Average Error: 12.7 → 0.0
Time: 6.2s
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 r459055 = x;
        double r459056 = y;
        double r459057 = r459055 * r459056;
        double r459058 = r459056 * r459056;
        double r459059 = r459057 - r459058;
        double r459060 = r459059 + r459058;
        double r459061 = z;
        double r459062 = r459056 * r459061;
        double r459063 = r459060 - r459062;
        return r459063;
}
↓
double f(double x, double y, double z) {
        double r459064 = x;
        double r459065 = z;
        double r459066 = r459064 - r459065;
        double r459067 = y;
        double r459068 = r459066 * r459067;
        return r459068;
}

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

Original12.7
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 12.7

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

  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 2019174 
(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)))