Average Error: 17.5 → 0.0
Time: 16.3s
Precision: 64
\[\left(\left(x \cdot y - y \cdot z\right) - y \cdot y\right) + y \cdot y\]
↓
\[\left(x - z\right) \cdot y\]
\left(\left(x \cdot y - y \cdot z\right) - y \cdot y\right) + y \cdot y
↓
\left(x - z\right) \cdot y
double f(double x, double y, double z) {
        double r26897457 = x;
        double r26897458 = y;
        double r26897459 = r26897457 * r26897458;
        double r26897460 = z;
        double r26897461 = r26897458 * r26897460;
        double r26897462 = r26897459 - r26897461;
        double r26897463 = r26897458 * r26897458;
        double r26897464 = r26897462 - r26897463;
        double r26897465 = r26897464 + r26897463;
        return r26897465;
}
↓
double f(double x, double y, double z) {
        double r26897466 = x;
        double r26897467 = z;
        double r26897468 = r26897466 - r26897467;
        double r26897469 = y;
        double r26897470 = r26897468 * r26897469;
        return r26897470;
}

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

Original17.5
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 17.5

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

  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 2019168 
(FPCore (x y z)
  :name "Linear.Quaternion:$c/ from linear-1.19.1.3, B"

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

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