Average Error: 14.9 → 14.9
Time: 14.1s
Precision: 64
Internal Precision: 1344
\[\frac{\tan^{-1} x - x}{x}\]
\[\log \left(e^{\frac{\tan^{-1} x - x}{x}}\right)\]

Error

Bits error versus x

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 14.9

    \[\frac{\tan^{-1} x - x}{x}\]
  2. Using strategy rm
  3. Applied add-log-exp14.9

    \[\leadsto \color{blue}{\log \left(e^{\frac{\tan^{-1} x - x}{x}}\right)}\]

Runtime

Time bar (total: 14.1s)Debug log

herbie shell --seed '#(2775764126 3555076145 3898259844 1891440260 2599947619 1948460636)' 
(FPCore (x)
  :name "(atan(x)-x)/x"
  (/ (- (atan x) x) x))