Average Error: 0.0 → 0.0
Time: 20.9s
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 r92664 = x;
        double r92665 = y;
        double r92666 = 1.0;
        double r92667 = r92665 - r92666;
        double r92668 = z;
        double r92669 = r92667 * r92668;
        double r92670 = r92664 - r92669;
        double r92671 = t;
        double r92672 = r92671 - r92666;
        double r92673 = a;
        double r92674 = r92672 * r92673;
        double r92675 = r92670 - r92674;
        double r92676 = r92665 + r92671;
        double r92677 = 2.0;
        double r92678 = r92676 - r92677;
        double r92679 = b;
        double r92680 = r92678 * r92679;
        double r92681 = r92675 + r92680;
        return r92681;
}
↓
double f(double x, double y, double z, double t, double a, double b) {
        double r92682 = x;
        double r92683 = y;
        double r92684 = 1.0;
        double r92685 = r92683 - r92684;
        double r92686 = z;
        double r92687 = r92685 * r92686;
        double r92688 = -r92687;
        double r92689 = t;
        double r92690 = r92689 - r92684;
        double r92691 = a;
        double r92692 = r92690 * r92691;
        double r92693 = r92688 - r92692;
        double r92694 = r92683 + r92689;
        double r92695 = 2.0;
        double r92696 = r92694 - r92695;
        double r92697 = b;
        double r92698 = r92696 * r92697;
        double r92699 = r92693 + r92698;
        double r92700 = r92682 + r92699;
        return r92700;
}

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 2020081 
(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)))