Average Error: 17.5 → 0.0
Time: 2.1s
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 r528517 = x;
        double r528518 = y;
        double r528519 = r528517 * r528518;
        double r528520 = r528518 * r528518;
        double r528521 = r528519 + r528520;
        double r528522 = z;
        double r528523 = r528518 * r528522;
        double r528524 = r528521 - r528523;
        double r528525 = r528524 - r528520;
        return r528525;
}
↓
double f(double x, double y, double z) {
        double r528526 = y;
        double r528527 = x;
        double r528528 = z;
        double r528529 = r528527 - r528528;
        double r528530 = r528526 * r528529;
        return r528530;
}

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

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

  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 2020025 
(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)))