Average Error: 0.0 → 0.0
Time: 464.0ms
Precision: binary64
\[\frac{x - 10^{7}}{2} + 10^{7}\]
↓
\[\frac{x - 10^{7}}{2} + 10^{7}\]
\frac{x - 10^{7}}{2} + 10^{7}
↓
\frac{x - 10^{7}}{2} + 10^{7}
double code(double x) {
	return ((double) (((double) (((double) (x - 10000000.0)) / 2.0)) + 10000000.0));
}
↓
double code(double x) {
	return ((double) (((double) (((double) (x - 10000000.0)) / 2.0)) + 10000000.0));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\frac{x - 10^{7}}{2} + 10^{7}\]

  2. Final simplification0.0

    \[\leadsto \frac{x - 10^{7}}{2} + 10^{7}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(+ (/ (- x 10000000.0) 2) 10000000.0)"
  :precision binary64
  (+ (/ (- x 10000000.0) 2.0) 10000000.0))