Average Error: 0.1 → 0.1
Time: 16.3s
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 r29343 = m;
        double r29344 = 1.0;
        double r29345 = r29344 - r29343;
        double r29346 = r29343 * r29345;
        double r29347 = v;
        double r29348 = r29346 / r29347;
        double r29349 = r29348 - r29344;
        double r29350 = r29349 * r29345;
        return r29350;
}
↓
double f(double m, double v) {
        double r29351 = m;
        double r29352 = 1.0;
        double r29353 = r29352 - r29351;
        double r29354 = r29351 * r29353;
        double r29355 = v;
        double r29356 = r29354 / r29355;
        double r29357 = r29356 - r29352;
        double r29358 = r29357 * r29353;
        return r29358;
}

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 2019212 
(FPCore (m v)
  :name "b parameter of renormalized beta distribution"
  :precision binary64
  :pre (and (< 0.0 m) (< 0.0 v) (< v 0.25))
  (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)))