Average Error: 2.5 → 2.5
Time: 731.0ms
Precision: binary64
\[\frac{x}{\frac{x - y}{z - 1}}\]
↓
\[\frac{x}{\frac{x - y}{z - 1}}\]
\frac{x}{\frac{x - y}{z - 1}}
↓
\frac{x}{\frac{x - y}{z - 1}}
double code(double x, double y, double z) {
	return ((double) (x / ((double) (((double) (x - y)) / ((double) (z - 1.0))))));
}
↓
double code(double x, double y, double z) {
	return ((double) (x / ((double) (((double) (x - y)) / ((double) (z - 1.0))))));
}

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 2.5

    \[\frac{x}{\frac{x - y}{z - 1}}\]

  2. Final simplification2.5

    \[\leadsto \frac{x}{\frac{x - y}{z - 1}}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x y z)
  :name "(/ x (/ (- x y) (- z 1)))"
  :precision binary64
  (/ x (/ (- x y) (- z 1.0))))