Average Error: 0.2 → 0.2
Time: 3.7s
Precision: 64
\[0.0 \lt m \land 0.0 \lt v \land v \lt 0.25\]
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m\]
↓
\[\left(\frac{m}{\frac{v}{1 - m}} - 1\right) \cdot m\]
\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m
↓
\left(\frac{m}{\frac{v}{1 - m}} - 1\right) \cdot m
double f(double m, double v) {
        double r8985 = m;
        double r8986 = 1.0;
        double r8987 = r8986 - r8985;
        double r8988 = r8985 * r8987;
        double r8989 = v;
        double r8990 = r8988 / r8989;
        double r8991 = r8990 - r8986;
        double r8992 = r8991 * r8985;
        return r8992;
}
↓
double f(double m, double v) {
        double r8993 = m;
        double r8994 = v;
        double r8995 = 1.0;
        double r8996 = r8995 - r8993;
        double r8997 = r8994 / r8996;
        double r8998 = r8993 / r8997;
        double r8999 = r8998 - r8995;
        double r9000 = r8999 * r8993;
        return r9000;
}

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 0.2

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

  3. Applied associate-/l*0.2

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

  4. Final simplification0.2

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

Reproduce

herbie shell --seed 2020036 
(FPCore (m v)
  :name "a parameter of renormalized beta distribution"
  :precision binary64
  :pre (and (< 0.0 m) (< 0.0 v) (< v 0.25))
  (* (- (/ (* m (- 1 m)) v) 1) m))