Average Error: 58.6 → 0.3
Time: 6.4s
Precision: binary64
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↓
\[\]
↓
double code(double eps) {
	return ((double) log(((double) (((double) (1.0 - eps)) / ((double) (1.0 + eps))))));
}

↓
double code(double eps) {
	return ((double) (((double) (((double) pow(((double) (eps / 1.0)), 3.0)) * -0.6666666666666666)) + ((double) (((double) (((double) (((double) pow(eps, 5.0)) / ((double) pow(1.0, 5.0)))) * -0.4)) - ((double) (eps * 2.0))))));
}

Error
Bits error versus eps
Try it out
Your Program's Arguments
Results
Enter valid numbers for all inputs
Target
Original58.6
Target0.3
Herbie0.3
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Derivation
  1. Initial program 58.6
    \[\]
  2. Using strategy rm
  3. Applied log-div58.5
    \[\leadsto \]
  4. Taylor expanded around 0 0.3
    \[\leadsto \]
  5. Simplified0.3
    \[\leadsto \]
  6. Final simplification0.3
    \[\leadsto \]
Reproduce
herbie shell --seed 2020191 
(FPCore (eps)
  :name "logq (problem 3.4.3)"
  :precision binary64

  :herbie-target
  (* -2.0 (+ (+ eps (/ (pow eps 3.0) 3.0)) (/ (pow eps 5.0) 5.0)))

  (log (/ (- 1.0 eps) (+ 1.0 eps))))