Average Error: 17.0 → 0.0
Time: 17.5s
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 r384965 = x;
        double r384966 = y;
        double r384967 = r384965 * r384966;
        double r384968 = r384966 * r384966;
        double r384969 = r384967 + r384968;
        double r384970 = z;
        double r384971 = r384966 * r384970;
        double r384972 = r384969 - r384971;
        double r384973 = r384972 - r384968;
        return r384973;
}
↓
double f(double x, double y, double z) {
        double r384974 = x;
        double r384975 = z;
        double r384976 = r384974 - r384975;
        double r384977 = y;
        double r384978 = r384976 * r384977;
        return r384978;
}

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

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

Derivation

  1. Initial program 17.0

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

  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 2019323 
(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)))