Average Error: 17.4 → 0.0
Time: 9.1s
Precision: 64
\[\left(\left(x \cdot y + y \cdot y\right) - y \cdot z\right) - y \cdot y\]
↓
\[\left(x - z\right) \cdot y\]
\left(\left(x \cdot y + y \cdot y\right) - y \cdot z\right) - y \cdot y
↓
\left(x - z\right) \cdot y
double f(double x, double y, double z) {
        double r23522784 = x;
        double r23522785 = y;
        double r23522786 = r23522784 * r23522785;
        double r23522787 = r23522785 * r23522785;
        double r23522788 = r23522786 + r23522787;
        double r23522789 = z;
        double r23522790 = r23522785 * r23522789;
        double r23522791 = r23522788 - r23522790;
        double r23522792 = r23522791 - r23522787;
        return r23522792;
}
↓
double f(double x, double y, double z) {
        double r23522793 = x;
        double r23522794 = z;
        double r23522795 = r23522793 - r23522794;
        double r23522796 = y;
        double r23522797 = r23522795 * r23522796;
        return r23522797;
}

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

Original17.4
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 17.4

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

  2. Simplified0.0

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019174 
(FPCore (x y z)
  :name "Linear.Quaternion:$c/ from linear-1.19.1.3, C"

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

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