Average Error: 17.4 → 0.0
Time: 10.8s
Precision: 64
\[\left(\left(x \cdot y + y \cdot y\right) - y \cdot z\right) - y \cdot y\]
↓
\[\left(x - z\right) \cdot y\]
\left(\left(x \cdot y + y \cdot y\right) - y \cdot z\right) - y \cdot y
↓
\left(x - z\right) \cdot y
double f(double x, double y, double z) {
        double r373523 = x;
        double r373524 = y;
        double r373525 = r373523 * r373524;
        double r373526 = r373524 * r373524;
        double r373527 = r373525 + r373526;
        double r373528 = z;
        double r373529 = r373524 * r373528;
        double r373530 = r373527 - r373529;
        double r373531 = r373530 - r373526;
        return r373531;
}
↓
double f(double x, double y, double z) {
        double r373532 = x;
        double r373533 = z;
        double r373534 = r373532 - r373533;
        double r373535 = y;
        double r373536 = r373534 * r373535;
        return r373536;
}

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

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

  2. Simplified0.0

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019195 
(FPCore (x y z)
  :name "Linear.Quaternion:$c/ from linear-1.19.1.3, C"

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

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