Error

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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. Taylor expanded around 0 0.1

   \[\leadsto \left(d1 \cdot \color{blue}{{d1}^{8}}\right) \cdot d1\]

3. Taylor expanded around inf 0

   \[\leadsto \color{blue}{{d1}^{10}}\]

4. Final simplification0

   \[\leadsto {d1}^{10}\]

Reproduce

herbie shell --seed 2019008 +o rules:numerics
(FPCore (d1)
  :name "FastMath test5"

  :herbie-target
  (pow d1 10)

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

Details

Time bar (total: 3.9s)Debug log