Average Error: 0.0 → 0
Time: 1.4s
Precision: 64
Internal Precision: 320
\[x + x \cdot x\]
↓
\[(x \cdot x + x)_*\]

Error

Bits error versus x

Target

Original0.0
Target0.0
Herbie0
\[\left(1.0 + x\right) \cdot x\]

Derivation

  1. Initial program 0.0

    \[x + x \cdot x\]

  2. Applied simplify0

    \[\leadsto \color{blue}{(x \cdot x + x)_*}\]

Runtime

Time bar (total: 1.4s)Debug logProfile

herbie shell --seed 2018207 +o rules:numerics
(FPCore (x)
  :name "Expression 2, p15"
  :pre (<= 0 x 2)

  :herbie-target
  (* (+ 1.0 x) x)

  (+ x (* x x)))