Average Error: 13.4 → 0.0
Time: 3.5s
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 r572433 = x;
        double r572434 = y;
        double r572435 = r572433 * r572434;
        double r572436 = r572434 * r572434;
        double r572437 = r572435 - r572436;
        double r572438 = r572437 + r572436;
        double r572439 = z;
        double r572440 = r572434 * r572439;
        double r572441 = r572438 - r572440;
        return r572441;
}
↓
double f(double x, double y, double z) {
        double r572442 = y;
        double r572443 = x;
        double r572444 = z;
        double r572445 = r572443 - r572444;
        double r572446 = r572442 * r572445;
        return r572446;
}

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

Original13.4
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 13.4

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

  2. Simplified0.0

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2020001 
(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)))