Average Error: 29.4 → 0.0
Time: 6.7s
Precision: 64
Internal Precision: 1344
\[\tan \left(\tan^{-1} \left(x + {10}^{\left(-50\right)}\right)\right)\]
\[x + {10}^{\left(-50\right)}\]

Error

Bits error versus x

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 29.4

    \[\tan \left(\tan^{-1} \left(x + {10}^{\left(-50\right)}\right)\right)\]
  2. Initial simplification29.4

    \[\leadsto \tan \left(\tan^{-1} \left(x + {10}^{\left(-50\right)}\right)\right)\]
  3. Using strategy rm
  4. Applied tan-atan0.0

    \[\leadsto \color{blue}{x + {10}^{\left(-50\right)}}\]
  5. Final simplification0.0

    \[\leadsto x + {10}^{\left(-50\right)}\]

Runtime

Time bar (total: 6.7s)Debug log

herbie shell --seed '#(2775764126 3555076145 3898259844 1891440260 2599947619 1948460636)' 
(FPCore (x)
  :name "tan(atan(x + 10^-50))"
  (tan (atan (+ x (pow 10 (- 50))))))