Average Error: 12.8 → 0.0
Time: 23.6s
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 r345330 = x;
        double r345331 = y;
        double r345332 = r345330 * r345331;
        double r345333 = r345331 * r345331;
        double r345334 = r345332 - r345333;
        double r345335 = r345334 + r345333;
        double r345336 = z;
        double r345337 = r345331 * r345336;
        double r345338 = r345335 - r345337;
        return r345338;
}
↓
double f(double x, double y, double z) {
        double r345339 = x;
        double r345340 = z;
        double r345341 = r345339 - r345340;
        double r345342 = y;
        double r345343 = r345341 * r345342;
        return r345343;
}

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

Original12.8
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 12.8

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

  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 2019306 
(FPCore (x y z)
  :name "Linear.Quaternion:$c/ from linear-1.19.1.3, D"
  :precision binary64

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

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