I’m trying to figure out the formula for power spark/time reduction but it eludes me. I gathered some data, and by plotting it I see the logic, but my math skills aren’t enough to solve it
Full Data
Extra Power | 0 Power Recipe | % of original | 400 Power Recipe | % of original | 1200 Power Recipe | % of original |
---|---|---|---|---|---|---|
0 | 40000 | 100.00% | 10000 | 100.00% | 30000 | 100.00% |
100 | 32812 | 82.03% | 9470 | 94.70% | 28711 | 95.70% |
200 | 31695 | 79.24% | 8973 | 89.73% | 27617 | 92.06% |
300 | 30645 | 76.61% | 8508 | 85.08% | 26534 | 88.45% |
400 | 29611 | 74.03% | 8071 | 80.71% | 25518 | 85.06% |
500 | 28738 | 71.85% | 7662 | 76.62% | 24566 | 81.89% |
600 | 27875 | 69.69% | 7279 | 72.79% | 23674 | 78.91% |
700 | 27069 | 67.67% | 6919 | 69.19% | 22841 | 76.14% |
800 | 26317 | 65.79% | 6582 | 65.82% | 22061 | 73.54% |
900 | 25617 | 64.04% | 6404 | 64.04% | 21333 | 71.11% |
1000 | 24967 | 62.42% | 6242 | 62.42% | 20654 | 68.85% |
1100 | 24363 | 60.91% | 6091 | 60.91% | 20020 | 66.73% |
1200 | 23804 | 59.51% | 5951 | 59.51% | 19430 | 64.77% |
1300 | 23288 | 58.22% | 5822 | 58.22% | 18880 | 62.93% |
1400 | 22812 | 57.03% | 5703 | 57.03% | 18368 | 61.23% |
1500 | 22374 | 55.94% | 5593 | 55.93% | 17892 | 59.64% |
1600 | 21971 | 54.93% | 5493 | 54.93% | 17449 | 58.16% |
1700 | 21603 | 54.01% | 5401 | 54.01% | 17038 | 56.79% |
1800 | 21267 | 53.17% | 5317 | 53.17% | 16656 | 55.52% |
1900 | 20961 | 52.40% | 5240 | 52.40% | 16300 | 54.33% |
2000 | 20683 | 51.71% | 5171 | 51.71% | 15970 | 53.23% |
2100 | 20431 | 51.08% | 5108 | 51.08% | 15664 | 52.21% |
2200 | 20205 | 50.51% | 5051 | 50.51% | 15378 | 51.26% |
2300 | 20001 | 50.00% | 5000 | 50.00% | 15113 | 50.38% |
2400 | 19819 | 49.55% | 4955 | 49.55% | 14866 | 49.55% |
2500 | 19656 | 49.14% | 4914 | 49.14% | 14742 | 49.14% |
2600 | 19512 | 48.78% | 4878 | 48.78% | 14634 | 48.78% |
2700 | 19385 | 48.46% | 4846 | 48.46% | 14539 | 48.46% |
2800 | 19273 | 48.18% | 4818 | 48.18% | 14455 | 48.18% |
2900 | 19176 | 47.94% | 4794 | 47.94% | 14382 | 47.94% |
3000 | 19092 | 47.73% | 4773 | 47.73% | 14319 | 47.73% |
3100 | 19019 | 47.55% | 4755 | 47.55% | 14264 | 47.55% |
3200 | 18950 | 47.38% | 4739 | 47.39% | 14218 | 47.39% |
3300 | 18904 | 47.26% | 4726 | 47.26% | 14178 | 47.26% |
3400 | 18860 | 47.15% | 4715 | 47.15% | 14145 | 47.15% |
3500 | 18824 | 47.06% | 4706 | 47.06% | 14118 | 47.06% |
3600 | 18794 | 46.99% | 4699 | 46.99% | 14096 | 46.99% |
3700 | 18770 | 46.93% | 4692 | 46.92% | 14077 | 46.92% |
3800 | 18751 | 46.88% | 4688 | 46.88% | 14063 | 46.88% |
3900 | 18736 | 46.84% | 4684 | 46.84% | 14052 | 46.84% |
4000 | 18724 | 46.81% | 4681 | 46.81% | 14043 | 46.81% |
4100 | 18716 | 46.79% | 4679 | 46.79% | 14037 | 46.79% |
4200 | 18710 | 46.78% | 4678 | 46.78% | 14033 | 46.78% |
4300 | 18706 | 46.77% | 4676 | 46.76% | 14029 | 46.76% |
4400 | 18703 | 46.76% | 4676 | 46.76% | 14027 | 46.76% |
4500 | 18702 | 46.76% | 4675 | 46.75% | 14026 | 46.75% |
4600 | 18701 | 46.75% | 4675 | 46.75% | 14025 | 46.75% |
4700 | 18700 | 46.75% | 4675 | 46.75% | 14025 | 46.75% |
4800 | 18700 | 46.75% | 4675 | 46.75% | 14025 | 46.75% |
4900 | 18700 | 46.75% | 4675 | 46.75% | 14025 | 46.75% |
5000 | 18700 | 46.75% | 4675 | 46.75% | 14025 | 46.75% |
Recipes used were Refined Amethyst (0 power), Iron Filigree (400 power) and Titanium Filigree (1200 power)
The curve changes after extra power reaches 2 * recipe power requirement. It seems to be a cubic curve after that, maybe quadratic in the beginning? Somebody intelligent here who’s able to figure it out?