Average Error: 17.8 → 0.0
Time: 12.6s
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 r21864755 = x;
        double r21864756 = y;
        double r21864757 = r21864755 * r21864756;
        double r21864758 = r21864756 * r21864756;
        double r21864759 = r21864757 + r21864758;
        double r21864760 = z;
        double r21864761 = r21864756 * r21864760;
        double r21864762 = r21864759 - r21864761;
        double r21864763 = r21864762 - r21864758;
        return r21864763;
}
↓
double f(double x, double y, double z) {
        double r21864764 = x;
        double r21864765 = z;
        double r21864766 = r21864764 - r21864765;
        double r21864767 = y;
        double r21864768 = r21864766 * r21864767;
        return r21864768;
}

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

Original17.8
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 17.8

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

  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 2019165 
(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)))