Average Error: 15.1 → 0.4
Time: 2.2s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double N) {
	return ((double) (((double) atan(((double) (N + 1.0)))) - ((double) atan(N))));
}

↓
double code(double N) {
	return ((double) atan2(1.0, ((double) (1.0 + ((double) (N * ((double) (1.0 + N))))))));
}

Error
Bits error versus N
Try it out
Your Program's Arguments
Results
Enter valid numbers for all inputs
Target
Original15.1
Target0.4
Herbie0.4
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Derivation
  1. Initial program 15.1
    \[\]
  2. Using strategy rm
  3. Applied diff-atan13.9
    \[\leadsto \]
  4. Simplified0.4
    \[\leadsto \]
  5. Simplified0.4
    \[\leadsto \]
  6. Final simplification0.4
    \[\leadsto \]
Reproduce
herbie shell --seed 2020192 
(FPCore (N)
  :name "2atan (example 3.5)"
  :precision binary64

  :herbie-target
  (atan (/ 1.0 (+ 1.0 (* N (+ N 1.0)))))

  (- (atan (+ N 1.0)) (atan N)))