Average Error: 58.1 → 0.0
Time: 7.8s
Precision: 64
Internal Precision: 1344
\[\frac{e^{x} - e^{-x}}{e^{x} + e^{-x}}\]
↓
\[\tanh x\]

Error

Bits error versus x

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Results

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Derivation

  1. Initial program 58.1

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

  2. Initial simplification0.0

    \[\leadsto \tanh x\]

  3. Final simplification0.0

    \[\leadsto \tanh x\]

Runtime

Time bar (total: 7.8s)Debug logProfile

herbie shell --seed 2018214 
(FPCore (x)
  :name "Hyperbolic tangent"
  (/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x)))))