Average Error: 0.2 → 0.2
Time: 5.0s
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 r17377 = m;
        double r17378 = 1.0;
        double r17379 = r17378 - r17377;
        double r17380 = r17377 * r17379;
        double r17381 = v;
        double r17382 = r17380 / r17381;
        double r17383 = r17382 - r17378;
        double r17384 = r17383 * r17377;
        return r17384;
}
↓
double f(double m, double v) {
        double r17385 = m;
        double r17386 = 1.0;
        double r17387 = r17386 - r17385;
        double r17388 = r17385 * r17387;
        double r17389 = v;
        double r17390 = r17388 / r17389;
        double r17391 = r17390 - r17386;
        double r17392 = r17391 * r17385;
        return r17392;
}

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 2020081 +o rules:numerics
(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))