Average Error: 0.1 → 0.1
Time: 20.1s
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 r877406 = m;
        double r877407 = 1.0;
        double r877408 = r877407 - r877406;
        double r877409 = r877406 * r877408;
        double r877410 = v;
        double r877411 = r877409 / r877410;
        double r877412 = r877411 - r877407;
        double r877413 = r877412 * r877408;
        return r877413;
}
↓
double f(double m, double v) {
        double r877414 = m;
        double r877415 = 1.0;
        double r877416 = r877415 - r877414;
        double r877417 = r877414 * r877416;
        double r877418 = v;
        double r877419 = r877417 / r877418;
        double r877420 = r877419 - r877415;
        double r877421 = r877420 * r877416;
        return r877421;
}

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 2019164 +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)))