Average Error: 0.1 → 0.1
Time: 20.0s
Precision: 64
\[0 \lt m \land 0 \lt v \land v \lt 0.25\]
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)\]
↓
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(-m\right) + \left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right)\]
\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)
↓
\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(-m\right) + \left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right)
double f(double m, double v) {
        double r1229485 = m;
        double r1229486 = 1.0;
        double r1229487 = r1229486 - r1229485;
        double r1229488 = r1229485 * r1229487;
        double r1229489 = v;
        double r1229490 = r1229488 / r1229489;
        double r1229491 = r1229490 - r1229486;
        double r1229492 = r1229491 * r1229487;
        return r1229492;
}
↓
double f(double m, double v) {
        double r1229493 = m;
        double r1229494 = 1.0;
        double r1229495 = r1229494 - r1229493;
        double r1229496 = r1229493 * r1229495;
        double r1229497 = v;
        double r1229498 = r1229496 / r1229497;
        double r1229499 = r1229498 - r1229494;
        double r1229500 = -r1229493;
        double r1229501 = r1229499 * r1229500;
        double r1229502 = r1229501 + r1229499;
        return r1229502;
}

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 sub-neg0.1

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

  4. Applied distribute-lft-in0.1

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

  5. Final simplification0.1

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

Reproduce

herbie shell --seed 2019134 
(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)))