Average Error: 0.0 → 0.0
Time: 450.0ms
Precision: binary64
\[y \cdot \frac{165}{65536} - 40\]
↓
\[y \cdot \frac{165}{65536} - 40\]
y \cdot \frac{165}{65536} - 40
↓
y \cdot \frac{165}{65536} - 40
double code(double y) {
	return ((double) (((double) (y * ((double) (165.0 / 65536.0)))) - 40.0));
}
↓
double code(double y) {
	return ((double) (((double) (y * ((double) (165.0 / 65536.0)))) - 40.0));
}

Error

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[y \cdot \frac{165}{65536} - 40\]

  2. Final simplification0.0

    \[\leadsto y \cdot \frac{165}{65536} - 40\]

Reproduce

herbie shell --seed 2020153 
(FPCore (y)
  :name "(- (* y (/ 165 65536)) 40)"
  :precision binary64
  (- (* y (/ 165.0 65536.0)) 40.0))