Average Error: 0.2 → 0.2
Time: 24.2s
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 r18946 = m;
        double r18947 = 1.0;
        double r18948 = r18947 - r18946;
        double r18949 = r18946 * r18948;
        double r18950 = v;
        double r18951 = r18949 / r18950;
        double r18952 = r18951 - r18947;
        double r18953 = r18952 * r18946;
        return r18953;
}
↓
double f(double m, double v) {
        double r18954 = m;
        double r18955 = v;
        double r18956 = 1.0;
        double r18957 = r18956 - r18954;
        double r18958 = r18955 / r18957;
        double r18959 = r18954 / r18958;
        double r18960 = r18959 - r18956;
        double r18961 = r18960 * r18954;
        return r18961;
}

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 2019325 +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))