Average Error: 2.1 → 2.1
Time: 17.6s
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 r18722843 = x;
        double r18722844 = y;
        double r18722845 = r18722843 - r18722844;
        double r18722846 = z;
        double r18722847 = r18722846 - r18722844;
        double r18722848 = r18722845 / r18722847;
        double r18722849 = t;
        double r18722850 = r18722848 * r18722849;
        return r18722850;
}
↓
double f(double x, double y, double z, double t) {
        double r18722851 = x;
        double r18722852 = y;
        double r18722853 = r18722851 - r18722852;
        double r18722854 = z;
        double r18722855 = r18722854 - r18722852;
        double r18722856 = r18722853 / r18722855;
        double r18722857 = t;
        double r18722858 = r18722856 * r18722857;
        return r18722858;
}

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

Original2.1
Target2.2
Herbie2.1
\[\frac{t}{\frac{z - y}{x - y}}\]

Derivation

  1. Initial program 2.1

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

  2. Final simplification2.1

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

Reproduce

herbie shell --seed 2019174 +o rules:numerics
(FPCore (x y z t)
  :name "Numeric.Signal.Multichannel:$cput from hsignal-0.2.7.1"

  :herbie-target
  (/ t (/ (- z y) (- x y)))

  (* (/ (- x y) (- z y)) t))