Average Error: 12.4 → 0.0
Time: 12.5s
Precision: 64
\[\left(\left(x \cdot y - y \cdot y\right) + y \cdot y\right) - y \cdot z\]
↓
\[\left(x - z\right) \cdot y\]
\left(\left(x \cdot y - y \cdot y\right) + y \cdot y\right) - y \cdot z
↓
\left(x - z\right) \cdot y
double f(double x, double y, double z) {
        double r13402497 = x;
        double r13402498 = y;
        double r13402499 = r13402497 * r13402498;
        double r13402500 = r13402498 * r13402498;
        double r13402501 = r13402499 - r13402500;
        double r13402502 = r13402501 + r13402500;
        double r13402503 = z;
        double r13402504 = r13402498 * r13402503;
        double r13402505 = r13402502 - r13402504;
        return r13402505;
}
↓
double f(double x, double y, double z) {
        double r13402506 = x;
        double r13402507 = z;
        double r13402508 = r13402506 - r13402507;
        double r13402509 = y;
        double r13402510 = r13402508 * r13402509;
        return r13402510;
}

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

Original12.4
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 12.4

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

  2. Simplified0.0

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

  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, D"

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

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