Average Error: 0.2 → 0
Time: 3.3s
Precision: 64
Internal Precision: 320
\[\frac{\left(\frac{\sin \varepsilon}{\cos x \cdot \cos \varepsilon} \cdot \cos x\right) \cdot \cos \varepsilon}{\sin \varepsilon}\]
\[1\]

Error

Bits error versus eps

Bits error versus x

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.2

    \[\frac{\left(\frac{\sin \varepsilon}{\cos x \cdot \cos \varepsilon} \cdot \cos x\right) \cdot \cos \varepsilon}{\sin \varepsilon}\]
  2. Applied simplify0

    \[\leadsto \color{blue}{1}\]

Runtime

Time bar (total: 3.3s)Debug log

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