Average Error: 5.6 → 0
Time: 7.8s
Precision: 64
Internal Precision: 576
\[e^{\log a + \log b}\]
↓
\[a \cdot b\]

Error

Bits error versus a

Bits error versus b

Target

Original5.6
Target0
Herbie0
\[a \cdot b\]

Derivation

  1. Initial program 5.6

    \[e^{\log a + \log b}\]

  2. Applied simplify0

    \[\leadsto \color{blue}{a \cdot b}\]

Runtime

Time bar (total: 7.8s)Debug logProfile

herbie shell --seed '#(1071373924 2949776965 1885069702 3247780810 90874544 2263903749)' 
(FPCore (a b)
  :name "Exp of sum of logs"

  :herbie-target
  (* a b)

  (exp (+ (log a) (log b))))