Average Error: 12.8 → 0.0
Time: 4.4s
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 r21205476 = x;
        double r21205477 = y;
        double r21205478 = r21205476 * r21205477;
        double r21205479 = r21205477 * r21205477;
        double r21205480 = r21205478 - r21205479;
        double r21205481 = r21205480 + r21205479;
        double r21205482 = z;
        double r21205483 = r21205477 * r21205482;
        double r21205484 = r21205481 - r21205483;
        return r21205484;
}
↓
double f(double x, double y, double z) {
        double r21205485 = x;
        double r21205486 = z;
        double r21205487 = r21205485 - r21205486;
        double r21205488 = y;
        double r21205489 = r21205487 * r21205488;
        return r21205489;
}

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

Original12.8
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 12.8

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

  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 2019163 
(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)))