Average Error: 0.4 → 0.4
Time: 672.0ms
Precision: binary64
\[\frac{value \cdot \left(100 + rate\right)}{100}\]
↓
\[\frac{value \cdot \left(100 + rate\right)}{100}\]
\frac{value \cdot \left(100 + rate\right)}{100}
↓
\frac{value \cdot \left(100 + rate\right)}{100}
double code(double value, double rate) {
	return ((double) (((double) (value * ((double) (100.0 + rate)))) / 100.0));
}
↓
double code(double value, double rate) {
	return ((double) (((double) (value * ((double) (100.0 + 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 0.4

    \[\frac{value \cdot \left(100 + rate\right)}{100}\]

  2. Final simplification0.4

    \[\leadsto \frac{value \cdot \left(100 + rate\right)}{100}\]

Reproduce

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