Average Error: 2.3 → 2.3
Time: 3.1s
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 r471630 = x;
        double r471631 = y;
        double r471632 = r471630 - r471631;
        double r471633 = z;
        double r471634 = r471633 - r471631;
        double r471635 = r471632 / r471634;
        double r471636 = t;
        double r471637 = r471635 * r471636;
        return r471637;
}
↓
double f(double x, double y, double z, double t) {
        double r471638 = x;
        double r471639 = y;
        double r471640 = r471638 - r471639;
        double r471641 = z;
        double r471642 = r471641 - r471639;
        double r471643 = r471640 / r471642;
        double r471644 = t;
        double r471645 = r471643 * r471644;
        return r471645;
}

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 +o rules:numerics
(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))