Average Error: 1.0 → 1.0
Time: 2.1s
Precision: binary64
\[\frac{\cos^{-1} \left(\frac{s}{v \cdot \sqrt{v}}\right)}{3}\]
↓
\[\frac{\cos^{-1} \left(\frac{s}{v \cdot \sqrt{v}}\right)}{3}\]
\frac{\cos^{-1} \left(\frac{s}{v \cdot \sqrt{v}}\right)}{3}
↓
\frac{\cos^{-1} \left(\frac{s}{v \cdot \sqrt{v}}\right)}{3}
double code(double s, double v) {
	return ((double) (((double) acos(((double) (s / ((double) (v * ((double) sqrt(v)))))))) / 3.0));
}
↓
double code(double s, double v) {
	return ((double) (((double) acos(((double) (s / ((double) (v * ((double) sqrt(v)))))))) / 3.0));
}

Error

Bits error versus s

Bits error versus v

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 1.0

    \[\frac{\cos^{-1} \left(\frac{s}{v \cdot \sqrt{v}}\right)}{3}\]

  2. Final simplification1.0

    \[\leadsto \frac{\cos^{-1} \left(\frac{s}{v \cdot \sqrt{v}}\right)}{3}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (s v)
  :name "(/ (acos (/ s (* v (sqrt v)))) 3)"
  :precision binary64
  (/ (acos (/ s (* v (sqrt v)))) 3.0))