Average Error: 2.2 → 2.2
Time: 10.7s
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 r752709 = x;
        double r752710 = y;
        double r752711 = r752709 - r752710;
        double r752712 = z;
        double r752713 = r752712 - r752710;
        double r752714 = r752711 / r752713;
        double r752715 = t;
        double r752716 = r752714 * r752715;
        return r752716;
}
↓
double f(double x, double y, double z, double t) {
        double r752717 = x;
        double r752718 = y;
        double r752719 = r752717 - r752718;
        double r752720 = z;
        double r752721 = r752720 - r752718;
        double r752722 = r752719 / r752721;
        double r752723 = t;
        double r752724 = r752722 * r752723;
        return r752724;
}

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

Original2.2
Target2.3
Herbie2.2
\[\frac{t}{\frac{z - y}{x - y}}\]

Derivation

  1. Initial program 2.2

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

  2. Final simplification2.2

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

Reproduce

herbie shell --seed 2020042 
(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))