Average Error: 13.0 → 0.0
Time: 24.3s
Precision: 64
\[\left(\left(x \cdot y - y \cdot y\right) + y \cdot y\right) - y \cdot z\]
↓
\[\left(x - z\right) \cdot y\]
\left(\left(x \cdot y - y \cdot y\right) + y \cdot y\right) - y \cdot z
↓
\left(x - z\right) \cdot y
double f(double x, double y, double z) {
        double r409335 = x;
        double r409336 = y;
        double r409337 = r409335 * r409336;
        double r409338 = r409336 * r409336;
        double r409339 = r409337 - r409338;
        double r409340 = r409339 + r409338;
        double r409341 = z;
        double r409342 = r409336 * r409341;
        double r409343 = r409340 - r409342;
        return r409343;
}
↓
double f(double x, double y, double z) {
        double r409344 = x;
        double r409345 = z;
        double r409346 = r409344 - r409345;
        double r409347 = y;
        double r409348 = r409346 * r409347;
        return r409348;
}

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

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

Derivation

  1. Initial program 13.0

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

  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 2019199 
(FPCore (x y z)
  :name "Linear.Quaternion:$c/ from linear-1.19.1.3, D"

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

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