Average Error: 0.1 → 0.1
Time: 2.2m
Precision: 64
\[0 \lt m \land 0 \lt v \land v \lt 0.25\]
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)\]
↓
\[\left(1 - m\right) \cdot \left(\frac{m}{\frac{v}{1 - m}} - 1\right)\]
\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)
↓
\left(1 - m\right) \cdot \left(\frac{m}{\frac{v}{1 - m}} - 1\right)
double f(double m, double v) {
        double r11235351 = m;
        double r11235352 = 1.0;
        double r11235353 = r11235352 - r11235351;
        double r11235354 = r11235351 * r11235353;
        double r11235355 = v;
        double r11235356 = r11235354 / r11235355;
        double r11235357 = r11235356 - r11235352;
        double r11235358 = r11235357 * r11235353;
        return r11235358;
}
↓
double f(double m, double v) {
        double r11235359 = 1.0;
        double r11235360 = m;
        double r11235361 = r11235359 - r11235360;
        double r11235362 = v;
        double r11235363 = r11235362 / r11235361;
        double r11235364 = r11235360 / r11235363;
        double r11235365 = r11235364 - r11235359;
        double r11235366 = r11235361 * r11235365;
        return r11235366;
}

Error

Bits error versus m

Bits error versus v

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)\]
  2. Using strategy rm

  3. Applied associate-/l*0.1

    \[\leadsto \left(\color{blue}{\frac{m}{\frac{v}{1 - m}}} - 1\right) \cdot \left(1 - m\right)\]

  4. Final simplification0.1

    \[\leadsto \left(1 - m\right) \cdot \left(\frac{m}{\frac{v}{1 - m}} - 1\right)\]

Reproduce

herbie shell --seed 2019124 
(FPCore (m v)
  :name "b parameter of renormalized beta distribution"
  :pre (and (< 0 m) (< 0 v) (< v 0.25))
  (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)))