Average Error: 0.0 → 0.0
Time: 3.3m
Precision: 64
Internal Precision: 320
\[\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i\]
↓
\[(z \cdot t + \left(y \cdot x\right))_* + (i \cdot c + \left(b \cdot a\right))_*\]

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Bits error versus a

Bits error versus b

Bits error versus c

Bits error versus i

Derivation

  1. Initial program 0.0

    \[\left(\left(x \cdot y + z \cdot t\right) + a \cdot b\right) + c \cdot i\]

  2. Applied simplify0.0

    \[\leadsto \color{blue}{(z \cdot t + \left(y \cdot x\right))_* + (i \cdot c + \left(b \cdot a\right))_*}\]

Runtime

Time bar (total: 3.3m)Debug logProfile

herbie shell --seed '#(1072840222 1305617769 1692503039 1353360431 4178980589 1488672652)' +o rules:numerics
(FPCore (x y z t a b c i)
  :name "Linear.V4:$cdot from linear-1.19.1.3"
  (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))