Average Error: 0.1 → 0.1
Time: 23.3s
Precision: 64
\[0 \lt m \land 0 \lt v \land v \lt 0.25\]
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)\]
↓
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)\]
\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 r934396 = m;
        double r934397 = 1.0;
        double r934398 = r934397 - r934396;
        double r934399 = r934396 * r934398;
        double r934400 = v;
        double r934401 = r934399 / r934400;
        double r934402 = r934401 - r934397;
        double r934403 = r934402 * r934398;
        return r934403;
}
↓
double f(double m, double v) {
        double r934404 = m;
        double r934405 = 1.0;
        double r934406 = r934405 - r934404;
        double r934407 = r934404 * r934406;
        double r934408 = v;
        double r934409 = r934407 / r934408;
        double r934410 = r934409 - r934405;
        double r934411 = r934410 * r934406;
        return r934411;
}

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 2019163 +o rules:numerics
(FPCore (m v)
  :name "b parameter of renormalized beta distribution"
  :pre (and (< 0 m) (< 0 v) (< v 0.25))
  (* (- (/ (* m (- 1 m)) v) 1) (- 1 m)))