Average Error: 0.2 → 0.2
Time: 5.5s
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 r14270 = m;
        double r14271 = 1.0;
        double r14272 = r14271 - r14270;
        double r14273 = r14270 * r14272;
        double r14274 = v;
        double r14275 = r14273 / r14274;
        double r14276 = r14275 - r14271;
        double r14277 = r14276 * r14270;
        return r14277;
}
↓
double f(double m, double v) {
        double r14278 = m;
        double r14279 = v;
        double r14280 = 1.0;
        double r14281 = r14280 - r14278;
        double r14282 = r14279 / r14281;
        double r14283 = r14278 / r14282;
        double r14284 = r14283 - r14280;
        double r14285 = r14284 * r14278;
        return r14285;
}

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 2020036 +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))