Average Error: 0.2 → 0.0
Time: 1.3m
Precision: 64
Internal Precision: 1408
\[\left(d1 \cdot 10 + d1 \cdot d2\right) + d1 \cdot 20\]
↓
\[\left(\left(d2 + 10\right) + 20\right) \cdot d1\]

Error

Bits error versus d1

Bits error versus d2

Target

Original0.2
Target0.0
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 simplify0.0

    \[\leadsto \color{blue}{\left(\left(d2 + 10\right) + 20\right) \cdot d1}\]
  3. Removed slow pow expressions.

Runtime

Time bar (total: 1.3m)Debug log

herbie shell --seed '#(1567391828 2030694642 2833800258 828025724 3004380912 3532991858)' +o setup:early-exit
(FPCore (d1 d2)
  :name "FastMath test2"

  :herbie-target
  (* d1 (+ 30 d2))

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