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 r594984 = x;
        double r594985 = y;
        double r594986 = r594984 - r594985;
        double r594987 = z;
        double r594988 = r594987 - r594985;
        double r594989 = r594986 / r594988;
        double r594990 = t;
        double r594991 = r594989 * r594990;
        return r594991;
}
↓
double f(double x, double y, double z, double t) {
        double r594992 = x;
        double r594993 = y;
        double r594994 = r594992 - r594993;
        double r594995 = z;
        double r594996 = r594995 - r594993;
        double r594997 = r594994 / r594996;
        double r594998 = t;
        double r594999 = r594997 * r594998;
        return r594999;
}

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))