Average Error: 0.2 → 0.2
Time: 11.3s
Precision: 64
Internal Precision: 576
\[\frac{x \cdot \cos^{-1} x}{\sin \left(\cos^{-1} x\right)}\]
\[\frac{x \cdot \cos^{-1} x}{\sin \left(\cos^{-1} x\right)}\]

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.2

    \[\frac{x \cdot \cos^{-1} x}{\sin \left(\cos^{-1} x\right)}\]
  2. Initial simplification0.2

    \[\leadsto \frac{x \cdot \cos^{-1} x}{\sin \left(\cos^{-1} x\right)}\]
  3. Final simplification0.2

    \[\leadsto \frac{x \cdot \cos^{-1} x}{\sin \left(\cos^{-1} x\right)}\]

Runtime

Time bar (total: 11.3s)Debug log

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