Defaults, ranges with a weekly pattern
match ← All flat growth benchmarks80% ranges from 1,000 simulated paths on every past and future date. A flat trend never changes, so the ranges come from noise alone.
Input
benchmark/inputs/v1/flat-seasonal.json: 96 history rows and 24 forecast rows.
Output
Largest difference: 1.1e-10 (< 0.0001% of the input's range).
Every forecast row from both libraries.
| Date | Effect Prophet | Python Prophet | Difference |
|---|---|---|---|
| 2020-01-01 | 35.0025 | 35.0025 | 1.0e-12 |
| 2020-01-02 | 36.0968 | 36.0968 | 8.4e-11 |
| 2020-01-03 | 36.3663 | 36.3663 | 1.1e-10 |
| 2020-01-04 | 35.6079 | 35.6079 | 4.8e-11 |
| 2020-01-05 | 34.3921 | 34.3921 | 4.7e-11 |
| 2020-01-06 | 33.6334 | 33.6334 | 1.0e-10 |
| 2020-01-07 | 33.9115 | 33.9115 | 8.2e-11 |
| 2020-01-08 | 35.0025 | 35.0025 | 1.0e-12 |
| 2020-01-09 | 36.0968 | 36.0968 | 8.4e-11 |
| 2020-01-10 | 36.3663 | 36.3663 | 1.1e-10 |
| 2020-01-11 | 35.6079 | 35.6079 | 4.8e-11 |
| 2020-01-12 | 34.3921 | 34.3921 | 4.7e-11 |
| 2020-01-13 | 33.6334 | 33.6334 | 1.0e-10 |
| 2020-01-14 | 33.9115 | 33.9115 | 8.2e-11 |
| 2020-01-15 | 35.0025 | 35.0025 | 1.0e-12 |
| 2020-01-16 | 36.0968 | 36.0968 | 8.4e-11 |
| 2020-01-17 | 36.3663 | 36.3663 | 1.1e-10 |
| 2020-01-18 | 35.6079 | 35.6079 | 4.8e-11 |
| 2020-01-19 | 34.3921 | 34.3921 | 4.7e-11 |
| 2020-01-20 | 33.6334 | 33.6334 | 1.0e-10 |
| 2020-01-21 | 33.9115 | 33.9115 | 8.2e-11 |
| 2020-01-22 | 35.0025 | 35.0025 | 1.0e-12 |
| 2020-01-23 | 36.0968 | 36.0968 | 8.4e-11 |
| 2020-01-24 | 36.3663 | 36.3663 | 1.1e-10 |
| 2020-01-25 | 35.6079 | 35.6079 | 4.8e-11 |
| 2020-01-26 | 34.3921 | 34.3921 | 4.7e-11 |
| 2020-01-27 | 33.6334 | 33.6334 | 1.0e-10 |
| 2020-01-28 | 33.9115 | 33.9115 | 8.2e-11 |
| 2020-01-29 | 35.0025 | 35.0025 | 1.0e-12 |
| 2020-01-30 | 36.0968 | 36.0968 | 8.4e-11 |
| 2020-01-31 | 36.3663 | 36.3663 | 1.1e-10 |
| 2020-02-01 | 35.6079 | 35.6079 | 4.8e-11 |
| 2020-02-02 | 34.3921 | 34.3921 | 4.7e-11 |
| 2020-02-03 | 33.6334 | 33.6334 | 1.0e-10 |
| 2020-02-04 | 33.9115 | 33.9115 | 8.2e-11 |
| 2020-02-05 | 35.0025 | 35.0025 | 1.0e-12 |
| 2020-02-06 | 36.0968 | 36.0968 | 8.4e-11 |
| 2020-02-07 | 36.3663 | 36.3663 | 1.1e-10 |
| 2020-02-08 | 35.6079 | 35.6079 | 4.8e-11 |
| 2020-02-09 | 34.3921 | 34.3921 | 4.7e-11 |
| 2020-02-10 | 33.6334 | 33.6334 | 1.0e-10 |
| 2020-02-11 | 33.9115 | 33.9115 | 8.2e-11 |
| 2020-02-12 | 35.0025 | 35.0025 | 1.0e-12 |
| 2020-02-13 | 36.0968 | 36.0968 | 8.4e-11 |
| 2020-02-14 | 36.3663 | 36.3663 | 1.1e-10 |
| 2020-02-15 | 35.6079 | 35.6079 | 4.8e-11 |
| 2020-02-16 | 34.3921 | 34.3921 | 4.7e-11 |
| 2020-02-17 | 33.6334 | 33.6334 | 1.0e-10 |
| 2020-02-18 | 33.9115 | 33.9115 | 8.2e-11 |
| 2020-02-19 | 35.0025 | 35.0025 | 1.0e-12 |
| 2020-02-20 | 36.0968 | 36.0968 | 8.4e-11 |
| 2020-02-21 | 36.3663 | 36.3663 | 1.1e-10 |
| 2020-02-22 | 35.6079 | 35.6079 | 4.8e-11 |
| 2020-02-23 | 34.3921 | 34.3921 | 4.7e-11 |
| 2020-02-24 | 33.6334 | 33.6334 | 1.0e-10 |
| 2020-02-25 | 33.9115 | 33.9115 | 8.2e-11 |
| 2020-02-26 | 35.0025 | 35.0025 | 1.0e-12 |
| 2020-02-27 | 36.0968 | 36.0968 | 8.4e-11 |
| 2020-02-28 | 36.3663 | 36.3663 | 1.1e-10 |
| 2020-02-29 | 35.6079 | 35.6079 | 4.8e-11 |
| 2020-03-01 | 34.3921 | 34.3921 | 4.7e-11 |
| 2020-03-02 | 33.6334 | 33.6334 | 1.0e-10 |
| 2020-03-03 | 33.9115 | 33.9115 | 8.2e-11 |
| 2020-03-04 | 35.0025 | 35.0025 | 1.0e-12 |
| 2020-03-05 | 36.0968 | 36.0968 | 8.4e-11 |
| 2020-03-06 | 36.3663 | 36.3663 | 1.1e-10 |
| 2020-03-07 | 35.6079 | 35.6079 | 4.8e-11 |
| 2020-03-08 | 34.3921 | 34.3921 | 4.7e-11 |
| 2020-03-09 | 33.6334 | 33.6334 | 1.0e-10 |
| 2020-03-10 | 33.9115 | 33.9115 | 8.2e-11 |
| 2020-03-11 | 35.0025 | 35.0025 | 1.0e-12 |
| 2020-03-12 | 36.0968 | 36.0968 | 8.4e-11 |
| 2020-03-13 | 36.3663 | 36.3663 | 1.1e-10 |
| 2020-03-14 | 35.6079 | 35.6079 | 4.8e-11 |
| 2020-03-15 | 34.3921 | 34.3921 | 4.7e-11 |
| 2020-03-16 | 33.6334 | 33.6334 | 1.0e-10 |
| 2020-03-17 | 33.9115 | 33.9115 | 8.2e-11 |
| 2020-03-18 | 35.0025 | 35.0025 | 1.0e-12 |
| 2020-03-19 | 36.0968 | 36.0968 | 8.4e-11 |
| 2020-03-20 | 36.3663 | 36.3663 | 1.1e-10 |
| 2020-03-21 | 35.6079 | 35.6079 | 4.8e-11 |
| 2020-03-22 | 34.3921 | 34.3921 | 4.7e-11 |
| 2020-03-23 | 33.6334 | 33.6334 | 1.0e-10 |
| 2020-03-24 | 33.9115 | 33.9115 | 8.2e-11 |
| 2020-03-25 | 35.0025 | 35.0025 | 1.0e-12 |
| 2020-03-26 | 36.0968 | 36.0968 | 8.4e-11 |
| 2020-03-27 | 36.3663 | 36.3663 | 1.1e-10 |
| 2020-03-28 | 35.6079 | 35.6079 | 4.8e-11 |
| 2020-03-29 | 34.3921 | 34.3921 | 4.7e-11 |
| 2020-03-30 | 33.6334 | 33.6334 | 1.0e-10 |
| 2020-03-31 | 33.9115 | 33.9115 | 8.2e-11 |
| 2020-04-01 | 35.0025 | 35.0025 | 1.0e-12 |
| 2020-04-02 | 36.0968 | 36.0968 | 8.4e-11 |
| 2020-04-03 | 36.3663 | 36.3663 | 1.1e-10 |
| 2020-04-04 | 35.6079 | 35.6079 | 4.8e-11 |
| 2020-04-05 | 34.3921 | 34.3921 | 4.7e-11 |
| 2020-04-06 | 33.6334 | 33.6334 | 1.0e-10 |
| 2020-04-07 | 33.9115 | 33.9115 | 8.2e-11 |
| 2020-04-08 | 35.0025 | 35.0025 | 1.0e-12 |
| 2020-04-09 | 36.0968 | 36.0968 | 8.4e-11 |
| 2020-04-10 | 36.3663 | 36.3663 | 1.1e-10 |
| 2020-04-11 | 35.6079 | 35.6079 | 4.8e-11 |
| 2020-04-12 | 34.3921 | 34.3921 | 4.7e-11 |
| 2020-04-13 | 33.6334 | 33.6334 | 1.0e-10 |
| 2020-04-14 | 33.9115 | 33.9115 | 8.2e-11 |
| 2020-04-15 | 35.0025 | 35.0025 | 1.0e-12 |
| 2020-04-16 | 36.0968 | 36.0968 | 8.4e-11 |
| 2020-04-17 | 36.3663 | 36.3663 | 1.1e-10 |
| 2020-04-18 | 35.6079 | 35.6079 | 4.8e-11 |
| 2020-04-19 | 34.3921 | 34.3921 | 4.7e-11 |
| 2020-04-20 | 33.6334 | 33.6334 | 1.0e-10 |
| 2020-04-21 | 33.9115 | 33.9115 | 8.2e-11 |
| 2020-04-22 | 35.0025 | 35.0025 | 1.0e-12 |
| 2020-04-23 | 36.0968 | 36.0968 | 8.4e-11 |
| 2020-04-24 | 36.3663 | 36.3663 | 1.1e-10 |
| 2020-04-25 | 35.6079 | 35.6079 | 4.8e-11 |
| 2020-04-26 | 34.3921 | 34.3921 | 4.7e-11 |
| 2020-04-27 | 33.6334 | 33.6334 | 1.0e-10 |
| 2020-04-28 | 33.9115 | 33.9115 | 8.2e-11 |
| 2020-04-29 | 35.0025 | 35.0025 | 1.0e-12 |
Timing
Median of all measured repetitions.
| Step | Effect Prophet | Python Prophet | Effect Prophet is |
|---|---|---|---|
| Convert input rows | 28 µs | 513 µs | 18× faster |
| Save model to JSON | 22 µs | 455 µs | 21× faster |
| Load model from JSON | 171 µs | 2.13 ms | 12× faster |
| Simulate uncertainty | 4.48 ms | 125 ms | 28× faster |
| First simulation in a new process | 297 ms | 1.95 s | 6.6× faster |
| Load and simulate in a new process | 165 ms | 1.57 s | 9.5× faster |
Settings
The case declaration both libraries ran.
json
{
"kind": "map",
"comparison": {
"kind": "equivalent-objective",
"evidenceId": "flat-growth-reduced-v1"
},
"fitRequest": "growth-only",
"configuration": {
"growth": "flat",
"scaling": "absmax",
"seasonalityMode": "additive",
"holidaysMode": "additive",
"changepoints": {
"mode": "auto",
"count": 25,
"range": 0.8
},
"changepointPriorScale": 0.05,
"seasonalities": [
{
"name": "weekly",
"periodDays": 7,
"fourierOrder": 3,
"priorScale": 10
}
],
"events": [],
"regressors": []
},
"pythonOptimizer": {
"algorithm": "Auto",
"maxIterations": 10000,
"newtonFallback": true
},
"uncertainty": {
"seed": 19,
"samples": 1000,
"intervalWidth": 0.8,
"output": "intervals",
"algorithm": "scalar-continuous-time",
"evidence": "docs/validation/uncertainty.md#evidence-classes",
"samplerMemoryLimitBytes": 67108864
}
}