Average Error: 23.5 → 23.5
Time: 17.4s
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 r638482 = x;
        double r638483 = y;
        double r638484 = r638482 * r638483;
        double r638485 = z;
        double r638486 = t;
        double r638487 = a;
        double r638488 = r638486 - r638487;
        double r638489 = r638485 * r638488;
        double r638490 = r638484 + r638489;
        double r638491 = b;
        double r638492 = r638491 - r638483;
        double r638493 = r638485 * r638492;
        double r638494 = r638483 + r638493;
        double r638495 = r638490 / r638494;
        return r638495;
}
↓
double f(double x, double y, double z, double t, double a, double b) {
        double r638496 = x;
        double r638497 = y;
        double r638498 = r638496 * r638497;
        double r638499 = z;
        double r638500 = t;
        double r638501 = a;
        double r638502 = r638500 - r638501;
        double r638503 = r638499 * r638502;
        double r638504 = r638498 + r638503;
        double r638505 = b;
        double r638506 = r638505 - r638497;
        double r638507 = r638499 * r638506;
        double r638508 = r638497 + r638507;
        double r638509 = r638504 / r638508;
        return r638509;
}

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

Original23.5
Target18.2
Herbie23.5
\[\frac{z \cdot t + y \cdot x}{y + z \cdot \left(b - y\right)} - \frac{a}{\left(b - y\right) + \frac{y}{z}}\]

Derivation

  1. Initial program 23.5

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

  2. Final simplification23.5

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

Reproduce

herbie shell --seed 2019305 
(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)))))