Average Error: 3.7 → 3.7
Time: 972.0ms
Precision: binary64
\[\frac{x \cdot y}{a} + z\]
↓
\[\frac{x \cdot y}{a} + z\]
\frac{x \cdot y}{a} + z
↓
\frac{x \cdot y}{a} + z
double code(double x, double y, double a, double z) {
	return ((double) (((double) (((double) (x * y)) / a)) + z));
}
↓
double code(double x, double y, double a, double z) {
	return ((double) (((double) (((double) (x * y)) / a)) + z));
}

Error

Bits error versus x

Bits error versus y

Bits error versus a

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 3.7

    \[\frac{x \cdot y}{a} + z\]

  2. Final simplification3.7

    \[\leadsto \frac{x \cdot y}{a} + z\]

Reproduce

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