Rosa's DopplerBench

Average Error: 18.6 → 1.4

Time: 3.5s

Precision: binary64

Math

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↓

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Error

Bits error versus u

Bits error versus v

Bits error versus t1

Derivation

1. Initial program 18.6

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2. Using strategy rm

3. Applied associate-/r* 12.0

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4. Simplified 1.4

   \[\leadsto \]

5. Final simplification 1.4

   \[\leadsto \]

Reproduce

herbie shell --seed 2020180 
(FPCore (u v t1)
  :name "Rosa's DopplerBench"
  :precision binary64
  (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))))