Average Error: 2.1 → 2.1
Time: 18.3s
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 r19482362 = x;
        double r19482363 = y;
        double r19482364 = r19482362 - r19482363;
        double r19482365 = z;
        double r19482366 = r19482365 - r19482363;
        double r19482367 = r19482364 / r19482366;
        double r19482368 = t;
        double r19482369 = r19482367 * r19482368;
        return r19482369;
}
↓
double f(double x, double y, double z, double t) {
        double r19482370 = x;
        double r19482371 = y;
        double r19482372 = r19482370 - r19482371;
        double r19482373 = z;
        double r19482374 = r19482373 - r19482371;
        double r19482375 = r19482372 / r19482374;
        double r19482376 = t;
        double r19482377 = r19482375 * r19482376;
        return r19482377;
}

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
Target2.2
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 2019162 
(FPCore (x y z t)
  :name "Numeric.Signal.Multichannel:$cput from hsignal-0.2.7.1"

  :herbie-target
  (/ t (/ (- z y) (- x y)))

  (* (/ (- x y) (- z y)) t))