Average Error: 2.0 → 2.0
Time: 13.2s
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 r424381 = x;
        double r424382 = y;
        double r424383 = r424381 - r424382;
        double r424384 = z;
        double r424385 = r424384 - r424382;
        double r424386 = r424383 / r424385;
        double r424387 = t;
        double r424388 = r424386 * r424387;
        return r424388;
}
↓
double f(double x, double y, double z, double t) {
        double r424389 = x;
        double r424390 = z;
        double r424391 = y;
        double r424392 = r424390 - r424391;
        double r424393 = r424389 / r424392;
        double r424394 = r424391 / r424392;
        double r424395 = r424393 - r424394;
        double r424396 = t;
        double r424397 = r424395 * r424396;
        return r424397;
}

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

Original2.0
Target2.1
Herbie2.0
\[\frac{t}{\frac{z - y}{x - y}}\]

Derivation

  1. Initial program 2.0

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

  3. Applied div-sub2.0

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

  4. Final simplification2.0

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

Reproduce

herbie shell --seed 2019303 
(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))