Average Error: 13.3 → 0.0
Time: 1.8s
Precision: 64
\[\left(\left(x \cdot y - y \cdot y\right) + y \cdot y\right) - y \cdot z\]
↓
\[y \cdot \left(x - z\right)\]
\left(\left(x \cdot y - y \cdot y\right) + y \cdot y\right) - y \cdot z
↓
y \cdot \left(x - z\right)
double f(double x, double y, double z) {
        double r521924 = x;
        double r521925 = y;
        double r521926 = r521924 * r521925;
        double r521927 = r521925 * r521925;
        double r521928 = r521926 - r521927;
        double r521929 = r521928 + r521927;
        double r521930 = z;
        double r521931 = r521925 * r521930;
        double r521932 = r521929 - r521931;
        return r521932;
}
↓
double f(double x, double y, double z) {
        double r521933 = y;
        double r521934 = x;
        double r521935 = z;
        double r521936 = r521934 - r521935;
        double r521937 = r521933 * r521936;
        return r521937;
}

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

Original13.3
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 13.3

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

  2. Simplified0.0

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2020018 
(FPCore (x y z)
  :name "Linear.Quaternion:$c/ from linear-1.19.1.3, D"
  :precision binary64

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

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