Average Error: 17.7 → 0.0
Time: 1.7s
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 r693457 = x;
        double r693458 = y;
        double r693459 = r693457 * r693458;
        double r693460 = z;
        double r693461 = r693458 * r693460;
        double r693462 = r693459 - r693461;
        double r693463 = r693458 * r693458;
        double r693464 = r693462 - r693463;
        double r693465 = r693464 + r693463;
        return r693465;
}
↓
double f(double x, double y, double z) {
        double r693466 = y;
        double r693467 = x;
        double r693468 = z;
        double r693469 = r693467 - r693468;
        double r693470 = r693466 * r693469;
        return r693470;
}

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 2020035 
(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)))