Newton Nether Warts Hoe

The Newton Nether Warts Hoe is a Hoe. It can be crafted from the Mathematical Hoe Blueprint. This hoe can be upgraded with Jacob's Tickets, Nether Warts, Enchanted Nether Warts, and Mutant Nether Warts. Higher tiers can also be obtained by harvesting crops. With use of a Recombobulator 3000, the hoe can be a maximum Rarity of.

Upgrades
Harvest +10% nether warts Gain +1% Alchemy Exp Harvest +25% nether warts Gain +2% Alchemy Exp Logarithmic Counter = Harvest +16% nether wart per digits on the Counter, minus 4! Bonus nether wart percent increases your Farmhand perk's chances
 * -|Common Stats=
 * -|Uncommon Stats=

Harvest +50% nether warts Gain +3% Alchemy Exp Logarithmic Counter = Harvest +16% nether wart per digits on the Counter, minus 4! Collection Analysis = Harvest +8% nether wart per digits of your collection, minus 4! Bonus nether wart percent increases your Farmhand perk's chances
 * -|Rare Stats=

Tiers
Harvest +10% Nether Wart Gain +1% Alchemy Exp Reach 100k Counter for +1 Rarity! Harvest +25% Nether Wart Gain +2% Alchemy Exp Reach 10M Counter for +1 Rarity! Harvest +50% Nether Wart Gain +12% Alchemy Exp
 * -|Common Stats=
 * -|Uncommon Stats=
 * -|Rare Stats=

Formulas
The number of digits on the counter may be calculated using:
 * $$n = \left\lfloor\log_{10} counter\right\rfloor + 1$$

The following formula mathematically represents the and  ability scaling:
 * $$\text{Logarithmic Counter Bonus} =

\begin{cases} 0 & n \leq 4 \\ n \times 16% & otherwise \end{cases}$$
 * $$\text{Collection Analysis Bonus} =

\begin{cases} 0 & n \leq 4 \\ n \times 8% & otherwise \end{cases}$$

Trivia

 * Since the introduction of Farming Fortune, all bonuses are applied as Farming Fortune as well, converting its previously multiplicative bonuses into additive bonuses.
 * The Rarity will increase by 1, whether it is upgraded it through crafting or by increasing the counter (collecting nether warts). All three upgrades and all three counter tiers are obtainable for the hoe.
 * For example, a Newton Nether Warts Hoe with a 100k counter will increase to rarity. It can then be increased to  by using the crafting recipe for . The order does not matter; the Rarity will always increase by 1.
 * This hoe's ability gives Alchemy Experience, since farming Nether Warts grants the player Alchemy Experience instead of Farming Experience.