Average Error: 0.0 → 0.0
Time: 10.5s
Precision: binary64
\[\left(\left(x - \left(y - 1\right) \cdot z\right) - \left(t - 1\right) \cdot a\right) + \left(\left(y + t\right) - 2\right) \cdot b\]
↓
\[x + \left(\left(y + \left(t - 2\right)\right) \cdot b + \left(\left(z - y \cdot z\right) + \left(a - t \cdot a\right)\right)\right)\]
\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(y + \left(t - 2\right)\right) \cdot b + \left(\left(z - y \cdot z\right) + \left(a - t \cdot a\right)\right)\right)
(FPCore (x y z t a b)
 :precision binary64
 (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b)))
↓
(FPCore (x y z t a b)
 :precision binary64
 (+ x (+ (* (+ y (- t 2.0)) b) (+ (- z (* y z)) (- a (* t a))))))
double code(double x, double y, double z, double t, double a, double b) {
	return ((x - ((y - 1.0) * z)) - ((t - 1.0) * a)) + (((y + t) - 2.0) * b);
}
↓
double code(double x, double y, double z, double t, double a, double b) {
	return x + (((y + (t - 2.0)) * b) + ((z - (y * z)) + (a - (t * a))));
}

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. Simplified0.0

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2021176 
(FPCore (x y z t a b)
  :name "Statistics.Distribution.Beta:$centropy from math-functions-0.1.5.2"
  :precision binary64
  (+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b)))