Average Error: 0.1 → 0.1
Time: 4.8s
Precision: 64
\[x \cdot 0.5 + y \cdot \left(\left(1 - z\right) + \log z\right)\]
↓
\[x \cdot 0.5 + \left(y \cdot \left(1 - z\right) + y \cdot \log z\right)\]
x \cdot 0.5 + y \cdot \left(\left(1 - z\right) + \log z\right)
↓
x \cdot 0.5 + \left(y \cdot \left(1 - z\right) + y \cdot \log z\right)
double f(double x, double y, double z) {
        double r366704 = x;
        double r366705 = 0.5;
        double r366706 = r366704 * r366705;
        double r366707 = y;
        double r366708 = 1.0;
        double r366709 = z;
        double r366710 = r366708 - r366709;
        double r366711 = log(r366709);
        double r366712 = r366710 + r366711;
        double r366713 = r366707 * r366712;
        double r366714 = r366706 + r366713;
        return r366714;
}
↓
double f(double x, double y, double z) {
        double r366715 = x;
        double r366716 = 0.5;
        double r366717 = r366715 * r366716;
        double r366718 = y;
        double r366719 = 1.0;
        double r366720 = z;
        double r366721 = r366719 - r366720;
        double r366722 = r366718 * r366721;
        double r366723 = log(r366720);
        double r366724 = r366718 * r366723;
        double r366725 = r366722 + r366724;
        double r366726 = r366717 + r366725;
        return r366726;
}

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. Using strategy rm

  3. Applied distribute-lft-in0.1

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

  4. Final simplification0.1

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

Reproduce

herbie shell --seed 2020047 
(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)))))