Average Error: 39.3 → 0.0
Time: 11.3s
Precision: 64
Internal Precision: 1344
\[\sqrt{\frac{e^{2 \cdot x} - 1}{e^{x} - 1}}\]
\[\sqrt{1 + e^{x}}\]

Error

Bits error versus x

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 39.3

    \[\sqrt{\frac{e^{2 \cdot x} - 1}{e^{x} - 1}}\]
  2. Applied simplify0.0

    \[\leadsto \color{blue}{\sqrt{1 + e^{x}}}\]

Runtime

Time bar (total: 11.3s)Debug log

herbie shell --seed '#(2775764126 3555076145 3898259844 1891440260 2599947619 1948460636)' 
(FPCore (x)
  :name "sqrt((exp(2*x)-1)/(exp(x)-1))"
  (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))))