Average Error: 28.5 → 28.5
Time: 10.4s
Precision: 64
Internal Precision: 2368
\[\sin \left(exp \cdot x - 1\right)\]
\[\log \left(\log \left(e^{e^{\sin \left(exp \cdot x - 1\right)}}\right)\right)\]

Error

Bits error versus exp

Bits error versus x

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 28.5

    \[\sin \left(exp \cdot x - 1\right)\]
  2. Using strategy rm
  3. Applied add-log-exp28.5

    \[\leadsto \color{blue}{\log \left(e^{\sin \left(exp \cdot x - 1\right)}\right)}\]
  4. Using strategy rm
  5. Applied add-log-exp28.5

    \[\leadsto \log \color{blue}{\left(\log \left(e^{e^{\sin \left(exp \cdot x - 1\right)}}\right)\right)}\]
  6. Final simplification28.5

    \[\leadsto \log \left(\log \left(e^{e^{\sin \left(exp \cdot x - 1\right)}}\right)\right)\]

Runtime

Time bar (total: 10.4s)Debug log

herbie shell --seed '#(2775764126 3555076145 3898259844 1891440260 2599947619 1948460636)' 
(FPCore (exp x)
  :name "sin((exp x) - 1)"
  (sin (- (* exp x) 1)))