Average Error: 1.0 → 1.0
Time: 2.6s
Precision: binary64
\[\frac{\cos^{-1} \left(\frac{c}{\left(2 \cdot \sqrt{\frac{b}{3}}\right) \cdot \frac{b}{3}}\right)}{3}\]
↓
\[\frac{\cos^{-1} \left(\frac{c}{\left(2 \cdot \sqrt{\frac{b}{3}}\right) \cdot \frac{b}{3}}\right)}{3}\]
\frac{\cos^{-1} \left(\frac{c}{\left(2 \cdot \sqrt{\frac{b}{3}}\right) \cdot \frac{b}{3}}\right)}{3}
↓
\frac{\cos^{-1} \left(\frac{c}{\left(2 \cdot \sqrt{\frac{b}{3}}\right) \cdot \frac{b}{3}}\right)}{3}
double code(double c, double b) {
	return ((double) (((double) acos(((double) (c / ((double) (((double) (2.0 * ((double) sqrt(((double) (b / 3.0)))))) * ((double) (b / 3.0)))))))) / 3.0));
}
↓
double code(double c, double b) {
	return ((double) (((double) acos(((double) (c / ((double) (((double) (2.0 * ((double) sqrt(((double) (b / 3.0)))))) * ((double) (b / 3.0)))))))) / 3.0));
}

Error

Bits error versus c

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 1.0

    \[\frac{\cos^{-1} \left(\frac{c}{\left(2 \cdot \sqrt{\frac{b}{3}}\right) \cdot \frac{b}{3}}\right)}{3}\]

  2. Final simplification1.0

    \[\leadsto \frac{\cos^{-1} \left(\frac{c}{\left(2 \cdot \sqrt{\frac{b}{3}}\right) \cdot \frac{b}{3}}\right)}{3}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (c b)
  :name "(/ (acos (/ c (* (* 2 (sqrt (/ b 3))) (/ b 3)))) 3)"
  :precision binary64
  (/ (acos (/ c (* (* 2.0 (sqrt (/ b 3.0))) (/ b 3.0)))) 3.0))