Average Error: 0.2 → 0.2
Time: 18.1s
Precision: 64
\[0.0 \lt m \land 0.0 \lt v \land v \lt 0.25\]
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m\]
↓
\[m \cdot \left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right)\]
\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 r1132268 = m;
        double r1132269 = 1.0;
        double r1132270 = r1132269 - r1132268;
        double r1132271 = r1132268 * r1132270;
        double r1132272 = v;
        double r1132273 = r1132271 / r1132272;
        double r1132274 = r1132273 - r1132269;
        double r1132275 = r1132274 * r1132268;
        return r1132275;
}
↓
double f(double m, double v) {
        double r1132276 = m;
        double r1132277 = 1.0;
        double r1132278 = r1132277 - r1132276;
        double r1132279 = r1132276 * r1132278;
        double r1132280 = v;
        double r1132281 = r1132279 / r1132280;
        double r1132282 = r1132281 - r1132277;
        double r1132283 = r1132276 * r1132282;
        return r1132283;
}

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 2019170 
(FPCore (m v)
  :name "a parameter of renormalized beta distribution"
  :pre (and (< 0.0 m) (< 0.0 v) (< v 0.25))
  (* (- (/ (* m (- 1.0 m)) v) 1.0) m))