Average Error: 17.2 → 0.0
Time: 14.0s
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 r26263301 = x;
        double r26263302 = y;
        double r26263303 = r26263301 * r26263302;
        double r26263304 = r26263302 * r26263302;
        double r26263305 = r26263303 + r26263304;
        double r26263306 = z;
        double r26263307 = r26263302 * r26263306;
        double r26263308 = r26263305 - r26263307;
        double r26263309 = r26263308 - r26263304;
        return r26263309;
}
↓
double f(double x, double y, double z) {
        double r26263310 = x;
        double r26263311 = z;
        double r26263312 = r26263310 - r26263311;
        double r26263313 = y;
        double r26263314 = r26263312 * r26263313;
        return r26263314;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

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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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019158 
(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)))