Average Error: 0.2 → 0.2
Time: 15.6s
Precision: 64
\[0 \lt m \land 0 \lt v \land v \lt 0.25\]
\[\left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right) \cdot m\]
↓
\[m \cdot \left(\frac{m \cdot \left(1 - m\right)}{v} - 1\right)\]
\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 r411091 = m;
        double r411092 = 1.0;
        double r411093 = r411092 - r411091;
        double r411094 = r411091 * r411093;
        double r411095 = v;
        double r411096 = r411094 / r411095;
        double r411097 = r411096 - r411092;
        double r411098 = r411097 * r411091;
        return r411098;
}
↓
double f(double m, double v) {
        double r411099 = m;
        double r411100 = 1.0;
        double r411101 = r411100 - r411099;
        double r411102 = r411099 * r411101;
        double r411103 = v;
        double r411104 = r411102 / r411103;
        double r411105 = r411104 - r411100;
        double r411106 = r411099 * r411105;
        return r411106;
}

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 2019152 
(FPCore (m v)
  :name "a parameter of renormalized beta distribution"
  :pre (and (< 0 m) (< 0 v) (< v 0.25))
  (* (- (/ (* m (- 1 m)) v) 1) m))