Average Error: 17.7 → 0.0
Time: 1.2s
Precision: 64
\[\left(\left(x \cdot y - y \cdot z\right) - y \cdot y\right) + y \cdot y\]
↓
\[y \cdot \left(x - z\right)\]
\left(\left(x \cdot y - y \cdot z\right) - y \cdot y\right) + y \cdot y
↓
y \cdot \left(x - z\right)
double f(double x, double y, double z) {
        double r569536 = x;
        double r569537 = y;
        double r569538 = r569536 * r569537;
        double r569539 = z;
        double r569540 = r569537 * r569539;
        double r569541 = r569538 - r569540;
        double r569542 = r569537 * r569537;
        double r569543 = r569541 - r569542;
        double r569544 = r569543 + r569542;
        return r569544;
}
↓
double f(double x, double y, double z) {
        double r569545 = y;
        double r569546 = x;
        double r569547 = z;
        double r569548 = r569546 - r569547;
        double r569549 = r569545 * r569548;
        return r569549;
}

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

Original17.7
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 17.7

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

  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 2019353 
(FPCore (x y z)
  :name "Linear.Quaternion:$c/ from linear-1.19.1.3, B"
  :precision binary64

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

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