Average Error: 0.0 → 0.0
Time: 12.8s
Precision: 64
Internal Precision: 384
\[-\log \left(\frac{1}{x} - 1\right)\]
↓
\[-\log_* (1 + (e^{\log \left(\frac{1}{x} - 1\right)} - 1)^*)\]

Error

Bits error versus x

Derivation

  1. Initial program 0.0

    \[-\log \left(\frac{1}{x} - 1\right)\]
  2. Using strategy rm

  3. Applied log1p-expm1-u0.0

    \[\leadsto -\color{blue}{\log_* (1 + (e^{\log \left(\frac{1}{x} - 1\right)} - 1)^*)}\]

Runtime

Time bar (total: 12.8s)Debug logProfile

herbie shell --seed '#(1070386091 2509006183 1430610344 1025408621 36622005 1425925650)' +o rules:numerics
(FPCore (x)
  :name "neg log"
  (- (log (- (/ 1 x) 1))))