Average Error: 12.5 → 0.0
Time: 13.7s
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 r351480 = x;
        double r351481 = y;
        double r351482 = r351480 * r351481;
        double r351483 = r351481 * r351481;
        double r351484 = r351482 - r351483;
        double r351485 = r351484 + r351483;
        double r351486 = z;
        double r351487 = r351481 * r351486;
        double r351488 = r351485 - r351487;
        return r351488;
}
↓
double f(double x, double y, double z) {
        double r351489 = x;
        double r351490 = z;
        double r351491 = r351489 - r351490;
        double r351492 = y;
        double r351493 = r351491 * r351492;
        return r351493;
}

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

Original12.5
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 12.5

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

  2. Simplified0.0

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019323 
(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)))