Rosa's DopplerBench

Average Error: 18.4 → 1.5

Time: 3.2s

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 18.4

   \[\]

2. Simplified 3.4

   \[\leadsto \]
3. Using strategy rm

4. Applied *-un-lft-identity 3.4

   \[\leadsto \]

5. Applied times-frac 1.6

   \[\leadsto \]
6. Using strategy rm

7. Applied associate-*l/ 1.5

   \[\leadsto \]

8. Simplified 1.5

   \[\leadsto \]

9. Final simplification 1.5

   \[\leadsto \]

Reproduce

herbie shell --seed 2020191 
(FPCore (u v t1)
  :name "Rosa's DopplerBench"
  :precision binary64
  (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))))