Average Error: 31.5 → 31.5
Time: 9.8s
Precision: 64
Internal Precision: 2368
\[\log \left(x + \sqrt{x \cdot x - 1}\right)\]
↓
\[\log \left(x + \sqrt{x \cdot x - 1}\right)\]

Error

Bits error versus x

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 31.5

    \[\log \left(x + \sqrt{x \cdot x - 1}\right)\]

  2. Final simplification31.5

    \[\leadsto \log \left(x + \sqrt{x \cdot x - 1}\right)\]

Runtime

Time bar (total: 9.8s)Debug logProfile

herbie shell --seed 2018221 
(FPCore (x)
  :name "Hyperbolic arc-cosine"
  (log (+ x (sqrt (- (* x x) 1)))))