Average Error: 0.2 → 0.2
Time: 31.7s
Precision: 64
\[0.0 \lt m \land 0.0 \lt v \land v \lt 0.25\]
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m\]
↓
\[\left(\frac{m}{\frac{v}{1 - m}} - 1\right) \cdot m\]
\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m
↓
\left(\frac{m}{\frac{v}{1 - m}} - 1\right) \cdot m
double f(double m, double v) {
        double r1477211 = m;
        double r1477212 = 1.0;
        double r1477213 = r1477212 - r1477211;
        double r1477214 = r1477211 * r1477213;
        double r1477215 = v;
        double r1477216 = r1477214 / r1477215;
        double r1477217 = r1477216 - r1477212;
        double r1477218 = r1477217 * r1477211;
        return r1477218;
}
↓
double f(double m, double v) {
        double r1477219 = m;
        double r1477220 = v;
        double r1477221 = 1.0;
        double r1477222 = r1477221 - r1477219;
        double r1477223 = r1477220 / r1477222;
        double r1477224 = r1477219 / r1477223;
        double r1477225 = r1477224 - r1477221;
        double r1477226 = r1477225 * r1477219;
        return r1477226;
}

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. Using strategy rm

  3. Applied associate-/l*0.2

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

  4. Final simplification0.2

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

Reproduce

herbie shell --seed 2019200 
(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))