Average Error: 2.3 → 2.3
Time: 9.9s
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 r512660 = x;
        double r512661 = y;
        double r512662 = r512660 - r512661;
        double r512663 = z;
        double r512664 = r512663 - r512661;
        double r512665 = r512662 / r512664;
        double r512666 = t;
        double r512667 = r512665 * r512666;
        return r512667;
}
↓
double f(double x, double y, double z, double t) {
        double r512668 = x;
        double r512669 = y;
        double r512670 = r512668 - r512669;
        double r512671 = z;
        double r512672 = r512671 - r512669;
        double r512673 = r512670 / r512672;
        double r512674 = t;
        double r512675 = r512673 * r512674;
        return r512675;
}

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))