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<html>
<head>
<title>Frozen Cookies</title>
<link
href="https://github.global.ssl.fastly.net/assets/github-9afee1795ffe35383fb29abd9a59837417e36c46.css"
media="all"
rel="stylesheet"
type="text/css"
/>
<link
href="https://github.global.ssl.fastly.net/assets/github2-ebc981e499faa002b029a97084129b1c987eea09.css"
media="all"
rel="stylesheet"
type="text/css"
/>
<script
src="https://github.global.ssl.fastly.net/assets/frameworks-8a61e23841d9e5ecc084748ec552e548cd05c977.js"
type="text/javascript"
></script>
<script
src="https://github.global.ssl.fastly.net/assets/github-f9213889d8ad7b2bef010721f415be3e61f7f69c.js"
type="text/javascript"
></script>
</head>
<body>
<div class="markdown-body entry-content" itemprop="mainContentOfPage">
<h1>
<a name="frozencookies" class="anchor" href="#frozencookies"
><span class="octicon octicon-link"></span></a
>FrozenCookies
</h1>
<p>An automated Cookie Clicker tool.</p>
<h2>
<a name="how-to-use" class="anchor" href="#how-to-use"
><span class="octicon octicon-link"></span></a
>How to use
</h2>
<ol>
<li>
Paste the <em>contents</em> (not the url) of
<a
href="https://raw.github.com/Icerhawk78/FrozenCookies/master/fc_bookmarklet_loader.js"
>https://raw.github.com/Icerhawk78/FrozenCookies/master/fc_bookmarklet_loader.js</a
>
into a bookmark.
</li>
<li>Load up Cookie Clicker.</li>
<li>Load the recently created bookmark.</li>
</ol>
<h2>
<a
name="what-can-frozen-cookies-do"
class="anchor"
href="#what-can-frozen-cookies-do"
><span class="octicon octicon-link"></span></a
>What can Frozen Cookies do?
</h2>
<ul>
<li>
Long number shortening. (convert 1,234,567,890 to 1.235 billion)
</li>
<li>Calculates the most efficient* next purchase.</li>
<li>
Optionally, will automatically buy that most efficient* next purchase.
</li>
<li>Calculates all sorts of stuff having to do with Golden Cookies.</li>
<li>
Optionally, will automatically click Golden Cookies when they appear.
</li>
<li>Calculates all sorts of stuff having to do with Heavenly Chips.</li>
<li>
Displays a timer for the following items: Next Golden Cookie, Time
left in Frenzy, Time until next Heavenly Chip.
</li>
<li>
Displays a second timer for the time to completion of Golden Cookie
Bank, Next Purchase, and the end of a Chain of Purchases.
</li>
<li>
Calculates far more building/upgrade efficiency information that any
person ever wants to know, and displays it in a not extremely user
friendly manner.
</li>
<li>
Automatically updates to the most recent version upon load. Regardless
of if that version is better or not.
</li>
<li>
<p>Might not eat all of your cookies.</p>
<p>
*Note: Not guaranteed to actually be the most efficient purchase.
Just the most efficient that I currently know of.
</p>
</li>
</ul>
<h2>
<a name="whats-new" class="anchor" href="#whats-new"
><span class="octicon octicon-link"></span></a
>What's new?
</h2>
<ul>
<li>
2013-10-17: Timers are much smoother and not on the FC page, many
stability improvements, newer GC valuation code, and moved the hosting
URL to one that won't cause script-type warnings when you load it.
</li>
<li>
2013-10-03: Finally getting around to updating this file. Lots of
other changes have been added in the meantime.
</li>
<li>2013-09-23: Added Chained Upgrade purchases</li>
</ul>
<h2>
<a name="upcoming-features" class="anchor" href="#upcoming-features"
><span class="octicon octicon-link"></span></a
>Upcoming features!
</h2>
<ul>
<li>
The ability to switch between multiple different number-shortening
styles.
</li>
<li>
Add less terrible UI, including more detailed tooltips, and possible
color/icon markers indicating relative efficiency of purchases.
</li>
<li>
Add three different auto-click features; one for only clicking during
Click Frenzies, one for clicking during <em>any</em> Frenzy, and one
for auto-clicking at all times.
</li>
<li>
Implement more accurate Golden/Wrath Cookie calculations, using Markov
Chain based data, rather than naïve base probabilities.
</li>
<li>
Add the ability to set custom Golden Click ratio and Cookie Click
ratio for more accurate valuation of Golden Cookie upgrades and Mouse
upgrades.
</li>
<li>
Move timers to the left-hand panel to be visible at all times, rather
than just when on the FC page.
</li>
<li>
Add a toggle to make timers utilise Effective CPS rather than Current
CPS for "Time to Completion"
</li>
<li>
Other stuff? (If you're a visitor and have other ideas to be added, go
here to let me know:
<a href="https://github.com/Icehawk78/FrozenCookies/issues/new"
>https://github.com/Icehawk78/FrozenCookies/issues/new</a
>
)
</li>
</ul>
<h1>
<a
name="efficiency-whats-that"
class="anchor"
href="#efficiency-whats-that"
><span class="octicon octicon-link"></span></a
>Efficiency? What's that?
</h1>
<p>
Frozen Cookies uses a custom tweaked Efficiency calculation to determine
what the optimal purchase at the current point in time is. The current
raw efficiency formula is the following:
</p>
<pre><code> cost cost
1.15 * ----------- + ---------
current cps delta cps
</code></pre>
<p>
This originated from the assertion that, for any purchases A and B,
purchase A is superior if and only if the following inequality is true:
</p>
<pre><code>a.cost b.cost b.cost a.cost
------ + ----------- < ------ + -----------
CPS a.CPS + CPS CPS b.CPS + CPS
</code></pre>
<p>
Initially, this was just simplified down to (cost/cps + cost/Δ cps), but
thanks to a number of repeated simulations by Vandalite, it was found
that adding a modifier to the (cost/cps) section very slightly increased
the optimal build speed, as can be seen here:
</p>
<p>
<a
href="https://github-camo.global.ssl.fastly.net/d8687b7b0342fd4201f8079b6a84f3762db0e60e/687474703a2f2f692e696d6775722e636f6d2f4276565261646d2e706e67"
target="_blank"
><img
src="https://github-camo.global.ssl.fastly.net/d8687b7b0342fd4201f8079b6a84f3762db0e60e/687474703a2f2f692e696d6775722e636f6d2f4276565261646d2e706e67"
alt="Cookie Monster uses the more naïve (cost/Δ CPS) formula, which is far less efficient than either of the Frozen Cookie efficiency algorithms."
style="max-width: 100%"
/></a>
</p>
<p>
For Golden Cookies, it was determined that using the naïve cost/Δ cps to
determine when it is optimal to begin building a bank for Golden Cookies
is superior to our primary efficiency algorithm, since you actually gain
effective CPS increases continually while building bank (from increased
Lucky payouts).
</p>
<p>
All of these calculations are subject to change if it is revealed that a
different algorithm will build (and maintain) a CPS base faster than the
current one. Additionally, there is uncompleted code that will simplify
these numbers to a simple percentage-based system for easier user
reference.
</p>
<h1>
<a
name="information-about-frozen-cookies-data"
class="anchor"
href="#information-about-frozen-cookies-data"
><span class="octicon octicon-link"></span></a
>Information about Frozen Cookies' Data
</h1>
<p>
This is an explanation of each piece of data contained in the Frozen
Cookie menu screen.
</p>
<h2>
<a name="autobuy-information" class="anchor" href="#autobuy-information"
><span class="octicon octicon-link"></span></a
>Autobuy Information
</h2>
<ul>
<li>
<strong>Next Purchase</strong>: This is what FC's formulas have
determined is the optimal next purchase, and if autobuy is turned on,
is <em>what</em> FC will buy next.
</li>
<li>
<strong>Building Chain to</strong>: This is only visible if FC has
calculated that the best purchase is an upgrade that has prerequisites
that are not yet met. In that case, this is that upgrade (whereas the
"Next Purchase" will be the recommended prerequisite to purchase).
</li>
<li>
<strong>Time til completion</strong>: This is how long, at your
current CPS, it will take to purchase the Next Purchase. This includes
any calculated needed GC Bank.
</li>
<li>
<strong>Time til Chain completion</strong>: Only visible if building
to a chain, this is how long, at your current CPS, it will take to
purchase all prerequisites and the target upgrade.
</li>
<li><strong>Cost</strong>: The cost of the Next Purchase.</li>
<li>
<strong>Golden Cookie Bank</strong>: The amount of cookies that FC has
calculated you should keep on hand as a bank to maximise the value
from Golden Cookies.
</li>
<li>
<strong>Base Δ CPS</strong>: The total amount of displayed CPS that
will increase from the Next Purchase. (This includes all bonuses,
regardless of what items they're on - it's just the raw amount that
your CPS will increase above the Big Cookie.)
</li>
<li>
<strong>Full Δ CPS</strong>: The amount of estimated effective CPS
that will increase from the Next Purchase. This is the Base Δ CPS +
the amount of change in the estimated CPS value of Golden Cookies.
</li>
<li>
<strong>Purchase Efficiency</strong>: This is the efficiency
calculation for the next purchase. If building to a chain, this may
temporarily appear much worse than other options. If the
recommendation engine formula changes, this number will too.
</li>
<li>
<strong>Chain Efficiency</strong>: Only visible if building to a
chain. This is the efficiency calculation for the entire chain. (This
currently does not take into account CPS increases from the purchase
of prerequisites, and thus is actually under-estimating how efficient
the full chain will be, to simplify calculations. This may be changed
at a later date.)
</li>
<li>
<strong>Golden Cookie Efficiency</strong>: This the efficiency
calculation of holding on to a bank of 10x Max Golden Cookie Value
(and thus maximize the amount of Cookies earned across all Golden
Cookie clicks).
</li>
</ul>
<h2>
<a
name="golden-cookie-information"
class="anchor"
href="#golden-cookie-information"
><span class="octicon octicon-link"></span></a
>Golden Cookie Information
</h2>
<ul>
<li>
<strong>Current Average Cookie Value</strong>: This is the average
value of Golden Cookies with your current CPS, Cookie Bank, and
upgrades. This is the idealised equivalent to clicking 1000 Golden
Cookies with your current CPS/Bank/Upgrades, and then dividing the
total amount of Cookies gained by 1000. If your GC Average is
currently maxed out, then this will be marked as <em>(Max)</em>.
</li>
<li>
<strong>Max Lucky Cookie Value</strong>: This is the absolute maximum
value that you can get from a Lucky! Golden Cookie, with the upgrades
you have purchased. (Specifically, if you have Get Lucky, it's 8400 *
Current CPS; Otherwise, it's 1200 * Current CPS).
</li>
<li>
<strong>Cookie Bank Required for Max Lucky</strong>: This is the
amount of cookies needed to maximise a Lucky! Golden Cookie. It's just
the previous value * 10.
</li>
<li>
<strong>Estimated Cookie CPS</strong>: This is a rough estimate of how
much CPS you'd effectively add by clicking every Golden Cookie.
Currently, with the Autoclick GC turned off, this will return 0.
</li>
<li>
<strong>Golden Cookie Clicks</strong>: The number of times you've
clicked a Golden Cookie.
</li>
<li>
<strong>Missed Golden Cookie Clicks</strong>: The number of times
you've <em>not</em> clicked a Golden Cookie before it faded from view.
</li>
<li>
<strong>Last Golden Cookie Effect</strong>: The internal name of the
last Golden Cookie effect.
</li>
<li>
<strong>Total Recorded Frenzy Time</strong>: The total amount of time
(while FC was loaded) that has been spent in a Frenzy.
</li>
<li>
<strong>Total Recorded Non-Frenzy Time</strong>: The total amount of
time (while FC was loaded) that has been spent not in a Frenzy.
</li>
</ul>
<h2>
<a
name="heavenly-chips-information"
class="anchor"
href="#heavenly-chips-information"
><span class="octicon octicon-link"></span></a
>Heavenly Chips Information
</h2>
<ul>
<li><strong>HC Now</strong>: The number of HC currently owned.</li>
<li>
<strong>HC After Reset</strong>: The number of HC you'll have if you
reset right now.
</li>
<li>
<strong>Cookies to next HC</strong>: The number of cookies needed to
gain one more HC after reset.
</li>
<li>
<strong>Estimated time to next HC</strong>: This is how long, at your
current CPS, it will take to make enough cookies to gain one more HC
after reset.
</li>
<li>
<strong>Time since last HC</strong>: This is how long it has been
since the last time you gained an HC.
</li>
<li>
<strong>Time to get last HC</strong>: This is how long it actually
took (including lucky bonuses, frenzy time, etc) to gain the last HC.
</li>
<li>
<strong>Average HC Gain/hr</strong>: When the last HC was gained, this
was the total number of HC that have been gained (ever) since the last
reset, divided by the total amount of play time. Used in conjunction
with the next value, this provides a (very) rough estimate of when you
should begin to think about resetting. (When Average HC/hr is
constantly less than Prev HC/hr.)
</li>
<li>
<strong>Previous Average HC Gain/hr</strong>: This is the same
calculation as the previous, but for the HC prior to the last one.
(Yes, it's confusing. Sorry.)
</li>
</ul>
<h2>
<a name="other-information" class="anchor" href="#other-information"
><span class="octicon octicon-link"></span></a
>Other Information
</h2>
<ul>
<li>
<strong>Base CPS</strong>: This is how many cookies you create every
second, when a Frenzy is not active. (Marked with (*) when this is the
current CPS.)
</li>
<li>
<strong>Frenzy CPS</strong>: This is how many cookies you create every
second, when a Frenzy is active. (Marked with (*) when this is the
current CPS.)
</li>
<li>
<strong>Estimated Effective CPS</strong>: This is an estimate (over
time) of roughly how many cookies you create every second, when
including the effects of clicking Golden Cookies. This will currently
be the same as the Base CPS if Autoclick GC is turned off.
</li>
<li>
<strong>Game Started</strong>: How long it's been since the most
recent reset.
</li>
</ul>
<h2>
<a
name="internal-information"
class="anchor"
href="#internal-information"
><span class="octicon octicon-link"></span></a
>Internal Information
</h2>
<p>
This is actually a table of literally every purchase that Frozen Cookies
is currently considering buying.
</p>
<ul>
<li>
<strong>Efficiency</strong>: The calculated Efficiency value of that
purchase. This returns Infinity if the Δ CPS is negative. Smaller
numbers are better.
</li>
<li>
<strong>Cost</strong>: The cost of either the individual purchase, or
the entire chain, for chained upgrades.
</li>
<li>
<strong>Δ CPS</strong>: The full CPS change that buying this purchase
would have. Includes estimated Golden Cookie CPS changes, meaning that
it may be negative (especially for Elder Covenant.)
</li>
</ul>
<h1>
<a name="known-issues" class="anchor" href="#known-issues"
><span class="octicon octicon-link"></span></a
>Known Issues
</h1>
<ul>
<li>
<del
>Currently will not ever buy or recommend buying any of the
Grandmapocalypse-increasing buildings while the Autoclick GC is
turned on. (Due to the severe lack of efficiency in Wrath Cookies
compared to Golden Cookies.)</del
>
</li>
<li>
Currently will not ever buy or recommend buying the Sacrificial
Rolling Pin. (Due to not modelling the cost of the Elder Pact as lost
CPS.)
</li>
<li>
<del
>Currently will not buy or recommend buying chains of buildings in
order to unlock an upgrade that, itself, might be the most efficient
purchase even when combined with the cost of the prerequisite
buildings.</del
>
</li>
<li>
Reports of people buying upgrades and having the cost deducted, but
the purchase reverted has been noted. This is difficult to reproduce
and <em>may</em> have already been fixed, but that is not currently
guaranteed. Recommend saving before making any large upgrade
purchases, just in case.
</li>
<li>Possibly other things?</li>
</ul>
<h1>
<a name="contact-us" class="anchor" href="#contact-us"
><span class="octicon octicon-link"></span></a
>Contact Us!
</h1>
<p>
Everyone who is contributing to this project can be found at some time
or another on the Cookie Clicker IRC.
</p>
<p>Server: irc.gamesurge.net</p>
<p>Channel: #ccdev or #dashnet</p>
<h1>
<a name="special-thanks" class="anchor" href="#special-thanks"
><span class="octicon octicon-link"></span></a
>Special Thanks
</h1>
<p>From the Cookie Clicker IRC, thanks to the following users:</p>
<ul>
<li>
Vandalite, for tons of calculations and other general help with the
underlying math
</li>
<li>Code14715, for excessively helpful amounts of testing</li>
<li>
Eearslya, for constantly nagging me to add more non-cheat-y features
</li>
<li>Saeldur, for helping make the timers suck less</li>
<li>Icehawk78, for writing this section and being a conceited ass</li>
<li>Other people who I've temporarily forgotten and will add later</li>
</ul>
</div>
</body>
</html>