Average Error: 17.3 → 0.0
Time: 11.7s
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 r387982 = x;
        double r387983 = y;
        double r387984 = r387982 * r387983;
        double r387985 = z;
        double r387986 = r387983 * r387985;
        double r387987 = r387984 - r387986;
        double r387988 = r387983 * r387983;
        double r387989 = r387987 - r387988;
        double r387990 = r387989 + r387988;
        return r387990;
}
↓
double f(double x, double y, double z) {
        double r387991 = y;
        double r387992 = x;
        double r387993 = z;
        double r387994 = r387992 - r387993;
        double r387995 = r387991 * r387994;
        return r387995;
}

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

Original17.3
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 17.3

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

  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 2019294 
(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)))