Average Error: 23.1 → 23.1
Time: 19.2s
Precision: 64
\[\frac{x \cdot y + z \cdot \left(t - a\right)}{y + z \cdot \left(b - y\right)}\]
↓
\[\frac{x \cdot y + z \cdot \left(t - a\right)}{y + z \cdot \left(b - y\right)}\]
\frac{x \cdot y + z \cdot \left(t - a\right)}{y + z \cdot \left(b - y\right)}
↓
\frac{x \cdot y + z \cdot \left(t - a\right)}{y + z \cdot \left(b - y\right)}
double f(double x, double y, double z, double t, double a, double b) {
        double r515593 = x;
        double r515594 = y;
        double r515595 = r515593 * r515594;
        double r515596 = z;
        double r515597 = t;
        double r515598 = a;
        double r515599 = r515597 - r515598;
        double r515600 = r515596 * r515599;
        double r515601 = r515595 + r515600;
        double r515602 = b;
        double r515603 = r515602 - r515594;
        double r515604 = r515596 * r515603;
        double r515605 = r515594 + r515604;
        double r515606 = r515601 / r515605;
        return r515606;
}
↓
double f(double x, double y, double z, double t, double a, double b) {
        double r515607 = x;
        double r515608 = y;
        double r515609 = r515607 * r515608;
        double r515610 = z;
        double r515611 = t;
        double r515612 = a;
        double r515613 = r515611 - r515612;
        double r515614 = r515610 * r515613;
        double r515615 = r515609 + r515614;
        double r515616 = b;
        double r515617 = r515616 - r515608;
        double r515618 = r515610 * r515617;
        double r515619 = r515608 + r515618;
        double r515620 = r515615 / r515619;
        return r515620;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Bits error versus a

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original23.1
Target17.7
Herbie23.1
\[\frac{z \cdot t + y \cdot x}{y + z \cdot \left(b - y\right)} - \frac{a}{\left(b - y\right) + \frac{y}{z}}\]

Derivation

  1. Initial program 23.1

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

  2. Final simplification23.1

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

Reproduce

herbie shell --seed 2019291 
(FPCore (x y z t a b)
  :name "Development.Shake.Progress:decay from shake-0.15.5"
  :precision binary64

  :herbie-target
  (- (/ (+ (* z t) (* y x)) (+ y (* z (- b y)))) (/ a (+ (- b y) (/ y z))))

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