Average Error: 16.8 → 0.0
Time: 13.3s
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 r25065360 = x;
        double r25065361 = y;
        double r25065362 = r25065360 * r25065361;
        double r25065363 = r25065361 * r25065361;
        double r25065364 = r25065362 + r25065363;
        double r25065365 = z;
        double r25065366 = r25065361 * r25065365;
        double r25065367 = r25065364 - r25065366;
        double r25065368 = r25065367 - r25065363;
        return r25065368;
}
↓
double f(double x, double y, double z) {
        double r25065369 = x;
        double r25065370 = z;
        double r25065371 = r25065369 - r25065370;
        double r25065372 = y;
        double r25065373 = r25065371 * r25065372;
        return r25065373;
}

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

Original16.8
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 16.8

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

  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 2019164 
(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)))