Average Error: 0.0 → 0.0
Time: 45.8s
Precision: 64
Internal Precision: 384
\[\log \left(1 + e^{x}\right)\]
↓
\[\log \left(1 + e^{x}\right)\]

Error

Bits error versus x

Derivation

  1. Initial program 0.0

    \[\log \left(1 + e^{x}\right)\]

Runtime

Time bar (total: 45.8s)Debug log

herbie shell --seed '#(1743936871 1855164119 3668777427 1254258049 132811564 1366975197)' 
(FPCore (x)
  :name "logexp"
  :pre (<= -8 x 8)
  (log (+ 1 (exp x))))