Average Error: 29.7 → 30.1
Time: 21.7s
Precision: 64
Internal Precision: 576
\[2 \cdot \sin \left({x}^{2}\right)\]
\[2 \cdot \left(\left(\sqrt[3]{\sin \left({x}^{2}\right)} \cdot \sqrt[3]{\left(\sqrt[3]{\sin \left({x}^{2}\right)} \cdot \sqrt[3]{\sin \left({x}^{2}\right)}\right) \cdot \sqrt[3]{\sin \left({x}^{2}\right)}}\right) \cdot \sqrt[3]{\sin \left({x}^{2}\right)}\right)\]

Error

Bits error versus x

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 29.7

    \[2 \cdot \sin \left({x}^{2}\right)\]
  2. Using strategy rm
  3. Applied add-cube-cbrt30.0

    \[\leadsto 2 \cdot \color{blue}{\left(\left(\sqrt[3]{\sin \left({x}^{2}\right)} \cdot \sqrt[3]{\sin \left({x}^{2}\right)}\right) \cdot \sqrt[3]{\sin \left({x}^{2}\right)}\right)}\]
  4. Using strategy rm
  5. Applied add-cube-cbrt30.1

    \[\leadsto 2 \cdot \left(\left(\sqrt[3]{\sin \left({x}^{2}\right)} \cdot \sqrt[3]{\color{blue}{\left(\sqrt[3]{\sin \left({x}^{2}\right)} \cdot \sqrt[3]{\sin \left({x}^{2}\right)}\right) \cdot \sqrt[3]{\sin \left({x}^{2}\right)}}}\right) \cdot \sqrt[3]{\sin \left({x}^{2}\right)}\right)\]

Runtime

Time bar (total: 21.7s)Debug log

herbie shell --seed '#(2775764126 3555076145 3898259844 1891440260 2599947619 1948460636)' 
(FPCore (x)
  :name "2*sin(x^2)"
  (* 2 (sin (pow x 2))))