Average Error: 23.4 → 23.4
Time: 8.1s
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 r832300 = x;
        double r832301 = y;
        double r832302 = r832300 * r832301;
        double r832303 = z;
        double r832304 = t;
        double r832305 = a;
        double r832306 = r832304 - r832305;
        double r832307 = r832303 * r832306;
        double r832308 = r832302 + r832307;
        double r832309 = b;
        double r832310 = r832309 - r832301;
        double r832311 = r832303 * r832310;
        double r832312 = r832301 + r832311;
        double r832313 = r832308 / r832312;
        return r832313;
}
↓
double f(double x, double y, double z, double t, double a, double b) {
        double r832314 = x;
        double r832315 = y;
        double r832316 = r832314 * r832315;
        double r832317 = z;
        double r832318 = t;
        double r832319 = a;
        double r832320 = r832318 - r832319;
        double r832321 = r832317 * r832320;
        double r832322 = r832316 + r832321;
        double r832323 = b;
        double r832324 = r832323 - r832315;
        double r832325 = r832317 * r832324;
        double r832326 = r832315 + r832325;
        double r832327 = r832322 / r832326;
        return r832327;
}

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

Original23.4
Target17.9
Herbie23.4
\[\frac{z \cdot t + y \cdot x}{y + z \cdot \left(b - y\right)} - \frac{a}{\left(b - y\right) + \frac{y}{z}}\]

Derivation

  1. Initial program 23.4

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

  2. Final simplification23.4

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

Reproduce

herbie shell --seed 2020039 
(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)))))