Average Error: 0.1 → 0.1
Time: 5.7s
Precision: 64
\[x \cdot 0.5 + y \cdot \left(\left(1 - z\right) + \log z\right)\]
↓
\[\left(x \cdot 0.5 + y \cdot \left(1 - z\right)\right) + y \cdot \log z\]
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) + y \cdot \log z
double f(double x, double y, double z) {
        double r352442 = x;
        double r352443 = 0.5;
        double r352444 = r352442 * r352443;
        double r352445 = y;
        double r352446 = 1.0;
        double r352447 = z;
        double r352448 = r352446 - r352447;
        double r352449 = log(r352447);
        double r352450 = r352448 + r352449;
        double r352451 = r352445 * r352450;
        double r352452 = r352444 + r352451;
        return r352452;
}
↓
double f(double x, double y, double z) {
        double r352453 = x;
        double r352454 = 0.5;
        double r352455 = r352453 * r352454;
        double r352456 = y;
        double r352457 = 1.0;
        double r352458 = z;
        double r352459 = r352457 - r352458;
        double r352460 = r352456 * r352459;
        double r352461 = r352455 + r352460;
        double r352462 = log(r352458);
        double r352463 = r352456 * r352462;
        double r352464 = r352461 + r352463;
        return r352464;
}

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. Applied associate-+r+0.1

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

  5. Final simplification0.1

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

Reproduce

herbie shell --seed 2020035 
(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)))))