Average Error: 0.1 → 0.1
Time: 16.1s
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 r749496 = m;
        double r749497 = 1.0;
        double r749498 = r749497 - r749496;
        double r749499 = r749496 * r749498;
        double r749500 = v;
        double r749501 = r749499 / r749500;
        double r749502 = r749501 - r749497;
        double r749503 = r749502 * r749498;
        return r749503;
}
↓
double f(double m, double v) {
        double r749504 = 1.0;
        double r749505 = m;
        double r749506 = r749504 - r749505;
        double r749507 = v;
        double r749508 = r749507 / r749506;
        double r749509 = r749505 / r749508;
        double r749510 = r749509 - r749504;
        double r749511 = r749506 * r749510;
        return r749511;
}

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 2019130 
(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)))