Average Error: 0.0 → 0.0
Time: 1.7m
Precision: 64
Internal Precision: 576
\[\left(a + b\right) \cdot \left(a + b\right)\]
↓
\[\left(b + a\right) \cdot \left(b + a\right)\]

Error

Bits error versus a

Bits error versus b

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

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

Derivation

  1. Initial program 0.0

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

  2. Final simplification0.0

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

Runtime

Time bar (total: 1.7m)Debug logProfile

herbie shell --seed 2018216 +o rules:numerics
(FPCore (a b)
  :name "Expression 4, p15"
  :pre (and (<= 5 a 10) (<= 0 b 0.001))

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

  (* (+ a b) (+ a b)))