Average Error: 5.7 → 0
Time: 9.2s
Precision: 64
Internal Precision: 576
\[e^{\log a + \log b}\]
↓
\[a \cdot b\]

Error

Bits error versus a

Bits error versus b

Try it out

  1. Inputs

  2. Original Output:

    Herbie Output:

Target

Original5.7
Target0
Herbie0
\[a \cdot b\]

Derivation

  1. Initial program 5.7

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

  2. Applied simplify0

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

Runtime

Time bar (total: 9.2s)Debug logProfile

herbie shell --seed '#(1072361757 3390613284 2339397988 1175251238 145061547 3101881848)' +o rules:numerics
(FPCore (a b)
  :name "Exp of sum of logs"

  :herbie-target
  (* a b)

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