Average Error: 2.1 → 2.1
Time: 16.6s
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 r327916 = x;
        double r327917 = y;
        double r327918 = r327916 - r327917;
        double r327919 = z;
        double r327920 = r327919 - r327917;
        double r327921 = r327918 / r327920;
        double r327922 = t;
        double r327923 = r327921 * r327922;
        return r327923;
}
↓
double f(double x, double y, double z, double t) {
        double r327924 = x;
        double r327925 = y;
        double r327926 = r327924 - r327925;
        double r327927 = z;
        double r327928 = r327927 - r327925;
        double r327929 = r327926 / r327928;
        double r327930 = t;
        double r327931 = r327929 * r327930;
        return r327931;
}

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
Target2.1
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 2019325 +o rules:numerics
(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))