Average Error: 17.8 → 0.0
Time: 1.3s
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 r464440 = x;
        double r464441 = y;
        double r464442 = r464440 * r464441;
        double r464443 = r464441 * r464441;
        double r464444 = r464442 + r464443;
        double r464445 = z;
        double r464446 = r464441 * r464445;
        double r464447 = r464444 - r464446;
        double r464448 = r464447 - r464443;
        return r464448;
}
↓
double f(double x, double y, double z) {
        double r464449 = y;
        double r464450 = x;
        double r464451 = z;
        double r464452 = r464450 - r464451;
        double r464453 = r464449 * r464452;
        return r464453;
}

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

Original17.8
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 17.8

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

  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 2020064 
(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)))