Average Error: 18.2 → 0.0
Time: 5.8s
Precision: 64
\[\left(\left(x \cdot y - y \cdot z\right) - y \cdot y\right) + y \cdot y\]
↓
\[\left(x - z\right) \cdot y\]
\left(\left(x \cdot y - y \cdot z\right) - y \cdot y\right) + y \cdot y
↓
\left(x - z\right) \cdot y
double f(double x, double y, double z) {
        double r322468 = x;
        double r322469 = y;
        double r322470 = r322468 * r322469;
        double r322471 = z;
        double r322472 = r322469 * r322471;
        double r322473 = r322470 - r322472;
        double r322474 = r322469 * r322469;
        double r322475 = r322473 - r322474;
        double r322476 = r322475 + r322474;
        return r322476;
}
↓
double f(double x, double y, double z) {
        double r322477 = x;
        double r322478 = z;
        double r322479 = r322477 - r322478;
        double r322480 = y;
        double r322481 = r322479 * r322480;
        return r322481;
}

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

Original18.2
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 18.2

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

  2. Simplified0.0

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019179 
(FPCore (x y z)
  :name "Linear.Quaternion:$c/ from linear-1.19.1.3, B"

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

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