Average Error: 17.5 → 0.0
Time: 5.6s
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 r318216 = x;
        double r318217 = y;
        double r318218 = r318216 * r318217;
        double r318219 = z;
        double r318220 = r318217 * r318219;
        double r318221 = r318218 - r318220;
        double r318222 = r318217 * r318217;
        double r318223 = r318221 - r318222;
        double r318224 = r318223 + r318222;
        return r318224;
}
↓
double f(double x, double y, double z) {
        double r318225 = y;
        double r318226 = x;
        double r318227 = z;
        double r318228 = r318226 - r318227;
        double r318229 = r318225 * r318228;
        return r318229;
}

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

Original17.5
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 17.5

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

  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 2019298 
(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)))