Average Error: 0.2 → 0.2
Time: 20.4s
Precision: 64
\[0.0 \lt m \land 0.0 \lt v \land v \lt 0.25\]
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m\]
↓
\[\left(\frac{m \cdot 1 - m \cdot m}{v} - 1\right) \cdot m\]
\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m
↓
\left(\frac{m \cdot 1 - m \cdot m}{v} - 1\right) \cdot m
double f(double m, double v) {
        double r1147296 = m;
        double r1147297 = 1.0;
        double r1147298 = r1147297 - r1147296;
        double r1147299 = r1147296 * r1147298;
        double r1147300 = v;
        double r1147301 = r1147299 / r1147300;
        double r1147302 = r1147301 - r1147297;
        double r1147303 = r1147302 * r1147296;
        return r1147303;
}
↓
double f(double m, double v) {
        double r1147304 = m;
        double r1147305 = 1.0;
        double r1147306 = r1147304 * r1147305;
        double r1147307 = r1147304 * r1147304;
        double r1147308 = r1147306 - r1147307;
        double r1147309 = v;
        double r1147310 = r1147308 / r1147309;
        double r1147311 = r1147310 - r1147305;
        double r1147312 = r1147311 * r1147304;
        return r1147312;
}

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. Taylor expanded around 0 0.2

    \[\leadsto \left(\frac{\color{blue}{1 \cdot m - {m}^{2}}}{v} - 1\right) \cdot m\]

  3. Simplified0.2

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

  4. Final simplification0.2

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

Reproduce

herbie shell --seed 2019172 
(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))