Average Error: 17.4 → 0.0
Time: 13.7s
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 r36952 = x;
        double r36953 = y;
        double r36954 = r36952 * r36953;
        double r36955 = r36953 * r36953;
        double r36956 = r36954 + r36955;
        double r36957 = z;
        double r36958 = r36953 * r36957;
        double r36959 = r36956 - r36958;
        double r36960 = r36959 - r36955;
        return r36960;
}
↓
double f(double x, double y, double z) {
        double r36961 = x;
        double r36962 = z;
        double r36963 = r36961 - r36962;
        double r36964 = y;
        double r36965 = r36963 * r36964;
        return r36965;
}

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

Original17.4
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 17.4

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

  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 2019315 
(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)))