Average Error: 0.1 → 0.1
Time: 13.7s
Precision: 64
\[0.0 \lt m \land 0.0 \lt v \land v \lt 0.25\]
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)\]
↓
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)\]
\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)
↓
\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)
double f(double m, double v) {
        double r23239 = m;
        double r23240 = 1.0;
        double r23241 = r23240 - r23239;
        double r23242 = r23239 * r23241;
        double r23243 = v;
        double r23244 = r23242 / r23243;
        double r23245 = r23244 - r23240;
        double r23246 = r23245 * r23241;
        return r23246;
}
↓
double f(double m, double v) {
        double r23247 = m;
        double r23248 = 1.0;
        double r23249 = r23248 - r23247;
        double r23250 = r23247 * r23249;
        double r23251 = v;
        double r23252 = r23250 / r23251;
        double r23253 = r23252 - r23248;
        double r23254 = r23253 * r23249;
        return r23254;
}

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. Final simplification0.1

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

Reproduce

herbie shell --seed 2020043 
(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)))