Average Error: 17.2 → 0.0
Time: 22.4s
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 r166968334 = x;
        double r166968335 = y;
        double r166968336 = r166968334 * r166968335;
        double r166968337 = r166968335 * r166968335;
        double r166968338 = r166968336 + r166968337;
        double r166968339 = z;
        double r166968340 = r166968335 * r166968339;
        double r166968341 = r166968338 - r166968340;
        double r166968342 = r166968341 - r166968337;
        return r166968342;
}
↓
double f(double x, double y, double z) {
        double r166968343 = y;
        double r166968344 = x;
        double r166968345 = z;
        double r166968346 = r166968344 - r166968345;
        double r166968347 = r166968343 * r166968346;
        return r166968347;
}

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

Original17.2
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 17.2

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

  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 2019173 
(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)))