Average Error: 0.1 → 0.1
Time: 21.1s
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 r63091 = m;
        double r63092 = 1.0;
        double r63093 = r63092 - r63091;
        double r63094 = r63091 * r63093;
        double r63095 = v;
        double r63096 = r63094 / r63095;
        double r63097 = r63096 - r63092;
        double r63098 = r63097 * r63093;
        return r63098;
}
↓
double f(double m, double v) {
        double r63099 = m;
        double r63100 = 1.0;
        double r63101 = r63100 - r63099;
        double r63102 = r63099 * r63101;
        double r63103 = v;
        double r63104 = r63102 / r63103;
        double r63105 = r63104 - r63100;
        double r63106 = r63105 * r63101;
        return r63106;
}

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 2019195 +o rules:numerics
(FPCore (m v)
  :name "b parameter of renormalized beta distribution"
  :pre (and (< 0.0 m) (< 0.0 v) (< v 0.25))
  (* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m)))