Average Error: 13.3 → 0.0
Time: 2.1s
Precision: 64
\[\left(\left(x \cdot y - y \cdot y\right) + y \cdot y\right) - y \cdot z\]
↓
\[y \cdot \left(x - z\right)\]
\left(\left(x \cdot y - y \cdot y\right) + y \cdot y\right) - y \cdot z
↓
y \cdot \left(x - z\right)
double f(double x, double y, double z) {
        double r582824 = x;
        double r582825 = y;
        double r582826 = r582824 * r582825;
        double r582827 = r582825 * r582825;
        double r582828 = r582826 - r582827;
        double r582829 = r582828 + r582827;
        double r582830 = z;
        double r582831 = r582825 * r582830;
        double r582832 = r582829 - r582831;
        return r582832;
}
↓
double f(double x, double y, double z) {
        double r582833 = y;
        double r582834 = x;
        double r582835 = z;
        double r582836 = r582834 - r582835;
        double r582837 = r582833 * r582836;
        return r582837;
}

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

Original13.3
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 13.3

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

  2. Simplified0.0

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2020060 
(FPCore (x y z)
  :name "Linear.Quaternion:$c/ from linear-1.19.1.3, D"
  :precision binary64

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

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