Average Error: 16.8 → 0.0
Time: 13.6s
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 r22025267 = x;
        double r22025268 = y;
        double r22025269 = r22025267 * r22025268;
        double r22025270 = r22025268 * r22025268;
        double r22025271 = r22025269 + r22025270;
        double r22025272 = z;
        double r22025273 = r22025268 * r22025272;
        double r22025274 = r22025271 - r22025273;
        double r22025275 = r22025274 - r22025270;
        return r22025275;
}
↓
double f(double x, double y, double z) {
        double r22025276 = x;
        double r22025277 = z;
        double r22025278 = r22025276 - r22025277;
        double r22025279 = y;
        double r22025280 = r22025278 * r22025279;
        return r22025280;
}

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

Original16.8
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 16.8

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

  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 2019169 
(FPCore (x y z)
  :name "Linear.Quaternion:$c/ from linear-1.19.1.3, C"

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

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