Average Error: 0.1 → 0.1
Time: 21.0s
Precision: 64
\[0.0 \lt m \land 0.0 \lt v \land v \lt 0.25\]
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)\]
↓
\[\left(\frac{m}{\frac{v}{1 - m}} - 1\right) \cdot \left(1 - m\right)\]
\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)
↓
\left(\frac{m}{\frac{v}{1 - m}} - 1\right) \cdot \left(1 - m\right)
double f(double m, double v) {
        double r23433 = m;
        double r23434 = 1.0;
        double r23435 = r23434 - r23433;
        double r23436 = r23433 * r23435;
        double r23437 = v;
        double r23438 = r23436 / r23437;
        double r23439 = r23438 - r23434;
        double r23440 = r23439 * r23435;
        return r23440;
}
↓
double f(double m, double v) {
        double r23441 = m;
        double r23442 = v;
        double r23443 = 1.0;
        double r23444 = r23443 - r23441;
        double r23445 = r23442 / r23444;
        double r23446 = r23441 / r23445;
        double r23447 = r23446 - r23443;
        double r23448 = r23447 * r23444;
        return r23448;
}

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. Using strategy rm

  3. Applied associate-/l*0.1

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

  4. Final simplification0.1

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

Reproduce

herbie shell --seed 2019322 +o rules:numerics
(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)))