Average Error: 2.1 → 2.1
Time: 19.1s
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 r340854 = x;
        double r340855 = y;
        double r340856 = r340854 - r340855;
        double r340857 = z;
        double r340858 = r340857 - r340855;
        double r340859 = r340856 / r340858;
        double r340860 = t;
        double r340861 = r340859 * r340860;
        return r340861;
}
↓
double f(double x, double y, double z, double t) {
        double r340862 = x;
        double r340863 = y;
        double r340864 = r340862 - r340863;
        double r340865 = z;
        double r340866 = r340865 - r340863;
        double r340867 = r340864 / r340866;
        double r340868 = t;
        double r340869 = r340867 * r340868;
        return r340869;
}

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 
(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))