Average Error: 0.2 → 0.2
Time: 16.6s
Precision: 64
\[0.0 \lt m \land 0.0 \lt v \land v \lt 0.25\]
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m\]
↓
\[m \cdot \left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right)\]
\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m
↓
m \cdot \left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right)
double f(double m, double v) {
        double r22074 = m;
        double r22075 = 1.0;
        double r22076 = r22075 - r22074;
        double r22077 = r22074 * r22076;
        double r22078 = v;
        double r22079 = r22077 / r22078;
        double r22080 = r22079 - r22075;
        double r22081 = r22080 * r22074;
        return r22081;
}
↓
double f(double m, double v) {
        double r22082 = m;
        double r22083 = 1.0;
        double r22084 = r22083 - r22082;
        double r22085 = r22082 * r22084;
        double r22086 = v;
        double r22087 = r22085 / r22086;
        double r22088 = r22087 - r22083;
        double r22089 = r22082 * r22088;
        return r22089;
}

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 0.2

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

  2. Final simplification0.2

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

Reproduce

herbie shell --seed 2019179 
(FPCore (m v)
  :name "a parameter of renormalized beta distribution"
  :pre (and (< 0.0 m) (< 0.0 v) (< v 0.25))
  (* (- (/ (* m (- 1.0 m)) v) 1.0) m))