Defaults, ranges on irregular dates
match flagged ← All linear growth benchmarks80% ranges from 1,000 simulated paths on the unevenly spaced history and its 48 forecast dates.
Input
benchmark/inputs/v1/map-irregular-medium.json: 192 history rows and 48 forecast rows.
Output
Largest difference: 0.11 (0.15% of the input's range).
Every forecast row from both libraries.
| Date | Effect Prophet | Python Prophet | Difference |
|---|---|---|---|
| 2020-01-01 | 12.3830 | 12.3354 | 0.048 |
| 2020-01-02 | 12.8795 | 12.8371 | 0.042 |
| 2020-01-03 | 13.0457 | 13.0062 | 0.039 |
| 2020-01-04 | 13.5031 | 13.4685 | 0.035 |
| 2020-01-05 | 13.8371 | 13.8082 | 0.029 |
| 2020-01-06 | 14.1381 | 14.1030 | 0.035 |
| 2020-01-07 | 14.3399 | 14.3049 | 0.035 |
| 2020-01-09 | 15.3273 | 15.2970 | 0.030 |
| 2020-01-10 | 15.4934 | 15.4661 | 0.027 |
| 2020-01-11 | 15.9509 | 15.9284 | 0.023 |
| 2020-01-12 | 16.2848 | 16.2681 | 0.017 |
| 2020-01-13 | 16.5859 | 16.5629 | 0.023 |
| 2020-01-14 | 16.7876 | 16.7648 | 0.023 |
| 2020-01-15 | 17.2785 | 17.2552 | 0.023 |
| 2020-01-17 | 17.9411 | 17.9260 | 0.015 |
| 2020-01-18 | 18.3986 | 18.3883 | 0.010 |
| 2020-01-19 | 18.7326 | 18.7280 | 0.0046 |
| 2020-01-20 | 19.0336 | 19.0228 | 0.011 |
| 2020-01-21 | 19.2354 | 19.2247 | 0.011 |
| 2020-01-23 | 20.2228 | 20.2167 | 0.0061 |
| 2020-01-24 | 20.3889 | 20.3858 | 0.0031 |
| 2020-01-26 | 21.1803 | 21.1879 | 0.0075 |
| 2020-01-27 | 21.4814 | 21.4827 | 0.0013 |
| 2020-01-28 | 21.6831 | 21.6846 | 0.0015 |
| 2020-01-29 | 22.1740 | 22.1749 | 0.00098 |
| 2020-01-30 | 22.6705 | 22.6766 | 0.0061 |
| 2020-01-31 | 22.8366 | 22.8457 | 0.0091 |
| 2020-02-01 | 23.2941 | 23.3080 | 0.014 |
| 2020-02-03 | 23.9291 | 23.9426 | 0.013 |
| 2020-02-04 | 24.1309 | 24.1444 | 0.014 |
| 2020-02-05 | 24.6217 | 24.6348 | 0.013 |
| 2020-02-06 | 25.1183 | 25.1365 | 0.018 |
| 2020-02-07 | 25.2844 | 25.3056 | 0.021 |
| 2020-02-08 | 25.7419 | 25.7679 | 0.026 |
| 2020-02-09 | 26.0758 | 26.1076 | 0.032 |
| 2020-02-11 | 26.5786 | 26.6043 | 0.026 |
| 2020-02-12 | 27.0695 | 27.0947 | 0.025 |
| 2020-02-13 | 27.5660 | 27.5964 | 0.030 |
| 2020-02-15 | 28.1896 | 28.2278 | 0.038 |
| 2020-02-16 | 28.5236 | 28.5675 | 0.044 |
| 2020-02-17 | 28.8246 | 28.8623 | 0.038 |
| 2020-02-18 | 29.0264 | 29.0642 | 0.038 |
| 2020-02-20 | 30.0138 | 30.0562 | 0.042 |
| 2020-02-21 | 30.1799 | 30.2253 | 0.045 |
| 2020-02-22 | 30.6374 | 30.6877 | 0.050 |
| 2020-02-23 | 30.9713 | 31.0274 | 0.056 |
| 2020-02-24 | 31.2724 | 31.3222 | 0.050 |
| 2020-02-25 | 31.4741 | 31.5241 | 0.050 |
| 2020-02-26 | 31.9649 | 32.0144 | 0.049 |
| 2020-02-28 | 32.6276 | 32.6852 | 0.058 |
| 2020-02-29 | 33.0851 | 33.1475 | 0.062 |
| 2020-03-01 | 33.4191 | 33.4872 | 0.068 |
| 2020-03-02 | 33.7201 | 33.7821 | 0.062 |
| 2020-03-03 | 33.9218 | 33.9839 | 0.062 |
| 2020-03-04 | 34.4127 | 34.4743 | 0.062 |
| 2020-03-05 | 34.9093 | 34.9760 | 0.067 |
| 2020-03-07 | 35.5329 | 35.6074 | 0.075 |
| 2020-03-09 | 36.1679 | 36.2419 | 0.074 |
| 2020-03-10 | 36.3696 | 36.4438 | 0.074 |
| 2020-03-11 | 36.8604 | 36.9342 | 0.074 |
| 2020-03-12 | 37.3570 | 37.4359 | 0.079 |
| 2020-03-13 | 37.5231 | 37.6050 | 0.082 |
| 2020-03-14 | 37.9806 | 38.0555 | 0.075 |
| 2020-03-16 | 38.6155 | 38.6664 | 0.051 |
| 2020-03-17 | 38.8171 | 38.8565 | 0.039 |
| 2020-03-18 | 39.3079 | 39.3351 | 0.027 |
| 2020-03-19 | 39.8045 | 39.8249 | 0.020 |
| 2020-03-20 | 39.9705 | 39.9822 | 0.012 |
| 2020-03-21 | 40.3727 | 40.3778 | 0.0051 |
| 2020-03-22 | 40.6513 | 40.6507 | 0.00059 |
| 2020-03-24 | 41.0434 | 41.0138 | 0.030 |
| 2020-03-25 | 41.4789 | 41.4374 | 0.041 |
| 2020-03-26 | 41.9201 | 41.8723 | 0.048 |
| 2020-03-27 | 42.0309 | 41.9747 | 0.056 |
| 2020-03-28 | 42.3471 | 42.2935 | 0.054 |
| 2020-03-29 | 42.5398 | 42.4898 | 0.050 |
| 2020-03-31 | 42.7600 | 42.6997 | 0.060 |
| 2020-04-02 | 43.4649 | 43.4048 | 0.060 |
| 2020-04-03 | 43.4897 | 43.4305 | 0.059 |
| 2020-04-04 | 43.8060 | 43.7494 | 0.057 |
| 2020-04-05 | 43.9568 | 43.9047 | 0.052 |
| 2020-04-06 | 44.0748 | 44.0151 | 0.060 |
| 2020-04-07 | 44.0934 | 44.0326 | 0.061 |
| 2020-04-08 | 44.4012 | 44.3386 | 0.063 |
| 2020-04-10 | 44.6977 | 44.6405 | 0.057 |
| 2020-04-11 | 44.9721 | 44.9184 | 0.054 |
| 2020-04-12 | 45.1230 | 45.0736 | 0.049 |
| 2020-04-13 | 45.2409 | 45.1840 | 0.057 |
| 2020-04-14 | 45.2596 | 45.2014 | 0.058 |
| 2020-04-15 | 45.5673 | 45.5072 | 0.060 |
| 2020-04-16 | 45.8808 | 45.8244 | 0.056 |
| 2020-04-18 | 46.1383 | 46.0868 | 0.051 |
| 2020-04-19 | 46.2891 | 46.2420 | 0.047 |
| 2020-04-20 | 46.4071 | 46.3523 | 0.055 |
| 2020-04-21 | 46.4257 | 46.3697 | 0.056 |
| 2020-04-23 | 47.0470 | 46.9927 | 0.054 |
| 2020-04-24 | 47.0300 | 46.9773 | 0.053 |
| 2020-04-25 | 47.3044 | 47.2551 | 0.049 |
| 2020-04-27 | 47.5732 | 47.5205 | 0.053 |
| 2020-04-28 | 47.5919 | 47.5379 | 0.054 |
| 2020-04-29 | 47.8996 | 47.8438 | 0.056 |
| 2020-04-30 | 48.2131 | 48.1609 | 0.052 |
| 2020-05-01 | 48.1962 | 48.1455 | 0.051 |
| 2020-05-02 | 48.4706 | 48.4233 | 0.047 |
| 2020-05-03 | 48.6214 | 48.5785 | 0.043 |
| 2020-05-05 | 48.7580 | 48.7061 | 0.052 |
| 2020-05-06 | 49.0658 | 49.0120 | 0.054 |
| 2020-05-07 | 49.3793 | 49.3291 | 0.050 |
| 2020-05-08 | 49.3623 | 49.3137 | 0.049 |
| 2020-05-09 | 49.6367 | 49.5915 | 0.045 |
| 2020-05-10 | 49.7876 | 49.7467 | 0.041 |
| 2020-05-11 | 49.9056 | 49.8570 | 0.049 |
| 2020-05-13 | 50.2320 | 50.1802 | 0.052 |
| 2020-05-14 | 50.5455 | 50.4974 | 0.048 |
| 2020-05-16 | 50.8029 | 50.7597 | 0.043 |
| 2020-05-17 | 50.9538 | 50.9149 | 0.039 |
| 2020-05-18 | 51.0718 | 51.0252 | 0.047 |
| 2020-05-19 | 51.0904 | 51.0426 | 0.048 |
| 2020-05-20 | 51.3982 | 51.3484 | 0.050 |
| 2020-05-22 | 51.6948 | 51.6502 | 0.045 |
| 2020-05-23 | 51.9692 | 51.9280 | 0.041 |
| 2020-05-24 | 52.1201 | 52.0831 | 0.037 |
| 2020-05-25 | 52.2381 | 52.1934 | 0.045 |
| 2020-05-26 | 52.2628 | 52.2284 | 0.034 |
| 2020-05-27 | 52.5766 | 52.5518 | 0.025 |
| 2020-05-28 | 52.8961 | 52.8865 | 0.0096 |
| 2020-05-30 | 53.1656 | 53.1840 | 0.018 |
| 2020-05-31 | 53.3225 | 53.3567 | 0.034 |
| 2020-06-01 | 53.4465 | 53.4846 | 0.038 |
| 2020-06-02 | 53.5413 | 53.5866 | 0.045 |
| 2020-06-03 | 53.9251 | 53.9770 | 0.052 |
| 2020-06-04 | 54.3147 | 54.3787 | 0.064 |
| 2020-06-05 | 54.3738 | 54.4479 | 0.074 |
| 2020-06-08 | 55.1452 | 55.2450 | 0.10 |
| 2020-06-09 | 55.2399 | 55.3469 | 0.11 |
| 2020-06-10 | 55.7340 | 55.8340 | 0.10 |
| 2020-06-11 | 56.2338 | 56.3325 | 0.099 |
| 2020-06-12 | 56.4031 | 56.4984 | 0.095 |
| 2020-06-13 | 56.8639 | 56.9574 | 0.094 |
| 2020-06-14 | 57.2010 | 57.2939 | 0.093 |
| 2020-06-16 | 57.7103 | 57.7841 | 0.074 |
| 2020-06-17 | 58.2710 | 58.3341 | 0.063 |
| 2020-06-18 | 58.8374 | 58.8953 | 0.058 |
| 2020-06-19 | 59.0734 | 59.1240 | 0.051 |
| 2020-06-20 | 59.6007 | 59.6458 | 0.045 |
| 2020-06-21 | 60.0045 | 60.0451 | 0.041 |
| 2020-06-22 | 60.3754 | 60.3995 | 0.024 |
| 2020-06-24 | 61.2282 | 61.2467 | 0.018 |
| 2020-06-25 | 61.8049 | 61.8258 | 0.021 |
| 2020-06-26 | 62.0511 | 62.0723 | 0.021 |
| 2020-06-27 | 62.5887 | 62.6121 | 0.023 |
| 2020-06-28 | 63.0028 | 63.0293 | 0.027 |
| 2020-06-30 | 63.6657 | 63.6809 | 0.015 |
| 2020-07-01 | 64.2367 | 64.2487 | 0.012 |
| 2020-07-03 | 65.0596 | 65.0744 | 0.015 |
| 2020-07-04 | 65.5972 | 65.6141 | 0.017 |
| 2020-07-05 | 66.0112 | 66.0313 | 0.020 |
| 2020-07-06 | 66.3924 | 66.4036 | 0.011 |
| 2020-07-07 | 66.6742 | 66.6829 | 0.0087 |
| 2020-07-08 | 67.2451 | 67.2507 | 0.0056 |
| 2020-07-09 | 67.8218 | 67.8298 | 0.0080 |
| 2020-07-11 | 68.6056 | 68.6162 | 0.011 |
| 2020-07-12 | 69.0197 | 69.0333 | 0.014 |
| 2020-07-13 | 69.4008 | 69.4056 | 0.0048 |
| 2020-07-14 | 69.6827 | 69.6849 | 0.0023 |
| 2020-07-15 | 70.2536 | 70.2527 | 0.00086 |
| 2020-07-16 | 70.8303 | 70.8319 | 0.0016 |
| 2020-07-17 | 71.0765 | 71.0784 | 0.0019 |
| 2020-07-19 | 72.0281 | 72.0354 | 0.0072 |
| 2020-07-20 | 72.4093 | 72.4076 | 0.0017 |
| 2020-07-21 | 72.6911 | 72.6870 | 0.0042 |
| 2020-07-23 | 73.8387 | 73.8339 | 0.0049 |
| 2020-07-24 | 74.0850 | 74.0805 | 0.0045 |
| 2020-07-25 | 74.6226 | 74.6202 | 0.0023 |
| 2020-07-26 | 75.0366 | 75.0374 | 0.00079 |
| 2020-07-28 | 75.6996 | 75.6890 | 0.011 |
| 2020-07-29 | 76.2705 | 76.2568 | 0.014 |
| 2020-07-30 | 76.8472 | 76.8359 | 0.011 |
| 2020-07-31 | 77.0934 | 77.0825 | 0.011 |
| 2020-08-01 | 77.6310 | 77.6222 | 0.0088 |
| 2020-08-02 | 78.0451 | 78.0394 | 0.0056 |
| 2020-08-03 | 78.4262 | 78.4117 | 0.015 |
| 2020-08-05 | 79.2790 | 79.2588 | 0.020 |
| 2020-08-06 | 79.8557 | 79.8380 | 0.018 |
| 2020-08-07 | 80.1019 | 80.0845 | 0.017 |
| 2020-08-08 | 80.6395 | 80.6243 | 0.015 |
| 2020-08-09 | 81.0535 | 81.0414 | 0.012 |
| 2020-08-10 | 81.4347 | 81.4137 | 0.021 |
| 2020-08-11 | 81.7165 | 81.6930 | 0.023 |
| 2020-08-13 | 82.8641 | 82.8400 | 0.024 |
| 2020-08-15 | 83.6479 | 83.6263 | 0.022 |
| 2020-08-16 | 84.0620 | 84.0435 | 0.018 |
| 2020-08-17 | 84.4431 | 84.4157 | 0.027 |
| 2020-08-18 | 84.7250 | 84.6951 | 0.030 |
| 2020-08-19 | 85.2959 | 85.2629 | 0.033 |
| 2020-08-20 | 85.8726 | 85.8420 | 0.031 |
| 2020-08-22 | 86.6564 | 86.6283 | 0.028 |
| 2020-08-23 | 87.0704 | 87.0455 | 0.025 |
| 2020-08-24 | 87.4516 | 87.4178 | 0.034 |
| 2020-08-25 | 87.7334 | 87.6971 | 0.036 |
| 2020-08-26 | 88.3044 | 88.2649 | 0.039 |
| 2020-08-27 | 88.8810 | 88.8440 | 0.037 |
| 2020-08-28 | 89.1273 | 89.0906 | 0.037 |
| 2020-08-30 | 90.0789 | 90.0475 | 0.031 |
| 2020-08-31 | 90.4600 | 90.4198 | 0.040 |
| 2020-09-01 | 90.7419 | 90.6991 | 0.043 |
| 2020-09-02 | 91.3128 | 91.2670 | 0.046 |
| 2020-09-03 | 91.8895 | 91.8461 | 0.043 |
| 2020-09-04 | 92.1357 | 92.0926 | 0.043 |
| 2020-09-06 | 93.0873 | 93.0496 | 0.038 |
| 2020-09-08 | 93.7503 | 93.7012 | 0.049 |
| 2020-09-09 | 94.3213 | 94.2690 | 0.052 |
| 2020-09-10 | 94.8980 | 94.8481 | 0.050 |
| 2020-09-11 | 95.1442 | 95.0947 | 0.049 |
| 2020-09-12 | 95.6818 | 95.6344 | 0.047 |
| 2020-09-13 | 96.0958 | 96.0516 | 0.044 |
| 2020-09-14 | 96.4770 | 96.4239 | 0.053 |
| 2020-09-16 | 97.3297 | 97.2710 | 0.059 |
| 2020-09-17 | 97.9064 | 97.8501 | 0.056 |
| 2020-09-18 | 98.1526 | 98.0967 | 0.056 |
| 2020-09-19 | 98.6902 | 98.6365 | 0.054 |
| 2020-09-20 | 99.1043 | 99.0536 | 0.051 |
| 2020-09-21 | 99.4854 | 99.4259 | 0.060 |
| 2020-09-22 | 99.7673 | 99.7052 | 0.062 |
| 2020-09-24 | 100.9149 | 100.8522 | 0.063 |
| 2020-09-25 | 101.1611 | 101.0987 | 0.062 |
| 2020-09-26 | 101.6987 | 101.6385 | 0.060 |
| 2020-09-27 | 102.1127 | 102.0557 | 0.057 |
| 2020-09-29 | 102.7757 | 102.7073 | 0.068 |
| 2020-09-30 | 103.3467 | 103.2751 | 0.072 |
| 2020-10-01 | 103.9233 | 103.8542 | 0.069 |
| 2020-10-03 | 104.7071 | 104.6405 | 0.067 |
| 2020-10-04 | 105.1212 | 105.0577 | 0.063 |
| 2020-10-05 | 105.5023 | 105.4300 | 0.072 |
| 2020-10-06 | 105.7842 | 105.7093 | 0.075 |
| 2020-10-07 | 106.3551 | 106.2771 | 0.078 |
| 2020-10-08 | 106.9318 | 106.8562 | 0.076 |
| 2020-10-09 | 107.1780 | 107.1028 | 0.075 |
| 2020-10-11 | 108.1296 | 108.0597 | 0.070 |
| 2020-10-12 | 108.5108 | 108.4320 | 0.079 |
Internal fit differences
The forecasts match, so this case passes. Both libraries search for the best-fitting parameters and stop when they are close enough. On this input they stopped at slightly different points, so these internal numbers differ by more than the threshold where we take a closer look.
| Check | Effect Prophet | Python Prophet | Threshold |
|---|---|---|---|
| Fitting objective (lower is a better fit) | -745.4706 | -744.8759 | 0.01 |
Timing
Median of all measured repetitions.
| Step | Effect Prophet | Python Prophet | Effect Prophet is |
|---|---|---|---|
| Convert input rows | 49 µs | 609 µs | 12× faster |
| Save model to JSON | 19 µs | 527 µs | 27× faster |
| Load model from JSON | 189 µs | 2.31 ms | 12× faster |
| Simulate uncertainty | 11.9 ms | 158 ms | 13× faster |
| First simulation in a new process | 197 ms | 1.73 s | 8.7× faster |
| Load and simulate in a new process | 175 ms | 1.68 s | 9.6× faster |
Settings
The case declaration both libraries ran.
json
{
"kind": "map",
"comparison": {
"kind": "equivalent-objective",
"evidenceId": "linear-output-first-v4"
},
"fitRequest": "growth-only",
"configuration": {
"growth": "linear",
"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
}
}