Average Error: 30.4 → 30.4
Time: 2.1s
Precision: binary64
\[\frac{1}{\sin x} - \frac{1}{\sin \left(x - 9.99999999999999955 \cdot 10^{-7}\right)}\]
↓
\[\frac{1}{\sin x} - \frac{1}{\sin \left(x - 9.99999999999999955 \cdot 10^{-7}\right)}\]
\frac{1}{\sin x} - \frac{1}{\sin \left(x - 9.99999999999999955 \cdot 10^{-7}\right)}
↓
\frac{1}{\sin x} - \frac{1}{\sin \left(x - 9.99999999999999955 \cdot 10^{-7}\right)}
double code(double x) {
	return ((double) (((double) (1.0 / ((double) sin(x)))) - ((double) (1.0 / ((double) sin(((double) (x - 1e-06))))))));
}
↓
double code(double x) {
	return ((double) (((double) (1.0 / ((double) sin(x)))) - ((double) (1.0 / ((double) sin(((double) (x - 1e-06))))))));
}

Error

Bits error versus x

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 30.4

    \[\frac{1}{\sin x} - \frac{1}{\sin \left(x - 9.99999999999999955 \cdot 10^{-7}\right)}\]

  2. Final simplification30.4

    \[\leadsto \frac{1}{\sin x} - \frac{1}{\sin \left(x - 9.99999999999999955 \cdot 10^{-7}\right)}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(- (/ 1 (sin x)) (/ 1 (sin (- x 1e-06))))"
  :precision binary64
  (- (/ 1.0 (sin x)) (/ 1.0 (sin (- x 1e-06)))))