Average Error: 17.1 → 0.0
Time: 16.8s
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 r10836245 = x;
        double r10836246 = y;
        double r10836247 = r10836245 * r10836246;
        double r10836248 = r10836246 * r10836246;
        double r10836249 = r10836247 + r10836248;
        double r10836250 = z;
        double r10836251 = r10836246 * r10836250;
        double r10836252 = r10836249 - r10836251;
        double r10836253 = r10836252 - r10836248;
        return r10836253;
}
↓
double f(double x, double y, double z) {
        double r10836254 = x;
        double r10836255 = z;
        double r10836256 = r10836254 - r10836255;
        double r10836257 = y;
        double r10836258 = r10836256 * r10836257;
        return r10836258;
}

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

Original17.1
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 17.1

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

  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 2019171 
(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)))