Average Error: 0.1 → 0.1
Time: 25.0s
Precision: 64
\[0.0 \lt m \land 0.0 \lt v \land v \lt 0.25\]
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)\]
↓
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)\]
\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)
↓
\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)
double f(double m, double v) {
        double r2792992 = m;
        double r2792993 = 1.0;
        double r2792994 = r2792993 - r2792992;
        double r2792995 = r2792992 * r2792994;
        double r2792996 = v;
        double r2792997 = r2792995 / r2792996;
        double r2792998 = r2792997 - r2792993;
        double r2792999 = r2792998 * r2792994;
        return r2792999;
}
↓
double f(double m, double v) {
        double r2793000 = m;
        double r2793001 = 1.0;
        double r2793002 = r2793001 - r2793000;
        double r2793003 = r2793000 * r2793002;
        double r2793004 = v;
        double r2793005 = r2793003 / r2793004;
        double r2793006 = r2793005 - r2793001;
        double r2793007 = r2793006 * r2793002;
        return r2793007;
}

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 0.1

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

  2. Final simplification0.1

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

Reproduce

herbie shell --seed 2019173 +o rules:numerics
(FPCore (m v)
  :name "b parameter of renormalized beta distribution"
  :pre (and (< 0.0 m) (< 0.0 v) (< v 0.25))
  (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)))