Average Error: 17.2 → 0.0
Time: 15.7s
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 r27497055 = x;
        double r27497056 = y;
        double r27497057 = r27497055 * r27497056;
        double r27497058 = z;
        double r27497059 = r27497056 * r27497058;
        double r27497060 = r27497057 - r27497059;
        double r27497061 = r27497056 * r27497056;
        double r27497062 = r27497060 - r27497061;
        double r27497063 = r27497062 + r27497061;
        return r27497063;
}
↓
double f(double x, double y, double z) {
        double r27497064 = x;
        double r27497065 = z;
        double r27497066 = r27497064 - r27497065;
        double r27497067 = y;
        double r27497068 = r27497066 * r27497067;
        return r27497068;
}

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

Original17.2
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 17.2

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

  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 2019158 
(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)))