Average Error: 0.2 → 0.2
Time: 3.8m
Precision: 64
\[0 \lt m \land 0 \lt v \land v \lt 0.25\]
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m\]
↓
\[m \cdot \left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right)\]
\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m
↓
m \cdot \left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right)
double f(double m, double v) {
        double r7537992 = m;
        double r7537993 = 1.0;
        double r7537994 = r7537993 - r7537992;
        double r7537995 = r7537992 * r7537994;
        double r7537996 = v;
        double r7537997 = r7537995 / r7537996;
        double r7537998 = r7537997 - r7537993;
        double r7537999 = r7537998 * r7537992;
        return r7537999;
}
↓
double f(double m, double v) {
        double r7538000 = m;
        double r7538001 = 1.0;
        double r7538002 = r7538001 - r7538000;
        double r7538003 = r7538000 * r7538002;
        double r7538004 = v;
        double r7538005 = r7538003 / r7538004;
        double r7538006 = r7538005 - r7538001;
        double r7538007 = r7538000 * r7538006;
        return r7538007;
}

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. Final simplification0.2

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

Reproduce

herbie shell --seed 2019125 +o rules:numerics
(FPCore (m v)
  :name "a parameter of renormalized beta distribution"
  :pre (and (< 0 m) (< 0 v) (< v 0.25))
  (* (- (/ (* m (- 1 m)) v) 1) m))