Average Error: 17.9 → 0.0
Time: 17.4s
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 r23555870 = x;
        double r23555871 = y;
        double r23555872 = r23555870 * r23555871;
        double r23555873 = r23555871 * r23555871;
        double r23555874 = r23555872 + r23555873;
        double r23555875 = z;
        double r23555876 = r23555871 * r23555875;
        double r23555877 = r23555874 - r23555876;
        double r23555878 = r23555877 - r23555873;
        return r23555878;
}
↓
double f(double x, double y, double z) {
        double r23555879 = x;
        double r23555880 = z;
        double r23555881 = r23555879 - r23555880;
        double r23555882 = y;
        double r23555883 = r23555881 * r23555882;
        return r23555883;
}

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

Original17.9
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 17.9

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

  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 2019170 
(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)))