Average Error: 17.6 → 0.0
Time: 3.3s
Precision: 64
\[\left(\left(x \cdot y + y \cdot y\right) - y \cdot z\right) - y \cdot y\]
↓
\[y \cdot \left(x - z\right)\]
\left(\left(x \cdot y + y \cdot y\right) - y \cdot z\right) - y \cdot y
↓
y \cdot \left(x - z\right)
double f(double x, double y, double z) {
        double r467611 = x;
        double r467612 = y;
        double r467613 = r467611 * r467612;
        double r467614 = r467612 * r467612;
        double r467615 = r467613 + r467614;
        double r467616 = z;
        double r467617 = r467612 * r467616;
        double r467618 = r467615 - r467617;
        double r467619 = r467618 - r467614;
        return r467619;
}
↓
double f(double x, double y, double z) {
        double r467620 = y;
        double r467621 = x;
        double r467622 = z;
        double r467623 = r467621 - r467622;
        double r467624 = r467620 * r467623;
        return r467624;
}

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

Original17.6
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 17.6

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

  2. Simplified0.0

    \[\leadsto \color{blue}{y \cdot \left(x - z\right)}\]

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2020036 
(FPCore (x y z)
  :name "Linear.Quaternion:$c/ from linear-1.19.1.3, C"
  :precision binary64

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

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