Average Error: 12.8 → 0.0
Time: 10.3s
Precision: 64
\[\left(\left(x \cdot y - y \cdot y\right) + y \cdot y\right) - y \cdot z\]
↓
\[\left(x - z\right) \cdot y\]
\left(\left(x \cdot y - y \cdot y\right) + y \cdot y\right) - y \cdot z
↓
\left(x - z\right) \cdot y
double f(double x, double y, double z) {
        double r352791 = x;
        double r352792 = y;
        double r352793 = r352791 * r352792;
        double r352794 = r352792 * r352792;
        double r352795 = r352793 - r352794;
        double r352796 = r352795 + r352794;
        double r352797 = z;
        double r352798 = r352792 * r352797;
        double r352799 = r352796 - r352798;
        return r352799;
}
↓
double f(double x, double y, double z) {
        double r352800 = x;
        double r352801 = z;
        double r352802 = r352800 - r352801;
        double r352803 = y;
        double r352804 = r352802 * r352803;
        return r352804;
}

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

Original12.8
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 12.8

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

  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 2019209 
(FPCore (x y z)
  :name "Linear.Quaternion:$c/ from linear-1.19.1.3, D"
  :precision binary64

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

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