Average Error: 0.1 → 0.1
Time: 17.0s
Precision: 64
\[x \cdot 0.5 + y \cdot \left(\left(1 - z\right) + \log z\right)\]
↓
\[x \cdot 0.5 + y \cdot \left(\left(1 - z\right) + \log z\right)\]
x \cdot 0.5 + y \cdot \left(\left(1 - z\right) + \log z\right)
↓
x \cdot 0.5 + y \cdot \left(\left(1 - z\right) + \log z\right)
double f(double x, double y, double z) {
        double r166692 = x;
        double r166693 = 0.5;
        double r166694 = r166692 * r166693;
        double r166695 = y;
        double r166696 = 1.0;
        double r166697 = z;
        double r166698 = r166696 - r166697;
        double r166699 = log(r166697);
        double r166700 = r166698 + r166699;
        double r166701 = r166695 * r166700;
        double r166702 = r166694 + r166701;
        return r166702;
}
↓
double f(double x, double y, double z) {
        double r166703 = x;
        double r166704 = 0.5;
        double r166705 = r166703 * r166704;
        double r166706 = y;
        double r166707 = 1.0;
        double r166708 = z;
        double r166709 = r166707 - r166708;
        double r166710 = log(r166708);
        double r166711 = r166709 + r166710;
        double r166712 = r166706 * r166711;
        double r166713 = r166705 + r166712;
        return r166713;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.1
Target0.1
Herbie0.1
\[\left(y + 0.5 \cdot x\right) - y \cdot \left(z - \log z\right)\]

Derivation

  1. Initial program 0.1

    \[x \cdot 0.5 + y \cdot \left(\left(1 - z\right) + \log z\right)\]

  2. Final simplification0.1

    \[\leadsto x \cdot 0.5 + y \cdot \left(\left(1 - z\right) + \log z\right)\]

Reproduce

herbie shell --seed 2019304 
(FPCore (x y z)
  :name "System.Random.MWC.Distributions:gamma from mwc-random-0.13.3.2"
  :precision binary64

  :herbie-target
  (- (+ y (* 0.5 x)) (* y (- z (log z))))

  (+ (* x 0.5) (* y (+ (- 1 z) (log z)))))