Average Error: 2.1 → 2.1
Time: 15.9s
Precision: 64
\[\frac{x}{y} \cdot \left(z - t\right) + t\]
↓
\[\frac{x}{y} \cdot \left(z - t\right) + t\]
\frac{x}{y} \cdot \left(z - t\right) + t
↓
\frac{x}{y} \cdot \left(z - t\right) + t
double f(double x, double y, double z, double t) {
        double r22636799 = x;
        double r22636800 = y;
        double r22636801 = r22636799 / r22636800;
        double r22636802 = z;
        double r22636803 = t;
        double r22636804 = r22636802 - r22636803;
        double r22636805 = r22636801 * r22636804;
        double r22636806 = r22636805 + r22636803;
        return r22636806;
}
↓
double f(double x, double y, double z, double t) {
        double r22636807 = x;
        double r22636808 = y;
        double r22636809 = r22636807 / r22636808;
        double r22636810 = z;
        double r22636811 = t;
        double r22636812 = r22636810 - r22636811;
        double r22636813 = r22636809 * r22636812;
        double r22636814 = r22636813 + r22636811;
        return r22636814;
}

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
Target2.4
Herbie2.1
\[\begin{array}{l} \mathbf{if}\;z \lt 2.759456554562692 \cdot 10^{-282}:\\ \;\;\;\;\frac{x}{y} \cdot \left(z - t\right) + t\\ \mathbf{elif}\;z \lt 2.326994450874436 \cdot 10^{-110}:\\ \;\;\;\;x \cdot \frac{z - t}{y} + t\\ \mathbf{else}:\\ \;\;\;\;\frac{x}{y} \cdot \left(z - t\right) + t\\ \end{array}\]

Derivation

  1. Initial program 2.1

    \[\frac{x}{y} \cdot \left(z - t\right) + t\]

  2. Final simplification2.1

    \[\leadsto \frac{x}{y} \cdot \left(z - t\right) + t\]

Reproduce

herbie shell --seed 2019162 
(FPCore (x y z t)
  :name "Numeric.Signal.Multichannel:$cget from hsignal-0.2.7.1"

  :herbie-target
  (if (< z 2.759456554562692e-282) (+ (* (/ x y) (- z t)) t) (if (< z 2.326994450874436e-110) (+ (* x (/ (- z t) y)) t) (+ (* (/ x y) (- z t)) t)))

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