-12 |
| 2020-01-28 | 63.5396 | 63.5396 | 6.7e-12 |
| 2020-01-29 | 65.6133 | 65.6133 | 8.6e-12 |
| 2020-01-29 | 65.6133 | 65.6133 | 8.6e-12 |
| 2020-01-30 | 67.6420 | 67.6420 | 1.0e-11 |
| 2020-01-30 | 67.6420 | 67.6420 | 1.0e-11 |
| 2020-01-31 | 69.6202 | 69.6202 | 1.2e-11 |
| 2020-01-31 | 69.6202 | 69.6202 | 1.2e-11 |
| 2020-02-01 | 71.5433 | 71.5433 | 1.3e-11 |
| 2020-02-01 | 71.5433 | 71.5433 | 1.3e-11 |
| 2020-02-02 | 73.4074 | 73.4074 | 1.5e-11 |
| 2020-02-02 | 73.4074 | 73.4074 | 1.5e-11 |
| 2020-02-03 | 75.2091 | 75.2091 | 1.6e-11 |
| 2020-02-03 | 75.2091 | 75.2091 | 1.6e-11 |
| 2020-02-04 | 76.9457 | 76.9457 | 1.7e-11 |
| 2020-02-04 | 76.9457 | 76.9457 | 1.7e-11 |
| 2020-02-05 | 78.6152 | 78.6152 | 1.8e-11 |
| 2020-02-05 | 78.6152 | 78.6152 | 1.8e-11 |
| 2020-02-06 | 80.2163 | 80.2163 | 1.8e-11 |
| 2020-02-06 | 80.2163 | 80.2163 | 1.8e-11 |
| 2020-02-07 | 81.7481 | 81.7481 | 1.9e-11 |
| 2020-02-07 | 81.7481 | 81.7481 | 1.9e-11 |
| 2020-02-08 | 83.2104 | 83.2104 | 1.9e-11 |
| 2020-02-08 | 83.2104 | 83.2104 | 1.9e-11 |
| 2020-02-09 | 84.6036 | 84.6036 | 2.0e-11 |
| 2020-02-09 | 84.6036 | 84.6036 | 2.0e-11 |
| 2020-02-10 | 85.9282 | 85.9282 | 2.0e-11 |
| 2020-02-10 | 85.9282 | 85.9282 | 2.0e-11 |
| 2020-02-11 | 87.1855 | 87.1855 | 2.0e-11 |
| 2020-02-11 | 87.1855 | 87.1855 | 2.0e-11 |
| 2020-02-12 | 88.3768 | 88.3768 | 2.0e-11 |
| 2020-02-12 | 88.3768 | 88.3768 | 2.0e-11 |
| 2020-02-13 | 89.5039 | 89.5039 | 2.0e-11 |
| 2020-02-13 | 89.5039 | 89.5039 | 2.0e-11 |
| 2020-02-14 | 90.5687 | 90.5687 | 2.0e-11 |
| 2020-02-14 | 90.5687 | 90.5687 | 2.0e-11 |
| 2020-02-15 | 91.5736 | 91.5736 | 1.9e-11 |
| 2020-02-15 | 91.5736 | 91.5736 | 1.9e-11 |
| 2020-02-16 | 92.5207 | 92.5207 | 1.9e-11 |
| 2020-02-16 | 92.5207 | 92.5207 | 1.9e-11 |
| 2020-02-17 | 93.4125 | 93.4125 | 1.8e-11 |
| 2020-02-17 | 93.4125 | 93.4125 | 1.8e-11 |
| 2020-02-18 | 94.2514 | 94.2514 | 1.8e-11 |
| 2020-02-19 | 94.9670 | 94.9670 | 1.7e-11 |
| 2020-02-20 | 95.7075 | 95.7075 | 1.7e-11 |
| 2020-02-21 | 96.3286 | 96.3286 | 1.6e-11 |
| 2020-02-22 | 96.9809 | 96.9809 | 1.6e-11 |
| 2020-02-23 | 97.5179 | 97.5179 | 1.5e-11 |
| 2020-02-24 | 98.0918 | 98.0918 | 1.4e-11 |
| 2020-02-25 | 98.5545 | 98.5545 | 1.4e-11 |
| 2020-02-26 | 99.0594 | 99.0594 | 1.3e-11 |
| 2020-02-27 | 99.4568 | 99.4568 | 1.3e-11 |
| 2020-02-28 | 99.9012 | 99.9012 | 1.2e-11 |
| 2020-02-29 | 100.2417 | 100.2417 | 1.2e-11 |
| 2020-03-01 | 100.6336 | 100.6336 | 1.1e-11 |
| 2020-03-02 | 100.9246 | 100.9246 | 1.0e-11 |
| 2020-03-03 | 101.2709 | 101.2709 | 9.8e-12 |
| 2020-03-04 | 101.5192 | 101.5192 | 9.4e-12 |
| 2020-03-05 | 101.8263 | 101.8263 | 8.8e-12 |
| 2020-03-06 | 102.0378 | 102.0378 | 8.4e-12 |
| 2020-03-07 | 102.3110 | 102.3110 | 7.9e-12 |
| 2020-03-08 | 102.4909 | 102.4909 | 7.5e-12 |
| 2020-03-09 | 102.7352 | 102.7352 | 7.0e-12 |
| 2020-03-10 | 102.8880 | 102.8880 | 6.6e-12 |
| 2020-03-11 | 103.1076 | 103.1076 | 6.3e-12 |
| 2020-03-12 | 103.2373 | 103.2373 | 5.8e-12 |
Timing
Median of all measured repetitions.
| Step | Effect Prophet | Python Prophet | Effect Prophet is |
|---|---|---|---|
| Fit | 6.01 ms | 16.7 ms | 2.8× faster |
| Predict | 688 µs | 4.14 ms | 6.0× faster |
| Save model to JSON | 26 µs | 475 µs | 18× faster |
| Load model from JSON | 149 µs | 2.41 ms | 16× faster |
| Load and predict in a new process | 155 ms | 1.59 s | 10× 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": [
"2020-01-20T00:00:00.000Z"
]
},
"changepointPriorScale": 0.05,
"seasonalities": [],
"events": [],
"regressors": []
},
"pythonOptimizer": {
"algorithm": "Auto",
"maxIterations": 10000,
"newtonFallback": true,
"sigFigs": 12
}
}