Average Error: 2.0 → 10.4
Time: 8.6s
Precision: 64
\[\frac{x - y}{z - y} \cdot t\]
↓
\[\frac{t}{z - y} \cdot \left(x - y\right)\]
\frac{x - y}{z - y} \cdot t
↓
\frac{t}{z - y} \cdot \left(x - y\right)
double f(double x, double y, double z, double t) {
        double r296673 = x;
        double r296674 = y;
        double r296675 = r296673 - r296674;
        double r296676 = z;
        double r296677 = r296676 - r296674;
        double r296678 = r296675 / r296677;
        double r296679 = t;
        double r296680 = r296678 * r296679;
        return r296680;
}
↓
double f(double x, double y, double z, double t) {
        double r296681 = t;
        double r296682 = z;
        double r296683 = y;
        double r296684 = r296682 - r296683;
        double r296685 = r296681 / r296684;
        double r296686 = x;
        double r296687 = r296686 - r296683;
        double r296688 = r296685 * r296687;
        return r296688;
}

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
Herbie10.4
\[\frac{t}{\frac{z - y}{x - y}}\]

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 simplification10.4

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

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))