Average Error: 2.3 → 2.3
Time: 8.3s
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 r457619 = x;
        double r457620 = y;
        double r457621 = r457619 - r457620;
        double r457622 = z;
        double r457623 = r457622 - r457620;
        double r457624 = r457621 / r457623;
        double r457625 = t;
        double r457626 = r457624 * r457625;
        return r457626;
}
↓
double f(double x, double y, double z, double t) {
        double r457627 = x;
        double r457628 = y;
        double r457629 = r457627 - r457628;
        double r457630 = z;
        double r457631 = r457630 - r457628;
        double r457632 = r457629 / r457631;
        double r457633 = t;
        double r457634 = r457632 * r457633;
        return r457634;
}

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))