Average Error: 0.0 → 0.0
Time: 18.0s
Precision: 64
\[\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\]
↓
\[\left(\left(z \cdot \left(-\left(y - 1\right)\right) - a \cdot \left(t - 1\right)\right) + \left(\left(t + y\right) - 2\right) \cdot b\right) + x\]
\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
↓
\left(\left(z \cdot \left(-\left(y - 1\right)\right) - a \cdot \left(t - 1\right)\right) + \left(\left(t + y\right) - 2\right) \cdot b\right) + x
double f(double x, double y, double z, double t, double a, double b) {
        double r41477 = x;
        double r41478 = y;
        double r41479 = 1.0;
        double r41480 = r41478 - r41479;
        double r41481 = z;
        double r41482 = r41480 * r41481;
        double r41483 = r41477 - r41482;
        double r41484 = t;
        double r41485 = r41484 - r41479;
        double r41486 = a;
        double r41487 = r41485 * r41486;
        double r41488 = r41483 - r41487;
        double r41489 = r41478 + r41484;
        double r41490 = 2.0;
        double r41491 = r41489 - r41490;
        double r41492 = b;
        double r41493 = r41491 * r41492;
        double r41494 = r41488 + r41493;
        return r41494;
}
↓
double f(double x, double y, double z, double t, double a, double b) {
        double r41495 = z;
        double r41496 = y;
        double r41497 = 1.0;
        double r41498 = r41496 - r41497;
        double r41499 = -r41498;
        double r41500 = r41495 * r41499;
        double r41501 = a;
        double r41502 = t;
        double r41503 = r41502 - r41497;
        double r41504 = r41501 * r41503;
        double r41505 = r41500 - r41504;
        double r41506 = r41502 + r41496;
        double r41507 = 2.0;
        double r41508 = r41506 - r41507;
        double r41509 = b;
        double r41510 = r41508 * r41509;
        double r41511 = r41505 + r41510;
        double r41512 = x;
        double r41513 = r41511 + r41512;
        return r41513;
}

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. Simplified0.0

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

  7. Final simplification0.0

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

Reproduce

herbie shell --seed 2019194 
(FPCore (x y z t a b)
  :name "Statistics.Distribution.Beta:$centropy from math-functions-0.1.5.2"
  (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b)))