neg log

Average Error: 0.1 → 0.1

Time: 2.7s

Precision: binary64

Math

\[-\log \left(\frac{1}{x} - 1\right)\]

↓

\[-\log \left(\frac{1}{x} - 1\right)\]

Error

Bits error versus x

Derivation

1. Initial program 0.1

   \[-\log \left(\frac{1}{x} - 1\right)\]

2. Final simplification 0.1

   \[\leadsto -\log \left(\frac{1}{x} - 1\right)\]

Reproduce

herbie shell --seed 2020156 
(FPCore (x)
  :name "neg log"
  :precision binary64
  (neg (log (- (/ 1.0 x) 1.0))))