Average Error: 2.1 → 2.1
Time: 15.5s
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 r399863 = x;
        double r399864 = y;
        double r399865 = r399863 - r399864;
        double r399866 = z;
        double r399867 = r399866 - r399864;
        double r399868 = r399865 / r399867;
        double r399869 = t;
        double r399870 = r399868 * r399869;
        return r399870;
}
↓
double f(double x, double y, double z, double t) {
        double r399871 = x;
        double r399872 = y;
        double r399873 = r399871 - r399872;
        double r399874 = z;
        double r399875 = r399874 - r399872;
        double r399876 = r399873 / r399875;
        double r399877 = t;
        double r399878 = r399876 * r399877;
        return r399878;
}

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

Original2.1
Target2.2
Herbie2.1
\[\frac{t}{\frac{z - y}{x - y}}\]

Derivation

  1. Initial program 2.1

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

  2. Final simplification2.1

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

Reproduce

herbie shell --seed 2019174 
(FPCore (x y z t)
  :name "Numeric.Signal.Multichannel:$cput from hsignal-0.2.7.1"

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

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