Average Error: 0.0 → 0.0
Time: 2.5s
Precision: binary64
\[\left(\left(\left(\left(\left(\frac{a}{n} + \frac{b}{n}\right) + \frac{c}{n}\right) + \frac{d}{n}\right) + \frac{e}{n}\right) + \frac{f}{n}\right) + \frac{g}{n}\]
↓
\[\left(\left(\left(\left(\left(\frac{a}{n} + \frac{b}{n}\right) + \frac{c}{n}\right) + \frac{d}{n}\right) + \frac{e}{n}\right) + \frac{f}{n}\right) + \frac{g}{n}\]
\left(\left(\left(\left(\left(\frac{a}{n} + \frac{b}{n}\right) + \frac{c}{n}\right) + \frac{d}{n}\right) + \frac{e}{n}\right) + \frac{f}{n}\right) + \frac{g}{n}
↓
\left(\left(\left(\left(\left(\frac{a}{n} + \frac{b}{n}\right) + \frac{c}{n}\right) + \frac{d}{n}\right) + \frac{e}{n}\right) + \frac{f}{n}\right) + \frac{g}{n}
double code(double a, double n, double b, double c, double d, double e, double f, double g) {
	return ((double) (((double) (((double) (((double) (((double) (((double) (((double) (a / n)) + ((double) (b / n)))) + ((double) (c / n)))) + ((double) (d / n)))) + ((double) (e / n)))) + ((double) (f / n)))) + ((double) (g / n))));
}
↓
double code(double a, double n, double b, double c, double d, double e, double f, double g) {
	return ((double) (((double) (((double) (((double) (((double) (((double) (((double) (a / n)) + ((double) (b / n)))) + ((double) (c / n)))) + ((double) (d / n)))) + ((double) (e / n)))) + ((double) (f / n)))) + ((double) (g / n))));
}

Error

Bits error versus a

Bits error versus n

Bits error versus b

Bits error versus c

Bits error versus d

Bits error versus e

Bits error versus f

Bits error versus g

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\left(\left(\left(\left(\left(\frac{a}{n} + \frac{b}{n}\right) + \frac{c}{n}\right) + \frac{d}{n}\right) + \frac{e}{n}\right) + \frac{f}{n}\right) + \frac{g}{n}\]

  2. Final simplification0.0

    \[\leadsto \left(\left(\left(\left(\left(\frac{a}{n} + \frac{b}{n}\right) + \frac{c}{n}\right) + \frac{d}{n}\right) + \frac{e}{n}\right) + \frac{f}{n}\right) + \frac{g}{n}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (a n b c d e f g)
  :name "(+ (+ (+ (+ (+ (+ (/ a n) (/ b n)) (/ c n)) (/ d n)) (/ e n)) (/ f n)) (/ g n))"
  :precision binary64
  (+ (+ (+ (+ (+ (+ (/ a n) (/ b n)) (/ c n)) (/ d n)) (/ e n)) (/ f n)) (/ g n)))