Average Error: 0.3 → 0
Time: 1.5s
Precision: 64
Internal Precision: 384
\[d \cdot 10 + d \cdot 20\]
↓
\[\left(20 + 10\right) \cdot d\]

Error

Bits error versus d

Target

Original0.3
Target0
Herbie0
\[d \cdot 30\]

Derivation

  1. Initial program 0.3

    \[d \cdot 10 + d \cdot 20\]

  2. Applied simplify0

    \[\leadsto \color{blue}{\left(20 + 10\right) \cdot d}\]

Runtime

Time bar (total: 1.5s)Debug logProfile

herbie shell --seed '#(1070864556 424010669 783715395 1203517814 4070606583 4107618214)' +o rules:numerics
(FPCore (d)
  :name "FastMath test1"

  :herbie-target
  (* d 30)

  (+ (* d 10) (* d 20)))