(sqrt (* (- 2.0) (log x)))

Average Error: 0.1 → 0.1

Time: 1.5s

Precision: binary64

Math

\[\sqrt{\left(-2\right) \cdot \log x}\]

↓

\[\sqrt{\left(-2\right) \cdot \log x}\]

Error

Bits error versus x

Derivation

1. Initial program 0.1

   \[\sqrt{\left(-2\right) \cdot \log x}\]

2. Final simplification 0.1

   \[\leadsto \sqrt{\left(-2\right) \cdot \log x}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(sqrt (* (- 2.0) (log x)))"
  :precision binary64
  (sqrt (* (neg 2.0) (log x))))