Average Error: 0.0 → 0.0
Time: 549.0ms
Precision: binary64
\[\tan^{-1} \left(x \cdot x - 1\right)\]
↓
\[\tan^{-1} \left(x \cdot x - 1\right)\]
\tan^{-1} \left(x \cdot x - 1\right)
↓
\tan^{-1} \left(x \cdot x - 1\right)
double code(double x) {
	return ((double) atan(((double) (((double) (x * x)) - 1.0))));
}
↓
double code(double x) {
	return ((double) atan(((double) (((double) (x * x)) - 1.0))));
}

Error

Bits error versus x

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\tan^{-1} \left(x \cdot x - 1\right)\]

  2. Final simplification0.0

    \[\leadsto \tan^{-1} \left(x \cdot x - 1\right)\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(atan (- (* x x) 1.0))"
  :precision binary64
  (atan (- (* x x) 1.0)))