Average Error: 58.0 → 0.0
Time: 19.0s
Precision: 64
Internal Precision: 1344
\[\frac{e^{x} - e^{-x}}{2}\]
↓
\[\sinh x\]

Error

Bits error versus x

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Results

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Derivation

  1. Initial program 58.0

    \[\frac{e^{x} - e^{-x}}{2}\]

  2. Initial simplification0.0

    \[\leadsto \sinh x\]

  3. Final simplification0.0

    \[\leadsto \sinh x\]

Runtime

Time bar (total: 19.0s)Debug logProfile

herbie shell --seed 2018214 +o rules:numerics
(FPCore (x)
  :name "Hyperbolic sine"
  (/ (- (exp x) (exp (- x))) 2))