Average Error: 18.0 → 0.0
Time: 14.2s
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 r25617449 = x;
        double r25617450 = y;
        double r25617451 = r25617449 * r25617450;
        double r25617452 = r25617450 * r25617450;
        double r25617453 = r25617451 + r25617452;
        double r25617454 = z;
        double r25617455 = r25617450 * r25617454;
        double r25617456 = r25617453 - r25617455;
        double r25617457 = r25617456 - r25617452;
        return r25617457;
}
↓
double f(double x, double y, double z) {
        double r25617458 = x;
        double r25617459 = z;
        double r25617460 = r25617458 - r25617459;
        double r25617461 = y;
        double r25617462 = r25617460 * r25617461;
        return r25617462;
}

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

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

Derivation

  1. Initial program 18.0

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

  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 2019172 
(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)))