Average Error: 2.3 → 2.3
Time: 3.2s
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 r512567 = x;
        double r512568 = y;
        double r512569 = r512567 - r512568;
        double r512570 = z;
        double r512571 = r512570 - r512568;
        double r512572 = r512569 / r512571;
        double r512573 = t;
        double r512574 = r512572 * r512573;
        return r512574;
}
↓
double f(double x, double y, double z, double t) {
        double r512575 = x;
        double r512576 = y;
        double r512577 = r512575 - r512576;
        double r512578 = z;
        double r512579 = r512578 - r512576;
        double r512580 = r512577 / r512579;
        double r512581 = t;
        double r512582 = r512580 * r512581;
        return r512582;
}

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. Final simplification2.3

    \[\leadsto \frac{x - y}{z - y} \cdot t\]

Reproduce

herbie shell --seed 2020047 
(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))