Average Error: 17.3 → 0.0
Time: 12.7s
Precision: 64
\[\left(\left(x \cdot y + y \cdot y\right) - y \cdot z\right) - y \cdot y\]
↓
\[y \cdot \left(x - z\right)\]
\left(\left(x \cdot y + y \cdot y\right) - y \cdot z\right) - y \cdot y
↓
y \cdot \left(x - z\right)
double f(double x, double y, double z) {
        double r453739 = x;
        double r453740 = y;
        double r453741 = r453739 * r453740;
        double r453742 = r453740 * r453740;
        double r453743 = r453741 + r453742;
        double r453744 = z;
        double r453745 = r453740 * r453744;
        double r453746 = r453743 - r453745;
        double r453747 = r453746 - r453742;
        return r453747;
}
↓
double f(double x, double y, double z) {
        double r453748 = y;
        double r453749 = x;
        double r453750 = z;
        double r453751 = r453749 - r453750;
        double r453752 = r453748 * r453751;
        return r453752;
}

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

Original17.3
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 17.3

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

  2. Simplified0.0

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

  3. Final simplification0.0

    \[\leadsto y \cdot \left(x - z\right)\]

Reproduce

herbie shell --seed 2019294 
(FPCore (x y z)
  :name "Linear.Quaternion:$c/ from linear-1.19.1.3, C"
  :precision binary64

  :herbie-target
  (* (- x z) y)

  (- (- (+ (* x y) (* y y)) (* y z)) (* y y)))