Average Error: 0.1 → 0.1
Time: 4.9s
Precision: 64
\[0.0 \lt m \land 0.0 \lt v \land v \lt 0.25\]
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)\]
↓
\[\left(\frac{m}{\frac{v}{1 - m}} - 1\right) \cdot \left(1 - m\right)\]
\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)
↓
\left(\frac{m}{\frac{v}{1 - m}} - 1\right) \cdot \left(1 - m\right)
double f(double m, double v) {
        double r18447 = m;
        double r18448 = 1.0;
        double r18449 = r18448 - r18447;
        double r18450 = r18447 * r18449;
        double r18451 = v;
        double r18452 = r18450 / r18451;
        double r18453 = r18452 - r18448;
        double r18454 = r18453 * r18449;
        return r18454;
}
↓
double f(double m, double v) {
        double r18455 = m;
        double r18456 = v;
        double r18457 = 1.0;
        double r18458 = r18457 - r18455;
        double r18459 = r18456 / r18458;
        double r18460 = r18455 / r18459;
        double r18461 = r18460 - r18457;
        double r18462 = r18461 * r18458;
        return r18462;
}

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

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

Reproduce

herbie shell --seed 2020057 
(FPCore (m v)
  :name "b parameter of renormalized beta distribution"
  :precision binary64
  :pre (and (< 0.0 m) (< 0.0 v) (< v 0.25))
  (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)))