Average Error: 17.8 → 0.0
Time: 24.6s
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 r350670 = x;
        double r350671 = y;
        double r350672 = r350670 * r350671;
        double r350673 = z;
        double r350674 = r350671 * r350673;
        double r350675 = r350672 - r350674;
        double r350676 = r350671 * r350671;
        double r350677 = r350675 - r350676;
        double r350678 = r350677 + r350676;
        return r350678;
}
↓
double f(double x, double y, double z) {
        double r350679 = x;
        double r350680 = z;
        double r350681 = r350679 - r350680;
        double r350682 = y;
        double r350683 = r350681 * r350682;
        return r350683;
}

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

Original17.8
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 17.8

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

  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 2019199 
(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)))