Average Error: 17.0 → 0.0
Time: 15.7s
Precision: 64
\[\left(\left(x \cdot y + y \cdot y\right) - y \cdot z\right) - y \cdot y\]
↓
\[\left(x - z\right) \cdot y\]
\left(\left(x \cdot y + y \cdot y\right) - y \cdot z\right) - y \cdot y
↓
\left(x - z\right) \cdot y
double f(double x, double y, double z) {
        double r341305 = x;
        double r341306 = y;
        double r341307 = r341305 * r341306;
        double r341308 = r341306 * r341306;
        double r341309 = r341307 + r341308;
        double r341310 = z;
        double r341311 = r341306 * r341310;
        double r341312 = r341309 - r341311;
        double r341313 = r341312 - r341308;
        return r341313;
}
↓
double f(double x, double y, double z) {
        double r341314 = x;
        double r341315 = z;
        double r341316 = r341314 - r341315;
        double r341317 = y;
        double r341318 = r341316 * r341317;
        return r341318;
}

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

Original17.0
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 17.0

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

  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, C"
  :precision binary64

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

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