Average Error: 2.2 → 2.2
Time: 11.1s
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 r555759 = x;
        double r555760 = y;
        double r555761 = r555759 - r555760;
        double r555762 = z;
        double r555763 = r555762 - r555760;
        double r555764 = r555761 / r555763;
        double r555765 = t;
        double r555766 = r555764 * r555765;
        return r555766;
}
↓
double f(double x, double y, double z, double t) {
        double r555767 = x;
        double r555768 = y;
        double r555769 = r555767 - r555768;
        double r555770 = z;
        double r555771 = r555770 - r555768;
        double r555772 = r555769 / r555771;
        double r555773 = t;
        double r555774 = r555772 * r555773;
        return r555774;
}

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
Target2.3
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 2020042 +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))