Average Error: 17.3 → 0.0
Time: 5.9s
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 r27152291 = x;
        double r27152292 = y;
        double r27152293 = r27152291 * r27152292;
        double r27152294 = r27152292 * r27152292;
        double r27152295 = r27152293 + r27152294;
        double r27152296 = z;
        double r27152297 = r27152292 * r27152296;
        double r27152298 = r27152295 - r27152297;
        double r27152299 = r27152298 - r27152294;
        return r27152299;
}
↓
double f(double x, double y, double z) {
        double r27152300 = x;
        double r27152301 = z;
        double r27152302 = r27152300 - r27152301;
        double r27152303 = y;
        double r27152304 = r27152302 * r27152303;
        return r27152304;
}

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

Original17.3
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 17.3

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

  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 2019163 
(FPCore (x y z)
  :name "Linear.Quaternion:$c/ from linear-1.19.1.3, C"

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

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