Average Error: 23.2 → 23.2
Time: 7.0s
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 r841492 = x;
        double r841493 = y;
        double r841494 = r841492 * r841493;
        double r841495 = z;
        double r841496 = t;
        double r841497 = a;
        double r841498 = r841496 - r841497;
        double r841499 = r841495 * r841498;
        double r841500 = r841494 + r841499;
        double r841501 = b;
        double r841502 = r841501 - r841493;
        double r841503 = r841495 * r841502;
        double r841504 = r841493 + r841503;
        double r841505 = r841500 / r841504;
        return r841505;
}
↓
double f(double x, double y, double z, double t, double a, double b) {
        double r841506 = x;
        double r841507 = y;
        double r841508 = r841506 * r841507;
        double r841509 = z;
        double r841510 = t;
        double r841511 = a;
        double r841512 = r841510 - r841511;
        double r841513 = r841509 * r841512;
        double r841514 = r841508 + r841513;
        double r841515 = b;
        double r841516 = r841515 - r841507;
        double r841517 = r841509 * r841516;
        double r841518 = r841507 + r841517;
        double r841519 = r841514 / r841518;
        return r841519;
}

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)))))