Average Error: 13.0 → 0.0
Time: 8.1s
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 r22142047 = x;
        double r22142048 = y;
        double r22142049 = r22142047 * r22142048;
        double r22142050 = r22142048 * r22142048;
        double r22142051 = r22142049 - r22142050;
        double r22142052 = r22142051 + r22142050;
        double r22142053 = z;
        double r22142054 = r22142048 * r22142053;
        double r22142055 = r22142052 - r22142054;
        return r22142055;
}
↓
double f(double x, double y, double z) {
        double r22142056 = x;
        double r22142057 = z;
        double r22142058 = r22142056 - r22142057;
        double r22142059 = y;
        double r22142060 = r22142058 * r22142059;
        return r22142060;
}

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

Original13.0
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 13.0

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

  2. Simplified0.0

    \[\leadsto \color{blue}{y \cdot \left(x - z\right)}\]

  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, D"

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

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