How do Scavenger earnings work?

[Mixxiphoid]

I put Scavenger to x10000 on Gamma to upgrade my attack speed. Reward is displayed as +3.13K% and my Effect Gain says my current Attack Speed is +4.82K%. In my mind, completing this reward one time should set my Attack Speed to +7.95K%. Instead it sets it to +4.83K%.

What is going on here? Is this just a display issue, or am I being scammed? Does this also mean the other rewards aren't as good as they appear?

[Goober]

There is a diminishing return on attack speed, +600,000,000% only gave +45,000% at 30,000%.

[Mixxiphoid]

Originally posted by Goober | T.I.D.K:

There is a diminishing return on attack speed, +600,000,000% only gave +45,000% at 30,000%.

That is good to know. It would be nice if that was properly reflected in the rewards.
Can I assume, this goes for both Attack Speed and Rare Drop Rate only?

[Mordtziel]

Originally posted by Mixxiphoid:

Originally posted by Goober | T.I.D.K:

There is a diminishing return on attack speed, +600,000,000% only gave +45,000% at 30,000%.

That is good to know. It would be nice if that was properly reflected in the rewards.
Can I assume, this goes for both Attack Speed and Rare Drop Rate only?

Almost everything other than the combat stats has some form of diminishing return.

EDIT: Maybe it'll be easier like this...

No Diminishing Return

ATK
ATK%
ATK2%
HP
HP%
HP2%
DEF
DEF%
DEF2%
Regenerate
Crit Rate
Crit Damage%
S-Crit Damage%
Math Skill*
Math Skill2*

*: Note the effect these amounts are related to have diminishing returns (Enemy Growth Reduction), but there is no diminishing return on acquiring these.

Diminishing Returns

Attack Speed%
Attack Speed2
Attack Speed3%
Rare Drop Rate%
Rare Drop Rate2%
Enemy Growth Reduction%
Spiral Equation Speed%
Study Progress
Loot Progress Multiplier%
Debuff Effect of Fibanomnom%

[Goober]

Originally posted by Mordtziel:

Originally posted by Mixxiphoid:

That is good to know. It would be nice if that was properly reflected in the rewards.
Can I assume, this goes for both Attack Speed and Rare Drop Rate only?

Almost everything other than the combat stats has some form of diminishing return.

EDIT: Maybe it'll be easier like this...

No Diminishing Return

ATK
ATK%
ATK2%
HP
HP%
HP2%
DEF
DEF%
DEF2%
Regenerate
Crit Rate
Crit Damage%
S-Crit Damage%
Math Skill*
Math Skill2*

*: Note the effect these amounts are related to have diminishing returns (Enemy Growth Reduction), but there is no diminishing return on acquiring these.

Diminishing Returns

Attack Speed%
Attack Speed2
Attack Speed3%
Rare Drop Rate%
Rare Drop Rate2%
Enemy Growth Reduction%
Spiral Equation Speed%
Study Progress
Loot Progress Multiplier%
Debuff Effect of Fibanomnom%

Attack Speed's DR is 300% + cbrt(x%)
RDR has a 10x DR at 50%, another at 75, and one more at 100 to sum to 1,000x.
Debuff of Fiba happens over 30% and gets progressively stronger until 80% where it gets hardcapped.
Those are all i remember/know about.

[Porky Minch]

Are formulas for all those diminishing returns known?

Originally posted by Goober | T.I.D.K:

Attack Speed's DR is 300% + cbrt(x%)
RDR has a 10x DR at 50%, another at 75, and one more at 100 to sum to 1,000x.

I don't really understand these, but I remember seeing formulas in a different thread for AS1 and AS2. I mainly want to know the formula for AS3 but the other things I'd like to know also.

[Mordtziel]

I don't know them all and I'm assuming they haven't changed in recent patches...

Attack Speed% at 400% or more

Root3(17.5 * Reward + 55)

Attack Speed2 at 1 or more

2 + ln{1 + 1.02 * [1.05 * Root2(Loot) - 1] }

Attack Speed3% Not sure, seems like it immediately dropped by 5-10x after 300%.
Rare Drop Rate2% not sure when it started.
Enemy Growth Reduction% has different caps for Math Skill and Math Skill2. Each one caps at 90% each for a total of 99%.
Spiral Equation Speed% starting at 300%

4 + Log(Reward-2)

Study Progress starting at 9

9 + Log(Reward - 8)

Loot Progress Multiplier% at 800%

9 + Log(Difficulty/10,000 - 7)

Debuff Effect of Fibanomnom% starts at 30% and caps at 80%

[Porky Minch]

Seems I've passed all of the hard barriers then.
LPM is interesting, does that mean pushing difficulty as high as you reasonably can is the most efficient way to farm it?
Also what exactly is are "Reward" and "Loot"? Aren't they supposed to be outputs of their equations not inputs?

[Mordtziel]

I'm not 100% certain on LPM. It's what Twilight posted a while back.

Reward is the total reward of that type you've earned and loot is the total loot you've earned of that type. We see the post-diminishing return amount in the effect gain section. These equations give you that post-diminishing return amount.

[Slartibartfast]

The law of diminishing returns states every order and new magnitude means the returns take that much longer to reach the next order or magnitude. So everything diminishes. They attempt to scale but that is the bases for all idle games