Average Error: 17.5 → 0.0
Time: 8.9s
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 r27312757 = x;
        double r27312758 = y;
        double r27312759 = r27312757 * r27312758;
        double r27312760 = r27312758 * r27312758;
        double r27312761 = r27312759 + r27312760;
        double r27312762 = z;
        double r27312763 = r27312758 * r27312762;
        double r27312764 = r27312761 - r27312763;
        double r27312765 = r27312764 - r27312760;
        return r27312765;
}
↓
double f(double x, double y, double z) {
        double r27312766 = x;
        double r27312767 = z;
        double r27312768 = r27312766 - r27312767;
        double r27312769 = y;
        double r27312770 = r27312768 * r27312769;
        return r27312770;
}

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

Original17.5
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 17.5

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

  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 2019192 
(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)))