Average Error: 2.1 → 2.1
Time: 13.7s
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 r24403494 = x;
        double r24403495 = y;
        double r24403496 = r24403494 / r24403495;
        double r24403497 = z;
        double r24403498 = t;
        double r24403499 = r24403497 - r24403498;
        double r24403500 = r24403496 * r24403499;
        double r24403501 = r24403500 + r24403498;
        return r24403501;
}
↓
double f(double x, double y, double z, double t) {
        double r24403502 = x;
        double r24403503 = y;
        double r24403504 = r24403502 / r24403503;
        double r24403505 = z;
        double r24403506 = t;
        double r24403507 = r24403505 - r24403506;
        double r24403508 = r24403504 * r24403507;
        double r24403509 = r24403508 + r24403506;
        return r24403509;
}

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))