Average Error: 17.9 → 0.0
Time: 51.2s
Precision: 64
\[\left(\left(x \cdot y + y \cdot y\right) - y \cdot z\right) - y \cdot y\]
↓
\[\left(x - z\right) \cdot y\]
\left(\left(x \cdot y + y \cdot y\right) - y \cdot z\right) - y \cdot y
↓
\left(x - z\right) \cdot y
double f(double x, double y, double z) {
        double r23053223 = x;
        double r23053224 = y;
        double r23053225 = r23053223 * r23053224;
        double r23053226 = r23053224 * r23053224;
        double r23053227 = r23053225 + r23053226;
        double r23053228 = z;
        double r23053229 = r23053224 * r23053228;
        double r23053230 = r23053227 - r23053229;
        double r23053231 = r23053230 - r23053226;
        return r23053231;
}
↓
double f(double x, double y, double z) {
        double r23053232 = x;
        double r23053233 = z;
        double r23053234 = r23053232 - r23053233;
        double r23053235 = y;
        double r23053236 = r23053234 * r23053235;
        return r23053236;
}

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

Original17.9
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 17.9

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

  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 2019200 
(FPCore (x y z)
  :name "Linear.Quaternion:$c/ from linear-1.19.1.3, C"

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

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