Average Error: 12.4 → 0.0
Time: 15.8s
Precision: 64
\[\left(\left(x \cdot y - y \cdot y\right) + y \cdot y\right) - y \cdot z\]
↓
\[\left(x - z\right) \cdot y\]
\left(\left(x \cdot y - y \cdot y\right) + y \cdot y\right) - y \cdot z
↓
\left(x - z\right) \cdot y
double f(double x, double y, double z) {
        double r35587734 = x;
        double r35587735 = y;
        double r35587736 = r35587734 * r35587735;
        double r35587737 = r35587735 * r35587735;
        double r35587738 = r35587736 - r35587737;
        double r35587739 = r35587738 + r35587737;
        double r35587740 = z;
        double r35587741 = r35587735 * r35587740;
        double r35587742 = r35587739 - r35587741;
        return r35587742;
}
↓
double f(double x, double y, double z) {
        double r35587743 = x;
        double r35587744 = z;
        double r35587745 = r35587743 - r35587744;
        double r35587746 = y;
        double r35587747 = r35587745 * r35587746;
        return r35587747;
}

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

Original12.4
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 12.4

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

  2. Simplified0.0

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019158 
(FPCore (x y z)
  :name "Linear.Quaternion:$c/ from linear-1.19.1.3, D"

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

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