Average Error: 26.3 → 26.3
Time: 2.1s
Precision: binary64
\[\frac{\sin x - 32.030000000000001 \cdot pi}{\cos \left(x + 1\right)}\]
↓
\[\frac{\sin x - 32.030000000000001 \cdot pi}{\cos \left(x + 1\right)}\]
\frac{\sin x - 32.030000000000001 \cdot pi}{\cos \left(x + 1\right)}
↓
\frac{\sin x - 32.030000000000001 \cdot pi}{\cos \left(x + 1\right)}
double code(double x, double pi) {
	return ((double) (((double) (((double) sin(x)) - ((double) (32.03 * pi)))) / ((double) cos(((double) (x + 1.0))))));
}
↓
double code(double x, double pi) {
	return ((double) (((double) (((double) sin(x)) - ((double) (32.03 * pi)))) / ((double) cos(((double) (x + 1.0))))));
}

Error

Bits error versus x

Bits error versus pi

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 26.3

    \[\frac{\sin x - 32.030000000000001 \cdot pi}{\cos \left(x + 1\right)}\]

  2. Final simplification26.3

    \[\leadsto \frac{\sin x - 32.030000000000001 \cdot pi}{\cos \left(x + 1\right)}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x pi)
  :name "(/ (- (sin x) (* 32.03 pi)) (cos (+ x 1)))"
  :precision binary64
  (/ (- (sin x) (* 32.03 pi)) (cos (+ x 1.0))))