Average Error: 17.8 → 0.0
Time: 1.9s
Precision: 64
\[\left(\left(x \cdot y + y \cdot y\right) - y \cdot z\right) - y \cdot y\]
↓
\[y \cdot \left(x - z\right)\]
\left(\left(x \cdot y + y \cdot y\right) - y \cdot z\right) - y \cdot y
↓
y \cdot \left(x - z\right)
double f(double x, double y, double z) {
        double r582911 = x;
        double r582912 = y;
        double r582913 = r582911 * r582912;
        double r582914 = r582912 * r582912;
        double r582915 = r582913 + r582914;
        double r582916 = z;
        double r582917 = r582912 * r582916;
        double r582918 = r582915 - r582917;
        double r582919 = r582918 - r582914;
        return r582919;
}
↓
double f(double x, double y, double z) {
        double r582920 = y;
        double r582921 = x;
        double r582922 = z;
        double r582923 = r582921 - r582922;
        double r582924 = r582920 * r582923;
        return r582924;
}

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

Original17.8
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 17.8

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

  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 2020062 
(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)))