Average Error: 17.3 → 0.0
Time: 14.9s
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 r483454 = x;
        double r483455 = y;
        double r483456 = r483454 * r483455;
        double r483457 = r483455 * r483455;
        double r483458 = r483456 + r483457;
        double r483459 = z;
        double r483460 = r483455 * r483459;
        double r483461 = r483458 - r483460;
        double r483462 = r483461 - r483457;
        return r483462;
}
↓
double f(double x, double y, double z) {
        double r483463 = x;
        double r483464 = z;
        double r483465 = r483463 - r483464;
        double r483466 = y;
        double r483467 = r483465 * r483466;
        return r483467;
}

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

Original17.3
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 17.3

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

  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 2019194 
(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)))