Average Error: 18.2 → 0.0
Time: 12.3s
Precision: 64
\[\left(\left(x \cdot y + y \cdot y\right) - y \cdot z\right) - y \cdot y\]
↓
\[\left(x - z\right) \cdot y\]
\left(\left(x \cdot y + y \cdot y\right) - y \cdot z\right) - y \cdot y
↓
\left(x - z\right) \cdot y
double f(double x, double y, double z) {
        double r23779590 = x;
        double r23779591 = y;
        double r23779592 = r23779590 * r23779591;
        double r23779593 = r23779591 * r23779591;
        double r23779594 = r23779592 + r23779593;
        double r23779595 = z;
        double r23779596 = r23779591 * r23779595;
        double r23779597 = r23779594 - r23779596;
        double r23779598 = r23779597 - r23779593;
        return r23779598;
}
↓
double f(double x, double y, double z) {
        double r23779599 = x;
        double r23779600 = z;
        double r23779601 = r23779599 - r23779600;
        double r23779602 = y;
        double r23779603 = r23779601 * r23779602;
        return r23779603;
}

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

Original18.2
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 18.2

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

  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 2019179 
(FPCore (x y z)
  :name "Linear.Quaternion:$c/ from linear-1.19.1.3, C"

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

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