Average Error: 17.5 → 0.0
Time: 3.5s
Precision: 64
\[\left(\left(x \cdot y - y \cdot z\right) - y \cdot y\right) + y \cdot y\]
↓
\[y \cdot \left(x - z\right)\]
\left(\left(x \cdot y - y \cdot z\right) - y \cdot y\right) + y \cdot y
↓
y \cdot \left(x - z\right)
double f(double x, double y, double z) {
        double r2851 = x;
        double r2852 = y;
        double r2853 = r2851 * r2852;
        double r2854 = z;
        double r2855 = r2852 * r2854;
        double r2856 = r2853 - r2855;
        double r2857 = r2852 * r2852;
        double r2858 = r2856 - r2857;
        double r2859 = r2858 + r2857;
        return r2859;
}
↓
double f(double x, double y, double z) {
        double r2860 = y;
        double r2861 = x;
        double r2862 = z;
        double r2863 = r2861 - r2862;
        double r2864 = r2860 * r2863;
        return r2864;
}

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

Original17.5
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 17.5

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

  2. Simplified0.0

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2020025 
(FPCore (x y z)
  :name "Linear.Quaternion:$c/ from linear-1.19.1.3, B"
  :precision binary64

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

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