Average Error: 0.1 → 0.1
Time: 7.4s
Precision: 64
\[x \cdot 0.5 + y \cdot \left(\left(1 - z\right) + \log z\right)\]
↓
\[\left(x \cdot 0.5 + y \cdot \left(1 - z\right)\right) + \log z \cdot y\]
x \cdot 0.5 + y \cdot \left(\left(1 - z\right) + \log z\right)
↓
\left(x \cdot 0.5 + y \cdot \left(1 - z\right)\right) + \log z \cdot y
double f(double x, double y, double z) {
        double r360691 = x;
        double r360692 = 0.5;
        double r360693 = r360691 * r360692;
        double r360694 = y;
        double r360695 = 1.0;
        double r360696 = z;
        double r360697 = r360695 - r360696;
        double r360698 = log(r360696);
        double r360699 = r360697 + r360698;
        double r360700 = r360694 * r360699;
        double r360701 = r360693 + r360700;
        return r360701;
}
↓
double f(double x, double y, double z) {
        double r360702 = x;
        double r360703 = 0.5;
        double r360704 = r360702 * r360703;
        double r360705 = y;
        double r360706 = 1.0;
        double r360707 = z;
        double r360708 = r360706 - r360707;
        double r360709 = r360705 * r360708;
        double r360710 = r360704 + r360709;
        double r360711 = log(r360707);
        double r360712 = r360711 * r360705;
        double r360713 = r360710 + r360712;
        return r360713;
}

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-rgt-in0.1

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

  4. Applied associate-+r+0.1

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

  5. Simplified0.1

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

  6. Final simplification0.1

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

Reproduce

herbie shell --seed 2019353 
(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)))))