Average Error: 2.2 → 2.2
Time: 5.7s
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 r440065 = x;
        double r440066 = y;
        double r440067 = r440065 - r440066;
        double r440068 = z;
        double r440069 = r440068 - r440066;
        double r440070 = r440067 / r440069;
        double r440071 = t;
        double r440072 = r440070 * r440071;
        return r440072;
}
↓
double f(double x, double y, double z, double t) {
        double r440073 = x;
        double r440074 = y;
        double r440075 = r440073 - r440074;
        double r440076 = z;
        double r440077 = r440076 - r440074;
        double r440078 = r440075 / r440077;
        double r440079 = t;
        double r440080 = r440078 * r440079;
        return r440080;
}

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

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

Derivation

  1. Initial program 2.2

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

  2. Final simplification2.2

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

Reproduce

herbie shell --seed 2020024 
(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))