Average Error: 0.2 → 0.0
Time: 9.3s
Precision: 64
Internal precision: 128
\[\left(d1 \cdot 10 + d1 \cdot d2\right) + d1 \cdot 20\]
⬇
\[d1 \cdot \left(d2 + 30\right)\]

Error

Bits error versus d1

Bits error versus d2

Target

Original0.2
Comparison0.0
Herbie0.0
\[ d1 \cdot \left(30 + d2\right) \]

Derivation

  1. Initial program 0.2

    \[\left(d1 \cdot 10 + d1 \cdot d2\right) + d1 \cdot 20\]

  2. Applied simplify 0.0

    \[\leadsto \color{blue}{\left(\left(d2 + 10\right) + 20\right) \cdot d1}\]

  3. Applied taylor 0.0

    \[\leadsto 30 \cdot d1 + d1 \cdot d2\]

  4. Taylor expanded around 0 0.0

    \[\leadsto \color{blue}{30 \cdot d1 + d1 \cdot d2}\]

  5. Applied simplify 0.0

    \[\leadsto \color{blue}{d1 \cdot \left(d2 + 30\right)}\]
  6. Removed slow pow expressions

Runtime

Time bar (total: 9.3s) Debug log

Please include this information when filing a bug report:

herbie --seed '#(411503806 3670977261 170911019 4201445429 1245464081 3707362370)'
(FPCore (d1 d2)
  :name "FastMath test2"

  :target
  (* d1 (+ 30 d2))

  (+ (+ (* d1 10) (* d1 d2)) (* d1 20)))