Average Error: 13.1 → 0.0
Time: 36.9s
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 r26334043 = x;
        double r26334044 = y;
        double r26334045 = r26334043 * r26334044;
        double r26334046 = r26334044 * r26334044;
        double r26334047 = r26334045 - r26334046;
        double r26334048 = r26334047 + r26334046;
        double r26334049 = z;
        double r26334050 = r26334044 * r26334049;
        double r26334051 = r26334048 - r26334050;
        return r26334051;
}
↓
double f(double x, double y, double z) {
        double r26334052 = x;
        double r26334053 = z;
        double r26334054 = r26334052 - r26334053;
        double r26334055 = y;
        double r26334056 = r26334054 * r26334055;
        return r26334056;
}

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

Original13.1
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 13.1

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

  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 2019200 
(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)))