Average Error: 0.0 → 0.0
Time: 3.8s
Precision: 64
Internal Precision: 320
\[\cos^{-1} \left(\frac{1.0}{\sqrt{x^2 + y^2}^*}\right)\]
\[\cos^{-1} \left(\frac{1.0}{\sqrt{x^2 + y^2}^*}\right)\]

Error

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Bits error versus y

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Results

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Derivation

  1. Initial program 0.0

    \[\cos^{-1} \left(\frac{1.0}{\sqrt{x^2 + y^2}^*}\right)\]
  2. Initial simplification0.0

    \[\leadsto \cos^{-1} \left(\frac{1.0}{\sqrt{x^2 + y^2}^*}\right)\]
  3. Final simplification0.0

    \[\leadsto \cos^{-1} \left(\frac{1.0}{\sqrt{x^2 + y^2}^*}\right)\]

Runtime

Time bar (total: 3.8s)Debug log

herbie shell --seed '#(2775764126 3555076145 3898259844 1891440260 2599947619 1948460636)' 
(FPCore (x y)
  :name "acos(1.0 / hypot(x, y))"
  (acos (/ 1.0 (hypot x y))))