Average Error: 17.4 → 0.0
Time: 5.7s
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 r329287 = x;
        double r329288 = y;
        double r329289 = r329287 * r329288;
        double r329290 = r329288 * r329288;
        double r329291 = r329289 + r329290;
        double r329292 = z;
        double r329293 = r329288 * r329292;
        double r329294 = r329291 - r329293;
        double r329295 = r329294 - r329290;
        return r329295;
}
↓
double f(double x, double y, double z) {
        double r329296 = y;
        double r329297 = x;
        double r329298 = z;
        double r329299 = r329297 - r329298;
        double r329300 = r329296 * r329299;
        return r329300;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019303 
(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)))