Ancient Claw/Guide: Difference between revisions

From Melvor Idle
(Write the start of the analysis.)
No edit summary
 
(90 intermediate revisions by 7 users not shown)
Line 1: Line 1:
===Introduction===
{{UserContentVersion|1.3}}
{{StrategyGuide}}


{{ItemIcon|Ancient Claw}} is largely the best melee weapon that does not require late-game content to obtain.
==Introduction==
{{ItemIcon|Ancient Claw}} is a melee weapon that does not require late-basegame content to obtain. It is also a component for {{ItemIcon|Infernal Claw}}.


The Ancient Claw is assembled from the {{ItemIcon|Ancient Claw Fragment|fragments}} that drop only from the {{Icon|Pegasus|type=monster}}. You need to kill 3333 Pegasi on average to get enough fragments.
The Ancient Claw is assembled from the {{ItemIcon|Ancient Claw Fragment|fragments}} that drop only from {{MonsterIcon|Pegasus}}. On average, {{formatnum:3333}} {{MonsterIcon|Pegasus|Pegasi}} kills are required in order to obtain enough fragments.


The question is when to farm it and what combat style is the best for that. The main point of contention is whether to farm it before or after the {{ZoneIcon|Volcanic Cave}} because this dungeon is farmed with a Melee build and is vital for idling the {{ZoneIcon|Air God Dungeon}}.
The question is when to farm it and what combat style is the best for that. The main point of contention is whether to farm it before or after the {{ZoneIcon|Volcanic Cave}}, as this dungeon is farmed with a {{Icon|Melee}} build and is vital for idling the {{ZoneIcon|Air God Dungeon}}.


To answer these questions, we will consider the following builds:  
To answer these questions, the following builds will be considered:
* starter {{ItemIcon|Fire Expert Wizard Hat|runecrafting}} magic,
* {{Icon|Fire Wave|type=spell|Wave}} magic,
* after-{{ZoneIcon|Deep Sea Ship|Ship}} melee,  
* {{ItemIcon|Sunset Rapier|Rapier}} melee,
* after-{{ZoneIcon|Volcanic Cave|Volcanic}} magic,  
* {{Icon|Slicing Winds|type=spell}} magic,  
* after-{{ZoneIcon|Water God Dungeon|Glacia}} magic.
* {{ItemIcon|Glacia God Helmet|Glacia}} magic.


These builds were chosen to show the changes that the various drops bring into farming the Pegasus. The ranged builds were not considered because the {{Icon|Pegasus|type=monster}} is {{Icon|Melee}} and has the highest evasion against {{Skill|Ranged}} in addition to the [[Combat Triangle]].
These builds were chosen to show the changes that the various drops bring into farming Pegasus. {{Skill|Ranged}} builds were not considered because the {{MonsterIcon|Pegasus}} is {{Icon|Melee}} and has the highest evasion against Ranged in addition to the [[Combat Triangle]].


In the considered situations, no prayers, potions, or other buffs are enabled unless specified. <br>
==Builds==
The skill levels are given so that you can replicate the simulations in the [[Combat Simulator]]. <br>
Each build assumes the following:
The {{UpgradeIcon|Auto Eat - Tier III}} is used. <br>
* The ring slot is always occupied with {{ItemIcon|Magical Ring}}.
The {{ItemIcon|Whale (Perfect)}} is used as a food of choice.
* {{UpgradeIcon|Auto Eat - Tier III}} is used.
* {{ItemIcon|Whale (Perfect)}} is used as the [[Food]] of choice because it is considered a middle ground between starting out and being fully levelled in {{Skill|Firemaking}}, {{Skill|Fishing}}, {{Skill|Farming}}, and {{Skill|Cooking}}.
* The character is on the {{Icon|Hardcore}} game mode with all [[Combat]] skills at level 60. This means all builds presented here are suitable regardless of the game mode being played.


The ring slot is always occupied with {{ItemIcon|Magical Ring}}.
Skill levels are given so that these simulations may be replicated using the [[Combat Simulator]] add-in.


===Starter magic===


{| class="wikitable"
===Fire Wave Magic===
|-
Combat stats around level 60.
! Item
{{Equipment/Recommended
! DR
|style=Magic
|-
|showDR=true
| {{ItemIcon|Fire Expert Wizard Hat}}
|helm1=Slayer Wizard Hat (Strong)
| 5%
|neck1=Amulet of Magic
|-
|cape1=Enchanted Cape
| {{ItemIcon|Fire Expert Wizard Robes}}
|ring1=Magical Ring
| 5%
|body1=Slayer Wizard Robes (Strong)
|-
|legs1=Fire Expert Wizard Bottoms
| {{ItemIcon|Fire Expert Wizard Bottoms}}
|shield1=Miolite Shield
| 5%
|gloves1=Paladin Gloves
|-
|boots1=Fire Expert Wizard Boots
| {{ItemIcon|Fire Expert Wizard Boots}}
|weapon1=Magic Wand (Powerful)
| 5%
}}
|-
| {{ItemIcon|Miolite Shield}}
| 2%
|-
| {{ItemIcon|Enchanted Cape}}
| 0%
|-
| {{ItemIcon|Amulet of Magic}}
| 0%
|-
| {{ItemIcon|Paladin Gloves}}
| 4%
|-
| {{ItemIcon|Magic Wand (Powerful)}}
| 0%
|-
| Total
| 26%
|}


{{Icon|Fire Surge|type=spell}} is used with Combination Runes. All skills are at level 75.
Spell: {{Icon|Fire Wave|type=spell}} <br>
Prayers: {{Icon|Mystic Lore|type=prayer}} and {{Icon|Mystic Might|type=prayer}} <br>
Point of Interest: {{POIIcon|The Academia Arcanum}}


The [[Combat Simulator|simulation]] results are:
The average time to obtain all {{ItemIcon|Ancient Claw Fragment|Ancient Claw Fragments|qty=100}} with this build is approximately 30 hours. However, note that without Slayer gear this increases to 33 hours.
* 1358 {{ItemIcon|Ancient Rune|Ancient runes}} spent,
* 151.9 {{ItemIcon|Whale (Perfect)|whales}} per hour,
* 23 Pegasi per hour.


<math>T_c = 151.9 * 18.875 = 2867</math>
===Sunset Rapier Melee===
Combat stats around level 70.
{{Equipment/Recommended
|style=Melee
|showDR=true
|helm1=Slayer Helmet (Strong)
|neck1=!{{ItemIcon|Amulet of Calculated Promotion|Promotion}} or {{ItemIcon|Amulet of Glory|Glory}}
|ring1=Magical Ring
|cape1 = Fire Cape
|body1=Slayer Platebody (Strong)
|legs1=(G) Dragon Platelegs
|shield1=(G) Dragon Shield
|gloves1=Paladin Gloves
|boots1=(G) Dragon Boots
|weapon1=Sunset Rapier
}}


<math>T_m = (N * 7 * (1 + 2/16 + 2/16) / 16 + N / 16) * 1.3 = N / 16 * (8.75 + 1) * 1.3 = N * 12.675 / 16</math>
Prayers: {{Icon|Chivalry|type=prayer}} and {{Icon|Incredible Reflexes|type=prayer}} <br>
Point of Interest: {{POIIcon|Dark Waters}}


<math>T_r = N * 9.75 * 2 / 16 = N * 9.75 / 8</math>
The grind time with this build is approximately 24 hours. Without Slayer gear, this time increases to 26 hours.


<math>N = 1358</math>
===Slicing Winds Magic===
Combat stats around level 75.
{{Equipment/Recommended
|style=Magic
|showDR=true
|helm1=Ancient Wizard Hat
|neck1=Elite Amulet of Magic
|cape1=Skull Cape
|ring1=Magical Ring
|body1=Ancient Wizard Robes
|legs1=Ancient Wizard Bottoms
|shield1=Miolite Shield
|gloves1=Elementalist Gloves
|boots1=Ancient Wizard Boots
|weapon1=Magic Wand (Powerful)
}}


<math>T_m = 1358 * 12.675 / 16 = 1076</math>
Spell: {{Icon|Slicing Winds|type=spell}} <br>
Aurora: {{Icon|Surge II|type=aurora}} <br>
Prayers: {{Icon|Mystic Might|type=prayer}} and {{Icon|Mystic Mastery|type=prayer}}<br>
Point of Interest: {{POIIcon|The Academia Arcanum}}


<math>T_r = 1358 * 9.75 / 8 = 1655</math>
Reaching at least 20,000 accuracy is key for this build, as this prevents {{Icon|Slicing Winds|type=spell}} from missing. Therefore, while the build only requires a minimum of {{SkillReq|Magic|72}}, and at most {{SkillReq|Magic|93}} or multiple accuracy bonuses from sources such as:
* {{ItemIcon|Magic Assistance Potion|Magic Assistance Potions}}
* {{Skill|Astrology}}
* {{Skill|Prayer}}
* {{Skill|Agility}}


The adjusted time <math>A_{start} = T_{all} / D_h = (3600 + 2867 + 1076 + 1655) / 23 = 400</math>
Worth noting that using a {{ItemIcon|Mystic Air Staff}} will ''drastically'' reduce the amount of runes spent - especially while using Surge Auroras. The staff will be slower, and will require more [[Food]] due to the player taking a greater number of hits.


In other words, the time that is required to get all resources for killing one Pegasus and to actually kill it is 400 seconds.
'''Warning:''' Swapping {{ItemIcon|Miolite Shield}} for {{ItemIcon|Book of Eli}} will not significantly reduce kill times, while also forcing you to spend more runes and therefore more time Runecrafting.  


The overall time to get all resources and kill all Pegasi is <math>400 * 3333 / 3600 = 371 \text{ hours}.</math>
The grind time with this build is approximately 11 hours. Slayer equipment has no impact on the clear speed in this case.


===After-Ship melee===
===Glacia Magic===
Combat stats around level 85.
{{Equipment/Recommended
|style=Magic
|showDR=true
|helm1=Glacia God Helmet
|neck1=Elite Amulet of Magic
|cape1=Infernal Cape
|ring1=Magical Ring
|body1=Glacia God Platebody
|legs1=Glacia God Platelegs
|gloves1=Glacia God Gloves
|boots1=Glacia God Boots
|weapon1=Cloudburst Staff
|consumable1 = Magic Hinder Scroll
}}


{| class="wikitable"
Spell: {{Icon|Water Surge|type=spell}} <br>
|-
Curse: {{Icon|Anguish III|type=curse}} <br>
! Item
Aurora: {{Icon|Surge II|type=aurora}} <br>
! DR
Prayers: {{Icon|Mystic Might|type=prayer}} and {{Icon|Mystic Mastery|type=prayer}}<br>
|-
Point of Interest: {{POIIcon|The Academia Arcanum}}
| {{ItemIcon|(G) Dragon Helmet}}
| 6%
|-
| {{ItemIcon|(G) Dragon Platebody}}
| 6%
|-
| {{ItemIcon|(G) Dragon Platelegs}}
| 6%
|-
| {{ItemIcon|(G) Dragon Boots}}
| 6%
|-
| {{ItemIcon|(G) Dragon Shield}}
| 6%
|-
| {{ItemIcon|Amulet of Calculated Promotion}}
| 0%
|-
| {{ItemIcon|Paladin Gloves}}
| 4%
|-
| {{ItemIcon|Sunset Rapier}}
| 0%
|-
| Total
| 34%
|}


All skills are at level 75.
Summons: {{ItemIcon|Dragon}} and {{ItemIcon|Witch}} Increase the kills per hour by about 1, shortening your grind by 20 minutes if you have {{ItemIcon|Dragon}} unlocked.


The simulation results are:
The grind time with this build is approximately 5.5 hours.
* 33.2 {{ItemIcon|Whale (Perfect)|whales}} per hour,
* 26.57 Pegasi per hour.


<math>T_c = 33.2 * 18.875 = 626.7</math>
However, this build implies that the {{ZoneIcon|Air God Dungeon}} would need to be cleared with {{ItemIcon|Sunset Rapier}}.


The adjusted time <math>A_{ship} = (3600 + 626.7) / 26.57 = 159.08</math>


The overall time is <math>159.08 * 3333 / 3600 = 148 \text{ hours}.</math>
{{Menu}}
 
 
===After-Volcanic magic===
 
{| class="wikitable"
|-
! Item
! DR
|-
| {{ItemIcon|Ancient Wizard Hat}}
| 5%
|-
| {{ItemIcon|Ancient Wizard Robes}}
| 5%
|-
| {{ItemIcon|Ancient Wizard Bottoms}}
| 5%
|-
| {{ItemIcon|Ancient Wizard Boots}}
| 5%
|-
| {{ItemIcon|Miolite Shield}}
| 2%
|-
| {{ItemIcon|Enchanted Cape}}
| 0%
|-
| {{ItemIcon|Elite Amulet of Magic}}
| 2%
|-
| {{ItemIcon|Elementalist Gloves}}
| 0%
|-
| {{ItemIcon|Magic Wand (Powerful)}}
| 0%
|-
| Total
| 24%
|}
 
All skills are at level 75 except {{SkillReq|Magic|91}}. With the following setup, you should have exactly 20k accuracy on {{Icon|Slicing Winds|type=spell}}, they cannot miss now.
 
The simulation results with {{ItemIcon|Book of Eli|Eli}} are:
* 4905 {{ItemIcon|Ancient Rune|Ancient runes}} spent,
* 107.9 {{ItemIcon|Whale (Perfect)|whales}} per hour,
* 196.2 Pegasi per hour.
 
<math>T_c = 107.9 * 18.875 = 2037</math>
 
<math>T_m = (N * 20 + N) / 16 * 1.3 = N * 21 / 16 * 1.3 = N * 27.3 / 16</math>
 
<math>T_r = N * 21 * 2 / 16 = N * 21 / 8</math>
 
<math>N = 4905</math>
 
<math>T_m = 4905 * 27.3 / 16 = 8370</math>
 
<math>T_r = 4905 * 21 / 8 = 12876</math>
 
The adjusted time <math>A_{volcano} = T_{all} / D_h = (3600 + 2037 + 8370 + 12876) / 196.2 = 137</math>
 
The overall time is <math>137 * 3333 / 3600 = 127 \text{ hours}.</math>
 
If you swap {{ItemIcon|Miolite Shield}} to {{ItemIcon|Book of Eli}}, it will only increase the clear time because your melee defence would plummet, resulting in many more Whales eaten.
 
The simulation results with {{ItemIcon|Book of Eli|Eli}} are:
* 4905 {{ItemIcon|Ancient Rune|Ancient runes}} spent,
* 172.4 {{ItemIcon|Whale (Perfect)|whales}} per hour,
* 196.2 Pegasi per hour.
 
<math>T_c = 172.4 * 18.875 = 3254</math>
 
<math>T_m = 8370</math>. <math>T_r = 12876</math>
 
The adjusted time <math>A_{eli} = T_{all} / D_h = (3600 + 3254 + 8370 + 12876) / 196.2 = 143.2</math>
 
The overall time is <math>143.2 * 3333 / 3600 = 133 \text{ hours}.</math>
 
Overall, you want to put as much DR and Melee defence as possible when maintaining the 20k accuracy. For instance, if you have {{SkillReq|Magic|93}} with the build above, you can swap {{ItemIcon|Enchanted Cape}} with {{ItemIcon|Fire Cape}} and reduce the food consumption even further.
 
As you see, the rune mining and crafting take the bulk of the time, so you might want to use all preservation and doubling bonuses that you have.
 
===After-Glacia magic===
 
{| class="wikitable"
|-
! Item
! DR
|-
| {{ItemIcon|Glacia God Helmet}}
| 8%
|-
| {{ItemIcon|Glacia God Platebody}}
| 8%
|-
| {{ItemIcon|Glacia God Platelegs}}
| 8%
|-
| {{ItemIcon|Glacia God Boots}}
| 8%
|-
| {{ItemIcon|Glacia God Gloves}}
| 8%
|-
| {{ItemIcon|Miolite Shield}}
| 2%
|-
| {{ItemIcon|Infernal Cape}}
| 4%
|-
| {{ItemIcon|Elite Amulet of Magic}}
| 2%
|-
| {{ItemIcon|Magic Wand (Powerful)}}
| 0%
|-
| Total
| 48%
|}
 
The levels are the same as in the Volcanic build. Due to Ancient Magic not benefiting from gear, the build was aimed to cram as much DR and melee evasion as possible. If you have {{SkillReq|Magic|95}}, you should be able to swap for {{ItemIcon|Elite Amulet of Defence}} while still having the required 20k accuracy.
 
The simulation results are:
* 4905 {{ItemIcon|Ancient Rune|Ancient runes}} spent,
* 47.7 {{ItemIcon|Whale (Perfect)|whales}} per hour,
* 196.2 Pegasi per hour.
 
As the number of runes is the same, <math>T_m = 8370.</math> <math>T_r = 12876.</math>
 
<math>T_c = 47.7 * 18.875 = 900.3</math>
 
The adjusted time <math>A_{glacia} = T_{all} / D_h = (3600 + 900.3 + 8370 + 12876) / 196.2 = 131.2</math>
 
The overall time is <math>131.2 * 3333 / 3600 = 121.5 \text{ hours}.</math>
 
===Analysis===
Let's consider the post-Ship and post-Glacia builds.
 
The difference between them is roughly 27 hours.
 
However, if we leave the Volcano with {{ItemIcon|Sunset Rapier}}, its clear time would take longer, making the grind to the full {{ItemIcon|(G) Ancient Helmet|ancient}} set longer.
 
The question is then if the difference between the {{ItemIcon|Sunset Rapier|rapier}} and the {{ItemIcon|Ancient Claw|claw}} Volcanic grinds is bigger than 27 hours.
 
Essentially, we compare two strategies:
* Rapier > Claw > Volcano,
* Rapier > Volcano > Claw.
 
We know the length of "Raper > Claw" and "Volcano > Claw" through the post-Ship and post-Glacia builds, but we need the data on "Rapier > Volcano" and "Claw > Volcano".
 
We take this data from [[Volcanic Cave/Guide#Weapon choice]].
 
{| class="wikitable"
|-
! Item
! Clears per hour
|-
| {{ItemIcon|Sunset Rapier}}
| 8.49
|-
| {{ItemIcon|Ancient Claw}}
| 9.23
|}
 
The goal of clearing the {{ZoneIcon|Volcanic Cave}} is to get the {{ItemIcon|(G) Ancient Helmet|ancient}} set.
 
Let's consider the simplified case when we see all four pieces of the set as a single entity with the probability of 2/241 + 4/723 = 10/723, and we need to get this entity four times.
 
The described task is identical to a [https://en.wikipedia.org/wiki/Bernoulli_trial Bernoulli trial] with the probability of success being 10/723.
 
By using a Bernoulli calculator such as [https://stattrek.com/online-calculator/binomial.aspx this one], entering probability of success on a single trial (10/723), number of trials, and number of successes (4), we tweak the number of trials until the cumulative probability <math>P(X \geq x)</math> that number of successes is at least equal to desired is as large as we want. For this trial, the cumulative threshold was set to 80%.
 
The number of trials that gave this probability is 400, meaning that it will take more than 400 clears of {{ZoneIcon|Volcanic Cave}} to get a full set of Ancient armor.
 
The results are:
{| class="wikitable"
|-
! Item
! Clears per hour
! Volcanic timing
|-
| {{ItemIcon|Sunset Rapier}}
| 8.49
| 47.1h
|-
| {{ItemIcon|Ancient Claw}}
| 9.23
| 43.4h
|}
 
However, the initial simplification of pooling four items into one doesn't account for repeat drops, which is a large part of the 4-item group. The solution to this problem is hardly analytical and usually done by simulation. When the simulation is programmed and run, the results will be on this page. The current anecdotal number is 600.
 
Without the food, the results are the following.
{| class="wikitable"
|-
! Item
! Clears per hour
! Volcanic timing
|-
| {{ItemIcon|Sunset Rapier}}
| 8.49
| 70.7h
|-
| {{ItemIcon|Ancient Claw}}
| 9.23
| 65h
|}
 
As the food preparation is important to calculate the adjusted clear time, no definite resolution is given on the question on when to farm the claw.

Latest revision as of 15:19, 19 June 2024

Introduction

Ancient Claw is a melee weapon that does not require late-basegame content to obtain. It is also a component for Infernal Claw.

The Ancient Claw is assembled from the fragments that drop only from Pegasus. On average, 3,333 Pegasi kills are required in order to obtain enough fragments.

The question is when to farm it and what combat style is the best for that. The main point of contention is whether to farm it before or after the

Error creating thumbnail: File missing
Volcanic Cave

, as this dungeon is farmed with a

Error creating thumbnail: File missing
Melee

build and is vital for idling the

Error creating thumbnail: File missing
Air God Dungeon

.

To answer these questions, the following builds will be considered:

These builds were chosen to show the changes that the various drops bring into farming Pegasus.

Error creating thumbnail: File missing
Ranged

builds were not considered because the Pegasus is

Error creating thumbnail: File missing
Melee

and has the highest evasion against Ranged in addition to the Combat Triangle.

Builds

Each build assumes the following:

  • The ring slot is always occupied with Magical Ring.
  • Error creating thumbnail: File missing
    Auto Eat - Tier III
    is used.
  • Whale (Perfect) is used as the Food of choice because it is considered a middle ground between starting out and being fully levelled in
    Error creating thumbnail: File missing
    Firemaking
    ,
    Error creating thumbnail: File missing
    Fishing
    ,
    Error creating thumbnail: File missing
    Farming
    , and
    Error creating thumbnail: File missing
    Cooking
    .
  • The character is on the
    Error creating thumbnail: File missing
    Hardcore
    game mode with all Combat skills at level 60. This means all builds presented here are suitable regardless of the game mode being played.

Skill levels are given so that these simulations may be replicated using the Combat Simulator add-in.


Fire Wave Magic

Combat stats around level 60.

Spell:

Error creating thumbnail: File missing
Fire Wave


Prayers:

Error creating thumbnail: File missing
Mystic Lore

and

Error creating thumbnail: File missing
Mystic Might


Point of Interest: The Academia Arcanum

The average time to obtain all 100 Ancient Claw Fragments with this build is approximately 30 hours. However, note that without Slayer gear this increases to 33 hours.

Sunset Rapier Melee

Combat stats around level 70.

Prayers:

Error creating thumbnail: File missing
Chivalry

and

Error creating thumbnail: File missing
Incredible Reflexes


Point of Interest: Dark Waters

The grind time with this build is approximately 24 hours. Without Slayer gear, this time increases to 26 hours.

Slicing Winds Magic

Combat stats around level 75.

Spell:

Error creating thumbnail: File missing
Slicing Winds


Aurora:

Error creating thumbnail: File missing
Surge II


Prayers:

Error creating thumbnail: File missing
Mystic Might

and

Error creating thumbnail: File missing
Mystic Mastery


Point of Interest: The Academia Arcanum

Reaching at least 20,000 accuracy is key for this build, as this prevents

Error creating thumbnail: File missing
Slicing Winds

from missing. Therefore, while the build only requires a minimum of

Error creating thumbnail: File missing
Level 72

, and at most

Error creating thumbnail: File missing
Level 93

or multiple accuracy bonuses from sources such as:

Worth noting that using a Mystic Air Staff will drastically reduce the amount of runes spent - especially while using Surge Auroras. The staff will be slower, and will require more Food due to the player taking a greater number of hits.

Warning: Swapping Miolite Shield for Book of Eli will not significantly reduce kill times, while also forcing you to spend more runes and therefore more time Runecrafting.

The grind time with this build is approximately 11 hours. Slayer equipment has no impact on the clear speed in this case.

Glacia Magic

Combat stats around level 85.

Spell:

Error creating thumbnail: File missing
Water Surge


Curse:

Error creating thumbnail: File missing
Anguish III


Aurora:

Error creating thumbnail: File missing
Surge II


Prayers:

Error creating thumbnail: File missing
Mystic Might

and

Error creating thumbnail: File missing
Mystic Mastery


Point of Interest: The Academia Arcanum

Summons:

Error creating thumbnail: File missing
Dragon

and

Error creating thumbnail: File missing
Witch

Increase the kills per hour by about 1, shortening your grind by 20 minutes if you have

Error creating thumbnail: File missing
Dragon

unlocked.

The grind time with this build is approximately 5.5 hours.

However, this build implies that the

Error creating thumbnail: File missing
Air God Dungeon

would need to be cleared with Sunset Rapier.