Average Error: 0.0 → 0.0
Time: 3.3s
Precision: 64
Internal precision: 128
\[e^{\left(x \cdot y\right) \cdot y}\]
⬇
\[e^{\left(x \cdot y\right) \cdot y}\]

Error

Bits error versus x

Bits error versus y

Target

Original0.0
Comparison0.0
Herbie0.0
\[ e^{\left(x \cdot y\right) \cdot y} \]

Derivation

  1. Initial program 0.0

    \[e^{\left(x \cdot y\right) \cdot y}\]

  2. Applied simplify 0.0

    \[\leadsto \color{blue}{e^{x \cdot {y}^2}}\]
  3. Using strategy rm

  4. Applied square-mult 0.0

    \[\leadsto e^{x \cdot \color{blue}{\left(y \cdot y\right)}}\]

  5. Applied associate-*r* 0.0

    \[\leadsto e^{\color{blue}{\left(x \cdot y\right) \cdot y}}\]
  6. Removed slow pow expressions

Runtime

Time bar (total: 3.3s) Debug log

Please include this information when filing a bug report:

herbie --seed '#(4234522085 366997160 904663687 1845620876 2939073628 262778875)'
(FPCore (x y)
  :name "Data.Random.Distribution.Normal:normalF from random-fu-0.2.6.2"

  :target
  (exp (* (* x y) y))

  (exp (* (* x y) y)))