Average Error: 0.1 → 0.1
Time: 892.0ms
Precision: binary64
\[1 - \frac{x}{2} \cdot \left(1 - \frac{x}{3} \cdot \left(1 - \frac{x}{4}\right)\right)\]
↓
\[1 - \frac{x}{2} \cdot \left(1 - \frac{x}{3} \cdot \left(1 - \frac{x}{4}\right)\right)\]
1 - \frac{x}{2} \cdot \left(1 - \frac{x}{3} \cdot \left(1 - \frac{x}{4}\right)\right)
↓
1 - \frac{x}{2} \cdot \left(1 - \frac{x}{3} \cdot \left(1 - \frac{x}{4}\right)\right)
double code(double x) {
	return ((double) (1.0 - ((double) (((double) (x / 2.0)) * ((double) (1.0 - ((double) (((double) (x / 3.0)) * ((double) (1.0 - ((double) (x / 4.0))))))))))));
}
↓
double code(double x) {
	return ((double) (1.0 - ((double) (((double) (x / 2.0)) * ((double) (1.0 - ((double) (((double) (x / 3.0)) * ((double) (1.0 - ((double) (x / 4.0))))))))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[1 - \frac{x}{2} \cdot \left(1 - \frac{x}{3} \cdot \left(1 - \frac{x}{4}\right)\right)\]

  2. Final simplification0.1

    \[\leadsto 1 - \frac{x}{2} \cdot \left(1 - \frac{x}{3} \cdot \left(1 - \frac{x}{4}\right)\right)\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(- 1 (* (/ x 2) (- 1 (* (/ x 3) (- 1 (/ x 4))))))"
  :precision binary64
  (- 1.0 (* (/ x 2.0) (- 1.0 (* (/ x 3.0) (- 1.0 (/ x 4.0)))))))