Average Error: 2.3 → 2.3
Time: 10.2s
Precision: 64
\[\frac{x - y}{z - y} \cdot t\]
↓
\[\left(\frac{x}{z - y} - \frac{y}{z - y}\right) \cdot t\]
\frac{x - y}{z - y} \cdot t
↓
\left(\frac{x}{z - y} - \frac{y}{z - y}\right) \cdot t
double f(double x, double y, double z, double t) {
        double r347296 = x;
        double r347297 = y;
        double r347298 = r347296 - r347297;
        double r347299 = z;
        double r347300 = r347299 - r347297;
        double r347301 = r347298 / r347300;
        double r347302 = t;
        double r347303 = r347301 * r347302;
        return r347303;
}
↓
double f(double x, double y, double z, double t) {
        double r347304 = x;
        double r347305 = z;
        double r347306 = y;
        double r347307 = r347305 - r347306;
        double r347308 = r347304 / r347307;
        double r347309 = r347306 / r347307;
        double r347310 = r347308 - r347309;
        double r347311 = t;
        double r347312 = r347310 * r347311;
        return r347312;
}

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

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

Derivation

  1. Initial program 2.3

    \[\frac{x - y}{z - y} \cdot t\]
  2. Using strategy rm

  3. Applied div-sub2.3

    \[\leadsto \color{blue}{\left(\frac{x}{z - y} - \frac{y}{z - y}\right)} \cdot t\]

  4. Final simplification2.3

    \[\leadsto \left(\frac{x}{z - y} - \frac{y}{z - y}\right) \cdot t\]

Reproduce

herbie shell --seed 2019208 
(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))