Average Error: 11.1 → 11.1
Time: 1.1s
Precision: binary64
\[\frac{\frac{\frac{\frac{1}{a}}{b}}{c}}{d}\]
↓
\[\frac{\frac{\frac{\frac{1}{a}}{b}}{c}}{d}\]
\frac{\frac{\frac{\frac{1}{a}}{b}}{c}}{d}
↓
\frac{\frac{\frac{\frac{1}{a}}{b}}{c}}{d}
double code(double a, double b, double c, double d) {
	return ((double) (((double) (((double) (((double) (1.0 / a)) / b)) / c)) / d));
}
↓
double code(double a, double b, double c, double d) {
	return ((double) (((double) (((double) (((double) (1.0 / a)) / b)) / c)) / d));
}

Error

Bits error versus a

Bits error versus b

Bits error versus c

Bits error versus d

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 11.1

    \[\frac{\frac{\frac{\frac{1}{a}}{b}}{c}}{d}\]

  2. Final simplification11.1

    \[\leadsto \frac{\frac{\frac{\frac{1}{a}}{b}}{c}}{d}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (a b c d)
  :name "(/ (/ (/ (/ 1 a) b) c) d)"
  :precision binary64
  (/ (/ (/ (/ 1.0 a) b) c) d))