Average Error: 12.2 → 0.0
Time: 14.9s
Precision: 64
\[\left(\left(x \cdot y - y \cdot y\right) + y \cdot y\right) - y \cdot z\]
↓
\[\left(x - z\right) \cdot y\]
\left(\left(x \cdot y - y \cdot y\right) + y \cdot y\right) - y \cdot z
↓
\left(x - z\right) \cdot y
double f(double x, double y, double z) {
        double r24367144 = x;
        double r24367145 = y;
        double r24367146 = r24367144 * r24367145;
        double r24367147 = r24367145 * r24367145;
        double r24367148 = r24367146 - r24367147;
        double r24367149 = r24367148 + r24367147;
        double r24367150 = z;
        double r24367151 = r24367145 * r24367150;
        double r24367152 = r24367149 - r24367151;
        return r24367152;
}
↓
double f(double x, double y, double z) {
        double r24367153 = x;
        double r24367154 = z;
        double r24367155 = r24367153 - r24367154;
        double r24367156 = y;
        double r24367157 = r24367155 * r24367156;
        return r24367157;
}

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

Original12.2
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 12.2

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

  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 2019162 
(FPCore (x y z)
  :name "Linear.Quaternion:$c/ from linear-1.19.1.3, D"

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

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