Average Error: 18.5 → 1.2
Time: 2.5s
Precision: binary64
\[\]
↓
\[\]

Error

Bits error versus u

Bits error versus v

Bits error versus t1

Derivation

  1. Initial program 18.5

    \[\]

  2. Simplified3.4

    \[\leadsto \]
  3. Using strategy rm

  4. Applied *-un-lft-identity3.4

    \[\leadsto \]

  5. Applied times-frac1.3

    \[\leadsto \]
  6. Using strategy rm

  7. Applied associate-*l/1.2

    \[\leadsto \]

  8. Simplified1.2

    \[\leadsto \]

  9. Final simplification1.2

    \[\leadsto \]

Reproduce

herbie shell --seed 2020192 
(FPCore (u v t1)
  :name "Rosa's DopplerBench"
  :precision binary64
  (/ (* (neg t1) v) (* (+ t1 u) (+ t1 u))))