Average Error: 0.2 → 0.2
Time: 4.8s
Precision: 64
\[0.0 \lt m \land 0.0 \lt v \land v \lt 0.25\]
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m\]
↓
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m\]
\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m
↓
\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m
double f(double m, double v) {
        double r19049 = m;
        double r19050 = 1.0;
        double r19051 = r19050 - r19049;
        double r19052 = r19049 * r19051;
        double r19053 = v;
        double r19054 = r19052 / r19053;
        double r19055 = r19054 - r19050;
        double r19056 = r19055 * r19049;
        return r19056;
}
↓
double f(double m, double v) {
        double r19057 = m;
        double r19058 = 1.0;
        double r19059 = r19058 - r19057;
        double r19060 = r19057 * r19059;
        double r19061 = v;
        double r19062 = r19060 / r19061;
        double r19063 = r19062 - r19058;
        double r19064 = r19063 * r19057;
        return r19064;
}

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

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

Reproduce

herbie shell --seed 2020027 
(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))