Average Error: 6.6 → 6.6
Time: 26.0s
Precision: 64
Internal Precision: 1344
\[\sin \left(\tan x\right) - \tan \left(\sin x\right)\]
\[\sin \left(\frac{\sin x}{\cos x}\right) - \tan \left(\sin x\right)\]

Error

Bits error versus x

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 6.6

    \[\sin \left(\tan x\right) - \tan \left(\sin x\right)\]
  2. Taylor expanded around inf 6.6

    \[\leadsto \color{blue}{\sin \left(\frac{\sin x}{\cos x}\right)} - \tan \left(\sin x\right)\]

Runtime

Time bar (total: 26.0s)Debug log

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