Average Error: 12.7 → 0.0
Time: 8.5s
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 r24013930 = x;
        double r24013931 = y;
        double r24013932 = r24013930 * r24013931;
        double r24013933 = r24013931 * r24013931;
        double r24013934 = r24013932 - r24013933;
        double r24013935 = r24013934 + r24013933;
        double r24013936 = z;
        double r24013937 = r24013931 * r24013936;
        double r24013938 = r24013935 - r24013937;
        return r24013938;
}
↓
double f(double x, double y, double z) {
        double r24013939 = x;
        double r24013940 = z;
        double r24013941 = r24013939 - r24013940;
        double r24013942 = y;
        double r24013943 = r24013941 * r24013942;
        return r24013943;
}

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

Original12.7
Target0.0
Herbie0.0
\[\left(x - z\right) \cdot y\]

Derivation

  1. Initial program 12.7

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

  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 2019174 
(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)))