Average Error: 39.2 → 0.0
Time: 21.8s
Precision: 64
Ground Truth: 128
\[\sqrt{\frac{e^{2 \cdot x} - 1}{e^{x} - 1}}\]
⬇
\[\sqrt{\frac{e^{x} + 1}{1}}\]

Error

Bits error versus x

Derivation

  1. Initial program 39.2

    \[\sqrt{\frac{e^{2 \cdot x} - 1}{e^{x} - 1}}\]

  2. Applied simplify 0.0

    \[\leadsto \color{blue}{\sqrt{\frac{e^{x} + 1}{1}}}\]
  3. Removed slow pow expressions

Runtime

Total time: 21.8s Debug log

Please include this information when filing a bug report:

herbie --seed '#(4267669001 3365586111 3577852681 2525287790 3591304228 2201911344)'
(FPCore (x)
  :name "NMSE problem 3.4.4"
  (sqrt (/ (- (exp (* 2 x)) 1) (- (exp x) 1))))