Average Error: 0.6 → 0.6
Time: 818.0ms
Precision: binary64
\[\frac{x \cdot 10^{9} + y}{z}\]
↓
\[\frac{x \cdot 10^{9} + y}{z}\]
\frac{x \cdot 10^{9} + y}{z}
↓
\frac{x \cdot 10^{9} + y}{z}
double code(double x, double y, double z) {
	return ((double) (((double) (((double) (x * 1000000000.0)) + y)) / z));
}
↓
double code(double x, double y, double z) {
	return ((double) (((double) (((double) (x * 1000000000.0)) + y)) / z));
}

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 0.6

    \[\frac{x \cdot 10^{9} + y}{z}\]

  2. Final simplification0.6

    \[\leadsto \frac{x \cdot 10^{9} + y}{z}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x y z)
  :name "(/ (+ (* x 1000000000.0) y) z)"
  :precision binary64
  (/ (+ (* x 1000000000.0) y) z))