Error

Target

Derivation

1. Initial program 0.1

   \[\left(\left(d1 \cdot d1\right) \cdot d1\right) \cdot d1\]
2. Using strategy rm

3. Applied pow10.1

   \[\leadsto \left(\left(d1 \cdot d1\right) \cdot d1\right) \cdot \color{blue}{{d1}^{1}}\]

4. Applied pow10.1

   \[\leadsto \left(\left(\color{blue}{{d1}^{1}} \cdot d1\right) \cdot d1\right) \cdot {d1}^{1}\]

5. Applied pow-plus0.1

   \[\leadsto \left(\color{blue}{{d1}^{\left(1 + 1\right)}} \cdot d1\right) \cdot {d1}^{1}\]

6. Applied pow-plus0.1

   \[\leadsto \color{blue}{{d1}^{\left(\left(1 + 1\right) + 1\right)}} \cdot {d1}^{1}\]

7. Applied pow-prod-up0

   \[\leadsto \color{blue}{{d1}^{\left(\left(\left(1 + 1\right) + 1\right) + 1\right)}}\]

8. Simplified0

   \[\leadsto {d1}^{\color{blue}{4}}\]

9. Final simplification0

   \[\leadsto {d1}^{4}\]

Reproduce

herbie shell --seed 2019089 +o rules:numerics
(FPCore (d1)
  :name "FastMath repmul"

  :herbie-target
  (pow d1 4)

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