Average Error: 0.0 → 0.0
Time: 17.8s
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 r41519 = x;
        double r41520 = y;
        double r41521 = 1.0;
        double r41522 = r41520 - r41521;
        double r41523 = z;
        double r41524 = r41522 * r41523;
        double r41525 = r41519 - r41524;
        double r41526 = t;
        double r41527 = r41526 - r41521;
        double r41528 = a;
        double r41529 = r41527 * r41528;
        double r41530 = r41525 - r41529;
        double r41531 = r41520 + r41526;
        double r41532 = 2.0;
        double r41533 = r41531 - r41532;
        double r41534 = b;
        double r41535 = r41533 * r41534;
        double r41536 = r41530 + r41535;
        return r41536;
}
↓
double f(double x, double y, double z, double t, double a, double b) {
        double r41537 = z;
        double r41538 = y;
        double r41539 = 1.0;
        double r41540 = r41538 - r41539;
        double r41541 = -r41540;
        double r41542 = r41537 * r41541;
        double r41543 = a;
        double r41544 = t;
        double r41545 = r41544 - r41539;
        double r41546 = r41543 * r41545;
        double r41547 = r41542 - r41546;
        double r41548 = r41544 + r41538;
        double r41549 = 2.0;
        double r41550 = r41548 - r41549;
        double r41551 = b;
        double r41552 = r41550 * r41551;
        double r41553 = r41547 + r41552;
        double r41554 = x;
        double r41555 = r41553 + r41554;
        return r41555;
}

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)))