Average Error: 18.2 → 0.0
Time: 7.8s
Precision: 64
\[\left(\left(x \cdot y - y \cdot z\right) - y \cdot y\right) + y \cdot y\]
↓
\[\left(x - z\right) \cdot y\]
\left(\left(x \cdot y - y \cdot z\right) - y \cdot y\right) + y \cdot y
↓
\left(x - z\right) \cdot y
double f(double x, double y, double z) {
        double r12464258 = x;
        double r12464259 = y;
        double r12464260 = r12464258 * r12464259;
        double r12464261 = z;
        double r12464262 = r12464259 * r12464261;
        double r12464263 = r12464260 - r12464262;
        double r12464264 = r12464259 * r12464259;
        double r12464265 = r12464263 - r12464264;
        double r12464266 = r12464265 + r12464264;
        return r12464266;
}
↓
double f(double x, double y, double z) {
        double r12464267 = x;
        double r12464268 = z;
        double r12464269 = r12464267 - r12464268;
        double r12464270 = y;
        double r12464271 = r12464269 * r12464270;
        return r12464271;
}

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

Original18.2
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 18.2

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

  2. Simplified0.0

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019179 
(FPCore (x y z)
  :name "Linear.Quaternion:$c/ from linear-1.19.1.3, B"

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

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