Average Error: 0.1 → 0.1
Time: 1.9m
Precision: 64
\[0 \lt m \land 0 \lt v \land v \lt 0.25\]
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(1 - m\right)\]
↓
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot \left(-m\right) + \left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right)\]
\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(-m\right) + \left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right)
double f(double m, double v) {
        double r6821377 = m;
        double r6821378 = 1.0;
        double r6821379 = r6821378 - r6821377;
        double r6821380 = r6821377 * r6821379;
        double r6821381 = v;
        double r6821382 = r6821380 / r6821381;
        double r6821383 = r6821382 - r6821378;
        double r6821384 = r6821383 * r6821379;
        return r6821384;
}
↓
double f(double m, double v) {
        double r6821385 = m;
        double r6821386 = 1.0;
        double r6821387 = r6821386 - r6821385;
        double r6821388 = r6821385 * r6821387;
        double r6821389 = v;
        double r6821390 = r6821388 / r6821389;
        double r6821391 = r6821390 - r6821386;
        double r6821392 = -r6821385;
        double r6821393 = r6821391 * r6821392;
        double r6821394 = r6821393 + r6821391;
        return r6821394;
}

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 sub-neg0.1

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

  4. Applied distribute-lft-in0.1

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

  5. Final simplification0.1

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

Reproduce

herbie shell --seed 2019125 
(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)))