Numeric.SpecFunctions:log1p from math-functions-0.1.5.2, A

Average Error: 0.1 → 0.1

Time: 2.1s

Precision: binary64

Math

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↓

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Error

Bits error versus x

Bits error versus y

Derivation

1. Initial program 0.1

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2. Using strategy rm

3. Applied sub-neg 0.1

   \[\leadsto \]

4. Applied distribute-lft-in 0.1

   \[\leadsto \]

5. Simplified 0.1

   \[\leadsto \]

6. Final simplification 0.1

   \[\leadsto \]

Reproduce

herbie shell --seed 2020180 
(FPCore (x y)
  :name "Numeric.SpecFunctions:log1p from math-functions-0.1.5.2, A"
  :precision binary64
  (* x (- 1.0 (* x y))))