Rate gain
After-upgrade coins per minute minus your current rate.
Compare the extra coins an upgrade might earn with its cost. Before buying, the after-upgrade rate is an assumption unless you have suitable evidence. After buying, use a comparable measurement to review the outcome. This planner does not predict an unknown upgrade effect for you.
PLAYER-INPUT TOOL
Explore a stated assumption, or review comparable observations.
Planning before a purchase: enter your current rate and the displayed cost, then try clearly stated assumptions for the after-upgrade rate. An assumed input produces a what-if result, not a verified recommendation.
Reviewing a purchase: compare observations made under matching conditions. A measured result describes that test; it does not guarantee the same rate in every session.
The planner assumes you can pay the upgrade cost at the start of the comparison. It does not calculate the time needed to save up for the purchase.
Example only: these numbers explain the arithmetic. They are not this game's upgrade prices, measured rates, or recommended settings.
Your last valid values will be saved on this device. No account data is collected.
This result is only as reliable as the inputs. A shared numeric link does not prove that its values were measured.
Separate assumptions from observations. The planner uses only your numbers. Device storage and the share URL contain numeric inputs only; never put personal data in these fields.
Use stated assumptions before buying and comparable observations afterward. The calculator does not assume hidden boosts.
After-upgrade coins per minute minus your current rate.
Upgrade cost divided by the positive rate gain.
The difference between the two coin rates, multiplied by the compared play time, minus the upgrade cost. This is the extra amount compared with keeping the original rate. It is not your total wallet balance or all coins earned during the session.
The following numbers are invented for this explanation. They are not observed gameplay data.
Assume a current rate of 100 coins per minute, an upgrade cost of 600 coins, and 20 minutes of comparable play after purchasing.
| Hypothetical case | After rate, coins/min | Extra coins/min | Break-even minutes | Extra coins versus no upgrade after 20 minutes |
|---|---|---|---|---|
| A | 110 | 10 | 60 | -400 |
| B | 140 | 40 | 15 | +200 |
| C | 160 | 60 | 10 | +600 |
These are three different assumptions, not low, average, and high outcomes measured in the game.
For case B:
Without the upgrade, the assumed income over 20 minutes is 2,000 coins. With it, the assumed income is 2,800 coins, less the 600-coin cost: 2,200. The difference is 200. Starting wallet balance and unrelated spending are not included.
For a positive play-time window:
Required extra rate = upgrade cost ÷ compared minutes.
In this example, 600 ÷ 20 = 30 additional coins per minute. Starting from 100, the after rate would need to reach 130 to break even by minute 20.
This is a threshold calculation. It does not prove that an upgrade can reach that rate.
A non-positive rate gain does not produce a finite coin-payback time for a positive purchase cost. That is a limit of this comparison, not proof that an upgrade has no collection or other value.
The model also does not establish Luck probabilities, future trade prices, persistence between sessions, or offline earnings. Do not convert an unexplained upgrade label into a coin-rate increase.
Explanation reviewed September 11, 2026 (PDT). The worked example is a mathematical illustration, not a gameplay test or a new audit of the site's code.
You supply the numbers. They may be observations, clearly identified assumptions, or the built-in hypothetical example. The planner does not look up verified game prices or predict an unknown upgrade effect.
Yes, as a what-if comparison. State the assumed after rate and try alternatives. Without evidence for that rate, the result cannot tell you whether the actual purchase will pay back.
With a positive upgrade cost and no positive rate gain, this constant-rate model has no finite coin-payback time. A zero-cost comparison has no purchase cost to recover. Neither case tells you the value of an unmeasured collection benefit or Luck effect.
Yes, on this device only. You can also copy a URL containing the numeric inputs; no account or secret data is stored.