Average Error: 17.2 → 0.0
Time: 21.2s
Precision: 64
\[\left(\left(x \cdot y + y \cdot y\right) - y \cdot z\right) - y \cdot y\]
↓
\[\left(x - z\right) \cdot y\]
\left(\left(x \cdot y + y \cdot y\right) - y \cdot z\right) - y \cdot y
↓
\left(x - z\right) \cdot y
double f(double x, double y, double z) {
        double r376651 = x;
        double r376652 = y;
        double r376653 = r376651 * r376652;
        double r376654 = r376652 * r376652;
        double r376655 = r376653 + r376654;
        double r376656 = z;
        double r376657 = r376652 * r376656;
        double r376658 = r376655 - r376657;
        double r376659 = r376658 - r376654;
        return r376659;
}
↓
double f(double x, double y, double z) {
        double r376660 = x;
        double r376661 = z;
        double r376662 = r376660 - r376661;
        double r376663 = y;
        double r376664 = r376662 * r376663;
        return r376664;
}

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

Original17.2
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 17.2

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

  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 2019304 
(FPCore (x y z)
  :name "Linear.Quaternion:$c/ from linear-1.19.1.3, C"
  :precision binary64

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

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