Average Error: 8.9 → 8.9
Time: 1.2s
Precision: binary64
\[2 - \frac{sinx}{{sin}^{2}} \cdot x\]
↓
\[2 - \frac{sinx}{{sin}^{2}} \cdot x\]
2 - \frac{sinx}{{sin}^{2}} \cdot x
↓
2 - \frac{sinx}{{sin}^{2}} \cdot x
double code(double sinx, double sin, double x) {
	return ((double) (2.0 - ((double) (((double) (sinx / ((double) pow(sin, 2.0)))) * x))));
}
↓
double code(double sinx, double sin, double x) {
	return ((double) (2.0 - ((double) (((double) (sinx / ((double) pow(sin, 2.0)))) * x))));
}

Error

Bits error versus sinx

Bits error versus sin

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 8.9

    \[2 - \frac{sinx}{{sin}^{2}} \cdot x\]

  2. Final simplification8.9

    \[\leadsto 2 - \frac{sinx}{{sin}^{2}} \cdot x\]

Reproduce

herbie shell --seed 2020152 
(FPCore (sinx sin x)
  :name "(- 2 (* (/ sinx (pow sin 2)) x))"
  :precision binary64
  (- 2.0 (* (/ sinx (pow sin 2.0)) x)))