Average Error: 1.0 → 0
Time: 5.6s
Precision: 64
Internal Precision: 320
\[\sin^{-1} \left(\cos^{-1} \left(\tan^{-1} \left(\tan \left(\cos \left(\sin 9\right)\right)\right)\right)\right)\]
\[\sin^{-1} \left(\log \left(e^{\cos^{-1} \left(\tan^{-1} \left(\tan \left(\cos \left(\sin 9\right)\right)\right)\right)}\right)\right)\]

Error

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Your Program's Arguments

    Results

    Enter valid numbers for all inputs

    Derivation

    1. Initial program 1.0

      \[\sin^{-1} \left(\cos^{-1} \left(\tan^{-1} \left(\tan \left(\cos \left(\sin 9\right)\right)\right)\right)\right)\]
    2. Using strategy rm
    3. Applied add-log-exp0

      \[\leadsto \sin^{-1} \color{blue}{\left(\log \left(e^{\cos^{-1} \left(\tan^{-1} \left(\tan \left(\cos \left(\sin 9\right)\right)\right)\right)}\right)\right)}\]
    4. Final simplification0

      \[\leadsto \sin^{-1} \left(\log \left(e^{\cos^{-1} \left(\tan^{-1} \left(\tan \left(\cos \left(\sin 9\right)\right)\right)\right)}\right)\right)\]

    Runtime

    Time bar (total: 5.6s)Debug log

    herbie shell --seed '#(2775764126 3555076145 3898259844 1891440260 2599947619 1948460636)' 
    (FPCore ()
      :name "asin (acos (atan (tan (cos (sin (9) ) ) ) ) )"
      (asin (acos (atan (tan (cos (sin 9)))))))