Average Error: 2.1 → 2.1
Time: 16.6s
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 r20035860 = x;
        double r20035861 = y;
        double r20035862 = r20035860 - r20035861;
        double r20035863 = z;
        double r20035864 = r20035863 - r20035861;
        double r20035865 = r20035862 / r20035864;
        double r20035866 = t;
        double r20035867 = r20035865 * r20035866;
        return r20035867;
}
↓
double f(double x, double y, double z, double t) {
        double r20035868 = x;
        double r20035869 = y;
        double r20035870 = r20035868 - r20035869;
        double r20035871 = z;
        double r20035872 = r20035871 - r20035869;
        double r20035873 = r20035870 / r20035872;
        double r20035874 = t;
        double r20035875 = r20035873 * r20035874;
        return r20035875;
}

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 2019162 +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))