Average Error: 17.2 → 0.0
Time: 3.6s
Precision: 64
\[\left(\left(x \cdot y - y \cdot z\right) - y \cdot y\right) + y \cdot y\]
↓
\[y \cdot \left(x - z\right)\]
\left(\left(x \cdot y - y \cdot z\right) - y \cdot y\right) + y \cdot y
↓
y \cdot \left(x - z\right)
double f(double x, double y, double z) {
        double r300826 = x;
        double r300827 = y;
        double r300828 = r300826 * r300827;
        double r300829 = z;
        double r300830 = r300827 * r300829;
        double r300831 = r300828 - r300830;
        double r300832 = r300827 * r300827;
        double r300833 = r300831 - r300832;
        double r300834 = r300833 + r300832;
        return r300834;
}
↓
double f(double x, double y, double z) {
        double r300835 = y;
        double r300836 = x;
        double r300837 = z;
        double r300838 = r300836 - r300837;
        double r300839 = r300835 * r300838;
        return r300839;
}

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

Original17.2
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 17.2

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

  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 2019304 
(FPCore (x y z)
  :name "Linear.Quaternion:$c/ from linear-1.19.1.3, B"
  :precision binary64

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

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