Average Error: 17.9 → 0.0
Time: 8.0s
Precision: 64
\[\left(\left(x \cdot y - y \cdot z\right) - y \cdot y\right) + y \cdot y\]
↓
\[y \cdot \left(x - z\right)\]
\left(\left(x \cdot y - y \cdot z\right) - y \cdot y\right) + y \cdot y
↓
y \cdot \left(x - z\right)
double f(double x, double y, double z) {
        double r411390 = x;
        double r411391 = y;
        double r411392 = r411390 * r411391;
        double r411393 = z;
        double r411394 = r411391 * r411393;
        double r411395 = r411392 - r411394;
        double r411396 = r411391 * r411391;
        double r411397 = r411395 - r411396;
        double r411398 = r411397 + r411396;
        return r411398;
}
↓
double f(double x, double y, double z) {
        double r411399 = y;
        double r411400 = x;
        double r411401 = z;
        double r411402 = r411400 - r411401;
        double r411403 = r411399 * r411402;
        return r411403;
}

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

Original17.9
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 17.9

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

  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 2020046 
(FPCore (x y z)
  :name "Linear.Quaternion:$c/ from linear-1.19.1.3, B"
  :precision binary64

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

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