Average Error: 0.5 → 0.5
Time: 5.7s
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) pow(((double) exp(((double) sqrt(((double) log(((double) acos(((double) (((double) (1.0 - ((double) (5.0 * ((double) (v * v)))))) / ((double) (((double) (v * v)) - 1.0)))))))))))), ((double) sqrt(((double) log(((double) acos(((double) (((double) (1.0 - ((double) (5.0 * ((double) (v * v)))))) / ((double) (((double) (v * v)) - 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 0.5
    \[\]
  2. Using strategy rm
  3. Applied add-exp-log0.5
    \[\leadsto \]
  4. Using strategy rm
  5. Applied add-sqr-sqrt0.5
    \[\leadsto \]
  6. Applied exp-prod0.5
    \[\leadsto \]
  7. Final simplification0.5
    \[\leadsto \]
Reproduce
herbie shell --seed 2020181 
(FPCore (v)
  :name "Falkner and Boettcher, Appendix B, 1"
  :precision binary64
  (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))