Average Error: 6.2 → 6.2
Time: 778.0ms
Precision: binary64
\[\frac{\frac{x}{y}}{z}\]
↓
\[\frac{\frac{x}{y}}{z}\]
\frac{\frac{x}{y}}{z}
↓
\frac{\frac{x}{y}}{z}
double code(double x, double y, double z) {
	return ((double) (((double) (x / y)) / z));
}
↓
double code(double x, double y, double z) {
	return ((double) (((double) (x / y)) / z));
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 6.2

    \[\frac{\frac{x}{y}}{z}\]

  2. Final simplification6.2

    \[\leadsto \frac{\frac{x}{y}}{z}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x y z)
  :name "(/ (/ x y) z)"
  :precision binary64
  (/ (/ x y) z))