Error

Target

Derivation

1. Initial program 0.1

   \[\left(d1 \cdot 3 + d1 \cdot d2\right) + d1 \cdot d3\]

2. Applied simplify0.0

   \[\leadsto \color{blue}{(d1 \cdot \left(d2 + 3\right) + \left(d3 \cdot d1\right))_*}\]
3. Using strategy rm

4. Applied add-sqr-sqrt32.3

   \[\leadsto \color{blue}{\sqrt{(d1 \cdot \left(d2 + 3\right) + \left(d3 \cdot d1\right))_*} \cdot \sqrt{(d1 \cdot \left(d2 + 3\right) + \left(d3 \cdot d1\right))_*}}\]
5. Using strategy rm

6. Applied pow132.3

   \[\leadsto \sqrt{(d1 \cdot \left(d2 + 3\right) + \left(d3 \cdot d1\right))_*} \cdot \color{blue}{{\left(\sqrt{(d1 \cdot \left(d2 + 3\right) + \left(d3 \cdot d1\right))_*}\right)}^{1}}\]

7. Applied pow132.3

   \[\leadsto \color{blue}{{\left(\sqrt{(d1 \cdot \left(d2 + 3\right) + \left(d3 \cdot d1\right))_*}\right)}^{1}} \cdot {\left(\sqrt{(d1 \cdot \left(d2 + 3\right) + \left(d3 \cdot d1\right))_*}\right)}^{1}\]

8. Applied pow-prod-down32.3

   \[\leadsto \color{blue}{{\left(\sqrt{(d1 \cdot \left(d2 + 3\right) + \left(d3 \cdot d1\right))_*} \cdot \sqrt{(d1 \cdot \left(d2 + 3\right) + \left(d3 \cdot d1\right))_*}\right)}^{1}}\]

9. Applied simplify0.0

   \[\leadsto {\color{blue}{\left((d1 \cdot \left(d3 + 3\right) + \left(d2 \cdot d1\right))_*\right)}}^{1}\]

Runtime

Time bar (total: 18.2s)Debug logProfile

herbie shell --seed 2020178 +o rules:numerics
(FPCore (d1 d2 d3)
  :name "FastMath test3"

  :herbie-target
  (* d1 (+ (+ 3 d2) d3))

  (+ (+ (* d1 3) (* d1 d2)) (* d1 d3)))