Average Error: 0.0 → 0.0
Time: 3.9s
Precision: 64
Internal Precision: 576
\[a \cdot a - b \cdot b\]
↓
\[\left(b + a\right) \cdot \left(a - b\right)\]

Error

Bits error versus a

Bits error versus b

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Your Program's Arguments

Results

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Target

Original0.0
Target0.0
Herbie0.0
\[\left(a + b\right) \cdot \left(a - b\right)\]

Derivation

  1. Initial program 0.0

    \[a \cdot a - b \cdot b\]

  2. Initial simplification0.0

    \[\leadsto \left(a + b\right) \cdot \left(a - b\right)\]

  3. Final simplification0.0

    \[\leadsto \left(b + a\right) \cdot \left(a - b\right)\]

Runtime

Time bar (total: 3.9s)Debug logProfile

herbie shell --seed 2018251 
(FPCore (a b)
  :name "Difference of squares"

  :herbie-target
  (* (+ a b) (- a b))

  (- (* a a) (* b b)))