Average Error: 0.2 → 0.2
Time: 16.3s
Precision: 64
\[0.0 \lt m \land 0.0 \lt v \land v \lt 0.25\]
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m\]
↓
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m\]
\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m
↓
\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m
double f(double m, double v) {
        double r23357 = m;
        double r23358 = 1.0;
        double r23359 = r23358 - r23357;
        double r23360 = r23357 * r23359;
        double r23361 = v;
        double r23362 = r23360 / r23361;
        double r23363 = r23362 - r23358;
        double r23364 = r23363 * r23357;
        return r23364;
}
↓
double f(double m, double v) {
        double r23365 = m;
        double r23366 = 1.0;
        double r23367 = r23366 - r23365;
        double r23368 = r23365 * r23367;
        double r23369 = v;
        double r23370 = r23368 / r23369;
        double r23371 = r23370 - r23366;
        double r23372 = r23371 * r23365;
        return r23372;
}

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

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

Reproduce

herbie shell --seed 2019298 
(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))