Average Error: 0.0 → 0.0
Time: 10.0s
Precision: 64
\[\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\]
↓
\[x + \left(\left(\left(y + t\right) - 2\right) \cdot b - \left(\left(y - 1\right) \cdot z + \left(t - 1\right) \cdot a\right)\right)\]
\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(y + t\right) - 2\right) \cdot b - \left(\left(y - 1\right) \cdot z + \left(t - 1\right) \cdot a\right)\right)
double f(double x, double y, double z, double t, double a, double b) {
        double r31750 = x;
        double r31751 = y;
        double r31752 = 1.0;
        double r31753 = r31751 - r31752;
        double r31754 = z;
        double r31755 = r31753 * r31754;
        double r31756 = r31750 - r31755;
        double r31757 = t;
        double r31758 = r31757 - r31752;
        double r31759 = a;
        double r31760 = r31758 * r31759;
        double r31761 = r31756 - r31760;
        double r31762 = r31751 + r31757;
        double r31763 = 2.0;
        double r31764 = r31762 - r31763;
        double r31765 = b;
        double r31766 = r31764 * r31765;
        double r31767 = r31761 + r31766;
        return r31767;
}
↓
double f(double x, double y, double z, double t, double a, double b) {
        double r31768 = x;
        double r31769 = y;
        double r31770 = t;
        double r31771 = r31769 + r31770;
        double r31772 = 2.0;
        double r31773 = r31771 - r31772;
        double r31774 = b;
        double r31775 = r31773 * r31774;
        double r31776 = 1.0;
        double r31777 = r31769 - r31776;
        double r31778 = z;
        double r31779 = r31777 * r31778;
        double r31780 = r31770 - r31776;
        double r31781 = a;
        double r31782 = r31780 * r31781;
        double r31783 = r31779 + r31782;
        double r31784 = r31775 - r31783;
        double r31785 = r31768 + r31784;
        return r31785;
}

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

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

  7. Final simplification0.0

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

Reproduce

herbie shell --seed 2020046 
(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)))