Average Error: 2.0 → 2.0
Time: 13.6s
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 r303755 = x;
        double r303756 = y;
        double r303757 = r303755 - r303756;
        double r303758 = z;
        double r303759 = r303758 - r303756;
        double r303760 = r303757 / r303759;
        double r303761 = t;
        double r303762 = r303760 * r303761;
        return r303762;
}
↓
double f(double x, double y, double z, double t) {
        double r303763 = x;
        double r303764 = z;
        double r303765 = y;
        double r303766 = r303764 - r303765;
        double r303767 = r303763 / r303766;
        double r303768 = r303765 / r303766;
        double r303769 = r303767 - r303768;
        double r303770 = t;
        double r303771 = r303769 * r303770;
        return r303771;
}

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))