Average Error: 59.1 → 0
Time: 6.6s
Precision: 64
Internal Precision: 1344
\[\left(\left(x + 1\right) \cdot \left(x + 1\right) - x \cdot \left(x + 1\right)\right) - 1\]
\[x\]

Error

Bits error versus x

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 59.1

    \[\left(\left(x + 1\right) \cdot \left(x + 1\right) - x \cdot \left(x + 1\right)\right) - 1\]
  2. Applied simplify29.1

    \[\leadsto \color{blue}{\left(1 + x\right) - 1}\]
  3. Taylor expanded around 0 0

    \[\leadsto \color{blue}{x}\]

Runtime

Time bar (total: 6.6s)Debug log

herbie shell --seed '#(2775764126 3555076145 3898259844 1891440260 2599947619 1948460636)' 
(FPCore (x)
  :name "(x+1)*(x+1)-x*(x+1)-1"
  (- (- (* (+ x 1) (+ x 1)) (* x (+ x 1))) 1))