Average Error: 17.4 → 0.0
Time: 6.5s
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 r684535 = x;
        double r684536 = y;
        double r684537 = r684535 * r684536;
        double r684538 = z;
        double r684539 = r684536 * r684538;
        double r684540 = r684537 - r684539;
        double r684541 = r684536 * r684536;
        double r684542 = r684540 - r684541;
        double r684543 = r684542 + r684541;
        return r684543;
}
↓
double f(double x, double y, double z) {
        double r684544 = x;
        double r684545 = z;
        double r684546 = r684544 - r684545;
        double r684547 = y;
        double r684548 = r684546 * r684547;
        return r684548;
}

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

Original17.4
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 17.4

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

  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 2019174 
(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)))