Average Error: 0.1 → 0.1
Time: 3.7s
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 r8528 = m;
        double r8529 = 1.0;
        double r8530 = r8529 - r8528;
        double r8531 = r8528 * r8530;
        double r8532 = v;
        double r8533 = r8531 / r8532;
        double r8534 = r8533 - r8529;
        double r8535 = r8534 * r8530;
        return r8535;
}
↓
double f(double m, double v) {
        double r8536 = m;
        double r8537 = 1.0;
        double r8538 = r8537 - r8536;
        double r8539 = r8536 * r8538;
        double r8540 = v;
        double r8541 = r8539 / r8540;
        double r8542 = r8541 - r8537;
        double r8543 = r8542 * r8538;
        return r8543;
}

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 2019353 
(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)))