Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, E

Average Error: 0.2 → 0.2

Time: 1.4s

Precision: binary64

Math

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↓

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Error

Bits error versus x

Target

Original	0.2
Target	0.2
Herbie	0.2

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Derivation

1. Initial program 0.2

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2. Taylor expanded around 0 0.2

   \[\leadsto \]

3. Simplified 0.2

   \[\leadsto \]
4. Using strategy rm

5. Applied sub-neg 0.2

   \[\leadsto \]

6. Applied distribute-lft-in 0.2

   \[\leadsto \]

7. Simplified 0.2

   \[\leadsto \]

8. Final simplification 0.2

   \[\leadsto \]

Reproduce

herbie shell --seed 2020179 
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, E"
  :precision binary64

  :herbie-target
  (- (* 6.0 x) (* 9.0 (* x x)))

  (* (* 3.0 (- 2.0 (* x 3.0))) x))