Error

Target

Derivation

1. Initial program 0.1

   \[\left(d1 \cdot \left(\left(\left(\left(\left(d1 \cdot \left(d1 \cdot d1\right)\right) \cdot d1\right) \cdot d1\right) \cdot \left(d1 \cdot d1\right)\right) \cdot d1\right)\right) \cdot d1\]

2. Applied simplify0.1

   \[\leadsto \color{blue}{\left({d1}^{3} \cdot \left(d1 \cdot d1\right)\right) \cdot \left({d1}^{3} \cdot \left(d1 \cdot d1\right)\right)}\]
3. Using strategy rm

4. Applied pow20.1

   \[\leadsto \left({d1}^{3} \cdot \left(d1 \cdot d1\right)\right) \cdot \left({d1}^{3} \cdot \color{blue}{{d1}^{2}}\right)\]

5. Applied pow-prod-up0.1

   \[\leadsto \left({d1}^{3} \cdot \left(d1 \cdot d1\right)\right) \cdot \color{blue}{{d1}^{\left(3 + 2\right)}}\]

6. Applied pow20.1

   \[\leadsto \left({d1}^{3} \cdot \color{blue}{{d1}^{2}}\right) \cdot {d1}^{\left(3 + 2\right)}\]

7. Applied pow-prod-up0.1

   \[\leadsto \color{blue}{{d1}^{\left(3 + 2\right)}} \cdot {d1}^{\left(3 + 2\right)}\]

8. Applied pow-prod-up0

   \[\leadsto \color{blue}{{d1}^{\left(\left(3 + 2\right) + \left(3 + 2\right)\right)}}\]

Runtime

Time bar (total: 13.5s)Debug logProfile

herbie shell --seed '#(1071979731 1496239409 439705970 2863295848 982327776 189749553)' +o rules:numerics
(FPCore (d1)
  :name "FastMath test5"

  :herbie-target
  (pow d1 10)

  (* (* d1 (* (* (* (* (* d1 (* d1 d1)) d1) d1) (* d1 d1)) d1)) d1))