Average Error: 0.0 → 0.0
Time: 3.2m
Precision: 64
\[\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\]
↓
\[x + \left(\left(\left(-\left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\right)\]
\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b
↓
x + \left(\left(\left(-\left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\right)
double f(double x, double y, double z, double t, double a, double b) {
        double r748437 = x;
        double r748438 = y;
        double r748439 = 1.0;
        double r748440 = r748438 - r748439;
        double r748441 = z;
        double r748442 = r748440 * r748441;
        double r748443 = r748437 - r748442;
        double r748444 = t;
        double r748445 = r748444 - r748439;
        double r748446 = a;
        double r748447 = r748445 * r748446;
        double r748448 = r748443 - r748447;
        double r748449 = r748438 + r748444;
        double r748450 = 2.0;
        double r748451 = r748449 - r748450;
        double r748452 = b;
        double r748453 = r748451 * r748452;
        double r748454 = r748448 + r748453;
        return r748454;
}
↓
double f(double x, double y, double z, double t, double a, double b) {
        double r748455 = x;
        double r748456 = y;
        double r748457 = 1.0;
        double r748458 = r748456 - r748457;
        double r748459 = z;
        double r748460 = r748458 * r748459;
        double r748461 = -r748460;
        double r748462 = t;
        double r748463 = r748462 - r748457;
        double r748464 = a;
        double r748465 = r748463 * r748464;
        double r748466 = r748461 - r748465;
        double r748467 = r748456 + r748462;
        double r748468 = 2.0;
        double r748469 = r748467 - r748468;
        double r748470 = b;
        double r748471 = r748469 * r748470;
        double r748472 = r748466 + r748471;
        double r748473 = r748455 + r748472;
        return r748473;
}

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

Derivation

  1. Initial program 0.0

    \[\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\]
  2. Using strategy rm

  3. Applied sub-neg0.0

    \[\leadsto \left(\color{blue}{\left(x + \left(-\left(y - 1\right) \cdot z\right)\right)} - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\]

  4. Applied associate--l+0.0

    \[\leadsto \color{blue}{\left(x + \left(\left(-\left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right)\right)} + \left(\left(y + t\right) - 2\right) \cdot b\]

  5. Applied associate-+l+0.0

    \[\leadsto \color{blue}{x + \left(\left(\left(-\left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\right)}\]

  6. Final simplification0.0

    \[\leadsto x + \left(\left(\left(-\left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\right)\]

Reproduce

herbie shell --seed 2020065 
(FPCore (x y z t a b)
  :name "Statistics.Distribution.Beta:$centropy from math-functions-0.1.5.2"
  :precision binary64
  (+ (- (- x (* (- y 1) z)) (* (- t 1) a)) (* (- (+ y t) 2) b)))