Average Error: 12.2 → 0.0
Time: 14.1s
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 r26582663 = x;
        double r26582664 = y;
        double r26582665 = r26582663 * r26582664;
        double r26582666 = r26582664 * r26582664;
        double r26582667 = r26582665 - r26582666;
        double r26582668 = r26582667 + r26582666;
        double r26582669 = z;
        double r26582670 = r26582664 * r26582669;
        double r26582671 = r26582668 - r26582670;
        return r26582671;
}
↓
double f(double x, double y, double z) {
        double r26582672 = x;
        double r26582673 = z;
        double r26582674 = r26582672 - r26582673;
        double r26582675 = y;
        double r26582676 = r26582674 * r26582675;
        return r26582676;
}

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

Original12.2
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 12.2

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

  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 2019162 
(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)))