Average Error: 0.6 → 0.8
Time: 5.9s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double v) {
	return ((double) acos(((double) (((double) (1.0 - ((double) (5.0 * ((double) (v * v)))))) / ((double) (((double) (v * v)) - 1.0))))));
}

↓
double code(double v) {
	return ((double) acos(((double) (((double) (v * ((double) (((double) (v + ((double) pow(v, 3.0)))) * 4.0)))) - 1.0))));
}

Error
Bits error versus v
Try it out
Your Program's Arguments
Results
Enter valid numbers for all inputs
Derivation
  1. Initial program 0.6
    \[\]
  2. Taylor expanded around 0 0.8
    \[\leadsto \]
  3. Simplified0.8
    \[\leadsto \]
  4. Final simplification0.8
    \[\leadsto \]
Reproduce
herbie shell --seed 2020191 
(FPCore (v)
  :name "Falkner and Boettcher, Appendix B, 1"
  :precision binary64
  (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))