Average Error: 15.0 → 15.0
Time: 984.0ms
Precision: binary64
\[\frac{a \cdot \left(1 - e \cdot e\right)}{1 - e \cdot b}\]
↓
\[\frac{a \cdot \left(1 - e \cdot e\right)}{1 - e \cdot b}\]
\frac{a \cdot \left(1 - e \cdot e\right)}{1 - e \cdot b}
↓
\frac{a \cdot \left(1 - e \cdot e\right)}{1 - e \cdot b}
double code(double a, double e, double b) {
	return ((double) (((double) (a * ((double) (1.0 - ((double) (e * e)))))) / ((double) (1.0 - ((double) (e * b))))));
}
↓
double code(double a, double e, double b) {
	return ((double) (((double) (a * ((double) (1.0 - ((double) (e * e)))))) / ((double) (1.0 - ((double) (e * b))))));
}

Error

Bits error versus a

Bits error versus e

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 15.0

    \[\frac{a \cdot \left(1 - e \cdot e\right)}{1 - e \cdot b}\]

  2. Final simplification15.0

    \[\leadsto \frac{a \cdot \left(1 - e \cdot e\right)}{1 - e \cdot b}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (a e b)
  :name "(/ (* a (- 1.0 (* e e))) (- 1.0 (* e b)))"
  :precision binary64
  (/ (* a (- 1.0 (* e e))) (- 1.0 (* e b))))