Average Error: 2.4 → 2.4
Time: 6.5s
Precision: 64
\[\frac{x - y}{z - y} \cdot t\]
↓
\[\frac{x - y}{z - y} \cdot t\]
\frac{x - y}{z - y} \cdot t
↓
\frac{x - y}{z - y} \cdot t
double f(double x, double y, double z, double t) {
        double r563865 = x;
        double r563866 = y;
        double r563867 = r563865 - r563866;
        double r563868 = z;
        double r563869 = r563868 - r563866;
        double r563870 = r563867 / r563869;
        double r563871 = t;
        double r563872 = r563870 * r563871;
        return r563872;
}
↓
double f(double x, double y, double z, double t) {
        double r563873 = x;
        double r563874 = y;
        double r563875 = r563873 - r563874;
        double r563876 = z;
        double r563877 = r563876 - r563874;
        double r563878 = r563875 / r563877;
        double r563879 = t;
        double r563880 = r563878 * r563879;
        return r563880;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original2.4
Target2.4
Herbie2.4
\[\frac{t}{\frac{z - y}{x - y}}\]

Derivation

  1. Initial program 2.4

    \[\frac{x - y}{z - y} \cdot t\]

  2. Final simplification2.4

    \[\leadsto \frac{x - y}{z - y} \cdot t\]

Reproduce

herbie shell --seed 2020065 
(FPCore (x y z t)
  :name "Numeric.Signal.Multichannel:$cput from hsignal-0.2.7.1"
  :precision binary64

  :herbie-target
  (/ t (/ (- z y) (- x y)))

  (* (/ (- x y) (- z y)) t))