Average Error: 0.1 → 0.1
Time: 567.0ms
Precision: binary64
\[\frac{value}{1 + \frac{rate}{100}}\]
↓
\[\frac{value}{1 + \frac{rate}{100}}\]
\frac{value}{1 + \frac{rate}{100}}
↓
\frac{value}{1 + \frac{rate}{100}}
double code(double value, double rate) {
	return ((double) (value / ((double) (1.0 + ((double) (rate / 100.0))))));
}
↓
double code(double value, double rate) {
	return ((double) (value / ((double) (1.0 + ((double) (rate / 100.0))))));
}

Error

Bits error versus value

Bits error versus rate

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[\frac{value}{1 + \frac{rate}{100}}\]

  2. Final simplification0.1

    \[\leadsto \frac{value}{1 + \frac{rate}{100}}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (value rate)
  :name "(/ value (+ 1 (/ rate 100.0)))"
  :precision binary64
  (/ value (+ 1.0 (/ rate 100.0))))