Average Error: 17.7 → 0.0
Time: 30.8s
Precision: 64
\[\left(\left(x \cdot y - y \cdot z\right) - y \cdot y\right) + y \cdot y\]
↓
\[\left(x - z\right) \cdot y\]
\left(\left(x \cdot y - y \cdot z\right) - y \cdot y\right) + y \cdot y
↓
\left(x - z\right) \cdot y
double f(double x, double y, double z) {
        double r24794997 = x;
        double r24794998 = y;
        double r24794999 = r24794997 * r24794998;
        double r24795000 = z;
        double r24795001 = r24794998 * r24795000;
        double r24795002 = r24794999 - r24795001;
        double r24795003 = r24794998 * r24794998;
        double r24795004 = r24795002 - r24795003;
        double r24795005 = r24795004 + r24795003;
        return r24795005;
}
↓
double f(double x, double y, double z) {
        double r24795006 = x;
        double r24795007 = z;
        double r24795008 = r24795006 - r24795007;
        double r24795009 = y;
        double r24795010 = r24795008 * r24795009;
        return r24795010;
}

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

Original17.7
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 17.7

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

  2. Simplified0.0

    \[\leadsto \color{blue}{y \cdot \left(x - z\right)}\]

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019168 
(FPCore (x y z)
  :name "Linear.Quaternion:$c/ from linear-1.19.1.3, B"

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

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