Average Error: 12.5 → 0.0
Time: 12.6s
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 r373007 = x;
        double r373008 = y;
        double r373009 = r373007 * r373008;
        double r373010 = r373008 * r373008;
        double r373011 = r373009 - r373010;
        double r373012 = r373011 + r373010;
        double r373013 = z;
        double r373014 = r373008 * r373013;
        double r373015 = r373012 - r373014;
        return r373015;
}
↓
double f(double x, double y, double z) {
        double r373016 = x;
        double r373017 = z;
        double r373018 = r373016 - r373017;
        double r373019 = y;
        double r373020 = r373018 * r373019;
        return r373020;
}

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

Original12.5
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 12.5

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

  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 2019323 
(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)))