Average Error: 23.2 → 23.2
Time: 6.7s
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 r835442 = x;
        double r835443 = y;
        double r835444 = r835442 * r835443;
        double r835445 = z;
        double r835446 = t;
        double r835447 = a;
        double r835448 = r835446 - r835447;
        double r835449 = r835445 * r835448;
        double r835450 = r835444 + r835449;
        double r835451 = b;
        double r835452 = r835451 - r835443;
        double r835453 = r835445 * r835452;
        double r835454 = r835443 + r835453;
        double r835455 = r835450 / r835454;
        return r835455;
}
↓
double f(double x, double y, double z, double t, double a, double b) {
        double r835456 = x;
        double r835457 = y;
        double r835458 = r835456 * r835457;
        double r835459 = z;
        double r835460 = t;
        double r835461 = a;
        double r835462 = r835460 - r835461;
        double r835463 = r835459 * r835462;
        double r835464 = r835458 + r835463;
        double r835465 = b;
        double r835466 = r835465 - r835457;
        double r835467 = r835459 * r835466;
        double r835468 = r835457 + r835467;
        double r835469 = r835464 / r835468;
        return r835469;
}

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

Original23.2
Target18.0
Herbie23.2
\[\frac{z \cdot t + y \cdot x}{y + z \cdot \left(b - y\right)} - \frac{a}{\left(b - y\right) + \frac{y}{z}}\]

Derivation

  1. Initial program 23.2

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

  2. Final simplification23.2

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

Reproduce

herbie shell --seed 2020001 
(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)))))