Average Error: 2.4 → 2.4
Time: 6.3s
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 r472792 = x;
        double r472793 = y;
        double r472794 = r472792 - r472793;
        double r472795 = z;
        double r472796 = r472795 - r472793;
        double r472797 = r472794 / r472796;
        double r472798 = t;
        double r472799 = r472797 * r472798;
        return r472799;
}
↓
double f(double x, double y, double z, double t) {
        double r472800 = x;
        double r472801 = y;
        double r472802 = r472800 - r472801;
        double r472803 = z;
        double r472804 = r472803 - r472801;
        double r472805 = r472802 / r472804;
        double r472806 = t;
        double r472807 = r472805 * r472806;
        return r472807;
}

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 +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))